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We look afresh at the deduction of the "Lorentz contraction" of a "rod" from the Lorentz transformation equations of the special theory of relativity. We show that under special conditions, which include acceleration of the "rod", length…

General Physics · Physics 2009-04-14 Sadanand D Agashe

The special relativistic test theory of Mansouri and Sexl is sketched. Theories based on different clock synchronisations are found to be equivalent to special relativity, as regards experimental results. The conventionality of clock…

General Relativity and Quantum Cosmology · Physics 2007-05-23 François Goy

An intervening galaxy acts as a gravitational lens and produces multiple images of a single source such as a remote galaxy. Galaxies have peculiar speeds in addition to the bulk motion arising due to the expansion of the universe. There is…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-23 Gihan Weerasekara , Thulsi Wickramasinghe , Chandana Jayaratne

The well-known linear Doppler effect arises from the linear motion between source and observer, while the less well-known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments…

Optics · Physics 2019-12-10 Liang Fang , Miles J. Padgett , Jian Wang

Time is a parameter playing a central role in our most fundamental modelling of natural laws. Relativity theory shows that the comparison of times measured by different clocks depends on their relative motions and on the strength of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-05 Pierre Magain , Clémentine Hauret

We consider two non-longitudinal Doppler Effect experiments. The first one involves a stationary source of monochromatic light located at the origin O of the K(XOY) inertial reference frame and an observer R who performs the hyperbolic…

General Physics · Physics 2008-12-02 Stefan Popescu , Bernhard Rothenstein

In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Bahram Mashhoon

We present a new visualization of the proper-time elapsed along an observer's worldline. By supplementing worldlines with light clocks, the measurement of space-time intervals is reduced to the "counting of ticks." The resulting space-time…

Physics Education · Physics 2007-05-23 Roberto B. Salgado

Two thought experiments are described in which ruler measurements of spatial intervals are performed in different reference frames. They demonstrate that such intervals are frame-independent as well as independent of the nature of the…

General Physics · Physics 2013-07-31 J. H. Field

The precision of optical atomic clocks is approaching a regime where they resolve gravitational time dilation on smaller scales than their own extensions. Hence, an accurate description of quantum clocks has to take their spatial extension…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Tupac Bravo , Dennis Rätzel , Ivette Fuentes

Admitting the validity of Lorentz transformations for the space as time coordinates of the same event we derive their differential form in order to underline the correct prerequisites for the application of time and length contraction or…

General Physics · Physics 2008-12-02 Stefan Popescu , Bernhard Rothenstein

We discuss two effects predicted by the general theory of relativity in the context of Rindler accelerated observers: the gravitational spectral shift and the time delay of light. We show that these effects also appear in a Rindler frame in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Formiga , C. Romero

According to relativity, the reading of an ideal clock is interpreted as the elapsed proper time along its classical trajectory through spacetime. In contrast, quantum theory allows the association of many simultaneous trajectories with a…

I propose an alternative, purely kinematical, derivation of Einstein's Doppler formula. It is valid for periodic signals of any shape that propagate with the velocity of light. The formula is asymptotic in a parameter proportional to the…

General Physics · Physics 2009-02-09 Jean Reignier

A general principle of non-equivalence for bodies and observers in different G potentials (GP) was derived from correspondence of the Einstein's equivalence principle either with optical physics or with gravitational experiments in which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Vera

The clock paradox is analyzed for the case when the onward and return trips cover the same <<distance>> (as observed by the traveling twin) but at unequal velocities. In this case the stationary twin observes the distances covered by her…

General Physics · Physics 2008-09-26 Chandru Iyer , G. M. Prabhu

The quantization of time-reparametrization invariant systems such as general relativity is plagued by an ambiguity relating to the role of time in the theory. If one parametrizes observables by the (unobservable) time, and then relies on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steven Weinstein

The peculiarities of rotating frames of reference played an important role in the genesis of general relativity. Considering them, Einstein became convinced that coordinates have a different status in the general theory of relativity than…

Classical Physics · Physics 2010-02-02 Dennis Dieks

An observer, in rectilinear motion under constant proper acceleration, passes near a source of monochromatic radiation at rest. In the context of special relativity, we describe the observed Doppler effect. We describe also the interesting…

General Physics · Physics 2008-10-15 F. M. Paiva , A. F. F. Teixeira

An analysis of composite inertial motion (relativistic sum) within the framework of special relativity leads to the conclusion that every translational motion must be the symmetrically composite relativistic sum of a finite number of quanta…

General Physics · Physics 2007-05-23 Ernst Karl Kunst