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It is common to use Galilean rotational transformation to investigate the Unruh effect for uniformly rotating observers. However, the rotating observer in this subject is an eccentric observer while Galilean rotational transformation is…

General Relativity and Quantum Cosmology · Physics 2017-11-28 H. Ramezani-Aval

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Hajime Sotani

We argue that the account of Reference Frames quantum properties must change the standard space-time picture accepted in Quantum Mechanics. If RF is connected with some macroscopic solid object then its free quantum motion - wave packet…

High Energy Physics - Theory · Physics 2008-02-03 S. Mayburov

Aharonov-Kaufherr model of quantum space-time which accounts Reference Frames (RF) quantum effects is considered in Relativistic Quantum Mechanics framework. For RF connected with some macroscopic object its free quantum motion - wave…

Quantum Physics · Physics 2007-05-23 S. Mayburov

We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field (ZPF), with the purpose of revealing the mechanism that takes it from the initially classical description to the final…

Quantum Physics · Physics 2022-03-23 Ana María Cetto , Luis de la Peña

The Planck spectrum of thermal scalar radiation is derived suggestively within classical physics by the use of an accelerating coordinate frame. The derivation has an analogue in Boltzmann's derivation of the Maxwell velocity distribution…

Classical Physics · Physics 2012-07-25 Timothy H. Boyer

I tell about different mathematical tool that is important in general relativity. The text of the book includes definition of geometrical object, concept of reference frame, geometry of metric-affinne manifold. Using this concept I learn…

Mathematical Physics · Physics 2019-11-19 Aleks Kleyn

Mach's principle applied to rotation can be correct if one takes into account the rotation of the quantum vacuum together with the Universe. Whether one can detect the rotation of the vacuum or not depends on its properties. If the vacuum…

General Relativity and Quantum Cosmology · Physics 2015-10-28 G. Jannes , G. E. Volovik

The closed, k=1, FRW model coupled to a massless scalar field is investigated in the framework of loop quantum cosmology using analytical and numerical methods. As in the k=0 case, the scalar field can be again used as emergent time to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abhay Ashtekar , Tomasz Pawlowski , Parampreet Singh , Kevin Vandersloot

Gyroscopic systems in classical and quantum field theory are characterized by the presence of at least two scalar degrees of freedom and by terms that mix fields and their time derivatives in the quadratic Lagrangian. In Minkowski…

High Energy Physics - Theory · Physics 2022-11-15 Denis Comelli , Maicol Di Giambattista , Luigi Pilo

A new thermodynamic analysis is presented for the intimate connections between blackbody radiation and zero-point radiation within classical physics. First, using the thermodynamic behavior of an oscillator under an adiabatic change of…

Classical Physics · Physics 2007-05-23 Timothy H. Boyer

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time…

High Energy Physics - Theory · Physics 2007-05-23 S. N. Mayburov

We study classical radiation and quantum bremsstrahlung effect of a moving point scalar source. Our classical analysis provides another example of resolving a well-known apparent paradox, that of whether a constantly accelerating source…

High Energy Physics - Theory · Physics 2011-08-17 Hai Ren , Erick J. Weinberg

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

General Mathematics · Mathematics 2024-04-10 Satyanad Kichenassamy

We present an exact treatment of the influences on a quantum scalar field in its Minkowski vacuum state induced by coupling of the field to a uniformly accelerated harmonic oscillator. We show that there are no radiation from the oscillator…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hyeong-Chan Kim

In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

General Physics · Physics 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva

This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial…

A theoretical framework for emission originating from rapidly rotating oblate compact objects is described in detail. By using a Hamilton-Jacobi formalism, we show how the special relativistic rotational effects such as aberration of…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Joonas Nättilä , Pauli Pihajoki

We investigate the three-dimensional, general relativistic Poynting-Robertson effect in the case of rigidly rotating spherical source which emits radiation radially in the local comoving frame. Such radiation field is meant to approximate…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Pavel Bakala , Vittorio De Falco , Emmanuele Battista , Kateřina Goluchová , Debora Lančová , Maurizio Falanga , Luigi Stella

In this letter, we investigate the nonrelativistic quantum motion of a charged particle within a rotating frame, taking into account the Aharonov-Bohm (AB) effect and a uniform magnetic field. Our analysis entails the derivation of the…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Frankbelson dos S. Azevedo , Luís Fernando C. Pereira , Edilberto O. Silva