Quantum Gravity and String Theory

2109 Submissions

[7] viXra:2109.0210 [pdf] submitted on 2021-09-29 02:34:45

Solution to Quantum Gravity and Other Enigmas of the Dominant Paradigm

Authors: Yefim Bakman
Comments: 17 Pages.

The main ideas of the future paradigm have been already stated, but were rejected owing to a lack of knowledge, untimeliness, or other reasons. It remains for us to look at the choices taken by traditional physicists at crucial points in history and to reconsider them with due regard to the accumulated knowledge. These new choices must eliminate as many contradictions in the present physical theories as possible. If we imagine physics as a crossword puzzle, then the goal is to choose those answers that do not contradict each other at the intersections.
Category: Quantum Gravity and String Theory

[6] viXra:2109.0159 [pdf] submitted on 2021-09-22 23:48:59

Quantum Theory of Gravity: A New Formulation of the Gupta-feynman Based Quantum Field Theory of Einstein Gravity

Authors: Mir Hameeda, A. Plastino, M. C. Rocca
Comments: 19 Pages.

In this manuscript we do the Quantum Field Theory (QFT) of Einstein's Gravity (EG) based on the developments previously made by Suraj N. Gupta and Richard P. Feynman, using a new and more general mathematical theory based on Ultrahyperfunctions \cite{ss} \\ \nd Ultrahyperfunctions (UHF) are the generalization and extension to the complex plane of Schwartz 'tempered distributions. This manuscript is an {\bf application} to Einstein's Gravity (EG) of the mathematical theory developed by Bollini et al \cite{br1, br2, br3, br4} and continued for more than 25 years by one of the authors of this paper. A simplified version of these results was given in \cite{pr2} and, based on them, (restricted to Lorentz Invariant distributions) QFT of EG \cite{pr1} was obtained. We will quantize EG using the {\bf most general quantization approach}, the Schwinger-Feynman variational principle \cite{vis}, which is more appropriate and rigorous than the popular functional integral method (FIM). FIM is not applicable here because our Lagrangian contains derivative couplings. \\ \nd We use the Einstein Lagrangian as obtained by Gupta \cite{g1,g2,g3}, but we added a new constraint to the theory. Thus the problem of lack of unitarity for the $S$ matrix that appears in the procedures of Gupta and Feynman.\\ \nd Furthermore, we considerably simplify the handling of constraints, eliminating the need to appeal to ghosts for guarantying unitarity of the theory. \\ \nd Our theory is obviously non-renormalizable. However, this inconvenience is solved by resorting to the theory developed by Bollini et al. \cite{br1,br2,br3,br4,pr2}\\ \nd This theory is based on the thesis of Alexander Grothendieck \cite{gro} and on the theory of Ultrahyperfunctions of Jose Sebastiao e Silva \cite{ss} \\ Based on these papers, a complete theory has been constructed for 25 years that is able to quantize non-renormalizable Field Theories (FT). \\ Because we are using a Gupta-Feynman based EG Lagrangian and to the new mathematical theory we have avoided the use of ghosts, as we have already mentioned, to obtain a unitary QFT of EG \\
Category: Quantum Gravity and String Theory

[5] viXra:2109.0122 [pdf] submitted on 2021-09-13 20:45:45

Is Gravity Quantum?

Authors: Warren D. Smith
Comments: 16 Pages. Rjected by arXiv in March 2021.

We'll discuss several experiments aimed at proving gravity is a quantum, not classical, field theory. Some of the experiments are more "thought experiments" than practical; others are aimed toward being practically feasible; others have already been done. The net effect of our arguments, I think (even without performing any of the not-yet-done experiments), is to make it clear gravity must be quantized, in the sense gravitational fields are made of "gravitons" obeying Planck's energy-quantization condition E=hf.
Category: Quantum Gravity and String Theory

[4] viXra:2109.0121 [pdf] submitted on 2021-09-12 07:42:42

The Riemann Hypothesis and Tachyonic Off-Shell String Scattering Amplitudes

Authors: Carlos Castro
Comments: 15 Pages.

The study of the ${\bf 4}$-tachyon off-shell string scattering amplitude $ A_4 (s, t, u) $, based on Witten's open string field theory, reveals the existence of a continuum of poles in the $s$-channel and corresponding to a continuum of complex spins $ J $. The latter spins $ J$ belong to the Regge trajectories in the $ t, u$ channels which are defined by $ - J (t) = - 1 - { 1\over 2 } t = \beta (t)= { 1\over 2 } + i \lambda $; $ - J (u) = - 1 - { 1\over 2 } u = \gamma (u) = { 1\over 2 } - i \lambda $, with $ \lambda = real$. These values of $ \beta ( t ), \gamma (u) $ given by ${ 1\over 2 } \pm i \lambda $, respectively, coincide precisely with the location of the critical line of nontrivial Riemann zeta zeros $ \zeta (z_n = { 1\over 2 } \pm i \lambda_n) = 0$. We proceed to prove that if there were nontrivial zeta zeros (violating the Riemann Hypothesis) outside the critical line $ Real~ z = 1/2 $ (but inside the critical strip) these putative zeros $ don't$ correspond to any $poles$ of the ${\bf 4}$-tachyon off-shell string scattering amplitude $ A_4 ( s, t , u ) $. One of the most salient features of these results is the $collinearity$ of the ${\bf 4}$ off-shell tachyons. We may speculate that this spatial $collinearity$ is actually reflected in the $collinearity$ of the poles of the string amplitude, lying in the critical line : $ \beta = \gamma^* = { 1\over 2 } + i \lambda$, where the nontrivial zeta zeros are located. We finalize with some concluding remarks on continuous spins, non-commutative geometry and other relevant topics.
Category: Quantum Gravity and String Theory

[3] viXra:2109.0023 [pdf] submitted on 2021-09-04 19:52:19

Gupta-Feynman Based Quantum Theory of Gravity and the Compressed Space

Authors: Mir Hameeda, M. C. Rocca
Comments: 17 Pages.

In this work we develop the quantum theory of gravity in the gravitational compressed space. The equivalence of spatial compression to the Lorentz contraction of special relativity, supported by the relative gravitational red-shift using the black hole clock leads to the brane potential and gives the minimum length at which the extra dimensions become dominant, comparable to that of the Schwarzschild radius. For Planck mass the minimum length is almost Planck's length. When doing the quantization of the theory, we find that those responsible for the evolution of time for luminous matter, graviton and for dark matter, the axion, have the property that in compressed gravitational space, naked and dressed propagators are equal and coincide with the corresponding naked propagators.
Category: Quantum Gravity and String Theory

[2] viXra:2109.0014 [pdf] submitted on 2021-09-02 02:17:59

The Fundamental Role of Proper Time in General Relativity and in Quantum Mechanics

Authors: René Friedrich
Comments: 8 Pages.

Special relativity provides time with a precise physical concept: In a first step, time is generated by rest energy in the form of proper time, and in a second step, an observer may measure the corresponding coordinate time.
Category: Quantum Gravity and String Theory

[1] viXra:2109.0002 [pdf] submitted on 2021-09-01 09:58:02

A Proposed Mechanism for Quantum Gravity Transmission

Authors: Richard L Marker
Comments: 2 Pages.

This note postulates the existence of a fabric of space with certain characteristics. The characteristics provide the basis for a mechanism that transmits quantum gravity.
Category: Quantum Gravity and String Theory