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Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it velocity-field} plays the central role. The matter (constituent…

High Energy Physics - Theory · Physics 2013-10-10 Shoichi Ichinose

The temperature of a mechanical body has a kinetic interpretation: it describes the relative motion of particles within the body. Since the relative velocity of two particles is a Lorentz invariant, so is the temperature. In statistical…

Classical Physics · Physics 2019-02-15 Nikodem Popławski

This paper constitutes a background to the paper 'Quantum mechanics as "space-time statistical mechanics"?', arXiv:quant-ph/0501133, presented previously by the author. But it is also a free-standing and self-contained paper. The purpose of…

Classical Physics · Physics 2009-02-01 Anders Månsson

The paper discusses the problem of the Lorentz contraction in accelerated systems, in the context of the special theory of relativity. Equal proper accelerations along different world lines are considered, showing the differences arising…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Angelo Tartaglia , Matteo Luca Ruggiero

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta - either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Schützhold , W. G. Unruh

All experiments attempting to verify the invariance of speed of light directly are based on two-way speed measurement. The challenge in one-way speed measurement, the requirement of spatially separated synchronised clocks, can be possibly…

Classical Physics · Physics 2013-03-20 Evan John Philip

At present, whenever we work in newtonian mechanics we consider momentum to be a three-dimensional vector or a 4-dimensional one when we work in relativistic mechanics. However, this mathematical vector model has barely 200 years and its…

General Physics · Physics 2007-05-23 Enrique Ordaz Romay

Lorentz Transformation is reinterpreted. It is shown that by admitting the existence of a frame of reference with synchronized clocks, we conclude that any other frame of reference that moves related to the first has desynchronized clocks.…

General Physics · Physics 2007-05-23 Rodrigo de Abreu

Steep or near-vertical Floquet dispersion in photonic time crystals (PTCs) is often read as fast, even apparently superluminal, transport. Here, we demonstrate that this anomaly arises from modulation-driven geometric drift, not energy…

Optics · Physics 2026-02-04 Kyungmin Lee , Younsung Kim , Kun Woo Kim , Bumki Min

Two alternative interpretations of the quantum collapse are proposed: a time-ordered and a timeless one. The time-ordered interpretation implies that the speed of light can be defined in an absolute way, while the timeless quantum collapse…

Quantum Physics · Physics 2014-01-17 Antoine Suarez

In the light of recent experimental and theoretical data, we go back to the studies tackled in previous publications [1] and develop some of their consequences. Some of their main aspects will be studied in further detail. Yet this text…

General Physics · Physics 2008-03-27 Joseph Levy

We expand the IST transformation to three-dimensional Euclidean space and derive the speed of light under the IST transformation. The switch from the direction cosines observed in K to those observed in K-prime is surprisingly smooth. The…

General Physics · Physics 2008-10-10 Chandru Iyer

The continuous limit of large systems of particles of finite size on the line is described. The particles are assumed to move freely and stick under collision, to form compound particles whose mass and size is the sum of the masses and…

Mathematical Physics · Physics 2009-11-11 Gershon Wolansky

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Yaakov Friedman

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

A compact analysis of development and prospects in the study of the tunnelling evolution is given. A new systematization of various approaches to defining tunnelling times in the light of time as a quantum mechanical observable is proposed.…

General Physics · Physics 2008-02-03 V. S. Olkhovsky , A. Agresti

Scientists from the OPERA experiment have measured neutrinos supposedly travelling at a velocity faster than light contrary to the theory of relativity. Even when the measurements are precise, the interpretation of this problem is being…

General Physics · Physics 2011-10-27 J. Manuel Garcia-Islas

Energy-dependent speeds of light have been considered an observable signature of quantum gravity effects. The two simplest dispersion relationships produce either linear or quadratic corrections, in particle energy, to the photon speed. The…

Astrophysics · Physics 2009-08-06 Simon DeDeo , Chanda Prescod-Weinstein

The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a…

General Physics · Physics 2017-09-21 J. A. S. Lima , F. D. Sasse

As generally known, the speed of propagation of light in solid state bodies can be different from the speed of light in vacuum. That the mere presence of electric or magnetic fields in the vacuum can suffice to influence the speed of light,…

General Physics · Physics 2011-11-10 Claus W. Turtur