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Here we develop a model for the relativistic spring. We examine the effects of revising the simple harmonic oscillator to include relativistic momentum and a delayed force law. These corrections alter two of the most significant features of…

Classical Physics · Physics 2012-05-17 Dylan P. Clark

According to the postulates of the special theory of relativity (STR), physical quantities such as proper times and Doppler shifts can be obtained from any inertial frame by regarding it as isotropic. Nonetheless many inconsistencies arise…

General Physics · Physics 2019-07-02 Yang-Ho Choi

Relativistic Newtonian Dynamics (RND) was introduced in a series of recent papers by the author, in partial cooperation with J. M. Steiner. RND was capable of describing non-classical behavior of motion under a central attracting force. RND…

General Physics · Physics 2017-05-24 Yaakov Friedman

The relativistic and quantum theoretical explanations of the magnetic moment anomaly of the electron (or proton) show that it is a complicated function of the fine structure constant. In this work, a simple non-relativistic approach shows…

General Physics · Physics 2007-05-23 Raji Heyrovska

In the description of \emph{relative} motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation can be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Chicone , B. Mashhoon

In the absence of dark matter, the dynamical and kinematical interpretations of the special relativistic spacetime have been and still are the topic of philosophic debate, which whilst fertile, is by and large of little predictive power.…

General Relativity and Quantum Cosmology · Physics 2011-06-16 D. V. Ahluwalia

Concepts like peculiar velocity, gravitational force, and power spectrum and their interrelationships are of utmost importance in the theories of structure formation. The observational implementation of these concepts is usually based on…

Astrophysics · Physics 2009-10-31 Reza Mansouri , Sohrab Rahvar

It is argued that the `problem of time' in quantum gravity necessitates a refinement of the local inertial structure of the world, demanding a replacement of the usual Minkowski line element by a 4+2n dimensional pseudo-Euclidean line…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Joy Christian

We present a theory of gravity based on Einstein's general relativity that is motivated by the paradoxes associated with time in relativistic rotating frames and certain exact solutions of Einstein's equations. We show that we can resolve…

General Relativity and Quantum Cosmology · Physics 2011-06-14 Robert D. Bock

There are many papers devoted to derivation of Lorentz Transformations (LT). Many people have pro posed alternative derivations. Their analysis allows looking at LT and their consequences from different standpoints. At the same time it is…

Classical Physics · Physics 2012-08-20 E. G. Bessonov

The effect of the linear-fractional transformations on the parallel lines in the spacetime has been studied. Fock-Lorentz transformations maps a line to a line, from which one can obtain the combinations rule for the velocities in the…

General Relativity and Quantum Cosmology · Physics 2022-04-04 Nosrtollah Jafari

The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

General Physics · Physics 2016-09-21 Giuseppina Modestino

I present a brief review on space and time in different periods of physics, and then talk on the nature of space and time from physical arguments. I discuss the ways to test such a new perspective on space and time through searching for…

High Energy Physics - Phenomenology · Physics 2013-04-30 Bo-Qiang Ma

In this paper, it is shown why Lorentz Transformation implies the general case where observed events are not necessarily in the inertia frame of any observer but assumes a special scenario when determining the length contraction and time…

General Physics · Physics 2012-09-24 Ibrahim M. Alabdulmohsin

We consider a hypothetical possibility of the variability of light velocity with time and position in space which is derived from two natural postulates. For the consistent consideration of such variability we generalize translational…

Astrophysics · Physics 2016-08-30 Sergey S. Stepanov

We consider the nonrelativistic particle moving on noncommutative space-time in the presence of constant force $\vec{F}$. Further, following the paper M. Daszkiewicz, C.J. Walczyk, Phys. Rev. D 77, 105008 (2008); arXiv: 0802.3575 [math-ph],…

Mathematical Physics · Physics 2010-07-28 Marcin Daszkiewicz

A new relativistic transformation in the velocity space (here named the differential Lorentz transformation) is formulated solely from the principle of relativity and the invariance of the speed of light. The differential Lorentz…

Classical Physics · Physics 2008-12-31 Young-Sea Huang

Equivalence principles are a major part of modern relativity theory. Gravitational shifts can already be calculated within the time domain as motion shifts, and we examine the consequences of reversing this argument and describing motion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Baird

We first present the salient features of the gravitational time dilation and redshift effects in two ways; by considering the oscillation frequencies/rates of clocks at different heights/potentials and by considering the photons emitted by…

General Physics · Physics 2020-01-15 Murat Özer

In Newtonian physics, the excitation spectrum of a fluid is the same in all reference frames, up to a trivial shift. In special relativity, this is no longer the case. Relativity of simultaneity causes different inertial observers to…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Lorenzo Gavassino