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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 properties of the…

高能物理 - 理论 · 物理学 2015-11-17 Shoichi Ichinose

Relative motion of particles is examined in the context of relational space-time. It is shown that de Broglie waves may be derived as a representation of the coordinate maps between the rest-frames of these particles. Energy and momentum…

综合物理 · 物理学 2024-08-30 Tony Lyons

The OPERA collaboration reported evidence for muonic neutrinos travelling faster than light in vacuum. In this paper, an extended relativity theory is proposed. We think all particles can be divided into three kinds: The first kind of…

综合物理 · 物理学 2011-11-01 Xiang-Yao Wu , Bo-Jun Zhang , Xiao-Jing Liu , Nuo Ba , Yan Wang

The probability of a photon to move faster than light, under the Einstein Quantum dynamics is shown to vanish for large times. The proof is based on using propagation estimates on multiscaled energy intervals, to control the singular symbol…

数学物理 · 物理学 2011-03-17 Avy Soffer

We propose a new generalisation of general relativity which incorporates a variation in both the speed of light in vacuum (c) and the gravitational constant (G) and which is both covariant and Lorentz invariant. We solve the generalised…

天体物理学 · 物理学 2009-10-31 P. P. Avelino , C. J. A. P. Martins

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

综合物理 · 物理学 2012-08-31 Giovanni Zanella

We take causality and uniqueness of events observation as our driving forces. They are built in in the way we define distinct observers, which then require a finite time to communicate between each other. This unavoidably leads to the…

综合物理 · 物理学 2026-04-09 Antonio Pineda

In special relativity theory the physical quantities are generally expressed as function of the velocity. In the particular case of an extended object, the factor 1/gamma of Lorentz contraction of its length in the direction of motion is…

综合物理 · 物理学 2013-07-25 E. R. Cazaroto

We attempt to describe geometry in terms of informational quantities for the universe considered as a finite ensemble of correlated quantum particles. As the main dynamical principle, we use the conservation of the sum of all kinds of…

综合物理 · 物理学 2022-08-30 Merab Gogberashvili

By exploring the relationship between the propagation of electromagnetic waves in a gravitational field and the light propagation in a refractive medium, it is shown that, in the presence of a positive cosmological constant, the velocity of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 W. R. Esposito Miguel , J. G. Pereira

We have defined slowness (or reciprocal velocity) corresponding to v as cc/v, where c is the speed of light and v is the corresponding velocity. Velocity and slowness are images of each other. Reciprocal symmetric law of addition of…

数学物理 · 物理学 2007-05-23 Mushfiq Ahmad

General relativity provides an appropriate framework for addressing the issue of sub- or superluminality as an apparent effect. Even though a massless particle travels on the light cone, its average velocity over a finite path measured by…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Dieter Lust , Marios Petropoulos

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…

天体物理学 · 物理学 2009-11-07 J. C. Niemeyer

Taking into account four universal constants, namely the Planck's constant $h$, the velocity of light $c$, the constant of gravitation $G$ and the Boltzmann's constant $k$ leads to structuring theoretical physics in terms of three theories…

高能物理 - 理论 · 物理学 2009-10-11 G. Cohen-Tannoudji

Gravitational waves propagate at the speed of light in general relativity, because of its special relativistic basis. However, light propagation is linked to the electromagnetic phenomena, with the permittivity and permeability constants as…

广义相对论与量子宇宙学 · 物理学 2018-11-14 C. S. Unnikrishnan , George T. Gillies

We apply the property of selfsimilarity that corresponds to the concept of a fractal universe, to the dimension of time. It follows that any interval of time, given by any tick of any clock, is proportional to the age of the universe. The…

综合物理 · 物理学 2009-05-26 Antonio Alfonso-Faus

That the speed of light is a universal constant is a logical consequence of Maxwell's equations. Here we show the converse is also true. Electromagnetism (EM) and electrodynamics (ED), in all details, can be derived from two simple…

经典物理 · 物理学 2013-12-24 Yousef Sobouti

The determination of whether two distant events are simultaneous depends on the velocity of the observer. This velocity dependence is typically explained in terms of the relativity of space and time in a counterintuitive manner by the…

综合物理 · 物理学 2011-03-22 Randy Wayne

We study the implications of time-varying wave mechanics, and show how the standard wave equation is modified if the speed of a wave is not constant in time. In particular, waves which experience longitudinal acceleration are shown to have…

光学 · 物理学 2023-04-18 Matias Koivurova , Charles W. Robson , Marco Ornigotti

In this extended note a critical discussion of an extension of the Lorentz transformations for velocities faster than the speed of light given recently by Hill and Cox is provided. The presented approach reveals the connection between…

广义相对论与量子宇宙学 · 物理学 2014-04-15 Congrui Jin , Markus Lazar