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We survey the role of stable clocks in general relativity. Clock comparisons have provided important tests of the Einstein Equivalence Principle, which underlies metric gravity. These include tests of the isotropy of clock comparisons…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clifford M. Will

Several new ideas related to Special and General Relativity are proposed. The black-box method is used for the synchronization of the clocks and the space axes between two inertial systems or two accelerated systems and for the derivation…

Classical Physics · Physics 2010-08-23 Yaakov Friedman

A logic of reciprocity between inertial frames in relative uniform motion is investigated. Relativity allows any reference frame to apply Lorentz Transformation while reciprocity would require the relative frame to use Inverse…

Mathematical Physics · Physics 2007-05-23 Chao Y. Yang

The time delay between the receptions of ultra-relativistic particles emitted simultaneously is a useful observable for both fundamental physics and cosmology. The expression of the delay when the particles travel through an arbitrary…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Pierre Fleury

In this paper we treat the so called clock paradox in an analytical way by assuming that a constant and uniform force F of finite magnitude acts continuously on the moving clock along the direction of its motion assumed to be rectilinear.…

Classical Physics · Physics 2007-05-23 Lorenzo Iorio

When introducing special relativity, an elegant connection to familiar rules governing Galilean constant acceleration can be made, by describing first the discovery at high speeds that the clocks (as well as odometers) of different…

General Relativity and Quantum Cosmology · Physics 2009-09-25 P. Fraundorf

The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts…

Astrophysics of Galaxies · Physics 2012-02-15 Alan Cooney , Dimitrios Psaltis , Dennis Zaritsky

In \cite{2} it was shown that Einstein's special theory of relativity and Maxwell's field theory have mathematically equivalent dual versions. The dual versions arise from an identity relating observer time to proper time as a contact…

General Physics · Physics 2022-08-24 Tepper L. Gill , Gonzalo Ares de Parga , Trey Morris , Mamadou Wade

Quantum reference frames have attracted renewed interest recently, as their exploration is relevant and instructive in many areas of quantum theory. Among the different types, position and time reference frames have captivated special…

Quantum Physics · Physics 2024-03-12 Michael Suleymanov , Ismael L. Paiva , Eliahu Cohen

The established way of looking at special relativity is based on Einstein postulates: the principle of relativity and the constancy of the velocity of light. In the most general geometric approach to the theory of special relativity, the…

Classical Physics · Physics 2020-07-20 Evgeny Saldin

We consider a clock 'paradox' framework where an observer leaves an inertial frame, is accelerated and after an arbitrary trip comes back. We discuss a simple equation that gives, in the 1+1 dimensional case, an explicit relation between…

Classical Physics · Physics 2007-05-23 E. Minguzzi

We present a relativistic space-time diagram that displays in true magnitudes the readings (daytimes) of two inertial reference frames clocks. One reference frame is the rest frame for one clock. This diagram shows that two events…

General Physics · Physics 2008-12-04 Bernhard Rothenstein , Stefan Popescu , George J. Spix

I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giovanni Amelino-Camelia

The paper presents an attempt to suggest an alternative way of considering the fundamentals of Einstein's special relativity theory. Its formulation based on introducing an inertial reference system by rigid linking of clocks to a free…

Quantum Physics · Physics 2007-05-23 Ruvin Ferber

In the framework of special relativity, all particles are point-like or string-like. This nature of particles has caused the divergence difficulties in quantum field, string and superstring theories. In the framework of special relativity,…

General Physics · Physics 2007-05-23 Jian-Miin Liu

We consider the twin paradox of special relativity in a universe with a compact spatial dimension. Such topology allows two twin observers to remain inertial yet meet periodically. The paradox is resolved by considering the relationship of…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Dhruv Bansal , John Laing , Aravindhan Sriharan

We present the theory of special relativity here through the lens of differential geometry. In particular, we explicitly avoid any reference to hypotheses of the form "The laws of physics take the same form in all inertial reference frames"…

History and Philosophy of Physics · Physics 2018-12-11 Amitabh Basu

The velocity of light is invariant under transformations that alter space-time metrics, while leaving Maxwell's equations invariant. A one-parameter special conformal invariance group of the equations exposes an ambiguity in current…

Mathematical Physics · Physics 2013-03-14 Carl E. Wulfman

Phenomena of wave propagation in dynamically varying structures have reemerged as the temporal variations of the medium's properties can extend the possibilities for electromagnetic wave manipulation. While the dynamical change of the…

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
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