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The topic of quantum reference frames (QRFs) has attracted a great deal of attention in the recent literature. Potentially, the correct description of such frames is important for both the technological applications of quantum mechanics and…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Matthew J. Lake , Marek Miller

An accelerating Rindler frame in Minkowski spacetime acting for a finite time interval is used to carry a box of particles or waves between two relativistic inertial frames. The finite spatial extent of the box allows treatment of the…

Classical Physics · Physics 2026-01-19 Timothy H Boyer

It is well known that simultaneity within an inertial frame is defined in relativity theory by a convention or definition. This definition leads to different simultaneities across inertial frames and the well known principle of relativity…

General Physics · Physics 2022-04-27 Chandru Iyer , G. M. Prabhu

We consider the concept of a rotating reference frame with the axis of rotation at each point and the applicability of this concept to different areas of physics. The transformation for the transition from the resting to rotating frame is…

General Physics · Physics 2013-11-12 B. V. Gisin

A covariant reformulation of General Relativity is briefly considered from three points of view: geometrodynamics, Lagrange-Euler field theory, and gauge field theory. From a geometrodynamics perspective, a definition of the reference frame…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexander Poltorak

In general relativity, the description of spacetime relies on idealised rods and clocks, which identify a reference frame. In any concrete scenario, reference frames are associated to physical systems, which are ultimately quantum in…

Quantum Physics · Physics 2021-07-28 Flaminia Giacomini

After a short review of experimental foundations of metric theories of gravity, the choice of general relativity as a theory to be used for the routine modeling of Gaia observations is justified. General principles of relativistic modeling…

Astrophysics · Physics 2007-05-23 Sergei A. Klioner

Symmetries are a central concept in our understanding of physics. In quantum theories, a quantum reference frame (QRF) can be used to distinguish between observables related by a symmetry. The framework of operational QRFs provides a means…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Daan W. Janssen

In the extensive literature dealing with the relativistic phenomenon of Thomas rotation several methods have been developed for calculating the Thomas rotation angle of a gyroscope along a circular world line. One of the most appealing…

Mathematical Physics · Physics 2009-11-11 T. Matolcsi , M. Matolcsi , T. Tasnádi

Reference frames are used to parameterize measurements of physical effects, but since their practical realization uses material objects, they may affect observations performed in a combined quantum state of the measured system together with…

Quantum Physics · Physics 2025-07-14 Martin Bojowald , Luis Martinez

Even in the presence of conservation laws, one can perform arbitrary transformations on a system if given access to a suitable reference frame, since conserved quantities may be exchanged between the system and the frame. Here we explore…

Quantum Physics · Physics 2020-09-02 Sandu Popescu , Ana Belén Sainz , Anthony J. Short , Andreas Winter

We show that appropriate superpositions of motional states are a reference frame resource that enables breaking of time -reversal superselection so that two parties lacking knowledge about the other's direction of time can still…

Quantum Physics · Physics 2009-10-20 Gilad Gour , Barry C. Sanders , Peter S. Turner

We discuss how the finiteness and universality of the speed of light arise in the theoretical framework introduced in [1], and derive generalized coordinate transformations, that allow to investigate physical systems in a non-classical…

General Physics · Physics 2009-11-04 Andrea Gregori

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

The internal state of a composite particle and its transformation, when changing from the reference frame, where this composite particle is at rest, to a reference frame, where it moves relativistically, have been considered. It is supposed…

This paper introduces a new object called the momentum tensor. Together with the velocity tensor it forms a basis for establishing the tensorial picture of classical and relativistic mechanics. Some properties of the momentum tensor are…

General Physics · Physics 2011-02-07 Tomasz Lanczewski

Relativistic rotation is considered in the limit of angular velocity approaching zero and radial distance approaching infinity, such that centrifugal acceleration is immeasurably small while tangent velocity remains close to the speed of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert D. Klauber

The class of accelerated reference frames has been studied, on the basis of Fermi-Walker coordinates; both in the cases of uniform and arbitrary accelerations. In the first case, explicit formulae for the transformation of coordinates have…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Josep Llosa

Maxwell's equations are formulated in arbitrary moving frames by means of tetrad fields, which are interpreted as reference frames adapted to observers in space-time. We assume the existence of a general distribution of charges and currents…

Classical Physics · Physics 2010-12-01 J. W. Maluf , S. C. Ulhoa

In standard textbooks of college physics, the Work Energy Theorem is usually presented for inertial frames of references and it is clear that energy is conserved when there is not net work of interaction forces. But what happens when energy…

Classical Physics · Physics 2011-01-04 D. M. Fernández , M. F. Carusela , C. D. El Hasi