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We explore the features of gravity in its quantum regime in a mathematically rigorous way by carrying out the classical and quantum formulations of some two-Killing symmetry reductions of general relativity which admit an exact…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel Gómez Vergel

Inspired by Einstein's Strong Principle of Equivalence we consider the effects of quantum mechanics to the gravity-like phenomena experienced by an observer in a uniformly accelerating motion in flat spacetime. Among other things, our model…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Jarmo Mäkelä

Gravity is so different from other fundamental forces that it is now essentially treated as a non-fundamental force of entropic origin. A number of good studies have been carried out in this direction. Quantum gravity has also significantly…

General Relativity and Quantum Cosmology · Physics 2020-12-11 M. Hameeda , Q. Gani , B. Pourhassan , M. C. Rocca

We present a link between parametrizations of alternative theories of gravity on large and small scales in cosmology. This relationship is established using theoretical consistency conditions only. We find that in both limits the "slip" and…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Timothy Clifton , Viraj A. A. Sanghai

Gravity is understood as a geometrization of spacetime. But spacetime is also the manifold of the boundary values of the spinless point particle in a variational approach. Since all known matter, baryons, leptons and gauge bosons are…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Martin Rivas

Clocks in different heights or with different velocities run with different speeds. For global positioning systems these effects are much too large to be ignored. Nevertheless, in classical and quantum mechanics we get high accuracy using a…

General Physics · Physics 2018-11-01 Manfried Faber

Geodesic orbit equations in the Schwarzschild geometry of general relativity reduce to ordinary conic sections of Newtonian mechanics and gravity for material particles in the non-relativistic limit. On the contrary, geodesic orbit…

General Relativity and Quantum Cosmology · Physics 2018-04-03 Lorenzo Resca

The current accelerating phase of the evolution of the universe is considered by constructing most economical cosmic models that use just general relativity and some dominating quantum effects associated with the probabilistic description…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro F. González-Díaz , Alberto Rozas-Fernández

Dealing with a generic time-local non-Markovian master equation, we define current and power to be process-dependent as in classical thermodynamics. Each process is characterized by a symmetry transformation, a gauge of the master equation,…

Quantum Physics · Physics 2023-08-01 Fernando Nicacio , Raphael N. P. Maia

By invoking an asymmetric metric tensor, and borrowing ideas from non-commutative geometry, string theory, and trace dynamics, we propose an action function for quantum gravity. The action is proportional to the four dimensional…

General Relativity and Quantum Cosmology · Physics 2019-07-01 Tejinder P. Singh

We present an exact quantum observable analog of the weak equivalence principle for a `relativistic' quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Otto C. W. Kong

In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics. In this paper the extension of that result to arbitrary curves…

General Relativity and Quantum Cosmology · Physics 2010-05-11 Paul O'Hara

Gravitation is the common underlying texture between General Relativity and Quantum Mechanics. We take gravitation as the link that can make possible the marriage between these two sciences. We use here the duality of Nature for…

General Physics · Physics 2008-11-26 Antonio Alfonso-Faus

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

In a foregoing paper, gravity has been interpreted as the pressure force exerted on matter at the scale of elementary particles by a perfect fluid. Under the condition that Newtonian gravity must be recovered in the incompressible case, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Quantum Electrodynamics (QED) has been so successful a theory that it is taken as a model for the production of further quantum theories. However, when the prescription for quantising electromagnetic interactions that so successfully…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sarah B. M. Bell , John P. Cullerne , Bernard M. Diaz

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical…

General Relativity and Quantum Cosmology · Physics 2019-12-06 Chopin Soo , Hoi-Lai Yu

One of the goals that physicists have been pursuing is to get the same explanation from different angles for the same phenomenon, so as to realize the unity of basic physical laws. Geometry, classical mechanics and classical thermodynamics…

Classical Physics · Physics 2021-02-02 Weicong Xu , Li Zhao

We analyze classical and quantum dynamics of a particle in 2d spacetimes with constant curvature which are locally isometric but globally different. We show that global symmetries of spacetime specify the symmetries of physical phase-space…

General Relativity and Quantum Cosmology · Physics 2009-10-31 George Jorjadze , Włodzimierz Piechocki

In general relativity, the picture of spacetime assigns an ideal clock to each worldline. Being ideal, gravitational effects due to these clocks are ignored and the flow of time according to one clock is not affected by the presence of…

Quantum Physics · Physics 2017-05-09 Esteban Castro-Ruiz , Flaminia Giacomini , Časlav Brukner