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This study explores an alternative approach to video-based motion analysis using natural reference frames rather than relying on manual alignment. We demonstrate how the motion data itself can reveal optimal reference frames, connecting…

Physics Education · Physics 2025-02-18 Fernando Saliby

We define a Frame of reference as a two ingredients concept: A meta-rigid motion, which is a generalization of a Born motion, and a chorodesic synchronization, which is an adapted foliation. At the end of the line we uncover a low-level…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ll. Bel

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

We show that the emission of a Minkowski particle by a general class of scalar sources as described by inertial observers corresponds to either the emission or the absorption of a Rindler particle as described by uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2009-10-28 George E. A. Matsas

The equivalence principle is a perennial subject of controversy, especially in connection with radiation by a uniformly accelerated classical charge, or a freely falling charge observed by a supported detector. Recently, related issues have…

Quantum Physics · Physics 2019-09-05 S. A. Fulling , J. H. Wilson

In a recent paper we discussed when it is possible to define reference frames nonrotating with respect to distant inertial reference objects (extension of the IAU reference systems to exact general relativity), and how to construct them. We…

General Relativity and Quantum Cosmology · Physics 2026-04-03 L. Filipe O. Costa , Francisco Frutos-Alfaro , José Natário , Michael Soffel

We construct an effective model for gravity of a central object at large scales. To leading order in the large radius expansion we find a cosmological constant, a Rindler acceleration, a term that sets the physical scales and subleading…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-02 Daniel Grumiller

In the context of special relativity, we describe with detail the Doppler effect between a light source at rest and an observer in linear motion and constant proper acceleration. To have an Englis version of this article, ask the authors.…

Classical Physics · Physics 2008-08-04 F M Paiva , A F F Teixeira

In this paper we study the occurrence of accelerating universe versus decelerating universe between the F(R) gravity frame (Jordan frame) and non-minimally coupled scalar field theory frame, and the minimally coupled scalar field theory…

General Relativity and Quantum Cosmology · Physics 2017-01-17 Sebastian Bahamonde , Sergei D. Odintsov , V. K. Oikonomou , Petr V. Tretyakov

The relation among instantaneous, mean and average velocities in one-dimensional motion with constant acceleration is studied. It was shown that the instant velocity evaluated in the time $t_{p}=\left(t_2+t_1\right)/2$ is similar to the…

Physics Education · Physics 2013-03-29 Paco Talero , Orlando Organista , Luis H. Barbosa

Reference frame optimization is a generic framework to calculate a spatially-varying observer field that views an unsteady fluid flow in a reference frame that is as-steady-as-possible. In this paper, we show that the optimized vector field…

Fluid Dynamics · Physics 2021-11-03 Holger Theisel , Markus Hadwiger , Peter Rautek , Thomas Theußl , Tobias Günther

We demonstrate a z-axis accelerometer which uses waveguided light to sense proof mass displacement. The accelerometer consists of two stacked rings (one fixed and one suspended above it) forming an optical ring resonator. As the upper ring…

Optics · Physics 2012-03-19 David N. Hutchison , Sunil A. Bhave

We address the old question of whether or not a uniformly accelerated charged particle radiates, and consequently, if weak equivalence principle is violated by electrodynamics. We show that radiation has different meanings; some absolute,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Shariati , M. Khorrami

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , 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

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal…

General Physics · Physics 2015-04-17 Miroslav Pardy

In this paper we give a review of the most general approach to description of reference frames, the monad formalism. This approach is explicitly general covariant at each step, permitting to use abstract representation of tensor quantities;…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikolai V. Mitskievich

Theoretical and observational arguments are listed in favor of a new principle of relativity of units of measurements as the basis of a conformal-invariant unification of General Relativity and Standard Model by replacement of all masses…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Pervushin , V. Zinchuk , A. Zorin

With a special Lorentz-M{\o}ller-Nelson (LMN) transformation found transformation of velocity from the laboratory system S to an accelerated, rotating frame of reference s. The physical sense of parameter entering into the LMN special…

General Relativity and Quantum Cosmology · Physics 2012-06-04 Vitaliy V. Voytik

We present novel, exotic types of frame changes for the calculation of quantum evolution operators. We detail in particular the biframe, in which a physical system's evolution is seen in an equal mixture of two different standard frames at…

Quantum Physics · Physics 2025-10-07 Pierre-Louis Giscard , Omid Faizy , Christian Bonhomme