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The deformation of the relativistic dispersion relation caused by noncommutative (NC) Quantum Mechanics (QM) is studied using the extended phase-space formalism. The introduction of the additional commutation relations induces Lorentz…

Quantum Physics · Physics 2019-05-01 P. Leal , O. Bertolami

In this paper, we study thermodynamical contributions to the theory of gravity under the $q$-deformed boson and fermion gas models. According to the Verlinde's proposal, the law of gravity is not based on a fundamental interaction but it…

High Energy Physics - Theory · Physics 2019-09-24 Salih Kibaroğlu , Mustafa Senay

This article examines the consequences of the existence of an upper particle momentum limit in quantum electrodynamics, where this momentum limit is the Planck momentum. The method used is Fourier analysis as developed already by Fermi in…

Quantum Physics · Physics 2017-10-03 Rainer Collier

In the present work, an expression for Planck Mass or Planck Energy is derived by equating the Compton wavelength with the gravitational radius of the Kerr rotating body. Using the modified photon energy-momentum dispersion relation, the…

General Relativity and Quantum Cosmology · Physics 2018-03-13 Anuj Kumar Dubey , A. K. Sen , Sonarekha Nath

We present a comprehensive quantum many body theory for kq deformed particles, offering a novel framework that relates particle statistics directly to effective interaction strength. Deformed by the parameters k and q, these particles…

Statistical Mechanics · Physics 2024-12-10 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza NattaghNajafi

Schemes of gravitationally induced decoherence are being actively investigated as possible mechanisms for the quantum-to-classical transition. Here, we introduce a decoherence process due to quantum gravity effects. We assume a foamy…

General Relativity and Quantum Cosmology · Physics 2021-07-23 Luciano Petruzziello , Fabrizio Illuminati

Planck scale physics represents a future challenge, located between particle physics and general relativity. The Planck scale marks a threshold beyond which the old description of spacetime breaks down and conceptually new phenomena must…

High Energy Physics - Theory · Physics 2008-11-26 S. Hossenfelder

Quantum Mechanics of photons leads to a theory of Quantum Gravity that nicely matches the experimental results of varying fine structure constant,obtained from many-multiplet Quaser absorption systems and atomic clocks.The variation of that…

General Physics · Physics 2016-09-08 Pradip Kumar Chatterjee

After picking out what may seem more realistic minimal gravitational deformation of quantum mechanics, we study its back reaction on gravity. The large distance behaviour of Newtonian potential coincides with the result obtained by using of…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Michael Maziashvili

This dissertation examines the impact of quantum gravity on electromagnetism and its backreaction, using perturbative general relativity as an effective field theory. Our analysis involves quantum-correcting Maxwell's equations to obtain a…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Sanjib Katuwal

We review the main features of models where relativistic symmetries are deformed at the Planck scale. We cover the motivations and links to other quantum gravity approaches. We describe in some detail the most studied theoretical…

High Energy Physics - Theory · Physics 2022-11-22 Michele Arzano , Giulia Gubitosi , José Javier Relancio

I outline motivations for believing that important quantum gravity effects lie beyond the Planck scale at both higher energies and longer distances and times. These motivations arise in part from the study of ultra-high energy scattering,…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Steven B. Giddings

Most approaches towards a quantum theory of gravitation indicate the existence of a minimal length scale of the order of the Planck length. Quantum mechanical models incorporating such an intrinsic length scale call for a deformation of…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Won Sang Chung , Georg Junker , Hassan Hassanabadi

It is widely believed that quantum gravity effects are negligible in a conventional laboratory experiment because quantum gravity should play its role only at a distance of about Planck's length ($\sim10^{-33}$ cm). Sometimes that is not…

General Physics · Physics 2016-06-29 Aleksey V. Ilyin

Quantum-gravity effects may introduce relevant consequences for the propagation and interaction of high energy cosmic rays particles. Assuming the space-time foamy structure results in an intrinsic uncertainty of energy and momentum of…

Astrophysics · Physics 2009-11-10 R. Aloisio , P. Blasi , A. Galante , P. L. Ghia , A. F. Grillo

More recently in [J. Phys. A: Math. Theor. 53, 115303 (2020)], we have introduced a set of noncommutative algebra that describes the space-time at the Planck scale. The interesting significant result we found is that the generalized…

High Energy Physics - Theory · Physics 2021-03-30 Latévi Mohamed Lawson

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 use the idea of the symmetry between the spacetime coordinates x^\mu and the energy-momentum p^\mu in quantum theory to construct a momentum space quantum gravity geometry with a metric s_{\mu\nu} and a curvature P^\lambda_{\mu\nu\rho}.…

General Relativity and Quantum Cosmology · Physics 2016-03-08 J. W. Moffat

In this work we continue the systematic study of observable effects emerging from modified dispersion relations. We study the motion of test particles subject to a general first order modification of the general relativistic dispersion…

General Relativity and Quantum Cosmology · Physics 2022-09-01 Dagmar Läänemets , Manuel Hohmann , Christian Pfeifer

Effects of the quantum gravity under Minkowski space-time background are considered. It is shown that despite the absence of the complete theory of quantum gravity, some concrete predictions could be made for the influence of the quantum…

General Relativity and Quantum Cosmology · Physics 2021-08-03 S. L. Cherkas , V. L. Kalashnikov