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On incorporating special relativity theory into an extended equivalence principle, post-Newtonian gravitational phenomena beyond that originally predicted by Einstein are predicted (required), such as geodetic and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth Nordtvedt

An instructive paradox concerning classical description of energy and momentum of extended physical systems in special relativity theory is explained using an elementary example of two point-like massive bodies rotating on a circle in their…

Classical Physics · Physics 2017-06-20 Kamil Serafin , Stanisław D. Głazek

The cause for first and second order electromagnetic equivalency of inertial systems is approached from a different point of view than that of special relativity. While special relativity applies dilatation to time and contraction to space…

General Physics · Physics 2007-05-23 G. Sardin

We determine the nonlinear transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration limit follows from the kinematical origin and it is an analogue of the maximal…

General Physics · Physics 2015-04-17 Miroslav Pardy

Einstein based his special theory of relativity on two postulates: (a) physical laws appear the same in all inertial frames, and (b) the speed of light in vacuum is an observer-independent constant. However, it is already known that the…

Classical Physics · Physics 2021-11-24 Vikramaditya Mondal

This paper can be seen as an exercise in how to adapt quantum mechanics from a strict relativistic perspective while being respectful and critical towards the experimental achievements of the contemporary theory. The result is a fully…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Johan Noldus

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

A neo-classical relativistic mechanics theory is presented where the spin of an electron is a natural part of its space-time path as a point particle. The fourth-order equation of motion corresponds to the same Lagrangian function in proper…

Quantum Physics · Physics 2024-02-13 James L. Beck

We derive the perihelion precession of planetary orbits using quantum field theory extending the Standard Model to include gravity. Modeling the gravitational bound state of an electron via the Dirac equation of unified gravity [Rep. Prog.…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Mikko Partanen , Jukka Tulkki

The jump process introduced by J. S. Bell in 1986, for defining a quantum field theory without observers, presupposes that space is discrete whereas time is continuous. In this letter, our interest is to find an analogous process in…

Quantum Physics · Physics 2007-05-23 Jonathan Barrett , Matthew Leifer , Roderich Tumulka

The special theory of relativity has fundamentally changed our views of space and time. The relativity of simultaneity in particular, and the theory of relativity as a whole, still presents significant difficulty for beginners in the…

Classical Physics · Physics 2022-10-27 Abdaljalel Alizzi , Abhijit Sen , Zurab K. Silagadze

The clock time t' of an accelerating observer, simultaneous with the measured clock time t of an inertial observer,is easily established in special relativity (as proper time) by the well-known time-dilation formula for t'(t). In this work,…

General Relativity and Quantum Cosmology · Physics 2019-08-27 David A. de Wolf

Time has a fundamentally different character in quantum mechanics and in general relativity. In quantum theory events unfold in a fixed time order while in general relativity temporal order is influenced by the distribution of matter. When…

Quantum Physics · Physics 2020-06-17 Magdalena Zych , Fabio Costa , Igor Pikovski , Caslav Brukner

We study here the small time dynamics of $N$ electrons on the circle with Coul;omb repulsive interaction and study the series for the velocities (initially zero). The main result is the estimates of the convergence radius from below. We…

Mathematical Physics · Physics 2012-03-09 V. A. Malyshev

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

Special Relativity (SR) kinematics is derived from very intuitive assumptions. Contrary to standard Einstein's derivation, no light signal is used in the construction nor it is assumed to exist. Instead we postulate the existence of two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marek Pawlowski

In special relativity the mathematical expressions, defining physical observables as the momentum, the energy etc, emerge as one parameter (light speed) continuous deformations of the corresponding ones of the classical physics. Here, we…

High Energy Physics - Theory · Physics 2009-11-11 G. Kaniadakis

We study the entanglement dynamics of accelerated atoms using the theory of open quantum systems. We consider two atoms travelling along different hyperbolic trajectories with different proper times. We use the generalized master equation…

High Energy Physics - Theory · Physics 2025-05-28 M. S. Soares , N. F. Svaiter , G. Menezes

The careful analysis of the duality properties of Riemann's curvature tensor points to possibility of extension of Einstein's General Relativity to the nonabelian Yang-Mills theory. The motion equations of the theory are Yang-Mills'…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. L. Koshkarov

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail
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