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We generalise the entropic force description of gravity into $\kappa$-Minkowski space-time and derive the $\kappa$-deformed corrections to the Newton's gravitational force. Using this we show the appearance of logarithmic correction as the…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Vishnu Rajagopal , Puxun Wu

We discuss astrophysical implications of $\kappa$-Minkowski space-time, in which there appears space-time noncommutativity. We first derive a velocity formula for particles based on the motion of a wave packet. The result is that a massless…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Takashi Tamaki , Tomohiro Harada , Umpei Miyamoto , Takashi Torii

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

In this paper, we investigate the quantum correlations and coherence of two accelerating Unruh-deWitt detectors coupled to a scalar field in 3 + 1 Minkowski space-time. We show that the entanglement is completely destroyed in the limit of…

Quantum Physics · Physics 2022-11-29 S. Bhuvaneswari , R. Muthuganesan , R. Radha

In this paper, we study the thermal time hypothesis of arXiv:gr-qc/9406019 in the context of noncommutative deformations of Minkowski. We show that a natural modular group arises from the modular function of the momentum space. In the…

High Energy Physics - Theory · Physics 2025-02-19 Kilian Hersent

We consider two-level detectors coupled to a scalar field and moving on arbitrary trajectories in Minkowski space-time. We first derive a generic expression for the response function using a (novel) regularization procedure based on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. Obadia , M. Milgrom

We analyze the response of an Unruh-DeWitt detector moving along an unbounded spatial trajectory in a two-dimensional spatial plane with constant independent magnitudes of both the four-acceleration and of a timelike proper time derivative…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Shohreh Abdolrahimi

We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in $(1+1)$-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics…

High Energy Physics - Theory · Physics 2015-08-11 Jorma Louko

We examine an Unruh-DeWitt particle detector that is coupled linearly to the scalar density of a massless Dirac field in Minkowski spacetimes of dimension $d\ge2$ and on the static Minkowski cylinder in spacetime dimension two, allowing the…

General Relativity and Quantum Cosmology · Physics 2016-09-20 Jorma Louko , Vladimir Toussaint

The last decade of research on $\kappa$-Minkowski noncommutative spacetime has been strongly characterized by a controversy concerning the speed of propagation of massless particles. Most arguments suggested that this speed should depend on…

High Energy Physics - Theory · Physics 2011-07-13 Giovanni Amelino-Camelia , Niccoló Loret , Giacomo Rosati

We study the finite temperature Casimir effect for parallel plates in the $\kappa$-Minkowski space-time. Using the Matsubara formalism and imposing the Dirichlet boundary conditions on a massless $\kappa$-scalar field, we compute the…

High Energy Physics - Theory · Physics 2026-02-13 Suman Kumar Panja , Vishnu Rajagopal

We derive a master equation for the reduced density matrix of a uniformly accelerating quantum detector in arbitrary dimensions, generically coupled to a field initially in its vacuum state, and analyze its late time regime. We find that…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Julio Arrechea , Carlos Barceló , Luis J. Garay , Gerardo García-Moreno

In a flat spacetime with one spatial dimension compactified, inertial reference frames are not all equivalent, but there are the preferred ones. This paper investigates the nonequivalence of inertial frames and also that of uniformly…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Dah-Wei Chiou

We analyse the excitations and de-excitations of an inertial Unruh-DeWitt detector in the $(1+1)$-dimensional expanding Milne cosmology with compact spatial sections, coupled to a real massless scalar field with either untwisted or twisted…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Adam S. Wilkinson , Jorma Louko

Anti-de Sitter spacetime and the static patch of de Sitter spacetime are arenas for investigating thermal and finite-size effects seen by an accelerated quantum observer. We consider an Unruh-DeWitt detector in uniform circular motion…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Cameron R. D. Bunney , Jorma Louko

In this work we study the Unruh temperature as arising from tunneling through a barrier for an observer in flat Minkowski spacetime with arbitrary acceleration $a(t)$. For the defining case of constant acceleration $a(t) = a_0$, the Unruh…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Paul M. Alsing

In this work, the notion of spacetime of maximal proper acceleration is motivated as a weak form to implement general covariance and a generalized form of Einstein's equivalence principle from a physical point of view and the fundamental…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Ricardo Gallego Torromé

It is by now well established that the momentum space dual to the non-commutative $\kappa$-Minkowski space is a submanifold of de Sitter space. It has been noticed recently that field theories built on such momentum space suffer from a…

High Energy Physics - Theory · Physics 2010-01-15 M. Arzano , J. Kowalski-Glikman , A. Walkus

We propose an experiment in which the phonon excitation of ion(s) in a trap, with a trap frequency exponentially modulated at rate $\kappa$, exhibits a thermal spectrum with an "Unruh" temperature given by T=hbar*kappa. We discuss the…

Quantum Physics · Physics 2007-05-23 P. M. Alsing , J. P. Dowling , G. J. Milburn

In this paper, we show that the causally connected $4$-dimensional line element of the $\kappa$-deformed Minkowski space-time induces an upper cut-off on the proper acceleration and derive this maximal acceleration, valid up to first order…

High Energy Physics - Theory · Physics 2026-02-09 E. Harikumar , Leela Ganesh Chandra Lakkaraju , Vishnu Rajagopal