Wednesday, March 11, 2015

TRUE UNITS AND THE NATURAL ELEMENTS OF THE PERIODIC TABLE

THE SECONDARY LEVEL OF SYMMETRIC STABILITY – ATOMS
Atoms are semi-stable structures composed of electrons, protons and neutrons. They are not as stable as protons and neutrons, but they are generally more stable than molecules.
The Elements of the Periodic Table
The Hydrogen atom is unique among the natural elements in that it has only two mass/energy components, the electron and proton. Thus, because Fermat’s Last Theorem prohibits the symmetrical combination of two symmetrical particles; they cannot combine to form stable structures like the combination of quarks to form the proton and neutron. The electron, with a small fraction of the mass of the proton, is drawn by electric charge to whirl around the proton, seeking stability.  This means that the Hydrogen atom, the elemental building block of the universe, composed only of the mass and energy of an electron and a proton, is inherently unstable. So why is it that we have any stable structures at all; why is there a universe? As Leibniz queried: “why is there something rather than nothing”?

One of the Xn integers must be 24 to represent the TRUE unit value of the proton, and among the integer solutions of the m = n = 3 conveyance equation listed above there are four solutions with 24 as one of the Xn solution integers. Nature is parsimonious, and we must never make a mathematical description or demonstration any more complicated than it has to be. Therefore, we start with the smallest solution with 24 as one of the Xn integers. It is 33 + 183 + 243 = 273. But it does not contain an Xn equal to 38, so we must continue, searching for an integer solution that contains both 24 and 38 on the left side of the equation.  Since there are no smaller integer solutions with co-multiples of 24 and 38 as terms in the left side of the equation, we can use the solution that provided a stable Helium atom: 243 + 383 + 1063 = 1083. Using it to represent the Hydrogen atom, we have:
TRUE-Unit Analysis for Hydrogen 1 (Protium), Valence = - 2 + 1 = -1
 Particle Charge Mass/Energy ג Total TRUE Units Volume e - 3 1 105 106 1,191,016 P+ + 3 17 7 24 13,824 Cג* 0 0 38 38 54,872 Totals 0 18 150 168 1,259,712=1083

* Since the Proton required 17 mass/energy units and 7 ג units, adding up to 24 Total TRUE units, to achieve triadic stability (see the Tables describing the Proton), to achieve the same level of stability as the proton and neutron, the Hydrogen atom must have a third additive component, Cג, consisting of 38 ג units, the third form of the ‘stuff’ of reality, not measureable as mass or energy in 3S-1t. This satisfies the conveyance equation and produces a stable Hydrogen atom with a total volume of 1083.
Without the ג units needed by Hydrogen to achieve stability, we would have no universe. The TRUE units of two symmetrically stable entities, the electron and proton, could not combine to form a third symmetrically stable entity (Fermat’s Last Theorem). Because of the asymmetry of their form as two symmetric entities of different sizes in TRUE units, they could not combine; they would spiral and be easily separated by any external force. Even if they could adhere to other particles, the resulting universe would be very boring. All multiples of such a building block would have the same chemical characteristics. With the input of the appropriate number of ג units, Hydrogen is a basic building block of symmetrically stable forms in the 3S–1t observable domain of the physical universe.
In 3S-1t, TRUE units can manifest as mass, energy or ג, in order to form symmetrically stable particles and the 168 total TRUE units of the Hydrogen atom may be arranged in another stable structural form, observed as the simple combination of one electron, one proton and one neutron, known as Deuterium, an isotope of Hydrogen (an atom with the same chemical properties).
Hydrogen 2 (Deuterium), Valence = -2 + 1 = -1
 Particle Charge Mass/Energy ג Total TRUE Units Volume e - 3 1 105 106 1,191,016 P+ + 3 17 7 24 13,824 N0 0 22 16 38 54,872 Totals 0 40 128 168 (108)3

Hydrogen 2 (H2) is held together by electrical charge and 128 ג units, 22 less than the H1 atom. This means that H2 is not as stable as H1. What about other isotopes of H1? Is it possible that the TRUE units of a Hydrogen atom or a Deuterium atom can combine with one or more additional neutrons to form stable isotopes? Hydrogen 3 (H3), known as Tritium, is a second isotope of Hydrogen. Its form in TRUE units is represented below.
Hydrogen 3 (Tritium), Valence = - 2 + 1 = -1
 Particle Charge Mass/Energy ג Total TRUE Units Volume e - 3 1 105 106 1,191,016 P+ + 3 17 7 24 13,824 2N0 0 44 32 76 438,976 Totals 0 62 144 206 (118.018…)3 *
*We see that H3 is an asymmetric structure. One electron, one proton and two neutrons, brought together by attractive forces, cannot combine volumetrically to form a symmetrically stable structure, and as a result, it is unstable and there are very few H3 atoms. Looking at the TRUE unit structure for H1, H2 and H3, we see that all three are bonded by electrical charge, but H1 has volumetric stability and 150 ג units holding it together; H2 has volumetric stability, more mass/energy units and fewer ג units than H1; and H3 has more mass/energy units and ג units, but no volumetric stability. This explains why H1 is the most abundant, H2 less abundant, and H3 correspondingly less stable. The atomic weights of the elements of the periodic table, in amu (atomic mass units), are actually the mean values of atomic masses calculated from a great number of samples. The accepted mean atomic weight for Hydrogen to four significant figures is 1.008. This includes H1 and all isotopes of Hydrogen. If all hydrogen atoms were H1 atoms, this number would be exactly 1. H1 is by far the most stable, and therefore, most abundant, of the Hydrogen family, making up more than 99.99% of all Hydrogen in the universe. Other H isotopes make up the remaining 0.01%, mostly H2, with H3 and other isotopes heavier than H2 occurring only rarely in trace amounts.
STABILITY AND PARTICLE BONDING
In this TRUE unit analysis of Hydrogen and its isotopes, we can identify the four forces that affect the stability of structures composed of protons, neutrons and electrons, holding together the entities that make up the physical universe. They are, in order of strength, dimensionometric tethering, represented by ג (gimmel), the attractive forces of electrical charge, magnetism and gravity. The first is the organizing force of the transfinite substrate, mediated by the conveyance equation to produce negative entropy. The last three are products of relative motion in resistance to negative entropy and universal expansion. First, structures with more ג units are more strongly connected with the nine-dimensional structure of the substrate. Second, if the collection of elementary particles cannot combine to form a symmetric structure in accordance with the FLT restriction and an integer solution of the Conveyance Equation, the collection of particles will not stay together long, even if attracted together by gravity, magnetism and opposite charge to become electrically neutral. The stronger forces of rotational expansion and the impacts of external forces will cause such structures to spiral and fly apart.
It may seem odd that the ratio of ג units to mass/energy units for the electron in these three atomic structures is so much greater than for the other elementary particles; but, as we saw above, these numbers are not arbitrary; they are dictated by the quantum nature of our 3S-1t reality, and the integer solutions of the Diophantine equations of the Conveyance Expression. Recall also, that units of ג, mass and energy, integrated through application of the principles of the Special Theory of Relativity and Quantum Mechanics, are equivalent in TRUE units. Thus, it should be expected that the volume the electron occupies in each orbital shell contributes more to the number of TRUE units for the electron in contrast with the other particles occupying less volumetric equivalence.
Note that atomic and sub-atomic structures are spinning like vortices connecting the dimensional domains. The stability of an atom is less than that of electrons, protons and neutrons. The stability of an atom depends upon whether its components can combine volumetrically, the attraction of the opposite electric charges of spinning electrons and protons, nuclear symmetric stability, and the symmetry created by their high rate of rotation, or vortical spin.
The impact of the ג units in 3S-1t observations reflects the logic of the conscious substrate, so thinking of ג as units of consciousness or intelligence, working through the equations of the Conveyance Expression is justifiable, and comparing the ratio of ג units to mass/energy units for elementary particles, elements, molecules and compounds provides a relative measure of consciousness in all physical structures. Finally, we see that with Hydrogen atoms and neutrons as building blocks, the entire periodic table of elements is produced and their physical and chemical characteristics can be explained in terms of their structure in TRUE units.
In the conventional description of the combining of elements and molecules to form new entities, first, two basic types of bonding are identified: covalent and ionic. Covalent bonding is also described as atoms sharing outer shell (valence) electrons. Ionic bonding occurs when ions of opposite electrical charge, are drawn together. An atom is called an ion when it has a different number of electrons than protons, and an atom with more electrons than protons is called a negative ion, and with fewer, it is called a positive ion. These two types of bonding seem simple enough, but it appears that there are more complex compound types of bonding that require additional descriptions and visual representations: There is polar covalent bonding, non-polar and hybrid bonding. There are Hydrogen bonds, metallic bonds, and Van der Waals bonds. We will not spend time discussing all of the types of bonding described in the current paradigm here, because TRUE unit analysis provides us with an almost entirely different way of understanding how particles combine.

Looking at the TRUE-unit structure of quarks, Hydrogen, Deuterium and Tritium, we see that the way the sub-atomic components are combined determines the symmetry and stability of the resulting compound entity. When three elementary particles combine, like the three quarks of a proton or neutron, with the necessary units of ג, they are combined volumetrically, forming a new symmetrically stable structure. This type of combination is the most stable. There are no electrons to be stripped off and such a compound particle can only be broken apart under extreme conditions, like the extreme heat and pressure in the heart of a star, or the ultra-high-energy collisions of a particle collider.

In H1, all of the TRUE units of the sub-atomic particles, the electron and proton, with their quarks, have combined and re-organized to form a new symmetric structure. Thanks to the stabilizing ג units they have combined volumetrically to form a symmetrically stable and electrically neutral entity, the Hydrogen atom. So instead of being inherently unstable, as it would be if only composed of one electron and one proton, with the necessary units of ג, the Hydrogen atom is very stable. However, because it has only one electron in its outer shell, which has room for two electrons, it is not nearly as stable as the proton and neutron bonding of quarks. H2 is volumetrically stable, but has a lower ג-to-mass/energy ratio than H1, making it still less stable. H3 could not combine volumetrically because it is composed of four sub-atomic entities, not three (FLT again) so it is asymmetric and even less stable, held together only by the attraction of equal and opposite electrical charge.

Using TRUE-unit analysis, we can investigate every possible combination of H1 atoms and neutrons and determine which combinations are the most stable. After Tritium, the next stable combination of TRUE units, Helium, involves 336 TRUE units, as shown below.

HELIUM Valence = - 2 + 2 = 0 (Inert)
 Particle Charge Mass/Energy ג Total TRUE Units Volume 2e - 6 2 210 212* 9,528,128 2P+ + 6 34 14 48 110,592 2N0 0 44 32 76 438,976 Totals 0 80 256 336 (2x108)3
Why is this not called “quadrium”, a third isotope of Hydrogen? It is a new element because it has two electrons filling its outer (and only) shell, so that it is not attracted to other atoms.
New elements arise when a unique new combination of TRUE units, constructed using multiples of the basic building blocks of electrons, protons and neutrons is formed. The next element is the combination of the inert atom, Helium, with the asymmetric atom, H3 with to form Lithium.
LITHIUM, Valence = – 2 + 3 = +1
 Particle Charge Mass/Energy ג Total TRUE Units Volume 3e - 9 3 315 318 32,157,432 3P+ + 9 51 21 72 373,248 4N0 0 88 64 152 3,511,808 Totals 0 142 400 542 (330.32…)3 *
* Since the total volume is not an integer cubed, Lithium, like Tritium, is volumetrically asymmetric. It has a stronger electrical bond than H3 and more ג units connecting it with the multi-dimensional substrate for added stability, but it is less stable because it is asymmetric.
THE TERTIARY LEVEL OF SYMMETRIC STABILITY – MOLECULAR BONDING
We’ve seen how quarks combine in very stable symmetric triads of TRUE units and how atoms form stable or semi-stable vortices, spinning structures consisting of stable triads of protons, neutrons and electrons. A third level of stable and semi-stable structures occurs as molecules are formed from more complex combinations of elemental atoms.
The Role of Valence
The number of electrons in the outer shell of an atom determines the observable identifying chemical characteristics of an element and with which other elements it can combine. Due to the quantized attractive force of electrical charges, arising from quantized angular momentum and spin, electrons are attracted to the oppositely charged protons in the nucleus of an atom. Electrons, having a fraction (1/17) of the mass of photons, are pulled into orbit around the protons of an atom, forming specific finite, graduated concentric dimensional domains called “shells” enclosing the atom.
Using TRUE unit analysis, we find that, as a consequence of the size of the atom and the electron in TRUE units, the first shell has a volume of 212 TRUE units, the exact volume of two electrons. The second shell, with a larger diameter, has a volume of 848 TRUE units, and thus can contain 848/106 = 8 electrons. The maximum number of electrons that each shell can accommodate can be found by determining the volumetric equivalence of each shell in TRUE units. The maximum number of electrons in shells 1 through 6, respectively, is 2, 8, 18, 32, 50, and 72. As more complex atomic structures are formed by the addition of more of the building blocks, the finite volumes of the electron shells are filled with electrons, one after the other.
Atoms combine to form stable or semi-stable molecules in mathematically predictable ways, depending on the number of electrons in their outer-most shells. If an atom, even though electrically neutral and symmetrically stable, has room for one or more electrons in its outer shell, it can combine with another atom with that number of electrons in its outer shell to form a new structure. For example, an H1 Hydrogen atom, which has one electron in its two-electron-capacity shell, can combine with Lithium, which has its first shell filled, and one electron in its second shell. In another example of electron bonding, two Hydrogen atoms, with a combined two electron deficiency in the outer shells, can bond with one Oxygen atom which has two electrons in its outer shell. The first compound, Lithium Hydride, is never found in nature, while the second, H2O, is the most abundant compound in nature. Why?
We are now in a position to explain things with TRUE unit analysis that are not fully understood or well explained by the standard model. For example, why are some elements and compounds more abundant in nature than others? Why is the simple valence-bonded compound Lithium Hydride never found in nature, while Hydrogen Oxide (water), an only slightly more complex compound, is very abundant in nature?
Lithium Hydride is very unstable and reactive with other substances. The current paradigm tries to explain compound bonding in terms of outer shell electrons, largely ignoring the rest of the atom. With TRUE-unit analysis, we see that when bonding occurs, some compounds are able to form symmetric structures, while others are not. The reasons for this involve the total TRUE units of the whole structure, including the other electron shells and the nucleus, not just the outer electron shell. To illustrate this point, we can compare the TRUE unit analyses for LiH and H2O:
Lithium Hydride, Valence 4 - 2 = +2
 Atoms Particles Charge Mass/Energy ג Total TRUE Units Volume Li + H2 4e -12 4 420 424 76,225,024 4P+ +12 68 28 96 884,736 4N0+ Cג 0 88 102 190 6,859,000 Totals 0 0 160 512 672 83,968,760=(437.89…)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
* See detailed TRUE units analysis for Oxygen listed in order below.
Comparing the TRUE analysis for LiH with H2O, we can readily see why H2O is more stable, and consequently more abundant in nature. LiH is strongly electrically bonded, but symmetrically unstable with a valence of +2, while H2O is even more strongly bonded electrically, volumetrically stable, and has a stable outer electron shell. H2O also has 790 more units of ג connecting it more firmly with the multi-dimensional substrate.
In Dr. David Stewart’s brilliant work integrating science and spirituality, “The Chemistry of Essential Oils Made Simple, God’s Love Manifest in Molecules” ref, he notes that “Theoretically, the next simplest possible atom [after Hydrogen] would be two electrons orbiting around two protons …This would be Helium. …However, [this] is not how helium usually occurs in nature … For some unknown reason, nature does not like Helium without neutrons.”
TRUE unit analysis explains why nature does not produce Helium without neutrons. TRUE unit analysis reveals that sub-atomic particles combine to form new complex structures in several ways: They can be drawn together by the forces of gravity and magnetism, they can become attached, held together by equal and opposite electric charge, they can share valence electrons, and if they have the exact mix of TRUE units of mass/energy and ג that satisfies the conveyance equation, they will form a stable, dimensionally symmetric structure. On the other hand, if the mix of TRUE units cannot satisfy the conveyance equation, bonding will produce asymmetric forms which will be semi-stable, or if their outer shells are not full, even unstable, subject to breaking apart when impacted by external forces, while forms volumetrically symmetric, electrically neutral and without valence electrons will be very stable. Helium without Neutrons, i.e. 2e + 2P+, cannot form a symmetrically stable structure. See the TRUE analysis table below.
Helium without Neutrons:
 Particle Charge Mass/Energy ג Total TRUE Units Volume 2e - 9 2 210 212 9,528,128 2P+ + 9 34 14 48 110,592 Totals 0 36 224 260 (212.917…)3 *
*While this combination is charge neutral, it is asymmetric, and therefore only semi-stable, easily broken apart.
But why doesn’t a Helium atom achieve stability with more ג units as H1 did?
Helium without Neutrons, with Volumetric Symmetric Stability from ג units:
 Particle Charge Mass/Energy ג Total TRUE Units Volume 2e - 6 2 210 212* 9,528,128 2P+ + 6 34 14 48 110,592 2Cג 0 0 76 76 438,976 Totals 0 36 300 336 (2x108)3

To understand why this doesn’t happen, we have to look at all of the factors that contribute to the stability of an atom. The three major factors, in the three observable dimensions of 3S-1t, are electrical charge, angular momentum and symmetry. These factors depend on the quantized nature of mass, energy and ג, relative motion, and distance from the center of the atom to the outer shell. The overall stability of an atom depends on the combined effect of these factors on all three levels of the atom: the quark, nuclear, and electron shell levels. The effects of these factors are variably described in the current paradigm with terms like polarity, broken symmetry, quantum states, Eigen vectors, and parity.
The Helium atom has electron-shell stability because the first and only shell is full, while the Hydrogen atom does not, allowing it to compensate with ג units. As shown below, Helium with neutrons, 2e + 2P+ + 2N0 is volumetrically symmetric and electron-shell stable, and is, therefore, the form of Helium most often found in nature. Valence is an expression of the atom’s relative electron-shell stability. A symmetric atom with no valence atoms is very stable.
HELIUM Valence = - 2 + 2 = 0 (Inert)
 Particle Charge Mass/Energy ג Total TRUE Units Volume 2e - 6 2 210 212* 9,528,128 2P+ + 6 34 14 48 110,592 2N0 0 44 32 76 438,976 Totals 0 80 256 336 (2x108)3

The next natural element after Lithium is Beryllium. Since it is asymmetric and has two valence electrons, it is much less stable than Hydrogen (H1) and Helium.

Beryllium, Valence = – 2 + 4 = +2
 Particle Charge Mass/Energy ג Total TRUE Units MREV 4e - 12 4 420 424 76,225,024 4P+ + 12 68 28 96 884,736 5N0 0 110 80 190 6,859,000 Totals 0 182 528 710 (437.8976…)3

BORON, Valence = – 2 + 5 = +3
 Particle Charge Mass/Energy ג Total TRUE Units MREV 5e - 15 5 525 530 148,877,000 5P+ + 15 85 35 120 1,728,000 6N0 0 132 96 228 11,852,352 Totals 0 222 656 878 162,457,352=(545.648…)3

We see that Boron is also asymmetric with valence electrons and is therefore semi-stable; but the next element, Carbon, is more stable, being volumetrically symmetric. Carbon and the next two atoms, Nitrogen and Oxygen are the most stable and abundant elements after Hydrogen and Helium, and since they are not electron-shell stable, they readily combine with Hydrogen to form natural organic compounds. This establishes Hydrogen, Carbon, Nitrogen and Oxygen as the primary building blocks of life, making up between 92% and 96% of living matter ref.

As we proceed with the TRUE unit analysis, we will see that the other elements and compounds necessary for life and the manifestation of consciousness in sentient beings are produced in abundance by the organizing action of the third form as ג units, and the conveyance equation.

CARBON, Valence =  – 2 + 6 = +4
 Particle Charge Mass/Energy ג Total TRUE Units MREV 6e - 18 6 630 636 257,259,456 6P+ + 18 102 42 144 2,985,984 6N0 0 132 96 228 11,852,352 Totals 0 140 768 1,008 272,097,792=6483

NITROGEN, Valence = – 2 + 7 = +5
 Particle Charge Energy/Mass ג Total TRUE Units MREV 7e - 21 7 735 742 408,518,488 7P+ + 21 119 49 168 4,741,632 7N0 0 154 112 266 18,821,096 Totals 0 280 896 1,176 432,081,216 =7563
OXYGEN, Valence = – 2 + 8 = +6
 Particle Charge Mass/Energy ג Total TRUE Units MREV 8e - 24 8 840 848 609,800,192 8P+ + 24 136 56 192 7,077,888 8N0 0 176 128 304 28,094,464 Totals 0 320 1,024 1,344 644,972,544=8643

Moving on to Fluorine, we find it to be volumetrically asymmetric and volatile.
FLUORINE, Valence = – 2 + 9 = +7
 Particle Charge Mass/Energy ג Total TRUE Units MREV 9e - 27 9 945 954 868,250,664 9P+ + 27 153 63 216 10,077,696 10N0 0 220 160 380 54,872,000 Totals 0 382 1,168 1,550 (977,218…)3
NEON, Valence = – 2 – 8 + 10 = 0 (Inert)
 Particle Charge Mass/Energy ג Total TRUE Units Volume 10e - 30 10 1050 1060 1,191,016,000 10P+ + 30 170 70 240 13,824,000 10N0 0 220 160 380 54,872,000 Totals 0 400 1,280 1,680 1,259,712,000=10803

Notice that Hydrogen, Carbon, Nitrogen, and Oxygen, the basic elements of organic life -thanks to the presence of ג in their atomic structure- are volumetrically symmetric and have available valence electrons. Helium and Neon are also symmetric, but are not among the basic elements of organic life because they are inert and therefore unable to readily combine with Hydrogen. All of the other elements analyzed so far, are asymmetric and less abundant in nature.
It is no accident that the reactive, volumetrically symmetric elements are important building blocks of natural organic compounds, and that complex combinations of them manifest life and consciousness.
SODIUM, Valence = – 10 +11 = +1
 Particle Charge Mass/Energy ג Total TRUE Units Volume 11e - 33 11 1,155 1,166 1,585,242,296 11P+ + 33 187 77 264 18, 399,744 12N0 0 264 192 456 94,818,816 Totals 0 462 1,424 1,886 (1,193.12…)3
MAGNESIUM, Valence = – 10 +12 = +2
 Particle Charge Mass/Energy ג Total TRUE Units Volume 12e - 36 12 1,260 1,272 2,058,075,648 12P+ + 36 204 84 288 23, 887,872 12N0 0 264 192 456 94,818,816 Totals 0 480 1,536 2,016 (12X108)3
ALUMINIUM*, Valence = – 10 + 13 = +3
 Particle Charge Mass/Energy ג Total TRUE Units Volume 13e - 39 13 1,365 1,378 2,616,662,152 13P+ + 39 221 91 312 30,371,328 14N0 0 308 224 532 150,568,768 Totals 0 542 1,680 2,222 (1,409.057…)3
*It is my position that this is the correct spelling, consistent with metal nomenclature, however, being an American, I tend to pronounce it ‘Aluminum’.
SILICON, Valence = -10 +14 = +4
 Particle Charge Mass/Energy ג Total TRUE Units Volume 14e - 42 14 1,470 1,484 3,268,147,904 14P+ + 42 238 98 336 37,933,056 14N0 0 308 224 532 150,568,768 Totals 0 560 1,792 2,352 1,5123=(14x108)3
Interestingly, Silicon, Phosphorus, Sulfur and Chlorine are analogous in valence and structure to Carbon, Nitrogen, Oxygen, and Fluorine, prompting some to speculate that under favorable conditions they might combine with Hydrogen in the same way to form ‘Silicon-based’ life forms. Whether or not this could happen, these elements are important and even necessary for life as we know it. While not abundant in the human body, they are abundant, along with the heavier, metallic elements in our life-supporting environment, Planet Earth.
Clearly, we can analyze all of the elements and the virtually endless molecular forms existing in the observable universe in terms of TRUE units, with the potential of explaining more real phenomena, anomalous empirical data and details not explained by the current paradigm. I have personally spent thousands of hours to date, and will spend many more exploring this fascinating new paradigm created by putting consciousness into the equations of science. But for this presentation, time and space are limited. I will close by summarizing the TRUE analyses presented so far.

The table below summarizes the TRUE-unit properties of elements of the Periodic Table from Hydrogen through Silicon.

SUMMARY OF TRUE UNIT ANALYSES OF THE ELEMENTS
 Element ג Units Total TRUE Percent     ג Units Valence TRUE Volume Abundance Rank Hydrogen 150 168 89% -1 1083 1 Deuterium 128 168 76% -1 1083 Tritium 144 206 70% -1 (118.02)3 Helium 256=2x128 336 76% 0 (2x108)3 2 ? (3x108)3 Lithium 400 74% +1 (330.32)3 ? (4x108)3 Beryllium 582 74% +2 (437.89)3 ? (5x108)3 Boron 656 74% +3 (545.65)3 Carbon 768=6x128 76.2% +4 (6x108)3 4 Nitrogen 896=7x128 76.2% +5 (7x108)3 6 Oxygen 1,024=8x128 1,344 76.2% +6 (8x108)3 3 ? (9x108)3 Fluorine 1,168 1,550 75.4% +7 (977.22)3 Neon 1,280=10x128 1,680 76.2% 0 (10x108)3 3 Element ג Units Total TRUE Percent     ג Units Valence TRUE Volume Abundance Rank ? (11x108)3 Sodium 1,424 1,886 75.5% +1 (1,193.12)3 Magnesium 1,536=12x128 2,016 76.2% +2 (12x108)3 9 ? (13x108)3 Aluminium 1,680 2,222 75.6% +3 (1,409.06)3 Silicon 1,792 2,352 76.2% +4 (14x108)3 8
Inspection of this table reveals that the elements that have volumetric symmetry all have three things in common: (1)The number of ג units it takes to give them volumetric stability is the number of electrons they possess times 128, the number of ג units of Deuterium; (2) the percentage of units is exactly the same, 76.19…; and (3) their total TRUE volume is the cube of  the value of their number of electrons times 108, the number of the TRUE units of Hydrogen and Deuterium. These three features of the elements that are symmetric in TRUE units underline the role of ג units and the Neutron in the formation of a stable universe. Inspection of the table also reveals that the regularity of volumetrically symmetric elements appears to have gaps in it because there are no elements to fill the 3x108, 4x108, 5x108, 9x108, 11x108, and 13x108 positions in the table. But these gaps can be filled if we expand our definition of the Periodic Table. If we think of the TRUE units of mass, energy and ג as the primary building blocks of the universe, electrons, protons and neutrons as the secondary level of building blocks, and molecules as the tertiary level of building blocks, this table becomes a list of all of the building blocks of the universe, not just elements.
FILLING IN THE GAPS
The first clue to identifying the symmetric entity that fills a given gap in the sequence of TRUE-unit volumetric symmetry is its location relative to the other symmetric forms in the table. The compound that fills a given gap can only be formed from combinations of symmetric atoms and/or compounds that are smaller than it. For example, the (3x108)3 gap can only be filled by a compound entity composed of Helium [TRUE volume = (2x108)3] and Hydrogen or Deuterium [TRUE volume = (1x108)3]. The table below identifies symmetrical molecular entities that complete the Periodic Table of Building Blocks.
true-UNIT SYMMETRIC molecular coMPOUNDS
 Compound ג Units Total TRUE Valence Percent     ג Units TRUE Volume Comments Helium  Hydride HeH 384 504 +1 76.2% (3x108)3 Super acid Not found in Nature Lithium Hydride Li and H2 (Deuterium) 512 672 +2 76.2% (4x108)3 Rare in Nature Very Reactive (He)2H 640 826 +3 76.2% (5x108)3 Produced in Nuclear Fusion HeH3 640 826 +3 76.2% (5x108)3 Produced in Nuclear Fusion Hydroxide HO 1,174 1,512 -1 77.6% (9x108)3 Building Block of Amino Acids H2N 1,174 1,512 -1 77.6% (9x108)3 Common in Amino Acids CH3 1,174 1,512 -1 77.6% (9x108)3 Common in Organic Compounds H2O 1,324 1,680 0 78.8% (10x108)3 Water H4N 1,496 1,848 +1 80.9% (11x108)3 Ammonium Ion C2H 1,686 2,184 +3 77.2% (13x108)3 Major Component of Cysteine Amino Acid
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 ψ 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 gimmel (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.