Quantum Gravity and String Theory


Axiomatization of Unification Theories: the Fundamental Role of the Partition Function of Non-Trivial Zeros (Imaginary Parts) of Riemann's Zeta Function. Two Fundamental Equations that Unify Gravitation with Quantum Mechanics

Authors: Angel Garcés Doz

1) Using the partition function for a system in thermodynamic equilibrium; and replacing the energy-Beta factor (Beta = 1/[Boltzmann constant x temperature]) by the imaginary parts of the nontrivial zeros Riemann's zeta function; It is obtained, a function that equals the value of elementary electric charge and the square root of the product of the Planck mass, the electron mass, and the constant of universal gravitation. 2) Using this same partition function (thermodynamic equilibrium) the Planck constant (Planck mass squared, multiplied by the constant of universal gravitation) is calculated with complete accuracy; As a direct function of the square of the quantized constant elementary electric charge. These two fundamental equations imply the existence of a repulsive acceleration of the quantum vacuum. As a direct consequence of this repulsive acceleration of the quantum vacuum; The repulsive energy of the quantum vacuum is directly derived from the general relativity equation for critical density. As a consequence of this repulsive acceleration, we establish provisional equations that allow us to calculate with enough approximation the speed of rotation within the galaxies; As well as the diameter of galaxies and clusters of galaxies. To obtain this results, completely accurate; several initial hypotheses are established. These hypotheses could say, that become physical-mathematical theorems, when they are demonstrated by empirical data. Among others, it is calculated accurately baryon density as well as the mass density. Hypothesis-axioms are demonstrated by their practical application for the empirical calculation of baryon density, antimatter-matter asymmetry factor, Higgs vacuum value, Higgs boson mass (mh1), and mass prediction of Quark stop, about 745-750 GeV. This boson would not have been discovered because its decay would be hidden by the almost equal masses of the particles involved in the decay. We think that this type of hidden decay is a general feature of supersymmetry. The physico-mathematical concept of quantum entropy (entropy of information) acquires a fundamental relevance in the axiomatization of the theories of unification. Another fundamental consequence is that time would be an emergent dimension in the part of the universe called real (finite limit velocities). In the part of the virtual universe and not observable; The time would be canceled, would acquire the value t = 0.This property would explain the instantaneity of the change of correlated observables of interlaced particles; And the instantaneous collapse of the wave function, once it is disturbed (measured, observed with energy transmission to the observed or measured system). To get a zero time, special relativity must be extended to hyperbolic geometries (virtual quantum wormholes). This natural generalization implies the existence of infinite speeds, on the strict condition of zero energy and zero time (canceled). This has a direct relationship with soft photons and soft gravitons with zero energy, from the radiation of a black hole; And that they would solve the problem of the loss of information of the black holes. The main equation of unification of electromagnetism and gravitation; It seems necessarily imply the existence of wormholes, as geometrical manifestation of hyperboloid of one sheet, and two sheets. In the concluding chapter we discuss this point; and others highly relevants. The relativistic invariance of elementary quantized electric charge is automatically derived.

Comments: 117 Pages.

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[v1] 2017-01-03 06:26:26

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