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The paper treats the issue of the length of a rotating circumference as seen from on board the moving disk and from an inertial reference frame. It is shown that, properly defining a measuring process, the result is in both cases 2piR thus…

Classical Physics · Physics 2009-10-31 Angelo Tartaglia

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

We study the Dewan-Beran-Bell thought experiment of two spaceships connected by a thread that start accelerated motion and discuss the proper length of the thread by means of Born's definition of proper length for arbitrary motion.

Classical Physics · Physics 2021-05-12 Jesús Ceresuela , Josep Llosa

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

General Physics · Physics 2008-09-24 Valery P. Dmitriyev

The purpose of this letter is to show, on the one hand, how the so-called train paradox could be resolved directly without appealing to non-linear Lorentz transformations. The resolution is established in the most general case of…

Mathematical Physics · Physics 2009-11-10 M. Azreg-Ainou

This manuscript presents a problem on special relativity theory (SRT) which embodies an apparent paradox relying on the concept of simultaneity. The problem is represented in the framework of Greek epic poetry and structured in a didactic…

History and Philosophy of Physics · Physics 2013-10-25 Fabrice Leardini

Demonstrations of quantum entanglement which confirm the violation of Bell's inequality indicate that under certain conditions action at a distance is possible. This consequence seems to contradict the relativistic principle of causality,…

Quantum Physics · Physics 2018-11-02 Yoram Kirsh

Solving special relativity paradoxes requires rigorous analysis of event timing, due to relative simultaneity in consequence of the Lorentz transformation. Since clock synchronisation is a convention in special theory of relativity, instead…

Classical Physics · Physics 2012-12-04 Jacek Ciborowski , Marta Wlodarczyk

We show that the equation of motion for a rigid one-dimensional elastic body (i.e. a rod or string whose speed of sound is equal to the speed of light) in a two-dimensional spacetime is simply the wave equation. We then solve this equation…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Jose Natario

In this work, the relativistic phenomena of Lorentz contraction and time dilation are derived using a modified distance formula appropriate for discrete space. This new distance formula is different than Pythagoras's theorem but converges…

General Relativity and Quantum Cosmology · Physics 2018-10-10 David Crouse , Joseph Skufca

In the normal presentation of the EPR problem a comparison is made between the (weak) Copenhagen interpretation of quantum mechanics which seems to suggest that at times action at a distance may take place, and the hidden parameter…

Quantum Physics · Physics 2007-05-23 Paul O'Hara

We investigate and solve in the context of General Relativity the apparent paradox which appears when bodies floating in a background fluid are set in relativistic motion. Suppose some macroscopic body, say, a submarine designed to lie just…

General Relativity and Quantum Cosmology · Physics 2009-11-10 George E. A. Matsas

In the rod and hole paradox as described by Rindler (1961 Am. J. Phys. 29 365-6), a rigid rod moves at high speed over a table towards a hole of the same size. Observations from the inertial frames of the rod and slot are widely different.…

Classical Physics · Physics 2008-09-11 Chandru Iyer , G. M. Prabhu

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a…

Classical Physics · Physics 2021-11-02 Biplab Raychaudhuri , Souvik Ghose , Arunabha Bhadra

Although many papers have appeared on the theory of photographing relativistically moving objects, pioneered by the classic work of Penrose and Terrell, three problems remain outstanding. (1) There does not seem to exist a general formula…

Classical Physics · Physics 2007-05-23 E. B. Manoukian , S. Sukkhasena

In this article, we present several apparent paradoxes of special relativity and their respective solutions. These paradoxes have appeared since the advent of relativity in 1905, and in fact they are never paradoxes. From a didactic point…

Popular Physics · Physics 2023-07-13 G. Alencar , J. Macedo , L. Maranhão , P. Carneiro

The gedanken experiment of the clock paradox is solved exactly using the general relativistic equations for a static homogeneous gravitational field. We demonstrate that the general and special relativistic clock paradox solutions are…

Classical Physics · Physics 2009-11-11 Preston Jones , Lucas F. Wanex

Relativistic kinematics is usually considered only as a manifestation of pseudo-Euclidean (Lorentzian) geometry of space-time. However, as it is explicitly stated in General Relativity, the geometry itself depends on dynamics, specifically,…

Classical Physics · Physics 2020-04-17 Moses Fayngold

Lorentz Transformation is reinterpreted. It is shown that by admitting the existence of a frame of reference with synchronized clocks, we conclude that any other frame of reference that moves related to the first has desynchronized clocks.…

General Physics · Physics 2007-05-23 Rodrigo de Abreu

The Ehrenfest paradox for a rotating ring is examined and a kinematic resolution, within the framework of the special theory of relativity, is presented. Two different ways by which a ring can be brought from rest to rotational motion,…

General Relativity and Quantum Cosmology · Physics 2024-01-25 Jitendra Kumar