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Although the deformation of the Heisenberg algebra by a minimal length has become a central tool in quantum gravity phenomenology, it has never been rigorously obtained and is often derived using heuristic reasoning. In this study, we move…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Naveed Ahmad Shah , S. S. Z. Ashraf , Aasiya Shaikh , Yas Yamin , P. K. Sahoo , Aaqid Bhat , Suhail Ahmad Lone , Mir Faizal , M. A. H. Ahsan

An essential step towards the identification of a fermion mass generation mechanism at Planck scale is to analyse massive fermions in a given quantum gravity framework. In this letter the two mass terms entering the Hamiltonian constraint…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Merced Montesinos-Velasquez , Hugo A. Morales-Tecotl , Tonatiuh Matos

This work pioneers the quantization of primordial fermion perturbations in hybrid Loop Quantum Cosmology (LQC). We consider a Dirac field coupled to a spatially flat, homogeneous, and isotropic cosmology, sourced by a scalar inflaton, and…

General Relativity and Quantum Cosmology · Physics 2017-09-08 Beatriz Elizaga Navascués , Mercedes Martín-Benito , Guillermo A. Mena Marugán

The semiclassical gravity describes gravitational back-reactions of the classical spacetime interacting with quantum matter fields but the quantum effects on the background is formally defined as higher derivative curvatures. These induce…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Hiroki Matsui , Naoki Watamura

We investigate the spin-1/2 relativistic quantum dynamics in the curved space-time generated by a central massive charged object (black hole). This necessitates a study of the coupling of a Dirac particle to the Reissner-Nordstrom…

General Relativity and Quantum Cosmology · Physics 2016-04-01 J. H. Noble , U. D. Jentschura

The properties of the quantum universe on extremely small spacetime scales are studied in the semi-classical approach to the well-defined quantum model. It is shown that near the initial cosmological singularity point quantum gravity…

General Relativity and Quantum Cosmology · Physics 2010-04-30 V. E. Kuzmichev , V. V. Kuzmichev

In this thesis we are interested in understanding how Lorentz symmetry violation can affect some features of fermion dynamics and, perhaps, help to solve some well-known problems in particle physics, such as the origin of neutrino masses…

High Energy Physics - Phenomenology · Physics 2016-12-28 Julio Leite

The current paper is dedicated to developing a (3+1) decomposition for the minimal gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and we focus on the background fields known in the literature as $u$…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Carlos M. Reyes , Marco Schreck

We describe a refined version of a previous proposal for the exploration of quantum gravity phenomenology. Unlike the original scheme, the one presented here is free from sign ambiguities while it shares with the previous one the essential…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Yuri Bonder , Daniel Sudarsky

Starting with the modified Dirac equations for free massive particles with the $\gamma_5$-extension of the physical mass $m\rightarrow m_1 + \gamma_5 m_2$, we consider equations of relativistic quantum mechanics in the presence of an…

High Energy Physics - Theory · Physics 2014-04-03 V. N. Rodionov

We find a nontrivial regime of spinfoam quantum gravity that reproduces classical Einstein equations. This is the double scaling limit of small Immirzi parameter (gamma), large spins (j) with physical area (gamma times j) constant. In…

General Relativity and Quantum Cosmology · Physics 2013-04-30 Elena Magliaro , Claudio Perini

Canonical methods can be used to construct effective actions from deformed covariance algebras, as implied by quantum-geometry corrections of loop quantum gravity. To this end, classical constructions are extended systematically to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Martin Bojowald , George M. Paily

Each approach to the quantum-gravity problem originates from expertise in one or another area of theoretical physics. The particle-physics perspective encourages one to attempt to reproduce in quantum gravity as much as possible of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giovanni Amelino-Camelia

The new manifestation of conformal invariance for a massless scalar particle in a Riemannian spacetime of general relativity is found. Conformal transformations conserve the Hamiltonian and wave function in the Foldy-Wouthuysen…

Mathematical Physics · Physics 2013-08-07 Alexander J. Silenko

The degree of freedom of the scalar field in scalar-tensor gravity is employed as "time" to deparametrize the Hamiltonian constraint of the theory. The deparametrized system is then nonperturbatively quantized by the approach of loop…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Faqiang Yuan , Haida Li , Shengzhi Li , Yongge Ma

Recently, Chamseddine and Mukhanov introduced a higher-derivative scalar-tensor theory which leads to a modified Friedmann equation allowing for bouncing solutions. As we note in the present work, this Friedmann equation turns out to…

General Relativity and Quantum Cosmology · Physics 2017-12-13 David Langlois , Hongguang Liu , Karim Noui , Edward Wilson-Ewing

We consider the effective theory of perturbative quantum gravity coupled to a point particle, quantizing fluctuations of both the gravitational field and the particle's position around flat space. Using a recent relational approach to…

High Energy Physics - Theory · Physics 2022-02-02 M. B. Fröb , C. Rein , R. Verch

Using the reconstruction method, we investigate which $F(R)$ theories, with or without the presence of matter fluids, can produce the matter bounce scenario of holonomy corrected Loop Quantum Cosmology. We focus our study in two limits of…

General Relativity and Quantum Cosmology · Physics 2015-01-07 S. D. Odintsov , V. K. Oikonomou

Recently it was proposed to use cavity-optomechanical systems to test for quantum gravity corrections to quantum canonical commutation relations [Nat. Phys. 8, 393-397 (2012)]. Improving the achievable precision of such devices represents a…

Quantum Physics · Physics 2018-07-09 Shreya P. Kumar , Martin B. Plenio

An algebraic framework was introduced in our previous works to address the covariance issue in spherically symmetric effective quantum gravity. This paper extends the framework to the electrovacuum case with a cosmological constant. After…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Jinsong Yang , Cong Zhang , Yongge Ma
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