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Formal definition of the reference frame is given. This definition is valid for nonrelativistic and relativistic cases. Proposed definition allows using wide classes of reference frames without restriction to inertial, uniformly accelerated…

Classical Physics · Physics 2014-03-10 Oleg Igorevich Drivotin

We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the description of N positive energy particles in the framework of parametrized Minkowski theories. Then we define a multi-temporal quantization scheme…

High Energy Physics - Theory · Physics 2009-11-11 David Alba , Luca Lusanna

Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Ranchhaigiri Brahma , A. K. Sen

Slowly rotating collapsing spherical shells have flat spaces inside and the inertial frames there rotate at omega_s(t) relative to infinity. As first shown by Lindblom & Brill the inertial axes within the shell rotate rigidly without time…

Astrophysics · Physics 2009-10-30 J. Katz , D. Lynden-Bell , J. Bicak

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

In axistationary asymptotically flat spacetimes zero angular momentum observers (ZAMOs) define an absolute standard of non--rotation locally, as can be verified by the absence of any Sagnac effect for these observers. Nevertheless, we argue…

General Relativity and Quantum Cosmology · Physics 2023-03-10 S. Braeck

We discuss the electromagnetic measurements of rotating observers and study the propagation of electromagnetic waves in a uniformly rotating frame of reference. The phenomenon of helicity-rotation coupling is elucidated and some of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John C. Hauck , Bahram Mashhoon

We study the properties of entanglement entropy among scattering particles as observed from different inertial moving frames, based on an exemplary QED process $e^+e^-\rightarrow\mu^+\mu^-$. By the explicit calculation of the Wigner…

High Energy Physics - Theory · Physics 2018-01-31 Jinbo Fan , Xinfei Li

We define a new parameter `cumulative drag index' for a particle in circular orbit in a stationary, axisymmetric gravitational field and study its behaviour in the two well known solutions of general relativity {\it viz.}, the Kerr…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. R. Prasanna

The Unruh effect predicts that a uniformly accelerated observer perceives the vacuum seen by an inertial observer as a thermal bath at a temperature proportional to its proper acceleration. This phenomenon is often regarded as a flat…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Yuebing Zhou , Jiawei Hu , Hongwei Yu

Although there is no relative motion among different points on a rotating disc, each point belongs to a different noninertial frame. This fact, not recognized in previous approaches to the Ehrenfest paradox and related problems, is…

General Relativity and Quantum Cosmology · Physics 2014-11-17 H. Nikolic

It is well known that the rotational motion does not induce Unruh effect, because the Minkowski vacuum coincides with the vacuum state defined by the pure rotating observers. However, are there Rindler particles carrying orbital angular…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Zhigang Bu , Liangliang Ji , Baifei Shen

The homogeneous and isotropic radiation dominated universe, following the inflationary stage, is expressed as a spherically symmetric and inhomogeneous spacetime upon a power law type conformal transformation of the null (cosmological)…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Sujoy K. Modak

An angular momentum operator in loop quantum gravity is defined using spherically symmetric states as a non-rotating reference system. It can be diagonalized simultaneously with the area operator and has the familiar spectrum. The operator…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

The frame-dragging phenomenon in gravitational fields is revisited to explore the geometric effects induced by spacetime curvature. We quantize a massless scalar field in the spacetime of a rotating sphere, incorporating the frame-dragging…

General Relativity and Quantum Cosmology · Physics 2024-08-26 Rui-Chen Liu , C. P. Sun

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov

By using the 3+1 point of view and parametrized Minkowski theories we develop the theory of {\it non-inertial} frames in Minkowski space-time. The transition from a non-inertial frame to another one is a gauge transformation connecting the…

General Relativity and Quantum Cosmology · Physics 2008-12-17 David Alba , Luca Lusanna

If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz…

High Energy Physics - Theory · Physics 2013-05-30 Maulik Parikh , Prasant Samantray , Erik Verlinde

The behaviour of quantum systems in non-inertial frames is revisited from the point of view of affine coherent state (ACS) quantization. We restrict our approach to the one-particle dynamics confined in a rotating plane about a fixed axis.…

Quantum Physics · Physics 2017-08-10 J. -P. Gazeau , T. Koide , R. Murenzi

The appearance of the inertial vacuum state in Rindler frame has been extensively studied in the literature, both from the point of view of QFT developed using Rindler foliation and using the response of an Unruh-Dewitt Detector (UDD). In…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Kinjalk Lochan , T. Padmanabhan