Quantum Gravity and String Theory

Spacetime as a Whole

Authors: Alireza Jamali
Comments: 14 Pages. Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation

There is no formal difference between particles and black holes. This formal similarity lies in the intersection of gravity and quantum theory; quantum gravity. Motivated by this similarity, 'wave-black hole duality' is proposed, which requires having a proper energy-momentum tensor of spacetime itself. Such a tensor is then found as a consequence of 'principle of minimum gravitational potential'; a principle that corrects the Schwarzschild metric and predicts extra periods in orbits of the planets. In search of the equation that governs changes of observables of spacetime, a novel Hamiltonian dynamics of a Pseudo-Riemannian manifold based on a vector Hamiltonian is adumbrated. The new Hamiltonian dynamics is then seen to be characterized by a new 'tensor bracket' which enables one to finally find the analogue of Heisenberg equation for a 'tensor observable' of spacetime.
Category: Quantum Gravity and String Theory

Ordinary Scalars Will Undergo Topological Phase Transitions Under $f(R, \phi)$

Authors: Wen-Xiang Chen
Comments: 4 Pages.

In this article, we make a simulation, when the boundary conditions are preset, the ratio of the temperature of the two systems is a complex number, which is consistent with $f(R, \phi)$ theory, then a new solution (prediction) appears, ordinary scalars will undergo topological phase transitions under $f(R, \phi)$.
Category: Quantum Gravity and String Theory

Toe the Universe Can be Explained Without the Constants c, H and G

Authors: Helmut Schmidt
Comments: 8 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]

Newton's law of gravitation F = G m1 m2 /r^2 gives very precise results for the radii r and velocities v of an orbit, but no indication of the diameter or mass of celestial bodies or elementary particles. The laws of nature can be described in terms of a single type of particle with a constant velocity, one dimension, the simplest possible law of energy E = 2^n i^t n,t in setN , and the properties of a fractal. In contrast, our idea of ​​the world is one with 3 isotropic dimensions x, y and z. The TOE requires a revision of the isotropic space. If one designates r as the large radius, xy as the small radius and z as the deviation, the resulting ratios are as follows: r / z = n / m, xy / z = l / m and n > l > abs m > 0 . n, l, m with natural numbers. 2pi is the appropriate conversion factor from radius r to circumference and orbital period. The polynomial r_Objekt = (r + (2pi) xy + (2pi)^2 z )is the summary of the 3 dimensions of an object. With particle numbers and polar coordinates, simple relationships for space NB / rB = N1 / r1 = N2 / r2 and time NB / wB = N1 / w1 = N2 / w2 can be set up for two objects and one observer. This results in c, h and G: c = r_earth ^2 / m / day 2/pi h G c^5 s^8 m^10 sqrt( pi^4 - pi^2 - pi^-1 - pi^-3) = 1

The best explanation for this is the following story. This requires more words and less calculations. The considerations must be in the context of the most important work in physics. Take it with humor and take it seriously.
Category: Quantum Gravity and String Theory

Hamiltonian Mechanics of Pseudo-Riemannian Manifolds

Authors: Alireza Jamali
Comments: 4 Pages. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. Comments and objections are welcome.

The serious obstacle for a quantum theory of general relativity is that Hamiltonian mechanics fundamentally distinguishes time from other coordinates. Postulating that the Hamiltonian dynamics of spacetime manifold must be entirely described by metric tensor, and energy-momentum tensor, I heuristically derive corresponding equivalent of Hamilton equations and then using the idea of wavefunction of spacetime, quantize the theory.
Category: Quantum Gravity and String Theory

Evolution of the Donut Chain Theory of Space and Matter

Authors: Richard L Marker
Comments: 15 Pages.

The Donut Chain Theory of Space and Matter started during the late 1970’s as one person’s attempt to understand the journey taken by nature to create space and matter in the universe. The development focused on gaining a personal conceptual understanding of how such a journey might occur. Originally, the process was never intended to be definitive; nor, was it intended to produce numerical results of any significance. It was simply meant to provide a personally plausible understanding of space and matter.
Category: Quantum Gravity and String Theory

Five-Dimensional Cosmology Translation of (Fünfdimensionale Kosmologie)

Authors: Pascual Jordan
Comments: 24 Pages. Preprint: 2021 - The Vigier Centenary Third Regime Natural Science Toward a Physics tf The Observer 12th International Symposium Honoring Noted Mathematical Physicist Jean-Pierre Vigier

(This article(s) is translated into English by Richard L. Amoroso)

The thesis contains a comprehensive overview of various works of the author and his studies on 5D (projective) relativity theory and its application for the clarification of cosmology and star formation processes developed by Vefasser’s earlier theory. The first part provides an explanation of the projective theory of relativity (which can be read independently of other work) in the expanded form developed by the author in 1944; the invariant J = X^mu X_mu, viewed as a constant in the older version of the theory, is treated as a scalar field. Even though in my first investigations this expansion of the theory seemed to lead to a considerable complication of the formula apparatus, a very simple implementation of the mathematical theory is now possible. The second part deals with the physical interpretation of the mathematical relationships thus obtained, with the establishment of the field equations – the variability of the size of J makes it possible to give corresponding mathematical precision for Dirac's idea of a gravitational constant that changes with cosmological time – and with the application to cosmology and star formation, according to the results of Ludwig and Müller, who provided the systematic execution of my model of the cosmos and star formation developed from Dirac’s principle. Finally, relationships between the theory presented and the facts.
Category: Quantum Gravity and String Theory