(Also see MANIFESTO OF TRIADIC REALITY below.)
QUANTIZED REALITY APPLYING CLOSE’S CALCULUS OF DISTINCTIONS VERSUS THE CALCULUS OF NEWTON (PART 19)
Our unified reality
Prior to this research, the conventional view had been that the quantal reality was very different from the macroscopic reality. In this and related work, we have shown we have one reality as the microcosm does not fundamentally differ from the macrocosm. In general, there is no mathematical or dimensionometric difference between the ‘microcosm’ of elementary particles and the macrocosms of molecules, human beings, planets, solar systems, and galaxies. Every structure in the universe, including the entire universe itself, is a quantum structure obeying the same laws of space, time and consciousness
Our quantized reality: The Calculus of Distinctions versus Newtonian Calculus.
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.
We utilize the logic of the Calculus of Dimensional Distinctions 10, an application and extension of George Spencer Brown’s Laws of Form 53. In this paper, we demonstrate that LHC particle-collider mass/energy data for electrons, protons and neutrons, can be considered as spinning “distinctions of content”. These occupy unitary “distinctions of extent”.
In the 3S-1t dimensional domain of our 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 quantized distinction. 55; 83; 88; 89; 113; 114 This minimal mass/energy, space-time distinction is the smallest possible finite building block of the 3S-1t universe. As such, the Calculus of Dimensional Distinctions 10 replaces the infinitesimal of the differential calculus of Newton and Leibniz 10 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 such as Rauscher 115, who have attempted to use multi-dimensional analysis to integrate and explain the laws of physics. 13; 115; 116
The process of rotation and unitary orthogonal projection from one dimension to the next in Euclidean space utilizes an extension of 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 and why three not two particles are required
Fermat’s Last Theorem 15-17 applied to the Diophantine 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. This explains why we need a third substance, which by definition is mass-less and energy-less, and which we call gimmel and, we postulate, involves a significant amount of “consciousness”, because there is no other legitimate option.
Revisiting Diophantine Triplets: Fermat’s Last Theorem or the Conveyance Equation?
Perusal of our Tables pertaining to TRUE units and gimmel, may lead to a question about Diophantine triplets. When examining these tables from right to left, we see that mass-energy scores have been unified, and then there are gimmel scores. This totals to TRUE units scores and volumetric equivalents. But there are only two variables on the right side of the equation not three. How does this resolve three sets of Diophantine cubes? The answer is that the cube analysis is done analyzing downwards the sum of the cubes of the three variables, electrons, protons and neutrons.
The protons and neutrons, of course, are subdivided into the two up-quarks and one down-quark of each proton, and the one up-quark and two down-quarks in each individual neutron of the specific element, radical, molecule and compound. Therefore, the calculations for protons and neutrons are, as indicated, based on triads of three quarks each. However, we still apply only one electron in these analyses.
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