## 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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