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General Relativity is not the definitive theory of Gravitation due to several shortcomings which are coming out both from theoretical and experimental viewpoints. At large scales (astrophysical and cosmological scales) the attempts to match…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Capozziello , M. De Laurentis , M. Francaviglia , S. Mercadante

In this paper we establish the existence of the non-perturbative theory of quantum gravity known as quantum holonomy theory by showing that a Hilbert space representation of the QHD(M) algebra, which is an algebra generated by…

General Relativity and Quantum Cosmology · Physics 2018-09-18 Johannes Aastrup , Jesper M. Grimstrup

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein--Cartan theory and the possible interpretation of the torsion trace as the…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Horie

Elementary Cycles Theory is a self-consistent, unified formulation of quantum and relativistic physics. Here we introduce its basic quantum aspects. On one hand, Newton's law of inertia states that every isolated particle has persistent…

General Physics · Physics 2021-09-21 Donatello Dolce

While the generally recognized symmetries of cosmos are preserved, conservation laws for gravitational system are reconsidered and the Lagrangian density of pure gravitational field is revised. From these considerations, some of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fang-Pei Chen

Symmetries are essential for a consistent formulation of many quantum systems. In this paper we discuss a previously unnoticed symmetry, which is present for any Lagrangian term that involves $\dot{x}^2$. As a basic model that incorporates…

High Energy Physics - Theory · Physics 2017-11-08 Benjamin Koch , Enrique Muñoz , Ignacio Reyes

The Wigner's Friend thought experiment stands as one of the most intellectually provocative and challenging conceptual puzzles in quantum mechanics. It compels us to confront profound questions concerning the fundamental nature of reality,…

Quantum Physics · Physics 2025-07-25 Herve Zwirn

Gravity theory based on current algebra is formulated. The gauge principle rather than the general covariance combined with the equivalence principle plays the pivotal role in the formalism, and the latter principles are derived as a…

High Energy Physics - Theory · Physics 2020-04-07 Shotaro Shiba Funai , Hirotaka Sugawara

The zero point field is an ordinary field existing in the dark, which cannot be separated from the total electromagnetic field in an excited mode. The total field is in equilibrium with matter that it polarizes temporarily and reversibly.…

Quantum Physics · Physics 2009-09-29 Jacques Moret-Bailly

Consider the interior of a black hole or the very early universe: matter is so densely localized that neither the effects of gravity nor those of quantum theory can be ignored. But this entails that neither general relativity nor quantum…

General Relativity and Quantum Cosmology · Physics 2023-10-02 Hassan Mehmood

Wigner's Friend-type paradoxes challenge the assumption that events are absolute -- that when we measure a system, we obtain a single result, which is not relative to anything or anyone else. These paradoxes highlight the tension between…

Quantum Physics · Physics 2026-04-23 Sumit Mukherjee , Jonte R. Hance

It is nowadays clear that General Relativity cannot be the definitive theory of Gravitation due to several shortcomings that come out both from theoretical and experimental viewpoints. At large scales (astrophysical and cosmological) the…

General Relativity and Quantum Cosmology · Physics 2009-10-02 S. Capozziello , M. De Laurentis , M. Francaviglia , S. Mercadante

Quantum algebraic observables representing localization in space-time of a Dirac electron are defined. Inertial motion of the electron is represented in the quantum algebra with electron mass acting as the generator of motion. Since…

Quantum Physics · Physics 2009-11-07 Marc-Thierry Jaekel , Serge Reynaud

Starting from a relativistic phenomenology of anyons in crystals, we discuss the concept of relativistic interaction and the need to unify electromagnetism and gravitation within the Spencer cohomology of Lie equations. Then, from the…

dg-ga · Mathematics 2008-02-03 Jacques L. Rubin

In a purely relational theory there exists a tension between the relational character of the theory and the existence of quantities like distance and duration. We review this issue in the context of the Leibniz-Clarke correspondence. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Olaf Dreyer

"It is utterly beyond our power to measure the changes of things by time. Quite the contrary, time is an abstraction at which we arrive through the changes of things." Ernst Mach [1]. What change? Three answers to this are `any change'…

General Relativity and Quantum Cosmology · Physics 2013-04-22 Edward Anderson

Modified General Relativity (MGR) is the natural extension of General Relativity (GR). MGR explicitly uses the smooth regular line element vector field $(\bm{X},-\bm{X}) $, which exists in all Lorentzian spacetimes, to construct a…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Gary Nash

We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended) space-time. The primordial dynamics in complex space allows…

General Physics · Physics 2011-05-17 Vladimir V. Kassandrov

We introduce a new framework called linear algebraic number theory (LANT) that reformulates the number-theoretic problem as a regression model and solves it using matrix algebra. This framework restricts all computations to log space,…

General Mathematics · Mathematics 2017-09-19 Joram Soch

This paper presents an elementary introduction to Consistent Quantum Theory (CQT), as developed by Griffiths and others over the past 25 years. The theory is a version of orthodox(Copenhagen) quantum mechanics, based on the notion that the…

Quantum Physics · Physics 2010-12-06 Pierre C. Hohenberg