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Special relativity turns out to be more than coordinate transformations in which the constancy of the speed of light plays the central role between two inertial reference frames. Special relativity, in essence, is a theory of…

General Physics · Physics 2007-06-13 M. Sultan Parvez

Black holes are more than just odd-looking curiosities in gravity theory. They uniquely intertwine the basic principles of General Relativity with those of Quantum Theory. Just by demanding that they nevertheless obey acceptable laws of…

General Relativity and Quantum Cosmology · Physics 2022-11-28 Gerard t Hooft

An explicit example is found showing how a modified theory of gravity can be constrained with the ringdown signals from merger of binary black holes. This has been made possible by the fact that the modified gravitational theory considered…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Jiahui Bao , Changfu Shi , Haitian Wang , Jian-dong Zhang , Yiming Hu , Jianwei Mei , Jun Luo

It is argued that special relativity remains a viable physical theory even when there is permitted signals traveling faster than light.

General Relativity and Quantum Cosmology · Physics 2010-05-11 Robert Geroch

The speed of light ($c$) in a vacuum is independent on a choice of frames to describe the propagation, according to the theory of relativity. We consider how light is characterised in a material, where the speed of light is different from…

Optics · Physics 2024-06-07 Shinichi Saito

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

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…

Popular Physics · Physics 2021-10-28 Diego Roldan , Rodrigo Sempertegui , Francisco Roldan

Hawking radiation is often intuitively visualized as particles that have tunneled across the horizon. Yet, at first sight, it is not apparent where the barrier is. Here I show that the barrier depends on the tunneling particle itself. The…

High Energy Physics - Theory · Physics 2008-11-26 Maulik K. Parikh

Besides the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way velocity of light in all inertial frames of reference, the special theory of relativity employs another assumption. This…

High Energy Physics - Theory · Physics 2007-05-23 Jian-Miin Liu

We present the special theory of relativity taking the Doppler effect as the starting point, and derive several of its main effects, such as time dilation, length contraction, addition of velocities, and the mass-energy relation, and…

Classical Physics · Physics 2009-11-11 M. Moriconi

It is shown that varying speed of light cosmology follows from a string-inspired minimal length uncertainty relation. Due to the reduction of the available phase space volume per quantum mode at short wavelengths, the equation of state of…

Astrophysics · Physics 2009-11-07 J. C. Niemeyer

Black holes have often provided profound insights into the nature of gravity and the structure of space-time. The study of the mathematical properties of black objects is a major research theme of contemporary theoretical physics. This…

High Energy Physics - Theory · Physics 2019-05-14 Sudipta Sarkar

There have been a number of papers proposing that the light speed of a homogeneous and isotropic universe is variable. This paper outlines a simple way that the vectors and tensors of special relativity can be extended to allow such a…

Astrophysics · Physics 2011-07-08 Robert C. Fletcher

The "Breakthrough Starshot" program is planning to send transrelativistic probes to travel to nearby stellar systems within decades. Since the probe velocity is designed to be a good fraction of the light speed, \citet{zha18} recently…

High Energy Astrophysical Phenomena · Physics 2019-10-09 Yuan-Pei Yang , Jin-Ping Zhu , Bing Zhang

An overlooked straightforward application of velocity reciprocity to a triplet of inertial frames in collinear motion identifies the ratio of their cyclic relative velocities' sum to the negative product as a cosmic invariant, whose inverse…

General Physics · Physics 2020-04-14 Brian Coleman

We conclude that Special relativity effects are caused by a period of acceleration in the past, before they are measure in uniform velocity. This can be regarded as extension of the equivalence principle of General Relativity.We define the…

General Physics · Physics 2010-06-15 E. M. Yahalomi

High energy infers high velocity and high velocity is a concept of special relativity. The Maxwellian velocity distribution is corrected to be consistent with special relativity. The corrected velocity distribution reduces to the Maxwellian…

Statistical Mechanics · Physics 2007-05-23 Jian-Miin Liu

Since the original derivation of Hawking radiation, there have been lots of alternative approaches to show the same fact that black holes emit particles as hot bodies with a temperature. These alternative methods generally rely on different…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Chon Man Sou

Method given for intuitively visualizing constancy of light speed. Using mass-energy equivalence, we can show with the help of simple thought experiments, that velocity time dilation and gravitational time dilation are a necessary…

General Physics · Physics 2014-08-29 Abdul Rouf

In this paper we consider the central force problem in the special theory of relativity. We derive the special relativistic version of the Binet equation describing the orbit of a body. Then, the motion of a planet in a solar-like system…

Classical Physics · Physics 2022-08-24 Iwan Setiawan , Ryan Sugihakim , Bobby Eka Gunara