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Relying on the equivalence principle, a first approach of the general theory of relativity is presented using the spacetime metric of an observer with a constant proper acceleration. Within this non inertial frame, the equation of motion of…

物理教育 · 物理学 2007-05-23 Claude Semay

After having shown that the corresponding components of a four vector transform via the same transformation factors as the space-time coordinates of the same event do, we design a relativistic diagram that displays in true values theirs…

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

Every spacetime is defined by its metric, the mathematical object which further defines the spacetime curvature. From the relativity principle, we have the freedom to choose which coordinate system to write our metric in. Some coordinate…

广义相对论与量子宇宙学 · 物理学 2021-04-22 Joshua Baines

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

广义相对论与量子宇宙学 · 物理学 2022-07-19 J. J. Relancio

The concepts of primary and reciprocal experiments and base and travelling frames in special relativity are concisely described and applied to several different space-time experiments. These include Einstein's train/embankment thought…

综合物理 · 物理学 2011-11-14 J. H. Field

First, we extend the special relativity into the superluminal case and put forward a superluminal theory of kinematics, in which we show that the temporal coordinate need exchanging with one of the spatial coordinates in a superluminal…

综合物理 · 物理学 2009-07-22 Z. C. Tu , Z. Y. Wan

While adhering to the formalism of Special and General Relativity, this paper considers the interpretation of clock rates and the rating of clocks in detail. We also pay particular attention to the crucial requirement of reciprocity between…

综合物理 · 物理学 2009-04-21 Barrie Tonkinson

Theory of Relativity (Special and General) is one of the most influential theories of the 20th century and has changed the way we view the world. It is part of many undergraduate curriculums and it is often suggested that it should be…

物理教育 · 物理学 2023-11-17 Dimitrios Gousopoulos , Efstratios Kapotis , George Kalkanis

It is rarely emphasized in modern physics textbooks that our definitions of space and time have to reflect their complete interdependence. Our intuitive methods of always picturing one-dimensional space as a sum of unit-length rods and of…

综合物理 · 物理学 2008-07-03 Ibrahim M. Al Abdulmohsin

This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory.…

数学物理 · 物理学 2010-09-17 Tepper L. Gill , Woodford W. Zachary

We show that the transformation of relativistic velocities derived without using the Lorentz-Einstein transformation for the space-time coordinates of the same event and the fact that we can define the proper value of length, time interval,…

综合物理 · 物理学 2008-12-04 Bernhard Rothenstein

The magnetic field is traditionally presented as a (pseudo)vector quantity, tied closely to the cross product. Though familiar to experts, many students find these ideas challenging and full of subtleties. Building on earlier work in…

物理教育 · 物理学 2024-11-26 Steuard Jensen

We discuss the most general form of the Lorentz transformation in 1+1 dimensional spacetime, focusing mainly on its superluminal branch. For this purpose, we introduce the 2-velocity of a reference frame and the clockwork postulate. Basic…

综合物理 · 物理学 2025-10-17 Bogdan S. Damski

We discuss the twin paradox or the clock paradox under the small velocity approximation of special relativity. In this paper the traveller twin of the standard twin parable sets out with a non-relativistic speed for the trip leaving behind…

广义相对论与量子宇宙学 · 物理学 2007-05-23 S. K. Ghosal , Saroj Nepal , Debarchana Das

We introduce observables associated with the space-time position of a quantum point defined by the intersection of two light pulses. The time observable is canonically conjugated to the energy. Conformal symmetry of massless quantum fields…

量子物理 · 物理学 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

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…

经典物理 · 物理学 2012-12-04 Jacek Ciborowski , Marta Wlodarczyk

Is time travel possible? What is Einstein's theory of relativity mathematically predicting in that regard? Is time travel related to the so-called clock 'paradoxes' of relativity and if so how? Is there any accurate experimental evidence of…

广义相对论与量子宇宙学 · 物理学 2017-03-22 Ignazio Ciufolini

We attempt to see how closely we can formally obtain the planetary and light path equations of General Relativity by employing certain operations on the familiar Newtonian equation. This article is intended neither as an alternative to nor…

广义相对论与量子宇宙学 · 物理学 2009-11-11 K. K. Nandi , N. G. Migranov , J. C. Evans , M. K. Amedeker

This is a short note to announce the availability of some movies that may be useful in classroom discussions on the photographic appearance of objects moving at relativistic speeds. The images are based on special relativity with no account…

物理教育 · 物理学 2007-05-23 Leo Brewin

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

综合物理 · 物理学 2007-10-17 Bernhard Rothenstein , Stefan Popescu