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December 2019
July 31, 2019
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April 18, 2021
After having passed the two milestones, Einstein’s Special Relativity Theory, (BoD1), and Pauli’s spin concept (accompanied by the spin statistics CPT theorem, (StR)), the General Relativity Theory (GRT) and the quantum theory of fields became two „dead end road“ theories towards a common gravity and quantum field theory. The physical waymarking labels directing into those dead end roads may be read as dead end road label (1): " towards space-time regions with not constant gravitational potentials governed by a globally constant speed of light",(UnA)dead end road label (2): " towards Yang-Mills mass gap". The waymarker labels of the royal road towards a geometric gravity and quantum field theory may be r oyal road label 1: towards mathematical concepts of „potential“,„potential operator“, and „potential barrior“ as intrinsic elements of a geometric mathematical model beyond a metric space (*) royal road label 2: towards a Hilbert space based hyperboloid manifold with hyperbolic and conical regions governed by a „half-odd-integer“& „half-even integer“ spin concept royal road label 3: towards the Lorentz-invariant, CPT theorem supporting weak Maxwell equations model of „proton potentials“ and „electron potentials“ as intrinsic elements of a geometric mathematical model beyond a metric space : royal road label 4 towards „the understanding of physical units“, (UnA) p. 78, modelled as „potential barrior" constants, (*),(**), (***), (****), (*****)(*) Einstein quote, (UnA) p. 78: „ The principle of the constancy of the speed of light only can be maintained by restricting to space-time regions with a constant gravitational potential.“ (**) The Planck action constant may mark the " potential barrior" between the measurarable action of an electron and the action of a proton, which "is acting" beyond the Planck action constant barrior.(***) The „ potential barrior“ for the validity of the Mach principle determines the fine structure constant and the mass ratio constant of a proton and an electron: Dirac’s large number hypothesis is about the fact that for a hydrogen atom with two masses, a proton and an electron mass, the ratio of corresponding electric and gravitational force, orbiting one another, coincides to the ratio of the size of a proton and the size of the universe (as measured by Hubble), (UnA) p. 150. In the proposed geometric model the hydrogen atom mass is governed by the Mach principle, while the Mach principle is no longer valid for the electron mass, governed by the CPT spin statistics. (****) The norm quadrat representation of the proposed " potential" definition indicates a representation of the fine structure constant in the form 256/137 ~ (pi*pi) - 8. In (GaB) there is an interesting approach (key words: "Margolus-Levitin theorem", "optimal packaged information in micro quantum world and macro universe") to „decrypt“ the fine structure constant as the borderline multiplication factor between the range of the total information volume size (calculated from the quantum energy densities) of all quantum-electromagnetic effects in the universe (including those in The a sense of real electrodynamic fields in a vacuum; Lamb shift) and the range of the total information volume size of all matter in the four dimensional universe (calculated from the matter density of the universe).(*****) The vacuum is a homogeneous, dielectric medium, where no charge distributions and no external currents exist. It is governed by the dielectric and the permeability constants, which together build the speed of light; the fine structure constant can be interpreted as the ratio of the circulation speed of the electron of a hydrogen atom in its ground state and the speed of light. This puts the spot on the Maxwell equations and the " still missing underlying laws governing the "currents" and "charges" of electromagnetic particles. ...The energetical factors are unknown, which determine the arrangement of electricity in bodies of a given size and charge", (EiA), p. 52:
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