DYNAMISM by GEORGE MARTIN WILLIAMS - HTML preview
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6
3
0
0
0
0
3
0
THIRD SHELL
16
6
0
1
0
0
7
0
FOURTH SHELL
22
3
0
4
0
0
7
0
FIFTH SHELL
32
4
0
6
0
0
10
0
SIXTH SHELL
38
1
0
9
0
0
10
0
SEVENTH SHELL
37
4
0
7
0
1
12
1
99 Einsteinium
153
22
0
27
0
1
50
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
NO. OF
NO. OF NO. OF NO. OF LEFTOVER LEFTOVER
TOTAL
TOTAL
Z NAME
NEUTRONS
HE4
HE5
HE6
TRITONS DEUTERONS PARTICLES HYDROGEN
FIRST SHELL
2
1
0
0
0
0
1
0
SECOND SHELL
6
3
0
0
0
0
3
0
THIRD SHELL
16
6
0
1
0
0
7
0
FOURTH SHELL
22
3
0
4
0
0
7
0
FIFTH SHELL
32
4
0
6
0
0
10
0
SIXTH SHELL
38
1
0
9
0
0
10
0
SEVENTH SHELL
41
3
1
8
0
0
12
0
100 Fermium
157
21
1
28
0
0
50
0
ESTABLISHMENT OF NEW SHELLS
THE DYNAMISM MODEL IS PREDICATED ON THE IDEA THAT THE INNER SHELLS HAVE THE SAME
COMPOSITIONAL STRUCTURE FOR ALL ELEMENTS THAT ARE IN A GIVEN SHELL. THIS IMPLIES THAT UPON
THE ESTABLISHMENT OF A NEW SHELL, THAT A TRANSFORMATION ALWAYS OCCURS IN THE PREVIOUS
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SHELL THAT CONVERTS THE PARTICLES TO SOME STANDARD FOR THAT INNER SHELL.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS
DEUTERONS
PARTICLES
HYDROGEN
2 Helium
2
1
0
0
0
0
1
0
FIRST SHELL
2
1
0
0
0
0
1
0
FIRST SHELL
2
1
0
0
0
0
1
0
SECOND SHELL
2
0
0
0
1
0
1
1
3 Lithium
4
1
0
0
1
0
2
1
DIFFERENCE
0
0
0
0
0
0
0
0
IT IS IMPORTANT TO REALIZE THAT THESE NUCLEAR SHELLS WERE FORMED WITHIN THE PLASMA THAT
OCCUPIED ALL OF THE SPACE WITHIN THE UNIVERSE BILLIONS OF YEARS AGO. THE PLASMA DOES NOT
HAVE AN ELECTRON SHELL BECAUSE THE MAGNETIC FIELDS THAT PERMEATE THE PLASMA ARE TOO
POWERFUL TO ALLOW ELECTRON SHELLS TO FORM. THE FIRST SHELL CONTAINS TWO NEUTRONS (TWO IS
A MAGIC NUMBER), WHICH ARE THE TWO NEUTRONS IN A HELIUM FOUR (HE4) PARTICLE. THE ONLY
NUCLEUS THAT IS NOT CENTERED BY AN HE4 PARTICLE IS THE HYDROGEN NUCLEUS WHICH IS SIMPLY A PROTON. ALL OTHER SHELLS HAVE AN HE4 PARTICLE AS THE SOLE PARTICLE IN ITS FIRST SHELL. THE
LITHIUM NUCLEUS HAS FOUR NEUTRONS WHICH FORCES THE CREATION OF A NEW SHELL. WHEN A NEW
SHELL IS FORMED AND THE FIRST SHELL BECOMES THE INNER SHELL OF THE TWO SHELL NUCLEUS, THERE IS NO DIFFERENCE BETWEEN THE NUMBER OF PARTICLES BETWEEN THE FIRST SHELL OF THE
HELIUM NUCLEUS (WHICH IS THE ONLY SHELL) AND THE FIRST SHELL OF THE LITHIUM NUCLEUS (WHICH
HAS TWO SHELLS).
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS
DEUTERONS
PARTICLES
HYDROGEN
8 Oxygen
8
4
0
0
0
0
4
0
SECOND SHELL
6
3
0
0
0
0
3
0
SECOND SHELL
6
3
0
0
0
0
3
0
THIRD SHELL
2
0
0
0
1
0
1
1
9 Fluorine
10
4
0
0
1
0
5
1
DIFFERENCE
0
0
0
0
0
0
0
0
THE OXYGEN NUCLEUS HAS EIGHT NEUTRONS (EIGHT IS A MAGIC NUMBER), AND IS THE LAST NUCLEUS
TO HAVE ONLY TWO SHELLS. THE FLUORINE NUCLEUS HAS TEN NEUTRONS WHICH FORCES THE
CREATION OF A THIRD SHELL. THE SECOND SHELL OF THE OXYGEN NUCLEUS IS THE SAME AS THE
SECOND SHELL OF THE FLUORINE NUCLEUS BECAUSE THE EIGHT NEUTRONS OF THE OXYGEN NUCLEUS
IS EXACTLY THE SAME AS THE MAGIC NUMBER EIGHT WHICH EXACTLY FILLS OUT THIS SECOND SHELL.
THE HELIUM PARTICLE IN THE FLUOURINE NUCLEUS'S THIRD SHELL IS CREATED AS A COMPLETELY NEW
PARTICLE DURING THE FUSION PROCESS.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS
DEUTERONS
PARTICLES
HYDROGEN
24 Chromium
28
10
0
2
0
0
12
0
THIRD SHELL
20
6
0
2
0
0
8
0
THIRD SHELL
16
6
0
1
0
0
7
0
FOURTH SHELL
6
0
0
1
1
0
2
1
25 Manganese
30
10
0
2
1
0
13
1
DIFFERENCE
4
0
0
1
0
0
1
0
NOTE THE DIFFERENCE BETWEEN THE CHROMIUM NUCLEUS'S THIRD SHELL AND THE MANGANESE
NUCLEUS'S THIRD SHELL. THERE IS A DIFFERENCE OF FOUR NEUTRONS WHICH IS DUE TO A HELIUM SIX
(HE6) PARTICLE BEING TAKEN OUT OF THE THE THIRD SHELL OF THE MANGANESE NUCLEUS AND PLACED
WITHIN THE FOURTH SHELL OF THE NUCLEUS. THIS IS SURPRISING BECAUSE THE CHROMIUM NUCLEUS
HAS EXACTLY TWENTY-EIGHT NEUTRONS AND TWENTY-EIGHT IS A MAGIC NUMBER. SINCE THE TOTAL
NUMBER OF NEUTRONS IN THE CHROMIUM NUCLEUS IS EXACTLY THE SAME AS THE MAGIC NUMBER, I EXPECTED THAT A BRAND NEW SHELL WOULD BE STARTED WITH A COMPLETELY NEW PARTICLE FOR THE
FOURTH SHELL OF THE MANGANESE NEUCLEUS. BUT INSTEAD THE MANGANESE NUCLEUS TRANSFERRED
AN HE6 PARTICLE FROM ITS THIRD SHELL TO ITS FOURTH SHELL. THE TOTAL DIFFERENCE IN NEUTRON
NUMBERS BETWEEN THE CHROMIUM NUCLEUS AND THE MANGANESE NUCLEUS IS TWO NEUTRONS, WHICH IS ACCOUNTED FOR BY A SINGLE TRITON PARTICLE. THERE SEEMS TO BE AN OVERALL PATTERN
WHERE ALPHA PARTICLES HAVE TO BE THE MAJORITY OF THE PARTICLES IN EVERY SHELL. WHENEVER IT
IS POSSIBLE FOR A SINGLE TRITON, OR A SINGLE DEUTERON, (WHICH ARE HYDROGEN PARTICLES), TO BE
THE ONLY PARTICLE IN A NEW SHELL, THIS NEVER HAPPENS. WHAT ACTUALLY HAPPENS IS THAT ONE, OR
MORE, ALPHA PARTICLES IS PULLED OUT OF THE INNER SHELL AND PLACED IN THE NEW OUTER SHELL
BESIDE THE HYDROGEN PARTICLE.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS
DEUTERONS
PARTICLES
HYDROGEN
4O Zirconium
50
15
0
5
0
0
20
0
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FOURTH SHELL
26
5
0
4
0
0
9
0
FOURTH SHELL
22
3
0
4
0
0
7
0
FIFTH SHELL
6
2
0
0
1
0
3
1
41 Niobium
52
15
0
5
1
0
21
1
DIFFERENCE
4
2
0
0
0
0
2
0
THE ZIRCONIUM NUCLEUS HAS FIFTY NEUTRONS WHICH IS A MAGIC NUMBER FOR NEUTRONS. AGAIN I EXPECTED THAT NEW SHELL WOULD BE FORMED FOR THE NIOBIUM PARTICLE THAT WOULD HAVE A BRAND NEW CREATED PARTICLE, FOR THIS WAS ANOTHER OPPORTUNITY FOR A HYDROGEN PARTICLE TO
EXIST BY ITSELF IN A NEW SHELL. HOWEVER, THIS IS NOT TO BE, FOR THERE IS A DIFFERENCE OF FOUR
NEUTRONS BETWEEN THE ZIRCONIUM FOURTH SHELL AND THE NIOBIUM FOURTH SHELL WHICH IS DUE
TO TWO OF THE HE4 PARTICLES BEING REMOVED FROM THE NIOBIUM NUCLEUS'S FOURTH SHELL AND
PLACED IN ITS FIFTH SHELL, RIGHT BESIDE THE TRITON HYDROGEN PARTICLE. IT BECOMES MORE AND
MORE APPARENT THAT FOR SOME REASON, THERE IS A CLEAR BIAS AGAINST THE HYDROGEN PARTICLES
OCCUPYING ANY SHELL, (EXCEPT THE FIRST SHELL), BY THEMSELVES.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS
DEUTERONS
PARTICLES
HYDROGEN
60 Neodymium
82
19
0
11
0
0
30
0
FIFTH SHELL
36
6
0
6
0
0
12
0
FIFTH SHELL
32
4
0
6
0
0
10
0
SIXTH SHELL
6
2
0
0
1
0
3
1
61 Promethium
84
19
0
11
1
0
31
1
DIFFERENCE
4
2
0
0
0
0
2
0
THE EXACT SAME THING HAPPENS HERE AGAIN. THE NEODYMIUM NUCLEUS HAS EXACTLY EIGHTY-TWO
NEUTRONS, (WHICH IS A MAGIC NUMBER FOR NEUTRONS), WHILE THE PROMETHIUM NUCLEUS HAS
EIGHTY-FOUR NEUTRONS, WHICH PRESENTS AN OPPORTUNITY FOR A TRITON NUCLEUS TO OCCUPY THE
NEW SIXTH SHELL ALL BY ITSELF. BUT THIS IS NOT TO BE, BECAUSE TWO HE4 PARTICLES ARE REMOVED
FROM THE FIFTH SHELL OF THE NEODYMIUM NUCLEUS AND PLACED IN THE SIXTH SHELL BESIDE THE
TRITON HYDROGEN PARTICLE, JUST AS WHAT OCCURRED IN THE PREVIOUS CASE.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS DEUTERONS
PARTICLES
HYDROGEN
83 Bismuth
126
20
0
21
1
0
42
1
SIXTH SHELL
48
3
0
10
1
0
14
1
SIXTH SHELL
38
1
0
9
0
0
10
0
SEVENTH SHELL
9
3
1
0
0
0
4
0
84 Polonium
125
21
1
20
0
0
42
0
DIFFERENCE
10
2
0
1
1
0
4
1
IN THE CASE OF THE CREATION OF THE NEW SEVENTH SHELL, THE DIFFERENCE BETWEEN THE BISMUTH
NUCLEUS'S SIXTH SHELL, AND THE POLONIUM NUCLEUS'S SIXTH SHELL IS TEN NEUTRONS. TWO HE4, ONE HE6, AND ONE TRITON ARE TAKEN OUT OF THE BISMUTH NUCLEUS'S SIXTH SHELL AND FIND THEIR
WAY INTO POLONIUM'S SEVENTH SHELL. APPARENTLY, SINCE POLONIUM HAS ONE MORE PROTON THAN
BISMUTH HAS, AND HAS ONE LESS NUETRON THAN BISMUTH HAS, THAT MOST LIKELY A BISMUTH
NEUTRON EMITTED AN ELECTRON THROUGH BETA PARTICLE RADIATION, TO BECOME A POLONIUM
PROTON.
THIS WOULD INFER THAT ALL POLONIUM NUCLEI ARE ACTUALLY FORMED FROM THE BETA DECAY OF A BISMUTH NUCLEI. MATHEMATICALLY SPEAKING, THIS PROCESS REQUIRES THAT THE AN HE6 PARTICLE
FROM THE BISMUTH SIXTH SHELL, SPONTANEOUSLY FISSIONS INTO AN HE4 PARTICLE PLUS TWO
NEUTRONS. THE TWO NEUTRONS WOULD THEN BETA DECAY, BY EMITTING AN ELECTRON, TO BECOME A NEUTRON PLUS A PROTON, WHICH IS A DEUTERON PARTICLE. THE DEUTERON WHICH HAS A PROTON AND
A NEUTRON, WOULD THEN COMBINE WITH THE TRITON, WHICH HAS A PROTON AND TWO NEUTRONS, TO
FORM AN HE5 PARTICLE WHICH HAS TWO PROTONS AND FIVE NEUTRONS.
THE NET CHANGE IS THAT THE POLONIUM SEVENTH SHELL GAINS AN HE4 AND AN HE5 ALPHA PARTICLE, BUT HAS ONE LESS HE6 PARTICLE, AND ONE LESS NEUTRON THAN THE DIFFERENCE BETWEEN THE SIXTH
SHELLS OF THE BISMUTH AND POLONIUM NUCLEI.
Z NAME
NEUTRONS HE4 HE5 HE6 TRITONS DEUTERONS
PARTICLES
HYDROGEN
83 Bismuth
126
20
0
21
1
0
42
1
--
-
-
-
-
-
-
-
-
DIFFERENCE
10
2
0
1
1
0
4
1
--
-
-
-
-
-
-
-
-
SEVENTH SHELL
9
3
1
0
0
0
4
0
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84 Polonium
125
21
1
20
0
0
42
0
NO. OF
NO. OF NO. OF NO. OF LEFTOVER
LEFTOVER
TOTAL
TOTAL
Z NAME
NEUTRONS
HE4
HE5
HE6
TRITONS
DEUTERONS PARTICLES HYDROGEN
82 Lead
126
19
0
22
0
0
41
0
83 Bismuth
126
20
0
21
1
0
42
1
84 Polonium
125
21
1
20
0
0
42
0
85 Astatine
125
22
0
20
0
1
43
1
86 Radon
136
18
0
25
0
0
43
0
87 Francium
136
19
0
24
1
0
44
1
88 Radium
138
19
0
25
0
0
44
0
NOTE THAT THE TOTAL NEUTRON NUMBERS FOR POLONIUM AND ASTATINE, (125), ARE LOWER THAN THE
TWO NUCLEI THAT PRECEDED THEM, WHICH ARE LEAD AND BISMUTH, (126), WHICH MAKES NO LOGICAL
SENSE UNTIL YOU LOOK AT THE TOTAL PARTICLE NUMBERS FOR ALL FOUR NUCLEI. FOR SOME REASON, THE NEUTRON NUMBERS ARE FORCED TO CHANGE IN ORDER TO PRESERVE THE SEQUENTIAL PATTERN
ESTABLISHED BY THE TOTAL PARTICLE NUMBERS FOR ALL OF THESE NUCLEI.
THE MAIN THING THAT I TOOK AWAY FROM STUDYING THESE TABLES, IS THAT, AS PER THE PREMISE THAT
THE INNER SHELLS ARE IDENTICAL FOR ALL OF THE NUCLEI AT A CERTAIN SHELL LEVEL, THERE IS A FLEXIBILITY IN THE PARTICLES THAT COMPOSE THE VARIOUS SHELLS, SUCH THAT THEY WILL
TRANSFORM, AS IS NECESSARY, FROM ONE TYPE OF PARTICLE TO ANOTHER, IN ORDER TO MAINTAIN SOME
TYPE OF OVERALL PATTERN. THIS IS A VERY SURPRISING FINDING FOR ME. I DID NOT EVEN SUSPECT THAT
AS A POSSIBILITY!
THE DYNAMISM NUCLEAR SHELL MODEL
THE NEUTRINO AND THE PHOTON ARE THE MOST FUNDAMENTAL PARTICLES BECAUSE THEY CANNOT BE
BROKEN DOWN INTO ANY SMALLER PARTICLE. THE PHOTONS ARE THE SOLE COMPONENTS OF
ELECTRONS AND POSITRONS, WITH P-STRING PHOTONS BEING THE SOLE COMPONENTS OF THE
POSITIVELY CHARGED POSITRON, AND N-STRING PHOTONS BEING THE SOLE COMPONENTS OF THE
NEGATIVELY CHARGED ELECTRONS. HOWEVER, THE OVERALL CHARGE OF THE UNIVERSE IS NEUTRAL
WHICH MEANS THAT THERE ARE EXACTLY AS MANY POSITIVE CHARGES AS THERE ARE NEGATIVE
CHARGES. SINCE THE OVERWHELMINGLY VAST MAJORITY OF THE ELECTRON/POSITRON PARTICLES ARE
THE NEGATIVELY CHARGED ELECTRONS, THIS FORCES THE POSITIVE CHARGES TO ACCUMULATE
SOMEWHERE ELSE IN ORDER TO BALANCE OUT THIS COSMIC EQUATION.
THE QUARKS ARE WHERE THE OVERWHELMINGLY VAST MAJORITY OF THE POSITIVE CHARGES
ACCUMULATE. THERE IS ONLY ONE TYPE OF QUARK, AND THAT IS THE UPQUARK WHICH HAS POSITIVE
TWO-THIRDS CHARGE. EACH UPQUARK HAS TWO-THIRDS OF THE P-STRING PHOTONS WHICH COMPRISE A POSITRON; THE REST OF THE MASS OF THE QUARK IS MADE UP OF NEUTRINOS. THE OVERWHELMINGLY
VAST MAJORITY OF THE NEUTRINOS THAT ARE WITHIN THE UNIVERSE ARE WITHIN THESE UPQUARKS.
THE UNIVERSE HAS A SIMPLE WAY TO BALANCE THIS PHYSICS EQUATION; AND THAT IS TO TAKE TWO
ELECTRONS AND TWO POSITRONS AND SOME NEUTRINOS AND TO MAKE THE EQUIVALENT OF A NEUTRON, WHICH IS A NEUTRALLY CHARGED PARTICLE. BUT THE UNIVERSE IS EXTREMELY EFFICIENT, AND
EXTREMELY CLEVER IN THE NUMBER OF WAYS THAT IT CREATES THESE NEUTRONS. THE HYDROGEN
ATOM IS NEUTRALLY CHARGED AND HAS ALL THE SAME COMPONENTS AS A NEUTRON. WITHIN THE PURE
PLASMA WHICH IS EFFECTIVELY DARK MATTER, THERE EXISTS A PROTON/ELECTRON PAIR WHICH IS NON-ATOMIC BUT HAS THE SAME COMPONENTS AS A NEUTRON. EVEN A POSITRON/ELECTRON PAIR CAN BE
CONSIDERED TO BE A 'NEUTRON' IN THE SENSE THAT THE TWO TOGETHER ARE NEUTRALLY CHARGED.
BUT THE BASIC IDEA IS A PROTON AND AN ELECTRON NEUTRALIZING EACH OTHER'S CHARGE.
THE STRUCTURE OF THE PARTICLES THAT ARE LARGER THAN AN ELECTRON ARE HYPOTHESIZED TO BE
RATHER FRACTAL IN NATURE, WITHIN THE DYNAMISM MODEL. BY 'FRACTAL', IT IS MEANT THAT THEY ARE
ALL SELF-SIMILAR. THE BASIC FEATURES ARE REPEATED AT EVERY LEVEL: 1. THE NEGATIVELY CHARGED ELECTRON, OR ELECTRONS, SURROUNDED BY POSITIVELY CHARGED
PARTICLES, IS A BASIC FEATURE.
2. THE PROTON CONSISTS OF A SINGLE ELECTRON SURROUNDED BY THREE POSITIVELY CHARGED
UPQUARKS.
3. THE NEUTRON CONSISTS OF A PAIR OF ELECTRONS (DOUBLE ELECTRON) SURROUNDED BY THREE
UPQUARKS.
4. THE DEUTERON IS A SINGLE ELECTRON SURROUNDED BY TWO PROTONS.
5. THE TRITON IS A DOUBLE ELECTRON PAIR SURROUNDED BY THREE PROTONS.
6. THE NUMBER OF ELECTRONS AT THE CENTER OF AN ALPHA PARTICLE IS THE SAME AS THE NUMBER
OF NEUTRONS WITHIN THE PARTICLE.
7. THE HE3 IS A SINGLE ELECTRON (ONE ELECTRON = ONE NEUTRON) SURROUNDED BY THREE
PROTONS.
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8. THE HE4 IS A DOUBLE ELECTRON (TWO ELECTRONS = TWO NEUTRONS) SURROUNDED BY FOUR
PROTONS.
9. THE HE5 IS A TRIPLE ELECTRON (THREE ELECTRONS = THREE NEUTRONS) SURROUNDED BY FIVE
PROTONS.
10. THE HE6 IS A QUADRUPLE ELECTRON (FOUR ELECTRONS = FOUR NEUTRONS) SURROUNDED BY SIX
PROTONS.
11. NOTE THAT THE OVERALL PATTERN FOR HYDROGEN PARTICLES IS: 1. THERE IS A SINGLE ELECTRON SURROUNDED BY QUARKS AT THE CENTER OF THE H1 PARTICLE.
2. THERE IS A SINGLE ELECTRON SURROUNDED BY TWO PROTONS AT THE CENTER OF THE H2
PARTICLE (DEUTERON).
3. THERE IS A DOUBLE ELECTRON SURROUNDED BY THREE PROTONS AT THE CENTER OF THE H3
PARTICLE (TRITON).
12. NOTE THAT THE OVERALL PATTERN FOR HELIUM PARTICLES IS: 1. THERE IS A SINGLE ELECTRON SURROUNDED BY THREE PROTONS AT THE CENTER OF THE HE3
PARTICLE.
2. THERE IS A DOUBLE ELECTRON SURROUNDED BY FOUR PROTONS AT THE CENTER OF THE HE4
PARTICLE.
3. THERE IS A TRIPLE ELECTRON SURROUNDED BY FIVE PROTONS AT THE CENTER OF THE HE5
PARTICLE.
4. THERE IS A QUADRUPLE ELECTRON SURROUNDED BY SIX PROTONS AT THE CENTER OF THE HE6
PARTICLE.
13. THE FIRST ELEMENT IS ALWAYS A HYDROGEN PARTICLE IN THE FIRST SHELL AND THESE ALWAYS
HAVE AN ELECTRON AT THE CENTER.
14. ALL OTHER ELEMENTS HAVE AN HE4 PARTICLE IN THEIR FIRST SHELL, AND THERE IS ALWAYS AN
ELECTRON AT THE CENTER OF THE HE4 PARTICLE.
15. FOR THE THIRD ELEMENT AND HIGHER, THE FIRST SHELL IS THE CENTER OF THE NUCLEI, AND IT IS
ALWAYS A HE4 PARTICLE, AND IT ALWAYS HAS AN ELECTRON AT ITS CENTER.
16. ATOMIC NUCLEI ARE LIKE ONIONS AND ONIONS HAVE LAYERS.
17. THE INNERMOST LAYER AT THE CENTER IS AN HE4 ALPHA PARTICLE WHICH IS SURROUNDED BY AS
MANY AS SIX OTHER LAYERS.
18. MY CONCLUSION, AS PER THIS HYPOTHETICAL DYNAMISM MODEL FOR THE NUCLEAR STRUCTURE, IS
THAT ALL NUCLEI HAVE ELECTRONS AT THEIR CORE.
19. THE MONOPOLAR MAGNETIC FIELD EMANATING FROM THESE CORE ELECTRONS IS ADDED TO BY ALL
THE OTHER CHARGED PARTICLES THAT SURROUND THEM, AND THIS CREATES THE OVERALL
MAGNETIC FIELD THAT PROVIDE THE ORBITAL PATHS FOR ALL THE CHARGED PARTICLES IN SHELL
THREE AND HIGHER.
20. THE FIRST ONE HUNDRED ELEMENTS ARE IN SEVEN SHELLS. THE SHELLS ARE AS FOLLOWS
1. FIRST SHELL: MAGIC NUMBER FOR NEUTRONS IS TWO (2).
2. SECOND SHELL: MAGIC NUMBER FOR NEUTRONS IS EIGHT (8).
3. THIRD SHELL: MAGIC NUMBER FOR NEUTRONS IS TWENTY-EIGHT (28).
4. FOURTH SHELL: MAGIC NUMBER FOR NEUTRONS IS FIFTY (50).
5. FIFTH SHELL: MAGIC NUMBER FOR NEUTRONS IS EIGHTY-TWO (82).
6. SIXTH SHELL: MAGIC NUMBER FOR NEUTRONS IS ONE HUNDRED AND TWENTY-SIX (126).
7. SEVENTH SHELL: MAGIC NUMBER FOR NEUTRONS IS ONE HUNDRED AND TWENTY-SIX PLUS
(126+).
FIRST
1
2
3
4
5
6
7
8
SHELL
1 H
2 He
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
SECOND
1
2
3
4
5
6
7
8
SHELL
3 Li
4 Be
5 B
6 C
7 N
8 O
-
-
-
-
-
-
-
-
-
-
-
THIRD
1
2
3
4
5
6
7
8
SHELL
9 F
1O Ne
11 Na
12 Mg
13 Al
14 Si
15 P
16 S
-
17 Cl
18 Ar
19 K
20 Ca
21 Sc
22 Ti
23 V
24 Cr
-
-
-
-
-
-
-
-
-
FOURTH
1
2
3
4
5
6
7
8
SHELL
25 Mn
26 Fe
27 Co
28 Ni
29 Cu
30 Zn
31 Ga
32 Ge
-
33 As
34 Se
35 Br
36 Kr
37 Rb
38 Sr
39 Y
40 Zr
-
-
-
-
-
-
-
-
-
FIFTH
1
2
3
4
5
6
7
8
SHELL
41 Nb
42 Mo
43 Tc
44 Ru
45 Rh
46 Pd
47 Ag
48 Cd
-
49 In
50 Sn
51 Sb
52 Te
53 I
54 Xe
55 Cs
56 Ba
-
57 La
58 Ce
59 Pr
60 Nd
-
-
-
-
-
-
-
-
-
-
-
-
-
SIXTH
1
2
3
4
5
6
7
8
SHELL
61 Pm
62 Sm
63 Eu
64 Gd
65 Tb
66 Dy
67 Ho
68 Er
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-
69 Tm
7O Yb
71 Lu
72 Hf
73 Ta
74 W
75 Re
76 Os
-
77 Ir
78 Pt
79 Au
8O Hg
81 Tl
82 Pb
83 Bi
-
-
-
-
-
-
-
-
-
-
SEVENTH
1
2
3
4
5
6
7
8
SHELL
84 Po
85 At
86 Rn
87 Fr
88 Ra
89 Ac
90 Th
91 Pa
-
92 U
93 Np
94 Pu
95 Am
96 Cm
97 Bk
98 Cf
99 Es
-
100 Fm
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
DYNAMISM MODEL FOR ALPHA PARTICLE RADIATION
IN THE DYNAMISM MODEL, THE REASON FOR ALPHA PARTICLE RADIATION FROM THE NUCLEUS OF ATOMS, IS THE CONVERSE OF THE REASON FOR THE INTEGRITY OF THE STRUCTURE OF THE NUCLEUS. THE
STRENGTH OF THE MONOPOLAR MAGNETIC FIELD AT SHORTER DISTANCES FROM THE CENTER OF THE
NUCLEUS IS WHAT MAINTAINS THE INTEGRITY OF THE NUCLEAR STRUCTURE. THIS IS TRUE FOR THE
SIXTH SHELL, THE FIFTH SHELL, THE FOURTH SHELL, ALL THE WAY DOWN TO THE FIRST SHELL. BUT THE
SEVENTH SHELL OF THE LARGEST NUCLEI IS FAR AWAY FROM THE CENTER OF THE NUCLEUS OF THE
ATOM, AND THIS DISTANCE SEVERELY WEAKENS THE STRENGTH OF THE MONOPOLAR MAGNETIC FIELD
BECAUSE THE FORCE OF THE MAGNETIC FIELD OBEYS THE INVERSE CUBE LAW.
MAGNETIC MONOPOLE
F = L X T
R^3
F = FORCE L = MAGNETIC CONSTANT = 1.2566438025 × 10^-6 T = TESLA R = DISTANCE
THE ELECTRICALLY CHARGED PARTICLES WITHIN THE NUCLEAR SHELLS, WILL ALL ORBIT THE CENTER OF
THE NUCLEUS BY FOLLOWING THE MAGNETIC FIELD LINES WHICH ARE GENERATED BY THE MOVEMENT
OF THE POSITIVELY CHARGED NUCLEUS. THE FIELD LINES ARE STRONGEST NEAR THE CENTER AND THEN
TAPER OFF WITH INCREASING DISTANCE AWAY FROM THE CENTER. THE FIRST SIX SHELLS ARE CLOSE
ENOUGH TO THE CENTER OF THE NUCLEUS TO KEEP THE CHARGED PARTICLES SECURELY WITHIN THEIR
RESPECTIVE SHELLS. BUT THE SEVENTH SHELL IS FAR ENOUGH AWAY FROM THE CENTER TO WEAKEN
THE MAGNETIC FIELD ENOUGH TO CREATE THE OPPORTUNITY FOR CHARGED PARTICLES TO ESCAPE.
I HYPOTHESIZE THAT EACH NUCLEAR SHELL WOULD HAVE A WIDTH OF TWO TIMES THE DIAMETER OF A HELIUM FOUR PARTICLE. IF THE RADIUS OF A HELIUM FOUR PARTICLE IS EQUAL TO THE DIAMETER OF A PROTON PLUS THE DIAMETER OF AN ELECTRON THEN THE SHELL WIDTH WOULD BE EQUAL TO THIS
RADIUS TIME TWO AND THEN TIME ONE AND A HALF; WHICH WOULD BE EQUAL TO THIS RADIUS TIME
FOUR:
THE RADIUS OF THE SUPERSIZED PROTON IS 5.238 × 10^23 m
ELECTRON DIAMETER = 153299765289942140706 m
PROTON DIAMETER = 1047795195001787949118606 m
HE4 RADIUS = 153299765289942140706 + 1047795195001787949118606 = 1047948494767077891259312 m HE4 DIAMETER = 2 * 1047948494767077891259312 = 2095896989534155782518624 m NUCLEUS SHELL WIDTH = 2 * 2095896989534155782518624 = 4191793979068311565037248 m THE FOLLOWING TABLE IS BASED ON THE FERMIUM NUCLEUS BECAUSE IT HAS ALL SEVEN SHELLS. IT IS
BASED ON THE PREMISE THAT THE FORCE OF THE MAGNETIC MONOPOLE THAT EMANATES FROM THE
CENTER IS:
T = 1.01072984557908525741657370 × 10^146
WHICH IS THE ELECTRON'S TESLA FIGURE:
THE ESTIMATE FOR THE WIDTH OF THE SHELL IS CALCULATED UNDER THE PREMISE THAT THE SEVENTH
SHELL WILL HAVE A WEAKER MAGNETIC FIELD THAN THE FORCE OF ELECTRICAL REPULSION OF THE
PARTICLES FOR EACH OTHER. THIS MEANS THAT THE SIXTH AND LOWER SHELLS WILL HAVE A STRONG
ENOUGH MAGNETIC FIELD TO KEEP THE PARTICLES SECURELY IN PLACE, BUT THE SEVENTH SHELL WILL
NOT HAVE A STRONG ENOUGH MAGNETIC FIELD TO KEEP THE SEVENTH SHELL PARTICLES SECURELY IN
PLACE. THIS IS MY HYPOTHETICAL MODEL FOR THE REASON FOR THE ALPHA RADIATION THAT OCCURS IN
THE SEVENTH SHELL, BUT WHICH DOES NOT OCCUR IN THE SIXTH AND LOWER SHELLS.
THIS IS HOW I CALCULATE THE WIDTH OF EACH SHELL:
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83 Bismuth
F = (8.9876 × 10^9) * (81* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50) / R^2
F = (1.87783771185448471935877616505407592 × 10^112) / R^2
F = (1.27012739644873951235165450088949425 × 10^140) / R^3
(1.87783771185448471935877616505407592 × 10^112) / R^2 = (1.27012739644873951235165450088949425 ×
10^140) / R^3
R * (1.87783771185448471935877616505407592 × 10^112) = (1.27012739644873951235165450088949425 ×
10^140)
R = (1.27012739644873951235165450088949425 × 10^140) / (1.87783771185448471935877616505407592 ×
10^112)
R = 6.763776168891653354401924872 × 10^27
SHELL WIDTH = R / 6
SHELL WIDTH = (6.763776168891653354401924872 × 10^27) / 6
SHELL WIDTH = 1.127296028148608892400320812 × 10^27
SHELL #
SHELL DIAMETER
DIAMETER^2
DIAMETER^3
1
1.12729602 × 10^27
1.270796335 × 10^54
1.43256366 × 10^81
2
2.25459205 × 10^27
5.083185340 × 10^54
1.14605092 × 10^82
3
3.38188808 × 10^27
1.143716701 × 10^55
3.86792188 × 10^82
4
4.50918411 × 10^27
2.033274136 × 10^55
9.16840743 × 10^82
5
5.63648014 × 10^27
3.176990837 × 10^55
1.79070457 × 10^83
6
6.76377616 × 10^27
4.574866806 × 10^55
3.09433750 × 10^83
7
7.89107219 × 10^27
6.226902041 × 10^55
4.91369335 × 10^83
F = (L * T) / R^3
F = ((1.2566438025 × 10^-6) * (1.01072984557908525741657370 × 10^146)) / R^3
F = (1.270127396 × 10^140) / R^3
F = (1.270127396 × 10^140) / (1.432563661 × 10^81) = 8.866114861 × 10^58
F = (1.270127396 × 10^140) / (1.146050929 × 10^82) = 1.108264358 × 10^58
F = (1.270127396 × 10^140) / (3.867921885 × 10^82) = 3.283746245 × 10^57
F = (1.270127396 × 10^140) / (9.168407431 × 10^82) = 1.385330447 × 10^57
F = (1.270127396 × 10^140) / (1.790704576 × 10^83) = 7.092891888 × 10^56
F = (1.270127396 × 10^140) / (3.094337508 × 10^83) = 4.104682806 × 10^56
F = (1.270127396 × 10^140) / (4.913693358 × 10^83) = 2.584873137 × 10^56
SHELL #
SHELL DIAMETER
DIAMETER^3
MAGNETIC FIELD
1
1.12729602 × 10^27
1.43256366 × 10^81
8.866114860 × 10^58
2
2.25459205 × 10^27
1.14605092 × 10^82
1.108264357 × 10^58
3
3.38188808 × 10^27
3.86792188 × 10^82
3.283746244 × 10^57
4
4.50918411 × 10^27
9.16840743 × 10^82
1.385330446 × 10^57
5
5.63648014 × 10^27
1.79070457 × 10^83
7.092891888 × 10^56
6
6.76377616 × 10^27
3.09433750 × 10^83
4.104682805 × 10^56
7
7.89107219 × 10^27
4.91369335 × 10^83
2.584873137 × 10^56
COULOMB'S LAW
F = K X Q1 X Q2
R^2
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F = FORCE K = 8.9876 × 10^9 N⋅m^2/C^2 Q1 = FIRST CHARGE Q2 = SECOND CHARGE R = RADIUS
THE ELECTRON CHARGE TO MASS RATIO IS:
e/m = 1.758820 × 10^11 C/kg
THE SUPERSIZED RELATIVE MASS OF THE ELECTRON IS:
ELECTRON MASS = 6.456962405 x 10^40
THEREFORE THE SUPERSIZED ELECTRON'S RELATIVE CHARGE IS:
6.456962405 x 10^40 kg * 1.758820 × 10^11 C/kg = 1.13566346171621 × 10^50 C
THIS IS THE SAME CHARGE AS FOR THE SUPERSIZED PROTON.
8 OXYGEN:
F = (8.9876 × 10^9 * (6 * 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((5.083185340 ×
10^54)) = 2.736455204031550580853895960840607869710294686992467601033 × 10^56
24 Chromium:
F = (8.9876 × 10^9 * (22 * 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((1.143716701 ×
10^55)) = 4.459408482593533300478725658663849833910924065451764352613 × 10^56
4O Zirconium:
F = (8.9876 × 10^9 * (38* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((2.033274136 ×
10^55)) = 4.332720739716621753018668604664295793707966587738073701636 × 10^56
60 Neodymium:
F = (8.9876 × 10^9 * (58* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((3.176990837 ×
10^55)) = 4.232384049568231070222685382277413726138486813646419087862 × 10^56
83 Bismuth:
F = (8.9876 × 10^9 * (81* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 4.104682806047325871280843941260911804565442030488701401550 × 10^56
100 Fermium:
F = (8.9876 × 10^9 * (98* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.648606939001705389084801154181078532884535544598910127611 × 10^56
SHELL #
SHELL DIAMETER
DIAMETER^2
ELECTRICAL FORCE
1
4.19179397 × 10^24
1.270796335 × 10^54
--
2 -- 8 Oxygen
8.38358795 × 10^24
5.083185340 × 10^54
2.736455204 × 10^56
3 -- 24 Chromium
1.25753819 × 10^25
1.143716701 × 10^55
4.459408483 × 10^56
4 -- 4O Zirconium
1.67671759 × 10^25
2.033274136 × 10^55
4.332720740 × 10^56
5 -- 60 Neodymium
2.09589698 × 10^25
3.176990837 × 10^55
4.232384050 × 10^56
6 -- 83 Bismuth
2.51507638 × 10^25
4.574866806 × 10^55
4.104682806 × 10^56
7 -- 100 Fermium
2.93425578 × 10^25
6.226902041 × 10^55
3.648606939 × 10^56
MAGNETIC -
SHELL #
MAGNETIC FIELD
ELECTRICAL FORCE
ELECTRICAL
1
8.866114860 × 10^58
--
8.866114860 × 10^58
2 -- 8 Oxygen
1.108264357 × 10^58
2.736455204 × 10^56
1.080899805 × 10^58
3 -- 24 Chromium
3.283746244 × 10^57
4.459408483 × 10^56
2.837805396 × 10^57
4 -- 40 Zirconium
1.385330446 × 10^57
4.332720740 × 10^56
9.520583720 × 10^56
5 -- 60 Neodymium
7.092891888 × 10^56
4.232384050 × 10^56
2.860507838 × 10^56
6 -- 83 Bismuth
4.104682805 × 10^56
4.104682806 × 10^56
−1.00000000 × 10^47
7 -- 100 Fermium
2.584873137 × 10^56
3.648606939 × 10^56
−1.06373380 × 10^56
SIXTH AND SEVENTH SHELL ODD NUMBERED ELEMENTS
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61 Promethium:
F = (8.9876 × 10^9 * (59* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 2.989830686 × 10^56
63 Europium:
F = (8.9876 × 10^9 * (61* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.091180879 × 10^56
65 Terbium:
F = (8.9876 × 10^9 * (63* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.192531071 × 10^56
67 Holmium:
F = (8.9876 × 10^9 * (65* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.293881264 × 10^56
69 Thulium :
F = (8.9876 × 10^9 * (67* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.395231457 × 10^56
71 Lutetium :
F = (8.9876 × 10^9 * (69* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.49658165 × 10^56
73 Tantalum :
F = (8.9876 × 10^9 * (71* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.597931842 × 10^56
75 Rhenium :
F = (8.9876 × 10^9 * (73* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.699282035 × 10^56
77 Iridium:
F = (8.9876 × 10^9 * (75* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.800632228 × 10^56
79 Gold:
F = (8.9876 × 10^9 * (77* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.901982421 × 10^56
81 Thallium:
F = (8.9876 × 10^9 * (79* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 4.003332613 × 10^56
83 Bismuth:
F = (8.9876 × 10^9 * (81* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 4.104682806 × 10^56
MAGNETIC -
SHELL # 6
SHELL DIAMETER
MAGNETIC FIELD
ELECTRICAL FORCE
ELECTRICAL
61
7.89107219 ×
4.104682805 ×
2.989830686 ×
1.114852119 ×
Promethium
10^27
10^56
10^56
10^56
7.89107219 ×
4.104682805 ×
3.091180879 ×
1.013501926 ×
63 Europium
10^27
10^56
10^56
10^56
7.89107219 ×
4.104682805 ×
3.192531071 ×
65 Terbium
9.12151734 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.293881264 ×
67 Holmium
8.10801541 × 10^55
10^27
10^56
10^56
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7.89107219 ×
4.104682805 ×
3.395231457 ×
69 Thulium
7.09451348 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.496581650 ×
71 Lutetium
6.08101155 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.597931842 ×
73 Tantalum
5.06750963 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.699282035 ×
75 Rhenium
4.05400770 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.800632228 ×
77 Iridium
3.04050577 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
3.901982421 ×
79 Gold
2.02700384 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
4.003332613 ×
81 Thallium
1.01350192 × 10^55
10^27
10^56
10^56
7.89107219 ×
4.104682805 ×
4.104682806 ×
83 Bismuth
−1.0000000 × 10^47
10^27
10^56
10^56
FOR THE ODD NUMBERED ELEMENTS IN THE SIXTH SHELL, THE ONLY ELEMENT FOR WHICH THE FORCE
OF ELECTRICAL REPULSION IS GREATER THAN THE MAGNETIC FIELD, IS BISMUTH. THIS IS THE ONLY
PARTICLE IN THE SIXTH SHELL THAT IS RADIOACTIVE WITHIN THE SIXTH SHELL.
85 Astatine:
F = (8.9876 × 10^9 * (83* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.090146693 × 10^56
87 Francium:
F = (8.9876 × 10^9 * (85* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.164608059 × 10^56
89 Actinium:
F = (8.9876 × 10^9 * (87* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.239069425 × 10^56
91 Protactinium:
F = (8.9876 × 10^9 * (89* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.313530792 × 10^56
93 Neptunium:
F = (8.9876 × 10^9 * (91* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.387992158 × 10^56
95 Americium:
F = (8.9876 × 10^9 * (93* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.462453524 × 10^56
97 Berkelium:
F = (8.9876 × 10^9 * (95* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.53691489 × 10^56
99 Einsteinium:
F = (8.9876 × 10^9 * (97* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.611376256 × 10^56
MAGNETIC -
SHELL # 7
SHELL DIAMETER
MAGNETIC FIELD
ELECTRICAL FORCE
ELECTRICAL
7.89107219 ×
2.584873137 ×
3.090146693 ×
−5.05273556 ×
85 Astatine
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.164608059 ×
−5.79734922 ×
87 Francium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.239069425 ×
−6.54196288 ×
89 Actinium
10^27
10^56
10^56
10^55
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91
7.89107219 ×
2.584873137 ×
3.313530792 ×
−7.28657655 ×
Protactinium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.387992158 ×
−8.03119021 ×
93 Neptunium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.462453524 ×
−8.77580387 ×
95 Americium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.536914890 ×
−9.52041753 ×
97 Berkelium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.611376256 ×
−1.02650311 ×
99 Einsteinium
10^27
10^56
10^56
10^56
FOR THESE ODD NUMBERED ELEMENTS IN THE SEVENTH SHELL, EVERY ELEMENT HAS AN ELECTRICAL
REPULSION FORCE WHICH EXCEEDS THE MAGNETIC FIELD STRENGTH OF THE SEVENTH SHELL, AND
EVERY ELEMENT WITHIN THIS SEVENTH SHELL IS RADIOACTIVE.
NO. OF
NO. OF NO. OF NO. OF LEFTOVER LEFTOVER
TOTAL
TOTAL
Z NAME
NEUTRONS
HE4
HE5
HE6
TRITONS DEUTERONS PARTICLES HYDROGEN
85 Astatine
9
4
0
0
0
1
5
1
87 Francium
20
1
0
4
1
0
6
1
89 Actinium
22
2
0
4
1
0
7
1
91 Protactinium
24
3
0
4
1
0
8
1
93 Neptunium
28
3
0
5
1
0
9
1
95 Americium
32
3
0
6
1
0
10
1
97 Berkelium
35
4
0
6
1
0
11
1
99 Einsteinium
37
4
0
7
0
1
12
1
• EINSTEINIUM - HE6 = BERKELIUM
• BERKELIUM - HE4 = AMERICIUM
• AMERICIUM - HE6 = NEPTUNIUM
• NEPTUNIUM - HE6 = PROTACTINIUM
• PROTACTINIUM - HE4 = ACTINIUM
• ACTINIUM - HE4 = FRANCIUM
FOR BOTH THE ODD NUMBERED, AND EVEN NUMBERED ELEMENTS IN THE SEVENTH SHELL, IT IS
POSSIBLE TO MOVE FROM ONE ELEMENT TO ANOTHER USING THE ADDITION AND SUBTRACTION OF
ALPHA PARTICLES.
SIXTH AND SEVENTH SHELL EVEN NUMBERED ELEMENTS
62 Samarium:
F = (8.9876 × 10^9 * (60* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.040505782×10⁵⁶
64 Gadolinium:
F = (8.9876 × 10^9 * (62* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.141855975×10⁵⁶
66 Dysprosium:
F = (8.9876 × 10^9 * (64* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.243206168×10⁵⁶
68 Erbium:
F = (8.9876 × 10^9 * (66* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.34455636×10⁵⁶
70 Ytterbium:
F = (8.9876 × 10^9 * (68* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.445906553×10⁵⁶
72 Hafnium:
F = (8.9876 × 10^9 * (70* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.547256746×10⁵⁶
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74 Tungsten :
F = (8.9876 × 10^9 * (72* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.648606939×10⁵⁶
76 Osmium:
F = (8.9876 × 10^9 * (74* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.749957131×10⁵⁶
78 Platinum:
F = (8.9876 × 10^9 * (76* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.851307324×10⁵⁶
80 Mercury:
F = (8.9876 × 10^9 * (78* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 3.952657517×10⁵⁶
82 Lead :
F = (8.9876 × 10^9 * (80* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((4.574866806 ×
10^55)) = 4.05400771×10⁵⁶
MAGNETIC -
SHELL # 6
SHELL DIAMETER
MAGNETIC FIELD
ELECTRICAL FORCE
ELECTRICAL
62 Samarium 7.89107219 × 10^27 4.104682805 × 10^56 3.040505782 × 10^56 1.06417702 × 10^56
64 Gadolinium 7.89107219 × 10^27 4.104682805 × 10^56 3.141855975 × 10^56 9.62826830 × 10^55
66 Dysprosium 7.89107219 × 10^27 4.104682805 × 10^56 3.243206168 × 10^56 8.61476637 × 10^55
68 Erbium
7.89107219 × 10^27 4.104682805 × 10^56 3.344556360 × 10^56 7.60126445 × 10^55
70 Ytterbium 7.89107219 × 10^27 4.104682805 × 10^56 3.445906553 × 10^56 6.58776252 × 10^55
72 Hafnium
7.89107219 × 10^27 4.104682805 × 10^56 3.547256746 × 10^56 5.57426059 × 10^55
74 Tungsten 7.89107219 × 10^27 4.104682805 × 10^56 3.648606939 × 10^56 4.56075866 × 10^55
76 Osmium
7.89107219 × 10^27 4.104682805 × 10^56 3.749957131 × 10^56 3.54725674 × 10^55
78 Platinum
7.89107219 × 10^27 4.104682805 × 10^56 3.851307324 × 10^56 2.53375481 × 10^55
80 Mercury
7.89107219 × 10^27 4.104682805 × 10^56 3.952657517 × 10^56 1.52025288 × 10^55
82 Lead
7.89107219 × 10^27 4.104682805 × 10^56 4.054007710 × 10^56 5.06750950 × 10^54
FOR THE EVEN NUMBERED ELEMENTS IN THE SIXTH SHELL, NO ELEMENT HAS A FORCE OF ELECTRICAL
REPULSION WHICH IS GREATER THAN THE MAGNETIC FIELD. CONSEQUENTLY, THERE ARE NO
RADIOACTIVE ELEMENTS WITHIN THIS SIXTH SHELL.
84 Polonium:
F = (8.9876 × 10^9 * (82* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.05291601 × 10^56
86 Radon:
F = (8.9876 × 10^9 * (84* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.127377376 × 10^56
88 Radium:
F = (8.9876 × 10^9 * (86* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.201838742 × 10^56
9O Thorium:
F = (8.9876 × 10^9 * (88* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.276300108 × 10^56
92 Uranium:
F = (8.9876 × 10^9 * (90* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.350761475 × 10^56
94 Plutonium:
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F = (8.9876 × 10^9 * (92* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.425222841 × 10^56
96 Curium:
F = (8.9876 × 10^9 * (94* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.499684207 × 10^56
98 Californium:
F = (8.9876 × 10^9 * (96* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / (6.226902041 ×
10^55) = 3.574145573 × 10^56
100 Fermium:
F = (8.9876 × 10^9 * (98* 1.13566346171621 × 10^50) * (2 * 1.13566346171621 × 10^50)) / ((6.226902041 ×
10^55)) = 3.648606939×10⁵⁶
MAGNETIC -
SHELL # 7
SHELL DIAMETER
MAGNETIC FIELD
ELECTRICAL FORCE
ELECTRICAL
7.89107219 ×
2.584873137 ×
3.052916010 ×
−4.68042873 ×
84 Polonium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.127377376 ×
−5.42504230 ×
86 Radon
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.201838742 ×
−6.16965605 ×
88 Radium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.276300108 ×
−6.91426971 ×
9O Thorium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.350761475 ×
−7.65888338 ×
92 Uranium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.425222841 ×
−8.40349704 ×
94 Plutonium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.499684207 ×
−9.14811070 ×
96 Curium
10^27
10^56
10^56
10^55
98
7.89107219 ×
2.584873137 ×
3.574145573 ×
−9.89272436 ×
Californium
10^27
10^56
10^56
10^55
7.89107219 ×
2.584873137 ×
3.648606939 ×
−1.06373380 ×
100 Fermium
10^27
10^56
10^56
10^56
FOR THESE EVEN NUMBERED ELEMENTS IN THE SEVENTH SHELL, EVERY ELEMENT HAS AN ELECTRICAL
REPULSION FORCE WHICH EXCEEDS THE MAGNETIC FIELD STRENGTH OF THE SEVENTH SHELL, AND
EVERY ELEMENT WITHIN THIS SEVENTH SHELL IS RADIOACTIVE.
NO. OF
NO. OF NO. OF NO. OF LEFTOVER
LEFTOVER
TOTAL
TOTAL
Z NAME
NEUTRONS
HE4
HE5
HE6
TRITONS DEUTERONS PARTICLES HYDROGEN
84 Polonium
9
3
1
0
0
0
4
0
86 Radon
20
0
0
5
0
0
5
0
88 Radium
22
1
0
5
0
0
6
0
9O Thorium
26
1
0
6
0
0
7
0
92 Uranium
30
1
0
7
0
0
8
0
94 Plutonium
34
1
0
8
0
0
9
0
96 Curium
35
2
1
7
0
0
10
0
98 Californium
37
3
1
7
0
0
11
0
100 Fermium
41
3
1
8
0
0
12
0
• FERMIUM - HE6 = CALIFORNIUM
• CALIFORNIUM - HE6 = CURIUM
• CURIUM + HE6 - HE5 - HE4 = PLUTONIUM
• PLUTONIUM - HE6 = URANIUM
• URANIUM - HE6 = THORIUM
• THORIUM - HE6 = RADIUM
• RADIUM - HE4 = RADON
PARTICLE RADIATION
THERE ARE TWO TYPES OF PARTICLE RADIATION:
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1. ALPHA PARTICLE RADIATION.
2. BETA PARTICLE RADIATION.
FROM THE HYPOTHETICAL DYNAMISM NUCLEAR SHELL MODEL THAT I HAVE DESCRIBED ABOVE, I SUBMIT
THAT THE ABILITY OF THE NUCLEUS TO HOLD ON TIGHTLY TO ITS POSITIVELY CHARGED PARTICLES, IS
COMPLETELY DUE TO THE COMBINED ATTRACTIVE FORCES OF THE MAGNETIC MONOPOLE, AND GRAVITY.
THE MODEL CLEARLY SHOWS THAT FOR ALL BUT ONE PARTICLE, (BISMUTH), THAT THE STRENGTH OF THE
MAGNETIC FIELD FOR SHELLS ONE THROUGH SIX IS CLEARLY STRONGER THAN THE REPULSIVE
ELECTRICAL FORCE THAT THE ALPHA PARTICLES HAVE WITHIN THE NUCLEUS. THIS MAGNETIC FIELD IS
OBVIOUSLY THE MAJOR FACTOR THAT IS HOLDING THESE POSITIVELY CHARGED ALPHA PARTICLES IN
PLACE. THE LONE EXCEPTION TO THIS, WHICH IS THE BISMUTH ELEMENT, HAS AN ELECTRICAL
REPULSION WHICH EXCEEDS THE STRENGTH OF THE MAGNETIC FIELD OF THE SIXTH SHELL, AND IS THUS
THE ONLY RADIOACTIVE PARTICLE. I SUBMIT THAT THIS LONE EXCEPTION PROVES THE RULE.
THEREFORE, WHEN THE NUCLEUS SIZE IS TOO LARGE FOR THE MAGNETIC FIELD TO KEEP THE ALPHA PARTICLES SECURELY WITHIN THE SHELL, THEN AN ALPHA PARTICLE MAY BREAK LOOSE FROM THE
OUTER SEVENTH SHELL AND, HAVING REACHED ESCAPE VELOCITY DUE TO THE WEAKENING HOLD OF THE
MAGNETIC FIELD, FLY OFF AS ALPHA PARTICLE RADIATION. IN THIS DYNAMISM MODEL FOR SHELL
STRUCTURE; NEUTRONS MAY HAVE TWO ELECTRONS AT THEIR CORE, SURROUNDED BY THREE UPQUARKS.
SIMILARLY, TRITONS HAVE TWO ELECTRONS AT THEIR CORE SURROUNDED BY THREE PROTONS. BOTH OF
THESE PARTICLES ARE CAPABLE OF EMITTING ONE OF THE ELECTRONS AT THEIR CORE BECAUSE THEIR
STRUCTURE IS INHERENTLY UNSTABLE. WHEN A NEUTRON EMITS AN ELECTRON AS BETA PARTICLE
RADIATION, IT BECOMES A PROTON. WHEN A TRITON EMITS AN ELECTRON AS BETA PARTICLE RADIATION, IT BECOMES AN HE3 ALPHA PARTICLE.
IN THE DYNAMISM MODEL, THE REASON FOR THE BETA PARTICLE RADIATION, WHICH IS THE EMISSION OF
AN ELECTRON, FROM THE NEUTRON AND FROM THE TRITON, IS DUE TO THE LACK OF ADEQUATE
AMOUNTS OF POSITIVE CHARGE IN THE PARTICLES THAT SURROUND THE ELECTRONS. IN BOTH THE
NEUTRON AND THE TRITON, THERE ARE TWO ELECTRONS AT THE CORE OF EACH PARTICLE. THE NEUTRON
AND THE TRITON HAVE TWO ELECTRONS AT THEIR CENTER, WHICH ARE SURROUNDED BY THREE
POSITIVELY CHARGED PARTICLES. IN THE NEUTRON'S CASE, THE TWO ELECTRONS ARE SURROUNDED BY
THREE UPQUARKS, WHICH EACH HAVE POSITIVE TWO-THIRDS ELECTRIAL CHARGE. IN THE TRITON'S CASE, THE TWO ELECTRONS ARE SURROUNDED BY THREE PROTONS WHICH EACH HAVE POSITIVE ONE
ELECTRICAL CHARGE. THE TOTAL POSITIVE CHARGE IS NOT ENOUGH TO ATTRACT BOTH ELECTRONS AT
THE CENTER OF EACH PARTICLE. THEREFORE, ONE OF THE ELECTRONS IS INVARIABLY EMITTED AS A BETA PARTICLE. THIS CONVERTS THE NEUTRON INTO A PROTON, AND CONVERTS THE TRITON INTO AN HE3
ALPHA PARTICLE. THE NEWLY FORMED PROTON NOW HAS JUST ONE ELECTRON AT ITS CENTER, SURROUNDED BY THREE UPQUARKS, WHICH IS AN EXTREMELY STABLE FORMATION. THE NEWLY FORMED
HE3 PARTICLE ALSO HAS AN ELECTRON AT ITS CENTER, BUT THIS ELECTRON IS SURROUNDED BY THREE
PROTONS. BUT THE HE3 PARTICLE IS AN UNBALANCED ALPHA PARTICLE, AND ITS HIGH POSITIVE CHARGE
TO MASS RATIO MEANS THAT IT WILL ATTRACT A PROTON/ELECTRON PAIR, (A NEUTRON), FROM WITHIN
THE PLASMA, TO BECOME AN HE4 ALPHA PARTICLE, WHICH IS AN EXTREMELY STABLE PARTICLE; MUCH
LIKE THE PROTON. THE HE4 HAS TWO ELECTRONS AT ITS CENTER, SURROUNDED BY FOUR PROTONS, AND
IS AN EXTREMELY BALANCED PARTICLE; WITH APPROPRIATE CHARGE TO MASS RATIO, TO KEEP THE
ELECTRONS WITHIN IT FROM BEING EJECTED.
THE EVOLUTION OF ATOMIC MATTER
BELOW IS A TABLE THAT GIVES THE FIRST TEN ELEMENTS OF THE PERIODIC TABLE AND THEIR NATURAL
ABUNDANCE IN THE EARTH'S SURFACE ENVIRONMENT.
___________________________________________________________________________________________________
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THIS IS JUST THE FIRST TEN ELEMENTS; BUT ALREADY A PATTERN IS READILY PERCEPTIBLE THAT THE
NUMBER OF NUCLEONS IN THE STABLE ISOTOPES FOR EACH ELEMENT, IS UNIQUE FOR EACH ELEMENT.
FOR EXAMPLE, HE3 HAS A SLIGHT ABUNDANCE OF 0.000137 PER CENT OF ALL STABLE HELIUM PARTICLES.
HELIUM THREE HAS THREE NUCLEONS. OBSERVE THAT FOR H3 (TRITIUM) WHICH IS THE HYDROGEN
ISOTOPE WITH THREE NUCLEONS, THAT THE ABUNDANCE IS ZERO PERCENT OF ALL STABLE HYDROGEN
PARTICLES.
THIS OCCURS AGAIN WITH N14 (NITROGEN FOURTEEN) WHICH HAS A MASSIVE ABUNDANCE OF 99.632 PER
CENT OF ALL STABLE NITROGEN PARTICLES. N14 HAS FOURTEEN NUCLEONS. OBSERVE THAT FOR C14
(CARBON FOURTEEN) WHICH IS THE CARBON ISOTOPE WITH FOURTEEN NUCLEONS, THAT THE
ABUNDANCE IS ZERO PERCENT OF ALL STABLE CARBON PARTICLES.
FURTHER OBSERVATION SHOWS THAT EVEN WHEN A NUCLEON HAS STABLE ISOTOPES IN TWO
SUCCESSIVE ELEMENTS, THAT THE OVERWHELMING PERCENTAGE IS IN ONE OF THE ELEMENTS, AND THE
OTHER ELEMENT HAS A MINISCULE PERCENTAGE OF STABLE ISOTOPES WITH THAT NUCLEON NUMBER.
THE FOLLOWING TABLE SHOWS THAT ONLY FOR THE NUCLEON NUMBER FORTY IS THERE AN ABUNDANCE
OF OVER FIFTY PER CENT FOR MORE THAN ONE ELEMENT; THE ELEMENTS BEING CALCIUM AND ARGON.
IN EVERY OTHER CASE, WHEN THE NUCLEON NUMBER HAS AN ISOTOPE IN MORE THAN ONE ELEMENT, THE ISOTOPES ARE USUALLY WELL UNDER FIFTY PER CENT ABUNDANCE.
___________________________________________________________________________________________________
Table of Isotopic Masses and Natural Abundances
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THE APPORTIONING OF NUCLEONS AMONG THE ELEMENTS
Z
NAME
SYMBOL
ATOMIC MASS
ABUNDANCE
1
Tritium
3H
3.016049
*
2
Helium
3He
3.016029
0.000137
# 3
------
---
--------
--------
6
Carbon
14C
14.003242
*
7
Nitrogen
14N
14.003074
99.632
# 14
------
---
--------
--------
16
Sulphur
36S
35.967081
0.02
18
Argon
36Ar
35.967546
0.3365
# 36
------
---
--------
--------
18
Argon
40Ar
39.962383
99.6003
19
Potassium
40K
39.963999
0.0117
20
Calcium
40Ca
39.962591
96.941
# 40
------
---
--------
--------
20
Calcium
46Ca
45.953693
0.004
22
Titanium
46Ti
45.952629
8.25
# 46
------
---
--------
--------
20
Calcium
48Ca
47.952534
0.187
22
Titanium
48Ti
47.947947
73.72
# 48
------
---
--------
--------
22
Titanium
50Ti
49.944792
5.18
23
Vanadium
50V
49.947163
0.250
24
Chromium
50Cr
49.946050
4.345
# 50
------
---
--------
--------
24
Chromium
54Cr
53.938885
2.365
26
Iron
54Fe
53.939615
5.845
# 54
------
---
--------
--------
26
Iron
58Fe
57.933280
0.282
28
Nickel
58Ni
57.935348
68.0769
# 58
------
---
--------
--------
28
Nickel
64Ni
63.927970
0.9256
30
Zinc
64Zn
63.929147
48.63
# 64
------
---
--------
--------
30
Zinc
70Zn
69.925325
0.62
32
Germanium
70Ge
69.924250
20.84
# 70
------
---
--------
--------
32
Germanium
74Ge
73.921178
36.28
34
Selenium
74Se
73.922477
0.89
# 74
------
---
--------
--------
34
Selenium
78Se
77.917310
23.77
36
Krypton
78Kr
77.920386
0.35
# 78
------
---
--------
--------
34
Selenium
80Se
79.916522
49.61
36
Krypton
80Kr
79.916378
2.28
# 80
------
---
--------
--------
36
Krypton
84Kr
83.911507
57.00
38
Strontium
84Sr
83.913425
0.56
# 84
------
---
--------
--------
36
Krypton
86Kr
85.910610
17.30
38
Strontium
86Sr
85.909262
9.86
# 86
------
---
--------
--------
40
Zirconium
92Zr
91.905040
17.15
42
Molybdenum
92Mo
91.906810
14.84
#
------
---
--------
--------
40
Zirconium
94Zr
93.906316
17.38
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42
Molybdenum
94Mo
93.905088
9.25
# 94
------
---
--------
--------
42
Molybdenum
96Mo
95.904679
16.68
44
Ruthenium
96Ru
95.907598
5.54
# 96
------
---
--------
--------
42
Molybdenum
98Mo
97.905408
24.13
43
Technetium
98Tc
97.907216
*
44
Ruthenium
98Ru
97.905287
1.87
# 98
------
---
--------
--------
42
Molybdenum
100Mo
99.907477
9.63
44
Ruthenium
100Ru
99.904220
12.60
# 100
------
---
--------
--------
44
Ruthenium
102Ru
101.904350
31.55
46
Palladium
102Pd
101.905608
1.02
# 102
------
---
--------
--------
46
Palladium
106Pd
105.903483
0.187
48
Cadmium
106Cd
105.906458
1.25
# 106
------
---
--------
--------
46
Palladium
108Pd
107.903894
27.33
48
Cadmium
108Cd
107.904183
0.89
# 108
------
---
--------
--------
46
Palladium
110Pd
109.905152
11.72
48
Cadmium
110Cd
109.903006
12.49
# 110
------
---
--------
--------
48
Cadmium
112Cd
111.902757
24.13
50
Tin
112Sn
111.904821
0.97
# 112
------
---
--------
--------
48
Cadmium
114Cd
113.903358
28.73
50
Tin
114Sn
113.902782
0.66
# 114
------
---
--------
--------
48
Cadmium
116Cd
115.904755
7.49
50
Tin
116Sn
115.901744
14.54
# 116
------
---
--------
--------
50
Tin
120Sn
119.902197
32.58
52
Tellurium
120Te
119.904020
0.09
# 120
------
---
--------
--------
50
Tin
122Sn
121.903440
4.63
52
Tellurium
122Te
121.903047
2.55
# 122
------
---
--------
--------
50
Tin
124Sn
123.905275
5.79
52
Tellurium
124Te
123.902819
4.74
54
Xenon
124Xe
123.905896
0.09
# 124
------
---
--------
--------
54
Xenon
132Xe
131.904154
26.89
56
Barium
132Ba
131.905056
0.101
# 132
------
---
--------
--------
54
Xenon
136Xe
135.907220
8.87
56
Barium
136Ba
135.904570
7.854
# 136
------
---
--------
--------
56
Barium
138Ba
137.905241
71.698
57
Lanthanum
138La
137.907107
0.090
58
Cerium
138Ce
137.905986
0.251
# 138
------
---
--------
--------
58
Cerium
142Ce
141.909240
11.114
60
Neodymium
142Nd
141.907719
27.2
# 142
------
---
--------
--------
60
Neodymium
144Nd
143.910083
23.8
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62
Samarium
144Sm
143.911995
3.07
# 144
------
---
--------
--------
60
Neodymium
148Nd
147.916889
5.7
62
Samarium
148Sm
147.914818
11.24
# 148
------
---
--------
--------
60
Neodymium
150Nd
149.920887
5.6
62
Samarium
150Sm
149.917271
7.38
# 150
------
---
--------
--------
62
Samarium
152Sm
151.919728
26.75
64
Gadolinium
152Gd
151.919788
0.20
# 152
------
---
--------
--------
62
Samarium
154Sm
153.922205
22.75
64
Gadolinium
154Gd
153.920862
2.18
# 154
------
---
--------
--------
64
Gadolinium
156Gd
155.922120
20.47
66
Dysprosium
156Dy
155.924278
0.06
# 156
------
---
--------
--------
66
Dysprosium
162Dy
161.926795
25.51
68
Erbium
162Er
161.928775
0.14
# 162
------
---
--------
--------
66
Dysprosium
164Dy
163.929171
28.18
68
Erbium
164Er
163.929197
1.61
# 164
------
---
--------
--------
68
Erbium
168Er
167.932368
26.78
70
Ytterbium
168Yb
167.933894
0.13
# 168
------
---
--------
--------
68
Erbium
170Er
169.935460
14.93
70
Ytterbium
170Yb
169.934759
3.04
# 170
------
---
--------
--------
70
Ytterbium
174Yb
173.938858
31.83
72
Hafnium
174Hf
173.940040
0.16
# 174
------
---
--------
--------
72
Hafnium
180Hf
179.946549
35.08
73
Tantalum
180Ta
179.947466
0.012
74
Tungsten
180W
179.946706
0.12
# 180
------
---
--------
--------
74
Tungsten
184W
183.950933
30.64
76
Osmium
184Os
183.952491
0.02
# 184
------
---
--------
--------
76
Osmium
190Os
189.958445
26.26
78
Platinum
190Pt
189.959930
0.014
# 190
------
---
--------
--------
76
Osmium
192Os
191.961479
40.78
78
Platinum
192Pt
191.961035
0.782
# 192
------
---
--------
--------
78
Platinum
196Pt
195.964935
25.242
80
Mercury
196Hg
195.965815
0.15
# 196
------
---
--------
--------
78
Platinum
198Pt
197.967876
7.163
80
Mercury
198Hg
197.966752
9.97
# 198
------
---
--------
--------
80
Mercury
204Hg
203.973476
6.87
82
Lead
204Pb
203.973029
1.4
# 204
------
---
--------
--------
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THE FOLLOWING TABLE SHOWS ALL THE ISOTOPES THAT ARE AT OR ABOVE FIFTY PERCENT ABUNDANCE.
IT IS CLEAR THAT ONLY 40Ar AND 40Ca BOTH HAVE OVER FIFTY PERCENT ABUNDANCE AND ALSO HAVE
THE SAME NUMBER OF NUCLEONS.
Z
NAME
SYMBOL
ATOMIC MASS
ABUNDANCE
7
Nitrogen
14N
14.003074
99.632
18
Argon
40Ar
39.962383
99.6003
20
Calcium
40Ca
39.962591
96.941
22
Titanium
48Ti
47.947947
73.72
28
Nickel
58Ni
57.935348
68.0769
34
Selenium
80Se
79.916522
49.61
36
Krypton
84Kr
83.911507
57.00
56
Barium
138Ba
137.905241
71.698
40ARGON AND 40CALCIUM ARE BOTH OVER NINETY-FIVE PERCENT ABUNDANCE. 40CALCIUM HAS TWENTY
NEUTRONS WHICH MAKES IT A MAGIC NUMBER ISOTOPE. THIS MAY PLAY A ROLE IN WHY THIS ANOMALY
OCCURS.
A NEWLY DISCOVERED HYPOTHESIS
I ORIGINALLY ASSUMED THAT THE FORMATION OF NUCLEI, WITHIN THE PLASMA, OCCURRED
SIMULTANEOUSLY WITH THE FORMATION OF THE HYDROGEN PARTICLES, THE HELIUM PARTICLES, AND
THE NUCLEAR SHELL STRUCTURE. BUT UPON CLOSER EXAMINATION OF THE DATA ABOVE, I DISCOVERED
THAT ALMOST ALL OF THE NUCLEONS ARE ASSOCIATED WITH ONLY ONE ATOMIC ELEMENT NUMBER
WITHIN THE PERIODIC TABLE. THE EXCEPTION BEING 40Ca OR THE ISOTOPE OF CALCIUM WHICH HAS
TWENTY NEUTRONS AND TWENTY PROTONS WHICH MAKES IT NUMBER TWENTY ON THE PERIODIC TABLE
OF ELEMENTS. APPARENTLY, THE FACT THAT TWENTY IS A MAGIC NUMBER IS THE REASON WHY THIS
PARTICULAR ISOTOPE OF CALCIUM IS SO STABLE. 40Ca IS DOUBLY MAGIC AS IT HAS TWENTY PROTONS
AND TWENTY NEUTRONS, WHICH ACCOUNTS FOR WHY IT HAS OVER NINETY-FIVE PERCENT ABUNDANCE
FOR ALL ISOTOPES OF CALCIUM.
CONSIDERING THAT THE MAGIC NUMBER OF TWENTY IS WHAT CAUSES 40Ca TO BE ANOMALOUS, THEN
THE REST OF THE HYPOTHESIS HOLDS TRUE. THIS HYPOTHESIS BEING THAT IF A NUCLEON NUMBER IS
SHARED BY TWO OR MORE ELEMENTS ON THE PERIODIC TABLE, THAT ONLY ONE OF THEM HAS A CHANCE
OF BEING OVER FIFTY PERCENT ABUNDANT FOR ITS PARTICULAR ELEMENT.
THIS IS ACTUALLY EXTREMELY SIGNIFICANT IN ITS IMPLICATIONS AS TO HOW THE NUCLEAR SHELL
STRUCTURE IS FORMED. IT IMPLIES THAT THERE ISN'T ANY FORMATION OF HELIUM PARTICLES, OR
NUCLEAR SHELLS WITHIN THE PLASMA.
THUS I HYPOTHESIZE AS A POSTDICTION, THAT THERE ARE NO SHELLS OF ANY KIND WITHIN NUCLEI THAT
EXIST WITHIN THE PURE PLASMA; THE PURE PLASMA BEING THE THE ORIGINAL PLASMA THAT FILLED UP
ALL THE SPACE WITHIN THE EARLY UNIVERSE THAT GOD CREATED.
WHICH DIRECTLY IMPLIES THAT THE ONLY NUCLEAR PROCESSES THAT OCCUR WITHIN THE PLASMA, ARE
FUSION PROCESSES. SIMPLY PUT, A PROTON ADDS A NEUTRON TO BECOME A DEUTERON (AN H2
HYDROGEN NUCLEUS), THEN ADDS ANOTHER NEUTRON TO BECOME A TRITON (AN H3 HYDROGEN
NUCLEUS), AND THEN ANOTHER NEUTRON IS ADDED TO MAKE IT AN H4 HYDROGEN NUCLEUS, THEN
ANOTHER NEUTRON IS ADDED TO MAKE IT AN H5 HYDROGEN NUCLEUS, ... , AND SO ON UNTILE IT
BECOME AN HN HYDROGEN NUCLEUS WHERE 'N' CAN BE OVER TWO HUNDRED AND FIFTY NUCLEONS ('N
> 250'), IN EXTREME CASES.
IMAGINE THAT! THIS IS BASICALLY A HYDROGEN ISOTOPE WITH A MASSIVE AMOUNT OF NEUTRONS
ATTACHED TO IT. THE SIGNIFICANCE OF THIS IS THE STRUCTURE OF THIS MASSIVE BLOB OF NEUTRONS; BECAUSE THE NEUTRONS ARE COMPOSED OF PROTON/ELECTRON PAIRS WITHIN THIS OVERALL
STRUCTURE. THIS IS VERY IMPORTANT TO UNDERSTAND BECAUSE THE PROTONS ARE ALL POSITIVELY
CHARGED AND ARE REPULSIVE TO EACH OTHER; AND SIMILARLY, THE ELECTRONS ARE ALL NEGATIVELY
CHARGED AND ARE REPULSIVE TO EACH OTHER; WHICH MEANS THAT SOME TYPE OF GRID STRUCTURE
HAS TO OCCUR WHERE THE PROTONS ARE ON A PROTON GRID, AND THE ELECTRONS ARE ON AN
ELECTRON GRID, AND ALL OF THIS IS OCCURRING WITHIN THE NUCLEUS.
THE PURE PLASMA THAT THIS NUCLEUS INHABITS, ALSO FEATURE A PROTON GRID STRUCTURE
OVERLAPPING AN ELECTRON GRID STRUCTURE. THE MAIN DIFFERENCE IS THE DENSITY FACTOR. THE
NUCLEUS IS MUCH DENSER THAN THE PLASMA WITHIN WHICH IT IS CONTAINED.
___________________________________________________________________________________________________
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EUROfusion
Home » What is Fusion? » Fusion vs Fission
In fission, energy is gained by splitting heavy atoms, for example uranium, into smaller atoms such as iodine, caesium, strontium, xenon and barium, to name just a few. However, fusion is combining light atoms, for example two hydrogen isotopes, deuterium and tritium, to form the heavier helium. Both reactions release energy which, in a power plant, would be used to boil water to drive a steam generator, thus producing electricity.
Fission and chain reactions
Fission is the nuclear process that is currently run in nuclear power plants. It is triggered by uranium absorbing a
neutron, which renders the nucleus unstable. The result of the instability is the nucleus breaking up, in any one of many different ways, and producing more neutrons, which in turn hit more uranium atoms and make them unstable and so on. This chain reaction is the key to fission reactions, but it can lead to a runaway process resulting in nuclear accidents. In conventional nuclear power stations today, there are systems in place to moderate the chain reactions to prevent accident scenarios and stringent security measures to deal with proliferation issues.
Fusion: inherently safe but challenging
Unlike nuclear fission, the nuclear fusion reaction in a tokamak is an inherently safe reaction. The reasons that have made fusion so difficult to achieve to date are the same ones that make it safe: it is a finely balanced reaction which
fuel or not enough, or too many contaminants, or if the magnetic fields are not set up just right to control the
turbulence of the hot plasma. This is why fusion is still in the research and development phase – and fission is already making electricity.
Left: fusion, when light atoms fuse and release energy. Right: fission, when heavy atoms split and release energy.
Binding energy
The key to why some atoms split and release energy while others fuse to do the same lies in how tightly the protons and neutrons are held together. If a nuclear reaction produces nuclei that are more tightly bound than the originals then energy will be produced by fusion, and for fission the opposite is true.
It turns out that the most tightly bound atomic nuclei are around the size of iron, which has 26 protons in the nucleus. So, one can release energy either by splitting very large nuclei, like uranium with 92 protons, to get
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Smaller nuclei fuse and release energy until at iron no more energy is released by fusion.
https://euro-fusion.org/fusion/fusion-vs-fission/
___________________________________________________________________________________________________
THE FORMATION OF THE SHELL STRUCTURE
THE MAGNETIC FIELD WITHIN A PLASMA IS WEAKENED BY THE FUSION PROCESSES THAT GO ON WITHIN
THE PLASMA. FUSION ONLY TAKES PLACE WITHIN THE STATIC PLASMA THAT FEATURES A STATIONARY
ELECTRON GRID OVERLAPPING WITH A STATIONARY PROTON GRID. IT IS WITHIN THESE STATIONARY GRIDS
THAT THESE MASSIVE HYDROGEN ISOTOPES DEVELOP OVER TIME. AS HAS BEEN EXPLAINED ABOVE, THESE HYDROGEN ISOTOPES HAVE A GRID-LIKE STRUCTURE FOR BOTH THE PROTONS AND THE
ELECTRONS AS WELL. BUT AS MORE FUSION TAKES PLACE, THESE NUCLEI CONTINUE TO GROW WITHIN
THE PLASMA, AND THE PLASMA LOSES BOTH ELECTRONS AND PROTONS AS THEY ARE SWALLOWED UP BY
THE GROWING NUCLEI. THE MORE FUSION, THE LESS OVERALL CHARGE WITHIN THE PLASMA, AND THE
WEAKER THE MAGNETIC FIELD GETS; BECAUSE THE MAGNETIC FIELD IS GENERATED BY MOVING
ELECTRICAL CHARGES. THERE ARE TWO FORCES AT WORK WITHIN THE PLASMA, AND THESE FORCES ARE
OPPOSED TO EACH OTHER. THE MAGNETIC FIELD GENERATED BY THE SPINNING ELECTRICAL CHARGES
WITHIN THE PLASMA, LOCKS THE PROTONS AND ELECTRONS INTO PLACE WITHIN THE GRID STRUCTURE, AND HAS THE OVERALL EFFECT OF FIGHTING OFF THE FORCE OF GRAVITY; WHICH SEEKS TO MAKE THE
PLASMA CONTRACT INTO A DENSER OBJECT.
THEREFORE, WHEN ENOUGH FUSION HAS OCCURRED, THIS IS PRECISELY WHAT HAPPENS; THE MAGNETIC
FIELD WEAKENS ENOUGH AGAINST GRAVITY THAT THE GRAVITATIONAL FORCE CAUSES THE PLASMA TO
COLLAPSE INTO A VERY DENSE BALL. THIS GRAVITATIONAL COLLAPSE OF THE PLASMA RESULTS IN A QUASAR, WHICH IS THE BIRTH OF A SUPERMASSIVE BLACK HOLE, WHICH IS THE CENTER OF A NEWLY
BORN SPHERICAL GALAXY. THE DYNAMISM MODEL POSTDICTS THAT GALAXIES ARE BORN OUT OF THE
ORIGINAL PLASMA THAT COMPRISED THE UNIVERSAL MATTER, IN PRECISELY THIS WAY, FOR EVERY
GALAXY THAT HAS EVER BEEN CREATED, AND PREDICTS THAT IT WILL DO SO FOR EVERY FUTURE GALAXY
THAT WILL EVER BE CREATED.
THIS QUITE LITERALLY MEANS THAT THE FUSION PROCESS IS HOW THE ORIGINAL PLASMA THAT HAS
EXISTED SINCE GOD'S CREATION OF THE UNIVERSE, IS PHYSICALLY EVOLVED INTO THE UNIVERSE THAT IS
REPLETE WITH GALAXIES THAT WE SEE TODAY. THUS DYNAMISM HYPOTHESIZES THAT THE ORIGINAL
PLASMA, WHICH IS DARK MATTER, BECAUSE IT DOES NOT HAVE ANY SHELL STRUCTURE, NUCLEAR OR
ELECTRON; AND IS THEREFORE NOT ATOMIC MATTER, IS TRANSFORMED INTO ATOMIC MATTER THROUGH
THE FUSION PROCESS; WHICH IS PRIMARILY RESPONSIBLE FOR THE CREATION OF GALAXIES AND SOLAR
SYSTEMS WHICH ARE PRIMARILY ATOMIC MATTER BECAUSE THE SUBSTANCE OF THESE SOLAR SYSTEMS
DOES HAVE NUCLEAR AND ELECTRON SHELL STRUCTURES, WHICH IS WHAT MAKES LIFE POSSIBLE.
DURING THE EXOTHERMIC PROCESS WHICH CREATES THE GALAXIES AND THE SOLAR SYSTEMS, THE
NUCLEAR AND ELECTRON SHELLS ARE CREATED AS THE NUCLEI ARE CONVERTED FROM A VERY DENSE
NUCLEUS, DUE TO THE PRESENCE OF THE POWERFUL MAGNETIC FIELDS WITHIN THE PLASMA, TO A MUCH MORE EXPANSIVE NUCLEUS, DUE TO THE WEAKENING OF THE MAGNETIC FIELD WITHIN WHICH
THE NUCLEUS EXISTS.
THIS TABLE FEATURES THE ATOMS WHICH HAVE JUST ONE STABLE ISOTOPE, OR ONE HUNDRED PERCENT
ABUNDANCE.
Z NAME
SYMBOL
ATOMIC MASS
ABUNDANCE
4 Beryllium
9 Be
9.012182
100
9 Fluorine
19 F
18.998403
100
11 Sodium
23 Na
22.989770
100
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13 Aluminum
27 Al
26.981538
100
15 Phosphorus
31 P
30.973762
100
21 Scandium
45 Sc
44.955910
100
25 Manganese
55 Mn
54.938050
100
27 Cobalt
59 Co
58.933200
100
33 Arsenic
75 As
74.921596
100
39 Yttrium
89 Y
88.905848
100
41 Niobium
93 Nb
92.906378
100
45 Rhodium
103 Rh
102.905504
100
53 Iodine
127 I
126.904468
100
55 Cesium
133 Cs
132.905447
100
59 Praseodymium
141 Pr
140.907648
100
65 Terbium
159 Tb
158.925343
100
67 Holmium
165 Ho
164.930319
100
69 Thulium
169 Tm
168.934211
100
79 Gold
197 Au
196.966552
100
83 Bismuth
209 Bi
208.980383
100
9O Thorium
232 Th
232.038050
100
91 Protactinium
231 Pa
231.035879
100
NOTE THE NUCLEON NUMBERS: 9, 19, 23, 27, 31, 45, 55, 59, 75, 89, 93, 103, 127, 133, 141, 159, 165, 169, 197, 209, 232, 231. THE HYDROGEN ISOTOPES THAT HAVE THESE NUCLEON NUMBERS WHEN THE EXOTHERMIC
REACTION OF GRAVITATIONAL COLLAPSE BEGINS, ARE HYPOTHESIZED, IN THE DYNAMISM MODEL, TO
CONVERT DIRECTLY INTO THE ISOTOPE FOR THE ELEMENTS IN THE ABOVE TABLE, WITH THEIR
ATTENDANT NUCLEAR AND ELECTRON SHELLS. NOTE THAT MOST OF THE ABOVE ISOTOPES ARE ODD
NUMBERED WHICH MEANS THAT THESE ODD NUMBERED ONES WOULD HAVE AT LEAST ONE HYDROGEN
PARTICLE, EITHER A DEUTERIUM OR A TRITIUM PARTICLE AS PART OF THE NUCLEUS. BERYLLIUM AND
THORIUM ARE THE EVEN NUMBERED ELEMENTS.
IN REFERENCE TO THE TABLE WHICH IS TITLED "THE APPORTIONING OF NUCLEONS AMONG THE
ELEMENTS" NOTE THAT EXCEPT FOR TRITIUM WHICH HAS THREE NUCLEONS AS DOES HELIUM THREE
(HE3), ALL OF THE REST OF THE NUCLEONS THAT ARE SPREAD OVER MORE THAN ONE ATOMIC ELEMENT
ARE EVEN NUMBERED. WHAT COULD POSSIBLE ACCOUNT FOR THIS DIFFERENCE BETWEEN ODD
NUMBERED NUCLEONS HAVING ONE HUNDRED PERCENT ABUNDANCE FOR A PARTICULAR ATOMIC
ELEMENT, AND EVEN NUMBERED NUCLEONS BEING SPREAD OUT OVER MULITIPLE ATOMIC ELEMENTS?
THERE ARE SOME ODD NUMBERED ELEMENTS THAT SHARE A NUCLEON NUMBER WITH OTHER
ELEMENTS, BUT THE OTHER ELEMENTS ARE ALWAYS EVEN NUMBERED ELEMENTS. SO THESE ODD
NUMBERED ELEMENTS ARE ALWAYS IN THE MIDDLE OF A GROUP OF THREE ELEMENTS; SANDWICHED
BETWEEN TWO EVEN NUMBERED ELEMENTS. THESE ISOTOPES ARE:
1. 19 Potassium 40K 0.0117
2. 23 Vanadium 50V 0.250
3. 43 Technetium 98Tc *
4. 57 Lanthanum 138La 0.090
5. 73 Tantalum 180Ta 0.012
ALSO NOTEWORTHY IS THAT THEIR ABUNDANCE IS ALWAYS LESS THAN, OR EQUAL TO, ONE QUARTER OF A PERCENTAGE POINT.
SINCE THE PERCENTAGE OF ABUNDANCE FOR THESE ANOMALOUS ODD NUMBERED ELEMENTS ARE SO
INSIGNIFICANTLY SMALL, WHY EVEN BOTHER TO POINT IT OUT?
I BELIEVE THAT IN THESE CASES, IT IS THE EXCEPTIONS THAT PROVE THE RULE. FOR INSTANCE, WHAT
WOULD HAPPEN IF I SIMPLY DISCARDED THESE ANOMALOUS RESULTS AS INSIGNIFICANT. LET'S SAY THAT
I JUST IGNORED THEM AS IF THEY WEREN'T THERE. THEN THE OVERWHELMING EVIDENCE WOULD
SUPPORT THE IDEA THAT THE DISTRIUBUTION OF EVEN NUMBERED NUCLEONS WOULD BE ENTIRELY
AMONGST THE EVEN NUMBERED ELEMENTS. SO WHAT IS THE SIGNIFICANCE OF THAT CONCLUSION?
TAKING INTO ACCOUNT THAT ODD NUMBERED ELEMENTS HAVE TO HAVE A HYDROGEN PARTICLE INSIDE
THE SHELL SOMEWHERE, EITHER A DEUTERON OR A TRITON, AND EVEN NUMBERED ELEMENTS ARE
ABSENT ANY HYDROGEN PARTICLES; THEN THE CONCLUSION ABOVE WOULD IMPLY THAT THE PRESENCE
OF THE HYDROGEN PARTICLES IS EXTREMELY IMPORTANT, NOT ONLY TO THE FORMATION OF THE SHELLS, BUT ALSO TO THE STABILITY OF THE ISOTOPES THAT ARE FORMED FROM THESE SHELLS.
OUT OF FORTY-NINE POSSIBLE HYDROGEN PARTICLES ONLY THESE FOUR ELEMENT HAVE A DEUTERON IN
THEIR OUTER SHELL:
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1. 7 Nitrogen
2. 43 Technetium
3. 85 Astatine
4. 99 Einsteinium
THE OTHER FORTY-FIVE ODD NUMBERED ELEMENTS ALL HAVE A TRITON IN THEIR OUTER SHELL.
EVERY ONE OF THE TWENTY ODD NUMBERED ELEMENTS THAT HAVE ONE HUNDRED PERCENT
ABUNDANCE HAS A TRITON HYDROGEN PARTICLE IN ITS OUTER SHELL. THIS IMPLIES THAT THERE IS
SOMETHING ABOUT HAVING A TRITON PARTICLE IN ITS OUTER SHELL, COMBINED WITH HAVING AN ODD
NUMBER OF NUCLEONS, THAT LENDS ITSELF TO THAT ISOTOPE OF THAT ELEMENT BEING EXTREMELY
STABLE.
BY THE WAY, THE FOUR ODD NUMBERED ELEMENTS IN THE ABOVE LIST, WHICH ALL HAVE DEUTERONS IN
THEIR OUTER SHELL, ARE NOT ONE HUNDRED PERCENT ABUNDANCE.
ONE HUNDRED PERCENT ABUNDANCE FOR ANY ISOTOPE OF AN ELEMENT IMPLIES THAT THE OTHER
ISOTOPES FOR THAT ELEMENT ARE ALL RELATIVELY UNSTABLE. EXCEPT FOR BERYLLIUM AND THORIUM, WHICH ARE EVEN NUMBERED ELEMENTS AND DON'T HAVE A HYDROGEN PARTICLE IN ITS SHELL, ALL THE
OTHER ONE HUNDRED PERCENT ABUNDANCE ELEMENTS ARE ODD NUMBERED AND HAVE A TRITIUM
PARTICLE IN ITS OUTER SHELL. IT IS ALSO REMARKABLE THAT THESE TWENTY ODD NUMBERED ELEMENTS
HAVE EXCLUSIVE ASSOCIATION WITH THEIR RESPECTIVE NUCLEON NUMBER ISOTOPE. THIS MEANS THAT
EVERY NUCLEUS WITH THAT PARTICULAR NUCLEON WILL FORM A SHELL STRUCTURE THAT HAS ONLY
THAT ISOTOPE NUMBER, AND NO OTHER.
THUS I HYPOTHESIZE THAT THE TRITIUM HYDROGEN PARTICLE MAY HAVE A ROLE WITHIN THE OUTER
SHELL OF THESE ODD NUMBERED ELEMENTS, OF A SHEPHERD PARTICLE. THAT SOMEHOW, THE
PRESENCE OF THE SMALLER TRITIUM PARTICLE KEEPS THE LARGER HELIUM PARTICLES IN CHECK; SUCH
THAT WHEN THE NUCLEAR SHELL IS BEING FORMED FOR ODD NUMBERED ELEMENTS, THAT THE
PRESENCE OF TRITIUM WILL ACT TO STABILIZE AND CONCENTRATE THE ODD NUMBERED NUCLEONS AND, WHENEVER POSSIBLE, MAKE THE ODD NUMBERED NUCLEON EXCLUSIVE TO THE ODD NUMBERED
ELEMENT SUCH THAT IT HAS ONE HUNDRED PERCENT ABUNDANCE FOR THAT PARICULAR ISOTOPE. MIND
YOU, THIS IS MERELY A HYPOTHESIS; AN EDUCATED GUESS, AND THERE IS A HIGH PROBABILITY THAT IT IS
WRONG TO SOME EXTENT.
BUT WHAT I MEAN WHEN I SAY "STABILIZE AND CONCENTRATE' IS THAT THE TRITIUM HYDROGEN
PARTICLE, SOMEHOW PREVENTS BETA DECAY FROM HAPPENNING IN THE ODD NUMBERED ELEMENTS.
THIS WOULD EXPLAIN THE EXCLUSIVITY OF THOSE PARTICULAR NUCLEONS FOR THOSE PARTICULAR
ELEMENTS. IN THE ABSENCE OF THE HYDROGEN PARTICLES IN THE OUTER SHELL, THE EVEN NUMBERED
NUCLEONS ARE EXPERIENCING BETA DECAY AFTER THE SHELL HAS BEEN FORMED, AND THIS GIVES RISE
TO THE SAME NUCLEON BEING SHARED AMONGST MULTIPLE EVEN NUMBERED ELEMENTS. FOR
INSTANCE, TAKE A LOOK AT THIS TABLE:
Z
NAME
SYMBOL
ATOMIC MASS
ABUNDANCE
72
Hafnium
180Hf
179.946549
35.08
73
Tantalum
180Ta
179.947466
0.012
74
Tungsten
180W
179.946706
0.12
# 180
------
---
--------
--------
THE HYPOTHESIS IS THAT THE ORIGINAL SHELL FORMATION WAS ENTIRELY HAFNIUM WHICH IS AN EVEN
NUMBERED ELEMENT. HOWEVER, IN THE ABSENCE OF THE SHEPHERDING PARTICLE TRITIUM, 180Hf WILL
TEND TO BETA DECAY TO 180Ta, WHICH IS A TANTALUM ISOTOPE; BUT IT IS UNSTABLE BECAUSE THAT
PARTICULAR ISOTOPE WAS NOT ORIGINALLY CREATED BUT WAS ARRIVED AT THROUGH BETA DECAY. BUT
DUE TO ITS INSTABILITY, IT WILL FURTHER BETA DECAY TO 180W, WHICH IS TUNGSTEN ISOTOPE. THIS
TUNGSTEN ISOTOPE IS ALSO UNSTABLE FOR THE SAME REASON.
I HYPOTHESIZE THAT ALL OF THE OTHER INSTANCES OF THE SAME NUCLEON BEING DISTRIBUTE
AMONGST TWO OR MORE ELEMENTS IS DUE TO THE SAME REASON. THAT THE LOWER ONE IS ANALOGOUS
TO 180Hf, AND THE HIGHER ONES ARE DUE TO BETA DECAY. THIS IMPLIES THAT ALL OF THE NUCLEONS
WERE TURNED INTO JUST ONE ISOTOPE OF ONE ELEMENT IN AN EXCLUSIVE MANNER, WHEN THE
NUCLEAR SHELL WAS FIRST FORMED. BUT THEN THROUGH THE PROCESS OF BETA DECAY, THE OTHER
ISOTOPES OF THE OTHER ELEMENTS CAME TO SHARE THE SAME NUCLEON NUMBER. HOWEVER WHEN
THE TRITIUM PARTICLE IS PRESENT, THE BETA DECAY IS SOMEHOW HALTED BECAUSE IT PLAYS THE ROLE
OF A SHEPHERD PARTICLE, WHICH IS WHY THOSE PARTICULAR ODD NUMBERED ELEMENTS HAVE ONE
HUNDRED PERCENT ABUNDANCE WHEN THEY HAVE A TRITIUM PARTICLE IN THEIR OUTER SHELL.
THUS THE HYPOTHESIS IMPLIES THAT ALL OF THE ISOTOPES THAT HAVE THE SAME NUCLEON NUMBER
ARE INDEED CONNECTED THROUGH BETA DECAY. FROM THE ABOVE TABLES, IT IS CLEAR THAT NONE OF
THE ODD NUMBERED ELEMENTS ARE CONNECTED TO EACH OTHER BY BETA DECAY. THUS ALL OF THE
BETA DECAY CONNECTED ELEMENTS ARE PRIMARILY EVEN NUMBERED ELEMENTS WITH SOME ODD
NUMBERED ELEMENT SANDWICHED BETWEEN THEM OCCASIONALLY.
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FISSION DOESN'T OCCUR UNTIL THE NUCLEAR SHELL HAS BEEN FORMED. ACCORDING TO THE DYNAMISM
MODEL, THE ONLY NUCLEAR PROCESS THAT OCCURS WITHIN THE ORIGINAL PLASMA ARE FUSION
REACTIONS WHICH CAN BUILD UP NUCLEI UP TO TWO HUNDRED AND FIFTY NUCLEONS IN EXTREME
CASES. THESE NUCLEI THAT EXIST WITHIN THE PLASMA ARE EXTREMELY DENSE AND REMAIN SO UNTIL
THE TRANSFORMATION INTO NUCLEAR SHELLS OCCUR. THIS TRANSFORMATION ONLY OCCURS AFTER
THE MAGNETIC FIELD HAS WEAKENED ENOUGH TO ALLOW IT. ONCE THE NUCLEAR SHELL HAS FORMED
THEN FISSION BECOMES POSSIBLE. EVERY FORM OF PARTICLE RADIATION IS A FISSION REACTION. ALPHA RADIATION, BETA RADIATON AND NEUTRON RADIATION ARE ALL NUCLEAR FISSION REACTIONS, ACCORDING TO THE DYNAMISM MODEL.
BETA PARTICLE RADIATION IS A NATURAL NUCLEAR FISSION REACTION THAT LEAVES THE TOTAL
NUCLEON NUMBER UNCHANGED BUT WHICH CHANGES THE ELEMENT NUMBER OF THE ATOMIC
NUCLEUS. THE ELEMENT NUMBER RISES BY ONE, WHICH MEANS THAT IF THE ELEMENT WAS EVEN
NUMBERED, IT WILL BE RAISED BY ONE TO BECOME ODD NUMBERED; AND CONVERSELY, IF THE ELEMENT
WAS ODD NUMBERED, IT WOULD BE RAISED BY ONE TO BECOME AN EVEN NUMBERED ELEMENT.
ASSUMING THAT THE NUCLEAR SHELLS ONLY CONTAIN HYDROGEN AND HELIUM PARTICLES, THEN THE
SHELL FROM WHICH THE BETA DECAY OCCURRED (THE OUTER MOST SHELL) WILL HAVE TO UNDERGO A TRANSFORMATION OF SOME TYPE TO RENORMALIZE.
THE CALCULATION PROCESS FOR THE NEW STRUCTURE OF THE OUTER SHELL IS TO: 1. FIRST FIND THE TOTAL NUMBER OF PROTONS AND NEUTRONS IN THE SHELL.
2. CONVERT THESE TO TRITONS AND DEUTERONS AS ALREADY EXPLAINED ABOVE.
3. CONVERT THESE TO HE4, HE5, AND HE6 ALPHA PARTICLES, WITH WHATEVER DEUTERONS OR TRITONS
THAT ARE LEFT OVER AS EXPLAINED ABOVE.
4. COMBINE THIS SHELL INFORMATION WITH THE INNER SHELL DATA TO ARRIVE AT THE NEWLY
COMPLETED SHELL STRUCTURE.
THIS ENTIRE RENORMALIZING PROCESS IS DONE AUTOMATICALLY WITHIN THE OUTER SHELL, EVERY
TIME BETA DECAY OCCURS. THE IMPORTANT POINT TO MAKE IS THAT NUCLEAR FISSION ONLY OCCURS IN
ATOMIC MATTER WHICH IS TECHNICALLY CALLED 'BARYONIC' MATTER. THIS ATOMIC MATTER EXISTS
WITHIN A MUCH WEAKER MAGNETIC FIELD THAN WHICH EXISTED IN THE PLASMA MATTER. BECAUSE OF
THE MUCH WEAKER FIELD THE ATOMIC NUCLEI ARE FAR LESS DENSE AND THIS ALLOWS BOTH NUCLEAR
AND ELECTRON SHELLS TO FORM. WITHIN THE NUCLEAR SHELL, ALPHA PARTICLE DECAY, BETA PARTICLE
DECAY, AND PERHAPS EVEN NEUTRON PARTICLE DECAY BECOMES POSSIBLE.
THE ARRANGEMENT OF ELECTRONS
THE POSITIVIVELY CHARGED PARTICLE'S ORBITAL PATHS WITHIN THEIR RESPECTIVE SHELLS, IS IN
ALIGNMENT WITH THE MAGNETIC FIELD. I POSTULATE THAT THIS SAME MAGNETIC FIELD WHICH
GOVERNS THE ORIBTAL PATHS OF THE PARTICLES WITHIN THE NUCLEUS IS EXTENDED BEYOND THE
NUCLEUS TO THE ELECTRONS IN THE OUTER SHELL, AND GOVERNS THE ORBITAL PATHS OF THESE
ELECTRONS AS WELL. THE MAGNETIC FIELD ALSO SERVES THE PURPOSE OF PREVENTING THE
NEGATIVELY CHARGED ELECTRONS FROM APPROACHING THE POSITIVELY CHARGED NUCLEUS, BECAUSE
ELECTRICALLY CHARGED PARTICLES HAVE GREAT DIFFICULTY PASSING ACROSS MAGNETIC FIELD LINES
OF FORCE.
AS PER THIS DYNAMISM MODEL, THE INITIAL PLASMA THAT WAS FORMED FROM THE VOID AT THE BIRTH
OF THE UNIVERSE, CONSISTED OF JUST PROTONS AND ELECTRONS. BUT THE REASON WHY THE PLASMA IS NOT ATOMIC MATTER IS BECAUSE THE ELECTRONS WITHIN THE PLASMA WERE NOT ORBITING THE
PROTONS AS THEY WOULD IN ATOMIC MATTER, BUT INSTEAD THE ELECTRONS WERE FIXED IN PLACE
EQUIDISTANT FROM ONE ANOTHER, AS THERE WERE NO ELECTRON SHELLS FOR THEM TO ORBIT AROUND
THE PROTONS.
THIS IS THE PUREST TYPE OF PLASMA BECAUSE OF THE POWERFUL EXTERNAL MAGNETIC FIELDS WHICH
SURROUND THE PROTONS. THE ELECTRONS DO NOT ORBIT THE PROTONS, BUT INSTEAD ARE FIXED INTO
PLACE EQUIDISTANT FROM ONE ANOTHER. IT IS THE ABSENCE OF THIS POWERFUL EXTERNAL MAGNETIC
FIELD WHICH MAKES THE ELECTRON SHELL WHICH SURROUNDS THE NUCLEUS POSSIBLE.
___________________________________________________________________________________________________
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https://chem.libretexts.org/Courses/University_of_Illinois_Springfield /
CHE_124%3A_General_Chemistry_for_the_Health_Professions_(Morsch_and_Andrews)
/02%3A_Elements%2C_Atoms%2C_and_the_Periodic_Table/2.6%3A_Arrangements_of_Electrons ___________________________________________________________________________________________________
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THE ARTICLE SEGMENT ABOVE STATES THAT 'THE MODERN THEORY OF ELECTRON BEHAVIOR IS CALLED
QUANTUM MECHANICS.'
THIS MEANS THAT THE ELECTRON SUBSHELL CONFIGURATIONS OF 'S, P, D AND F'; ARE ALL DERIVED
FROM QUANTUM MECHANICS. IN OTHER WORDS, IT IS ALL THEORETICAL.
___________________________________________________________________________________________________
https://byjus.com/physics/quantum-mechanics/
___________________________________________________________________________________________________
THIS CALCULATIONS FOR THE ELECTRON SUBSHELL CONFIGURATIONS OF 'S, P, D AND F'; ARE ALL
DERIVED FROM QUANTUM MECHANICS EQUATIONS SIMILAR TO THOSE ABOVE. IN OTHER WORDS, IT IS
ALL THEORETICAL; AND FOR THE MOST PART, IN MY OPINION, UNPROVEN.
MY MAIN REASON FOR BUILDING THIS DYNAMISM MODEL OF THE SUBATOMIC WORLD IS TO PROVIDE AN
ALTERNATIVE TO THE THEORY WHICH MAINTAINS THAT A SO-CALLED 'STRONG FORCE' WHICH IS CARRIED
BY A 'GLUON' IS THE REASON WHY THE POSITIVELY CHARGED PARTICLES (WITHIN A PROTON, THE
POSITIVELY CHARGED UPQUARKS), (WITHIN THE NUCLEUS, THE POSITIVELY CHARGED PROTONS); ARE
HELD WITHIN THE NUCLEUS DESPITE ALL OF THEIR REPULSION TO EACH OTHER. THE FORCE OF THE
MAGNETIC MONOPOLE CREATED BY A SINGLE POINT SOURCE OF ELECTRICAL CHARGE, RAPIDLY
ROTATING, IS THE WHAT I SUBMIT AS THE REAL REASON WHY THE NUCLEUS DOESN'T DISINTEGRATED
DUE TO ALL OF THOSE POSITIVELY CHARGED PARTICLES REPELLING EACH OTHER.
BECAUSE THE MAGNETIC MONOPOLE OBEYS THE INVERSE CUBE LAW, THE STRENGTH OF ITS MAGNETIC
FIELD RAPIDLY DECLINES WITH DISTANCE FROM THE SOURCE OF THE FIELD. I SUBMIT THAT IT IS THIS
RAPID DECLINE THAT IS THE REAL REASON FOR ALPHA PARTICLE RADIATION FROM THE SEVENTH SHELL
OF THE LARGER NUCLEI. AT THE POINT WHERE THE REPULSIVE FORCES OF THE POSITIVELY CHARGED
PARTICLES, IS GREATER THAN THE STRENGTH OF THE MAGNETIC FIELD, WHICH OCCURS WITHIN THE
SEVENTH SHELL, THIS IS WHERE THE NUCLEUS BREAKS DOWN AND ALPHA PARTICLE RADIATION OCCURS.
THE FOLLOWING ARTICLE IS A BRIEF SUMMARY OF THE QUANTUM THEORY EXPLANATION OF ALPHA PARTICLE DECAY.
___________________________________________________________________________________________________
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https://www.sciencedirect.com/topics/earth-and-planetary-sciences/alpha-decay ___________________________________________________________________________________________________
"The maximum potential energy of the barrier can be calculated as 30MeV but alpha particles with energy of 4.18
MeV are emitted from 238U by tunnelling as illustrated by Fig. 2.3. This cannot be explained by classical physics."
PERHAPS NO ONE WITHIN CLASSICAL PHYSICS IS GOING TO TRY TO EXPLAIN 'TUNNELLING' WITH
CLASSICAL PHYSICS BECAUSE THAT WOULD BE RUBBING TOO MANY PEOPLE IN THE QUANTUM
THEORETICAL FIELDS THE WRONG WAY! WE LIVE IN A THEORETICAL AGE WHERE THEORIES THAT CAN GET
FUNDING FROM DEEP POCKETED PEOPLE ARE ALL THAT MATTER. A CLASSICAL EXPLANATION THAT
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DIRECTLY OPPOSES SOME WELL ACCEPTED THEORY IS CAREER SUICIDE FOR A PHYSICIST.
THE DYNAMISM MODEL FOR THE ARRANGEMENT OF ELECTRONS IS IS BASED ON THE NOTION OF
MAGNETIC LINES OF FORCE THAT ARE GENERATED BY A MONOPOLE MAGNETIC SOURCE. THE
MONOPOLAR MAGNETIC FIELDS ARE THEMSELVES GENERATED BY THE MOVEMENT OF THE POSITIVELY
CHARGED NUCLEUS, AND OBEYS THE INVERSE CUBE LAW.
THE IMPORTANCE OF THE INVERSE CUBE LAW TO THE MAGNETIC FIELDS CAN NOT BE OVERSTATED. ALL
OF THE POSITIVELY CHARGED SUBATOMIC PARTICLES ARE INFLUENCED BY THIS FIELD. THE MAGNETIC
LINES OF FORCE ARE MOST DENSELY PACKED AT THE CENTER OF THE NUCLEUS AND THEN START TO
THIN OUT AS THE DISTANCE FROM THE CENTER INCREASES. THE ALPHA PARTICLES WITHIN THE
NUCLEUS ARE AFFECTED BY THE MAGNETIC FIELD, AS ARE THE ELECTRONS IN THE SHELL. BUT THE
ELECTRONS ARE MUCH FARTHER AWAY FROM THE CENTER OF THE NUCLEUS THAN THE ALPHA PARTICLES
WITHIN THE NUCLEUS. THIS MEANS THAT THE FURTHER AWAY FROM THE NUCLEUS THAT AN ELECTRON
IS, THE LESS RESTRAINT THAT THE MAGNETIC FIELD EMANATING FROM THE NUCLEUS HAS ON IT. THIS
MEANS THAT THE ELECTRONS HAVE MORE AND MORE FREEDOM OF MOVEMENT AS THEY ORBIT FARTHER
AND FARTHER AWAY FROM THE NUCLEUS. THIS IS ALSO WHY THE ELECTRONS AT THE OUTER SHELLS OF
THE ATOMS ARE FAR MORE ENERGETIC THAN THE ELECTRONS CLOSER TO THE NUCLEUS IN THE INNER
SHELLS.
NEWTONIAN PHYSICS VS LEIBNIZIAN MATHEMATICS
THE NAVIER STOKES MILLENNIUM PROBLEM REQUIRES THAT THE READER HAVE A MINIMUM AMOUNT OF
CALCULUS KNOWLEDGE. CALCULUS IS THE MATHEMATICS OF MOTION. THE WAY THAT NEWTON
ORIGINALLY DESCRIBED IT, ALL OF HIS CALCULUS FUNCTONS WERE BASED ON TIME AS THE
INDEPENDENT VARIABLE. BUT THE WAY THAT CALCULUS WAS DEVELOPED OVER THE CENTURIES, WAS
BASED ON LEIBNIZ'S VIEW THAT THE INDEPENDANT VARIABLE WOULD BE A SPATIAL VARIABLE 'X'.
SO IN NEWTON'S CALCULUS; 'X' IS A SPATIAL DIRECTION AND 'T' IS A TEMPORAL DIMENSION. THIS WOULD
BE STATED TODAY AS A FUNCTION WHERE THE SPATIAL COORDINATE OF 'X', WHICH IS THE DEPENDANT
VARIABLE; WOULD BE BASED ON WHERE IT WAS AT TIME 'T', WHICH IS THE INDEPENDANT VARIABLE.
THIS GIVE US THE FUNCTION:
'X(T)'
EXAMPLE:
X = T^2 + T
SO A SIMPLE DIAGONAL LINE IN NEWTON'S CALCULUS IS:
X = T
LEIBNIZ HAS A DIFFERENT NOMENCLATURE. IN THE CALCULUS OF LEIBNIZ, THE INDEPENDANT VARIABLE
IS 'X' AND THE DEPENDANT VARIABLE IS 'Y'. NOTE THAT THESE ARE BOTH SPATIAL DIMENSIONS. THUS
LEIBNIZ DISREGARDED THE TEMPORAL DIRECTION OF TIME 'T'. THIS GIVE US THE FUNCTION:
'Y(X)'
EXAMPLE:
Y = X^2 + X
SO A SIMPLE DIAGONAL LINE IN LEIBNIZ'S CALCULUS IS:
Y = X
YOU MAY BE FAMILIAR WITH THE SIMPLE EQUATION 'Y = X'.
A TYPICAL STRAIGHT LINE IS WRITTEN AS A FUNCTION:
F(X) = X
WHICH IS THE SAME AS:
Y = X
IN MATHEMATICS ALL LINES HAVE A SLOPE AND AN X-INTERCEPT:
Y = MX + B
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WHEN 'M = 1' AND 'B = 0'
Y = 1X + 0
Y = X
F(X) = X
FOR ANY STRAIGHT LINE (OTHER THAN A VERTICAL LINE) THE 'M' COEFFICIENT IS THE SLOPE OF THE
LINE AND IS ALSO THE DERIVATIVE. THE TECHNICAL DEFINITION OF 'THE DERIVATIVE' IS THE SLOPE OF
THE GRAPH AT ANY PARTICULAR POINT. BUT FOR A GRAPH THAT IS JUST A NONVERTICAL STRAIGHT LINE, THE SLOPE IS THE SAME AT EVERY POINT AND IS EQUAL TO 'M'.
THE FIRST FOUR EXPONENTS ARE:
1. X^0 = 1; CONSTANT FUNCTION.
2. X^1 = X; LINE FUNCTION.
3. X^2 = X^2; QUADRATIC FUNCTION.
4. X^3 = X^3; CUBIC FUNCTION.
THE 'EXPONENT' OF 'X' IS ALSO THE 'POWER' OF 'X'.
THIS IS TO SAY THAT FOR A 'CUBIC FUNCTION' THE LARGEST EXPONENT IN THE FUNCTION, IS 'X' RAISED
TO THE POWER OF '3'.
FOR A QUADRATIC FUNCTION, THE LARGEST EXPONENT IN THE FUNCTION, IS 'X' RAISED TO THE POWER
OF '2'.
FOR A LINE FUNCTION, THE LARGEST EXPONENT IN THE FUNCTION, IS 'X' RAISED TO THE POWER OF '1'.
FOR A CONSTANT FUNCTION, THE LARGEST EXPONENT IN THE FUNCTION, IS 'X' RAISED TO THE POWER OF
'0'.
THE 'COEFFICIENT' IS THE NUMBER JUST TO THE LEFT OF 'X'. FOR EXAMPLE: FOR '1X'; 'X' HAS A COEFFICIENT OF 1.
FOR '2X'; 'X' HAS A COEFFICIENT OF 2.
FOR '3X'; 'X' HAS A COEFFICIENT OF 3.
FOR '4X'; 'X' HAS A COEFFICIENT OF 4.
THE DERIVATIVE OF THE CALCULUS
THE SIMPLEST WAY TO CALCULATE THE COEFFICIENT OF THE DERIVATIVE IS TO MULTIPLY THE
COEFFICIENT OF THE ORIGINAL BY THE EXPONENT OF THE ORIGINAL: FOR EXAMPLE, FOR A COEFFICIENT OF ONE:
1. FOR X^1 COEFFICIENT IS ONE; EXPONENT IS ONE; DERIVATIVE COEFFICIENT = (1 * 1 = 1) 2. FOR X^2 COEFFICIENT IS ONE; EXPONENT IS TWO; DERIVATIVE COEFFICIENT = (1 * 2 = 2) 3. FOR X^3 COEFFICIENT IS ONE; EXPONENT IS THREE; DERIVATIVE COEFFICIENT = (1 * 3 = 3) 4. FOR X^4 COEFFICIENT IS ONE; EXPONENT IS FOUR; DERIVATIVE COEFFICIENT = (1 * 4 = 4) FOR EXAMPLE, FOR A COEFFICIENT OF TWO:
1. FOR 2X^1 COEFFICIENT IS TWO; EXPONENT IS ONE; DERIVATIVE COEFFICIENT = (2 * 1 = 2) 2. FOR 2X^2 COEFFICIENT IS TWO; EXPONENT IS TWO; DERIVATIVE COEFFICIENT = (2 * 2 = 4) 3. FOR 2X^3 COEFFICIENT IS TWO; EXPONENT IS THREE; DERIVATIVE COEFFICIENT = (2 * 3 = 6) 4. FOR 2X^4 COEFFICIENT IS TWO; EXPONENT IS FOUR; DERIVATIVE COEFFICIENT = (2 * 4 = 8) FOR EXAMPLE, FOR A COEFFICIENT OF THREE:
1. FOR 3X^1 COEFFICIENT IS THREE; EXPONENT IS ONE; DERIVATIVE COEFFICIENT = (3 * 1 = 3) 2. FOR 3X^2 COEFFICIENT IS THREE; EXPONENT IS TWO; DERIVATIVE COEFFICIENT = (3 * 2 = 6) 3. FOR 3X^3 COEFFICIENT IS THREE; EXPONENT IS THREE; DERIVATIVE COEFFICIENT = (3 * 3 = 9) 4. FOR 3X^4 COEFFICIENT IS THREE; EXPONENT IS FOUR; DERIVATIVE COEFFICIENT = (3 * 4 = 12) FOR EXAMPLE, FOR A COEFFICIENT OF FOUR:
1. FOR 4X^1 COEFFICIENT IS FOUR; EXPONENT IS ONE; DERIVATIVE COEFFICIENT = (4 * 1 = 4) 2. FOR 4X^2 COEFFICIENT IS FOUR; EXPONENT IS TWO; DERIVATIVE COEFFICIENT = (4 * 2 = 8) 3. FOR 4X^3 COEFFICIENT IS FOUR; EXPONENT IS THREE; DERIVATIVE COEFFICIENT = (4 * 3 = 12) 4. FOR 4X^4 COEFFICIENT IS FOUR; EXPONENT IS FOUR; DERIVATIVE COEFFICIENT = (4 * 4 = 16) THE SIMPLEST WAY TO CALCULATE THE EXPONENT OF THE DERIVATIVE IS TO SUBTRACT ONE FROM THE
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EXPONENT OF THE ORIGINAL:
FOR EXAMPLE, FOR AN EXPONENT OF ONE:
1. FOR 1X^1 COEFFICIENT IS ONE; EXPONENT IS ONE; DERIVATIVE EXPONENT = (1 - 1 = 0) 2. FOR 2X^1 COEFFICIENT IS TWO; EXPONENT IS ONE; DERIVATIVE EXPONENT = (1 - 1 = 0) 3. FOR 3X^1 COEFFICIENT IS THREE; EXPONENT IS ONE; DERIVATIVE EXPONENT = (1 - 1 = 0) 4. FOR 4X^1 COEFFICIENT IS FOUR; EXPONENT IS ONE; DERIVATIVE EXPONENT = (1 - 1 = 0) FOR EXAMPLE, FOR AN EXPONENT OF TWO:
1. FOR 1X^2 COEFFICIENT IS ONE; EXPONENT IS TWO; DERIVATIVE EXPONENT = (2 - 1 = 1) 2. FOR 2X^2 COEFFICIENT IS TWO; EXPONENT IS TWO; DERIVATIVE EXPONENT = (2 - 1 = 1) 3. FOR 3X^2 COEFFICIENT IS THREE; EXPONENT IS TWO; DERIVATIVE EXPONENT = (2 - 1 = 1) 4. FOR 4X^2 COEFFICIENT IS FOUR; EXPONENT IS TWO; DERIVATIVE EXPONENT = (2 - 1 = 1) FOR EXAMPLE, FOR AN EXPONENT OF THREE:
1. FOR 1X^3 COEFFICIENT IS ONE; EXPONENT IS THREE; DERIVATIVE EXPONENT = (3 - 1 = 2) 2. FOR 2X^3 COEFFICIENT IS TWO; EXPONENT IS THREE; DERIVATIVE EXPONENT = (3 - 1 = 2) 3. FOR 3X^3 COEFFICIENT IS THREE; EXPONENT IS THREE; DERIVATIVE EXPONENT = (3 - 1 = 2) 4. FOR 4X^3 COEFFICIENT IS FOUR; EXPONENT IS THREE; DERIVATIVE EXPONENT = (3 - 1 = 2) FOR EXAMPLE, FOR AN EXPONENT OF FOUR:
1. FOR 1X^4 COEFFICIENT IS ONE; EXPONENT IS FOUR; DERIVATIVE EXPONENT = (4 - 1 = 3) 2. FOR 2X^4 COEFFICIENT IS TWO; EXPONENT IS FOUR; DERIVATIVE EXPONENT = (4 - 1 = 3) 3. FOR 3X^4 COEFFICIENT IS THREE; EXPONENT IS FOUR; DERIVATIVE EXPONENT = (4 - 1 = 3) 4. FOR 4X^4 COEFFICIENT IS FOUR; EXPONENT IS FOUR; DERIVATIVE EXPONENT = (4 - 1 = 3) COMBINING BOTH OPERATIONS WILL GIVE THE DERIVATIVE:
FIRST SET OF EXAMPLES HAS CONSTANT COEFFICIENTS:
FOR EXAMPLE, FOR A COEFFICIENT OF ONE:
1. FOR X^1 COEFFICIENT IS ONE; EXPONENT IS ONE; DERIVATIVE = 1X^0
2. FOR X^2 COEFFICIENT IS ONE; EXPONENT IS TWO; DERIVATIVE = 2X^1
3. FOR X^3 COEFFICIENT IS ONE; EXPONENT IS THREE; DERIVATIVE = 3X^2
4. FOR X^4 COEFFICIENT IS ONE; EXPONENT IS FOUR; DERIVATIVE = 4X^3
FOR EXAMPLE, FOR A COEFFICIENT OF TWO:
1. FOR 2X^1 COEFFICIENT IS TWO; EXPONENT IS ONE; DERIVATIVE = 2X^0
2. FOR 2X^2 COEFFICIENT IS TWO; EXPONENT IS TWO; DERIVATIVE = 4X^1
3. FOR 2X^3 COEFFICIENT IS TWO; EXPONENT IS THREE; DERIVATIVE = 6X^2
4. FOR 2X^4 COEFFICIENT IS TWO; EXPONENT IS FOUR; DERIVATIVE = 8X^3
FOR EXAMPLE, FOR A COEFFICIENT OF THREE:
1. FOR 3X^1 COEFFICIENT IS THREE; EXPONENT IS ONE; DERIVATIVE = 3X^0
2. FOR 3X^2 COEFFICIENT IS THREE; EXPONENT IS TWO; DERIVATIVE = 6X^1
3. FOR 3X^3 COEFFICIENT IS THREE; EXPONENT IS THREE; DERIVATIVE = 9X^2
4. FOR 3X^4 COEFFICIENT IS THREE; EXPONENT IS THREE; DERIVATIVE = 12X^3
FOR EXAMPLE, FOR A COEFFICIENT OF FOUR:
1. FOR 4X^1 COEFFICIENT IS FOUR; EXPONENT IS ONE; DERIVATIVE = 4X^0
2. FOR 4X^2 COEFFICIENT IS FOUR; EXPONENT IS TWO; DERIVATIVE = 8X^1
3. FOR 4X^3 COEFFICIENT IS FOUR; EXPONENT IS THREE; DERIVATIVE = 12X^2
4. FOR 4X^4 COEFFICIENT IS FOUR; EXPONENT IS FOUR; DERIVATIVE = 16X^3
SECOND SET OF EXAMPLES HAS CONSTANT EXPONENTS:
FOR EXAMPLE, FOR AN EXPONENT OF ONE:
1. FOR 1X^1 COEFFICIENT IS ONE; EXPONENT IS ONE; DERIVATIVE = 1X^0
2. FOR 2X^1 COEFFICIENT IS TWO; EXPONENT IS ONE; DERIVATIVE = 2X^0
3. FOR 3X^1 COEFFICIENT IS THREE; EXPONENT IS ONE; DERIVATIVE = 3X^0
4. FOR 4X^1 COEFFICIENT IS FOUR; EXPONENT IS ONE; DERIVATIVE = 4X^0
FOR EXAMPLE, FOR AN EXPONENT OF TWO:
1. FOR 1X^2 COEFFICIENT IS ONE; EXPONENT IS TWO; DERIVATIVE = 2X^1
2. FOR 2X^2 COEFFICIENT IS TWO; EXPONENT IS TWO; DERIVATIVE = 4X^1
3. FOR 3X^2 COEFFICIENT IS THREE; EXPONENT IS TWO; DERIVATIVE = 6X^1
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4. FOR 4X^2 COEFFICIENT IS FOUR; EXPONENT IS TWO; DERIVATIVE = 8X^1
FOR EXAMPLE, FOR AN EXPONENT OF THREE:
1. FOR 1X^3 COEFFICIENT IS ONE; EXPONENT IS THREE; DERIVATIVE = 3X^2
2. FOR 2X^3 COEFFICIENT IS TWO; EXPONENT IS THREE; DERIVATIVE = 6X^2
3. FOR 3X^3 COEFFICIENT IS THREE; EXPONENT IS THREE; DERIVATIVE = 9X^2
4. FOR 4X^3 COEFFICIENT IS FOUR; EXPONENT IS THREE; DERIVATIVE = 12X^2
FOR EXAMPLE, FOR AN EXPONENT OF FOUR:
1. FOR 1X^4 COEFFICIENT IS ONE; EXPONENT IS FOUR; DERIVATIVE = 4X^3
2. FOR 2X^4 COEFFICIENT IS TWO; EXPONENT IS FOUR; DERIVATIVE = 8X^3
3. FOR 3X^4 COEFFICIENT IS THREE; EXPONENT IS FOUR; DERIVATIVE = 12X^3
4. FOR 4X^4 COEFFICIENT IS FOUR; EXPONENT IS FOUR; DERIVATIVE = 16X^3
HOPEFULLY, THE ABOVE EXAMPLES ARE HELPFUL IN SHOW YOU, THE READER HOW TO CALCULATE THE
DERIVATIVE OF A FUNCTION.
THE DERIVATIVE OF A FUNCTION IS EQUIVALENT TO THE SLOPE
OF THE FUNCTION
MODERN DAY MATH IS CURRENTLY BASED ON THE CONCEPT OF A FUNCTION. EXAMPLES OF FUNCTION
NOTATION ARE:
• F(X)
• G(X)
• H(X)
• J(X)
THE 'X' REPRESENTS THE HORIZONTAL AXIS IN A TWO-DIMENSIONAL CARTESIAN PLANE. THE 'Y'
REPRESENTS THE VERTICAL AXIS. THE 'X' IS THE INDEPENDANT VARIABLE, AND THE 'Y' IS THE
DEPENDANT VARIABLE. FOR EXAMPLE:
• Y = F(X)
• Y = G(X)
• Y = H(X)
• Y = J(X)
THIS CAN BE ORALLY STATED AS:
• 'Y' IS EQUAL TO THE FUNCTION F(X).
• 'Y' IS EQUAL TO THE FUNCTION G(X).
• 'Y' IS EQUAL TO THE FUNCTION H(X).
• 'Y' IS EQUAL TO THE FUNCTION J(X).
THE NOTATION FOR THE FIRST DERIVATIVES OF THE ABOVE FUNCTIONS ARE:
• Y = F'(X)
• Y = G'(X)
• Y = H'(X)
• Y = J'(X)
THE NOTATION FOR THE SECOND DERIVATIVES OF THE ABOVE FUNCTIONS ARE:
• Y = F''(X)
• Y = G''(X)
• Y = H''(X)
• Y = J''(X)
THIS TYPE OF NOTATION PROCEEDED DIRECTLY FROM LEIBNIZIAN CALCULUS WHERE BOTH 'X' AND 'Y' ARE
SPATIAL DIMENSIONS WITHIN A CARTESIAN GRAPH. THIS TYPE OF NOTATION IS THE BASIS FOR ALL KINDS
OF MATHEMATICS INCLUDING ALGEBRA, GEOMETRY, TRIGONOMETRY, AND A HOST OF OTHERS.
APPLIED IN THE CONTEXT OF A THREE DIMENSIONAL CARTESIAN PLANE, THIS ALSO HAS TO ACCOUNT
FOR THE DIMENSION OF TIME:
• 'X' IS EQUAL TO THE HORIZONTAL AXIS.
• 'Y' IS EQUAL TO THE VERTICAL AXIS.
• 'Z' IS EQUAL TO THE DEPTH AXIS.
• 'T' IS EQUAL TO THE TIME AXIS.
LEIBNIZ WAS A GREAT MATHEMATICIAN. BUT HE WAS NOT A PHYSICISTS.
WHEN YOU TRY TO CALCULATE A SPATIAL COORDINATE 'Y' FROM ANOTHER SPATIAL COORDINATE 'X'; YOU
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EFFECTIVELY END UP WITH THESE TYPES OF FUNCTIONS:
• X = X(Z) + X(Y)
• Y = Y(X) + Y(Z)
• Z = Z(X) + Z(Y)
WHEN DEALING WITH THE PHYSICS OF MOTION, THE ABOVE NOTATION IS WRONG FOR TWO REASONS.
1. THE FUNCTIONS END UP LOOKING LIKE THIS:
◦ X(Z) = Z^3 + Z
◦ X(Y) = Y^2 + 1
◦ Y(X) = X^2 + 1
◦ Y(Z) = Z^3 + 2Z
◦ Z(X) = X^2 + 3X
◦ Z(Y) = Y^4 + 3Y^3 + Y
◦ WHICH REQUIRES A TECHNIQUE CALLED 'PARTIAL DIFFERENTIATION' TO FIND THE DERIVATIVES.
2. THERE IS NO TIME DIMENSION WHATSOEVER. HOW CAN ANYONE DESCRIBE THE MOTION OF AN
OBJECT WITHOUT ANY REFERENCE TO THE TIME DIMENSION?
NEWTONIAN CALCULUS IS THE CORRECT MATHEMATICS FOR DEALING WITH OBJECTS IN MOTION. LOOK
HOW MUCH THE ABOVE FUNCTIONS WILL SIMPLIFY IF YOU ADD THE TIME DIMENSION IN THE RIGHT WAY.
FOR EXAMPLE:
• X = T
• Y = 2T
• Z = 3T
SUBSTITUTE INTO THE FOLLOWING:
• X(Z) = Z^3 + Z
X(Z) = (3T)^3 + (3T)
X(Z) = 3T^3 + 3T
• X(Y) = Y^2 + 1
X(Y) = (2T)^2 + 1
X(Y) = 2T^2 + 1
• Y(X) = X^2 + 1
Y(X) = (T)^2 + 1
Y(X) = T^2 + 1
• Y(Z) = Z^3 + 2Z
Y(Z) = (3T)^3 + 2(3T)
Y(Z) = 3T^3 + 6T
• Z(X) = X^2 + 3X
Z(X) = (T)^2 + 3(T)
Z(X) = T^2 + 3T
• Z(Y) = Y^4 + 3Y^3 + Y
Z(Y) = 2T^4 + 6T^3 + 2T
___________________________________________________________________________________________________
THE MILLENNIUM PROBLEMS
BY KEITH DEVLIN
NAVIER STOKE EQUATIONS
"...The resulting equations are known as the Navier-Stokes equations.
Though these equations can be solved in the hypothetical two-dimensional case of an infinitely thin planar film of fluid, it is not known whether there is a solution in the (more realistic) three-dimensional case. Notice that the issue is not Do we know what the solution is? It's more basic than that. We don't even know whether there is a solution!
Let's begin with Euler's equations for fluid motion, the equations that govern flow in a (hypothetical) frictionless fluid that extends to infinity in all directions.
We assume that each point P = (x,y,z) in the fluid is subject to a force that varies with time. We can specify the force at P at time t by giving its values in each of the three axial directions: fx(x,y,z,t), fy(x,y,z,t), fz(x,y,z,t). (To win the Clay Prize, it is enough to solve the problem in the case where there is no externally applied force, that is, when 92 of 99
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each of fx, fy, fz is zero at all locations and all times. But historically, the problem was formulated in the way I am presenting it.)
let p(x, y, z, t) be the pressure in the fluid at the point P at time t.
The motion of the fluid at point P at time t can be specified by giving its velocity in the three axial directions. Let ux(x, y, z, t) be the velocity of the fluid at P in the x-direction, uy(x, y, z, t) be the velocity of the fluid at P in the y-direction, uz(x, y, z, t) be the velocity of the fluid at P in the z-direction.
We assume that the fluid is incompressible. That is, when a force is applied to it, it may flow in some direction but it can not be compressed; nor can it expand. This is expressed by the following equation: The problem assumes that we know how the fluid is moving at the start, i.e., when t = 0. That is, we know ux(x, y, z, t), uy(x, y, z, t), uz(x, y, z, t) (as functions of x, y, and z).
Moreover, thesee initial functions are assumed to be well-behaved ones. (Exactly what this means is technical, but we don't require a definition in order to obtain an overall understanding of the problem. The precise formulation of the restirction is, however, relevant to the Millennium Prize statement of the Navier-Stokes Problem, so would-be problem solvers would need to know the exact statement.)
By applying Newton's law
to each point P in the fluid, Euler produced the flollowing equations, which when combined wih the incompressiblility equation (1) above describe the motion of the fluid: Equations (1) through (4) are Euler's equations for fluid motion. To allow for viscosity, Navier and Stokes introduced a positive constant v, the viscosity, which measures the frictioal forces within the fluid, and added and additional force--the viscous force--to the right-hand side of quations (2), (3), and (4). The term to be added to the right-hand side of equation (2) is
with entirely similar terms (with ux, replaced by uy, and uz respectively) added to equations (3) and (4).
Here, the notation
denotes the second partial derivative, obtained by first differentiating the result again with respect to x, i.e.,
with analogous definitions in the y and z cases.
Unless you are a calculus whiz, chances are that the above formulas look pretty daunting. To be honest, mathematicians find them a bit overwhelming as well. The problem is that when we try to capture the motion of the fluid at any point in terms of its motion in each of the x-, y-, and z-directions, we make life unnecessarily complicated for ourselves. As you can see, there is relativley little difference among equations (2), (3), and (4), and the three additional viscosity terms we add are all variations on a single theme, one for each axial direction.
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During the nineteenth century, mathematicians developed a notation and a method to handle directional motion in a simpler fashion. The idea was to introduce a new kind of quantity called a vector. Whereas a number simply has quantity, a vector has both quantity and direction. "Vector calculus" is the method you get when you develop calculus for vectors and vector functions instead of number-variables and number-variable functions. Using vectors, mathematicians can write the Navier-Stokes equations more compactly: here, the quantities f and u are vector functions and the symbols/terms
, grad, and div denote operations of
vector calculus. (If you want to know more about this, consult one of the references given at the end of the chapter.) So little progress has been made toward solving the Navier-Stokes equations that the Clay Institute will award the $1 million prize for the solution to any one of several variations of the problem. The simplest version to state, though not necessarily the easiest to solve, assumes that you make the force functions fx, fy, and fz all zero. Can you then find functions p(x, y, z, t), ux(x, y, z, t), uy(x, y, z, t), uz(x, y, z, t) that satisfy the modified versions of equation (1) through 4) (i.e., the versions that include the viscosity terms, with v > 0) and are sufficiently "well-behaved" that they could plausibly correspond to physical reality?
Let me mention that the analoous problem where the viscosity is 0 (i.e., for the Euler equations) has also not been solved but that version is not a Millennium Problem.
If the Navier-Stokes problem is reduced to two dimensions (by setting all z terms equal to 0), it can be solved. This is an old result, but it provides no clue to what happens in three dimensions.
The full three-dimensional problem can also be solved in a highy restricted way. Given the various initial conditions, it is always possible to find a posiitive number T. such that the equations can be solved for all times In
general, the number T is fairly small, so this answer is not particularly useful in real life. The number T is called the
"blowup" time for the particular system.
Will the Navier-Stokes Problem Be Solved?
Will anyone win the $1 million prize for solving the Navier-Stokes equations? By choosing this challenge as a Millennium Problem, the Clay Institute has shined the mathematical spotlight onto a part of mathematics that goes back over two hundred years; the calculus of fluid flow. Given the length of time that mathematicains have been trying to solve these equations, it is hard to deny the thought that they may simply be unsolvable. At the very least, it seems likely that a solution will require some genuine new techniques. The equations may look like a problem in a typical student textbook. But they are definitely far more difficult than that."
THE MILLENNIUM PROBLEMS BY KEITH DEVLIN [PAGE 152 TO 155]
___________________________________________________________________________________________________
NEWTONIAN CALCULUS VS LEIBNIZIAN CALCULUS
THE HEART OF THE PROBLEM IS THE PARTIAL DERIVATIVES!
USING LEIBNIZIAN CALCULUS TO TRY TO SOLVE A PROBLEM IN FLUID DYNAMICS YIELDS FOUR VARIABLES
THAT ARE ALL INDEPENDANT VARIABLES AT SOME POINT WITHIN THESE EQUATIONS; (x, y, z, t). THIS
RESULTS IN EXTREMELY COMPLICATED PARTIAL DIFFERENTIAL EQUATIONS WHICH HAVE PROVEN TO BE
UNSOLVABLE FOR HUNDREDS OF YEARS. IT IS QUITE OBVIOUS THAT LEIBNIZIAN CALCULUS IS NOT THE
RIGHT TOOL FOR THE JOB!
THE RIGHT KIND OF TOOL FOR PROBLEMS OF THIS KIND, IS THE NEWTONIAN CALCULUS. WITH
NEWTONIAN CALCULUS, THERE IS ONLY ONE INDEPENDANT VARIABLE, WHICH IS THE TIME VARIABLE 't', AND THIS ELIMINATES ALL OF THE PAINFUL PARTIAL DIFFERENTIAL MATHEMATICS THAT COMES WITH
THE LEIBNIZIAN APPROACH.
" Let ux(x, y, z, t) be the velocity of the fluid at P in the x-direction, uy(x, y, z, t) be the velocity of the fluid at P in the y-direction, uz(x, y, z, t) be the velocity of the fluid at P in the z-direction."
"The problem assumes that we know how the fluid is moving at the start, i.e., when t = 0. That is, we know ux(x, y, z, t), uy(x, y, z, t), uz(x, y, z, t) (as functions of x, y, and z)."
I WILL PRESUME THAT THESE VELOCITY EQUATIONS ARE THE EQUIVALENT OF MOMENTUM EQUATIONS
WHERE 'm = 1' EFFECTIVELY NEUTRALIZING THE MASS VARIABLE WHICH LEAVES ONLY THE VELOCITY
FUNCTIONS.
USING NEWTONIAN CALCULUS, THE VELOCITY FUNCTIONS IN EACH OF THE THREE AXIAL DIRECTIONS
ARE:
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1. U[t] = U[X(t), Y(t), Z(t)]
2. ux(x, y, z, t) = X(t)
3. uy(x, y, z, t) = Y(t)
4. uz(x, y, z, t) = Z(t)
IN KEEPING WITH THE PRESUMPTION OF 'm = 1', WHICH NEUTRALIZES THE MASS VARIABLE, THE FORCE
FUNCTIONS ARE REDUCED TO ACCELERATION FUNCTIONS WHERE ACCELERATION IS THE DERIVATIVE OF
VELOCITY.
THE DERIVATIVES OF THESE VELOCITY EQUATIONS ARE THE FORCE/ACCELERATION EQUATIONS [WHICH
ARE MASSLESS BECAUSE 'm = 1'] IN EACH OF THE THREE AXIAL DIRECTIONS: 1. F[t] = F[X'(t), Y'(t), Z'(t)]
2. fx(x,y,z,t) = X'(t)
3. fy(x,y,z,t) = Y'(t)
4. fz(x,y,z,t) = Z'(t)
WHICH ARE ALSO THE EQUIVALENT OF THE PARTIAL DERIVATIVE VERSIONS OF THE FORCE/ACCELERATION
EQUATIONS:
1.
2.
3.
SO THE INCOMPRESSIBILITY EQUATIONS TRANSLATES TO:
X'(t) + Y'(t) + Z'(t) = 0
THE VELOCITY FUNCTION IN THE X AXIAL DIRECTION:
[NOTE THAT I PRESUME THAT AN INTEGRAL SIGN
WAS MISSING FROM THE FIRST TERM]
TRANSLATES TO:
= X(t)
THE VELOCITY FUNCTION IN THE Y AXIAL DIRECTION:
[NOTE THAT I PRESUME THAT AN INTEGRAL SIGN
WAS MISSING FROM THE FIRST TERM]
TRANSLATES TO:
= Y(t)
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THE VELOCITY FUNCTION IN THE Z AXIAL DIRECTION:
[NOTE THAT I PRESUME THAT AN INTEGRAL SIGN
WAS MISSING FROM THE FIRST TERM]
TRANSLATES TO:
= Z(t)
THE MISSING INTEGRAL SIGN IS SIGNIFICANT BECAUSE THE INTEGRAL IS THE ANTIDERIVATIVE WHICH
MEANS THAT WHEN AN INTEGRAL AND A DERIVATIVE IS IN THE SAME TERM, THE OPERATIONS CANCEL
EACH OTHER OUT, WHICH JUST LEAVES THE ORIGINAL FUNCTION.
1.
2.
3.
THE COMPLETE PRESSURE EQUATIONS
THE PRESSURE EQUATIONS IN EACH OF THE THREE AXIAL DIRECTIONS ARE: 1.
2.
3.
THEREFORE:
TRANSLATES TO:
X(t) = X'(t) - PX(t)
TRANSLATES TO:
Y(t) = Y'(t) - PY(t)
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TRANSLATES TO:
Z(t) = Z'(t) - PZ(t)
NOTICE THE DIFFERENCE BETWEEN THE LEIBNIZIAN EQUATIONS:
1.
2.
3.
AND THE NEWTONIAN EQUATIONS:
1. X(t) = X'(t) - PX(t) (2)
2. Y(t) = Y'(t) - PY(t) (3)
3. Z(t) = Z'(t) - PZ(t) (4)
THIS MEANS THAT THE VISCOSITY EQUATIONS ARE THE SECOND DERIVATIVES OF THE VELOCITY
EQUATIONS AND ARE ALSO MASS NEUTRAL 'm = 1':
1.
2.
3.
"The term to be added to the right-hand side of equation (2) is with entirely similar terms (with ux, replaced by uy, and uz respectively) added to equations (3) and (4)."
WHICH GIVES:
1. X(t) = X'(t) - PX(t) + X''(t) (2)
2. Y(t) = Y'(t) - PY(t) + Y''(t) (3)
3. Z(t) = Z'(t) - PZ(t) + Z''(t) (4)
REARRANGING THE EQUATIONS GIVES:
1. PX(t) = X'(t) - X(t) + X''(t) (2)
2. PY(t) = Y'(t) - Y(t) + Y''(t) (3)
3. PZ(t) = Z'(t) - Z(t) + Z''(t) (4)
WHICH ARE THE MASS NEUTRAL ('m = 1') COMPLETE PRESSURE EQUATIONS; INCLUDING THE NAVIER-STOKES VISCOSITY ADDITIONS; FOR DYNAMIC FLUID FLOW.
EXAMPLE OF APPLICATION OF GENERAL SOLUTION OF
NAVIER-STOKES EQUATION TO A SPECIFIC CASE
"Can you then find functions p(x, y, z, t), ux(x, y, z, t), uy(x, y, z, t), uz(x, y, z, t) that satisfy the modified versions of equation (1) through 4) (i.e., the versions that include the viscosity terms, with v > 0) and are sufficiently "well-behaved" that they could plausibly correspond to physical reality?"
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NOTICE THAT THE VISCOSITY TERMS ARE THE SECOND DERIVATIVE OF THE VELOCITY TERMS. ALL THAT IS
NECESSARY FOR THE VISCOSITY TERMS TO BE GREATER THAN ZERO; (v > 0); IS THE VELOCITY OF THE
FLUID IN EACH OF THE THREE AXIAL DIRECTIONS; HAS TO BE A FUNCTION OF 't' SUCH THAT: 1. X(t) = at^2 + d
2. Y(t) = bt^2 + d
3. Z(t) = ct^2 + d
4. {a, b, c} > 0
THEN THE FIRST DERIVATIVES OF THE VELOCITY FUNCTIONS ARE THE FORCE FUNCTIONS IN EACH OF
THE THREE AXIAL DIRECTIONS:
1. X'(t) = 2at
2. Y'(t) = 2bt
3. Z'(t) = 2ct
4. {a, b, c} > 0
THEN THE SECOND DERIVATIVES OF THE VELOCITY FUNCTIONS ARE THE VISCOSITY FUNCTIONS IN EACH
OF THE THREE AXIAL DIRECTIONS:
1. X''(t) = 2a
2. Y''(t) = 2b
3. Z''(t) = 2c
4. {a, b, c} > 0
IF THESE ARE AN ACTUAL EXAMPLE, THEN THE PRESSURE EQUATIONS IN EACH OF THE THREE AXIAL
DIRECTIONS ARE:
1. PX(t) = 2at - (at^2 + d) + 2a (2)
2. PY(t) = 2bt - (bt^2 + d) + 2b (3)
3. PZ(t) = 2ct - (ct^2 + d) + 2c (4)
4. {a, b, c} > 0
IF a = 1; b = 2; c = 3; d = 4:
1. PX(t) = 2(1)t - ((1)t^2 + (4)) + 2(1) (2)
= 2t - t^2 + 4 + 2
= 2t - t^2 + 6
2. PY(t) = 2(2)t - ((2)t^2 + (4)) + 2(2) (3)
= 4t - 2t^2 + 4 + 4
= 4t - 2t^2 + 8
3. PZ(t) = 2(3)t - ((3)t^2 + (4)) + 2(3) (4)
= 6t - 3t^2 + 4 + 6
= 6t - 3t^2 + 10
AS LONG AS THE HIGHEST POWER OF THE VELOCITY FUNCTIONS; IN EACH OF THE THREE AXIAL
DIRECTIONS; IS TWO OR GREATER, THEN THE VISCOSITY FUNCTION IN THE THREE AXES WILL ALL BE
GREATER THAN ZERO [v > 0]; WHICH WILL SATISFY THE REQUIREMENTS OF THE NAVIER-STOKES
EQUATIONS.
I THEREFORE SUBMIT THIS CHAPTER AS A SOLUTION TO THE "NAVIER-STOKES EQUATIONS" WHICH IS ONE
OF THE SEVEN MILLENNIUM PROBLEMS.
BREAKING THE THIRD SEAL
___________________________________________________________________________________________________
Revelation 6:5-6
King James Version
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5 And when he had opened the third seal, I heard the third beast say, Come and see. And I beheld, and lo a black horse; and he that sat on him had a pair of balances in his hand.
6 And I heard a voice in the midst of the four beasts say, A measure of wheat for a penny, and three measures of barley for a penny; and see thou hurt not the oil and the wine.
___________________________________________________________________________________________________
___________________________________________________________________________________________________
Genesis 1:9-13
King James Version
9 And God said, Let the waters under the heaven be gathered together unto one place, and let the dry land appear: and it was so.
10 And God called the dry land Earth; and the gathering together of the waters called he Seas: and God saw that it was good.
11 And God said, Let the earth bring forth grass, the herb yielding seed, and the fruit tree yielding fruit after his kind, whose seed is in itself, upon the earth: and it was so.
12 And the earth brought forth grass, and herb yielding seed after his kind, and the tree yielding fruit, whose seed was in itself, after his kind: and God saw that it was good.
13 And the evening and the morning were the third day.
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