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A calculus based on pointer-mark coincidences is proposed to define, in a mathematically rigorous way, measurements of space and time intervals. The connection between such measurements in different inertial frames according to the Galilean…

综合物理 · 物理学 2011-10-26 J. H. Field

We consider transformations between uniformly accelerated systems, assuming that the Clock Hypothesis is false. We use the proper velocity-time description of events rather than the usual space-time description in order to obtain linear…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Yaakov Friedman , Yuriy Gofman

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,…

综合数学 · 数学 2024-04-10 Satyanad Kichenassamy

In the present study, we analyze in combination the principles of special relativity and the phenomenon of the aberration of light, deriving a system of equations that allows establishing the relationship between the angles commonly…

科普物理 · 物理学 2021-10-28 Diego Roldan , Rodrigo Sempertegui , Francisco Roldan

In special relativity a gyroscope that is suspended in a torque-free manner will precess as it is moved along a curved path relative to an inertial frame S. We explain this effect, which is known as Thomas precession, by considering a real…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Rickard Jonsson

We investigate the effects of the aberration of light for a uniformly accelerating observer. The observer we consider is initially at rest with respect to a luminous spherical object--a star, say--and then starts to move away with constant…

经典物理 · 物理学 2009-11-13 Robert Beig , J. Mark Heinzle

We highlight the correspondence between one-dimensional Lorentz transformations, which relate events observed from two distinct inertial reference frames, and ray transfer transformations in Gaussian optics. Specifically, we identify…

光学 · 物理学 2026-01-22 M. A. Bouchene

Special relativity theory is generalized to two or more ``maximal'' signalling speeds. This framework is discussed in three contexts: (i) as a scenario for superluminal signalling and motion, (ii) as the possibility of two or more ``light''…

经典物理 · 物理学 2007-05-23 Karl Svozil

The theory of special relativity can be generalized by means of a new principle called Conservation of Information. This allows a derivation of the constancy of the velocity of light with respect to moving frames, and, consequently, of…

经典物理 · 物理学 2008-02-05 C. Pombo , Th. M. Nieuwenhuizen

We begin with a scenario that involves point-like observers starting at t=0 from the origin O of an inertial reference frame. They move with all possible proper accelerations in the positive direction of the OX axis. Equipped with light…

综合物理 · 物理学 2008-12-02 Bernhard Rothenstein , Stefan Popescu

Pull is a jet observable that is sensitive to color flow between dipoles. It has seen wide use for discrimination of particles with similar decay topologies but carrying different color representations and has been measured on W bosons from…

高能物理 - 唯象学 · 物理学 2019-05-22 Andrew J. Larkoski , Simone Marzani , Chang Wu

A new method of derivation of Lorentz Transformation (LT) is given based on both axioms of special relativity (SR) and physical intuitions. The essence of the transformation is established and the crucial role played by the presumptions is…

综合物理 · 物理学 2015-06-16 Farid Shahandeh

In the framework of brane models the postulates of special relativity theory is revised. It is assumed that there exists preferred frame and relativity principle is violated on the brane. Because of trapping any moving object on the brane…

高能物理 - 理论 · 物理学 2007-05-23 Merab Gogberashvili

We review the derivation of the metric for a spinning body of any shape and composition using linearized general relativity theory, and also obtain the same metric using a transformation argument. The latter derivation makes it clear that…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. J. Adler , A. S. Silbergleit

The goal of response theory, in each of its many statistical mechanical formulations, is to predict the perturbed response of a system from the knowledge of the unperturbed state and of the applied perturbation. A new recent angle on the…

混沌动力学 · 物理学 2023-08-02 Umberto Maria Tomasini , Valerio Lucarini

We can think of a lensed quasar as taking the Hubble time, shrinking it by \~10^{-11}, and then presenting the result to us as a time delay; the shrinking factor is of the order of fractional sky-area that the lens occupies. This cute fact…

天体物理学 · 物理学 2009-11-10 Prasenjit Saha

The visualisation of objects moving at relativistic speeds has been a popular topic of study since Special Relativity's inception. While the standard exposition of the theory describes certain shape-changing effects, such as the…

经典物理 · 物理学 2021-03-17 E. C. Cryer-Jenkins , P. D. Stevenson

We present a space-time diagram that displays in true values the space- time coordinates of events associated with the apparent and actual positions of a point like source moving with constant velocity. We use it in order to construct the…

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein , Stefan Popescu , George J. Spix

We demonstrate the definition of basic observables from physical operations, the key to overcome hidden stumbling blocks and apparent paradoxes from unscrutinized (classical) formalisms. We develop Helmholtz program of basic measurements…

广义相对论与量子宇宙学 · 物理学 2015-12-04 Bruno Hartmann

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

天体物理学 · 物理学 2009-11-07 Simonetta Frittelli