Friday, January 9, 2015

FILLING THE GAPS, SUMMARY AND CONCLUSIONS

This post completes the installations of a 40-page paper entitled "PUTTING CONSCIOUSNESS INTO THE EQUATIONS OF SCIENCE, The TRUE Units of Measurement and the Theory of Everything". There will be one more post, in which I will attempt to explain the significance of this new paradigmatic information in non-technical terms.

FILLING THE GAPS
While filling the gaps in the sequence of (nx108)3 symmetric structures in the Periodic Table, we find that there may be two or more compounds with the exact TRUE volume to fill the gaps, increasing in number as n increases. We also discover that, after n = 9, there are symmetric compounds equal in TRUE volume to some elements. H2O, for example, has a TRUE volume of (10x108)3, the same TRUE volume as the inert gas Neon. The TRUE-unit analyses for the compounds in the Table immediately above are displayed below.
Helium Hydride, Valence = - 2 + 3 = +1
Compound
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
He + H
3e
3
315
318
32,157,432

3P+
51
21
72
373,248

3N0
66
48
114
1,481,544

Totals
120
384
504
34,012,224=(324)3
= (3x108)3
Lithium Hydride, Valence = - 2 + 4 = +2
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
Li + H2
4e
4
420
424
76,225,024

4P+
68
28
96
884,736

4N0
88
64
152
3,511,808

Totals
160
512
672
80,621,568=(432)3
= (4x108)3
(He)2H, Valence = - 2 + 5 = +3
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
(He)2H
5e
5
525
530
148,877,000

5P+
85
35
120
1,728,000

5N0
110
80
190
6,859,000

Totals
186
640
826
157,464,000=(540)3
= (5x108)3
HeH3, Valence = - 2 + 5 = +3
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
(He)2H
5e
5
525
530
148,877,000

5P+
85
35
120
1,728,000

5N0
110
80
190
6,859,000

Totals
186
640
826
157,464,000=(540)3
= (5x108)3



HO, Hydroxide Ion, Valence = - 2 + 9 = +7
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
2H + O
9e
9
945
954
868,250,664

9P+
153
63
216
10,077,696

1Cג+8N0
176
166
342
40,001,688

Totals
338
1,174
1,512
918,330,048=(972)3
= (9x108)3

H2N, Valence = - 2 + 9 = +7
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
2H + N
9e
9
945
954
868,250,664

9P+
153
63
216
10,077,696

9N0
176
166
342
40,001,688

Totals
338
1,174
1,512
918,330,048=(972)3
= (9x108)3
CH3, Valence = - 2 + 9 = +7
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
C + 3H
9e
9
945
954
868,250,664

9P+
153
63
216
10,077,696

9N0
176
166
342
40,001,688

Totals
338
1,174
1,512
918,330,048=(972)3
= (9x108)3
H2O, Water, Valence = -2 -8 + 10 = 0
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
2(H2)+O*
10e
10
1050
1060
1,191,016,000

10P+
170
70
240
13,824,000

8N0+2Cג
176
204
380
54,872,000

Totals
356
1,324
1,680
1,259,712,000=(1,080)3 =(10x108)3
H4N, Valence = 11 -2 – 8 = +1
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
4H1+ N
11e
11
1,155
1,166
1,585,242,296

11P+
187
77
264
18,399,744

4Cג+7N0
154
264
418
73,034,632

Totals
352
1,496
1,848
1,676,676,672=(1,188)3
=(11x108)3

C2H, Valence = 13 -2 – 8 = +3
Atoms
Particles
Mass/Energy
ג
Total TRUE
Units
Volume
2C + H
13e
13
1,365
1,378
2,616,662,152

13P+
221
91
312
30,371,328

Cג+12N0
264
230
494
120,553,784

Totals
498
1,686
2,184
2,767,587,264=(1,404)3
=(13x108)3

SUMMARY AND CONCLUSION
Applying the process of rotation and unitary projection from dimension to dimension in Euclidean space, we find that the mathematical structure of basic number theory requires the existence of nine finite orthogonal dimensions embedded successively in an infinitely continuous substrate. Applying the logic of the Calculus of Dimensional Distinctions, an application and extension of George Spencer Brown’s Laws of Form, to LHC particle-collider mass/energy data for electrons, protons and neutrons, considered as spinning distinctions of content occupying unitary distinctions of extent in the 3S-1t dimensional domain of physical observations, we find that the light-speed limitation of Einstein’s special relativity and Planck’s quantization of mass and energy define a minimal unitary distinction. This minimal mass/energy, space-time distinction is the smallest possible finite building block of the 3S-1t universe.. As such, it replaces the infinitesimal of the differential calculus of Newton and Leibniz in the mathematical analysis of physical reality. The Calculus of Dimensional Distinctions provides us with the tool needed to extend the work of Minkowski, Einstein, Kaluza, Klein, Pauli, and others who have attempted to use multi-dimensional analysis to integrate and explain the laws of physics.
The process of rotation and unitary orthogonal projection from the planes of one dimension to the next in Euclidean space utilizes the Pythagorean Theorem. Generalization of the Pythagorean Theorem equation to three dimensions and application to the minimal quantized distinctions of extent and content produces a set of Diophantine expressions that perfectly describe the combination of elementary particles. Integer solutions of these equations represent stable, symmetric combinations of elementary particles; but when there are no integer solutions, the expressions are inequalities representing unstable combinations that decay quickly. Fermat’s Last Theorem applied to the equation describing the combination of two elementary particles tells us that there are no integer solutions, and thus no stable combinations. The equation for the combination of three particles, on the other hand, does have integer solutions. This explains why three quarks, not two, combine to form protons and neutrons.
Application of the equation describing the combination of three particles to particle-collider mass/energy data expressed as multiples of the minimal unit, reveals that, in order for stable combinations to form, in addition to the volumetrically equivalent forms of mass and energy, there has to be a third equivalent form that does not register in physical measurements as mass or energy. Representing the third equivalent form with the symbol ג in the equations describing the combination of three particles as integer multiples of the minimal unit, we are able to calculate the unique number of mass/energy units and ג units needed to produce the stable protons and neutrons of the atoms that make up the physical universe, i.e., the elements of the Periodic Table.
Analyzing the new information provided by the third form of the “stuff” of the physical universe, we find interesting patterns in the structure of the Elements. For example, Carbon, Nitrogen, Oxygen, and Sulfur have the exact same percentage of ג units. This exact ratio in elements that play a major role in life-supporting organisms is not accidental. Without the presence of ג units, no stable structures could form and there would be no physical universe.  This means that ג TRUE units had to be present from the formation of the first elementary particle, guiding the formation of the physical universe to produce structures capable of supporting life. This supports the hypothesis that logical structure, meaning, purpose and life are not emergent epiphenomena, but intrinsic features of reality.
TDVP provides a “mechanism” explaining why there is something rather than nothing. In TDVP, the form and structure of reality is determined by the intrinsic logic of nine-dimensional reality, without requiring any transfer of mass or energy.


These results strongly suggest that, in a nine-dimensional spin reality, stable structures are purposefully formed for use as vehicles through which the consciousness of the C-substrate may experience spacetime reality.

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