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Further results are reported for the one-component quaternionic wave equation recently introduced. A Lagrangian is found for the momentum-space version of the free equation; and another, nonlocal in time, is found for the complete equation.…

高能物理 - 理论 · 物理学 2008-11-26 Charles Schwartz

Besides two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way speed of light in all inertial frames of reference, the special theory of relativity uses the assumption about the Euclidean structure…

综合物理 · 物理学 2007-05-23 Jian-Miin Liu

The incompatibility between the Lorentz invariance of classical electromagnetism and the Galilean invariance of continuum mechanics is one of the major barriers to prevent two theories from merging. In this note, a systematic approach of…

综合物理 · 物理学 2016-11-26 Yintao Song

The properties of Lorentz transformations in de Sitter relativity are studied. It is shown that, in addition to leaving invariant the velocity of light, they also leave invariant the length-scale related to the curvature of the de Sitter…

广义相对论与量子宇宙学 · 物理学 2007-09-28 R. Aldrovandi , J. P. Beltran Almeida , C. S. O. Mayor , J. G. Pereira

It is argued that the de Broglie wave is not the wave usually supposed, but the relativistically induced modulation of an underlying carrier wave that moves with the velocity of the particle. In the rest frame of the particle this…

物理学史与哲学 · 物理学 2015-08-11 Daniel Shanahan

According to Schroedinger's ideas, classical dynamics of point particles should correspond to the " geometrical optics " limit of a linear wave equation, in the same way as ray optics is the limit of wave optics. It is shown that, using…

广义相对论与量子宇宙学 · 物理学 2007-11-19 Mayeul Arminjon

It is known that superluminal transmission of information and energy contradicts Einstein's relativity. Here we announce an unusual TOE called 'nature theory' in which impossible things become possible. We present the scheme of an apparatus…

量子物理 · 物理学 2007-05-23 Zbigniew A. Nowacki

In this letter a new formula for light deflection is derived using only physically observable concepts. The general result is specialized to cosmological perturbation theory and expressed in terms of gauge--invariant perturbation variables.…

天体物理学 · 物理学 2009-10-22 Ruth Durrer

The strange visual appearance of objects is one of the puzzling predictions of Einstein's relativity. This is mainly due to the distinction between measuring and seeing, where the former is described by the Lorentz Transformation and the…

经典物理 · 物理学 2021-04-09 Utkarsh Bajaj

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…

综合物理 · 物理学 2017-09-21 J. A. S. Lima , F. D. Sasse

In 1983, Thornhill showed that Planck's energy distribution for a black-body radiation field could be derived for a gas-like aether with Maxwellian statistics. Further, it was shown that the frequency of electromagnetic waves correlates…

综合物理 · 物理学 2008-07-18 J. P. Dunning-Davies , J. Dunning-Davies

The refinement and specifications of time-energy uncertainty relations have shown that the experimentally observed phenomena of superluminal signaling are describable by such their form: $\Delta E\Delta\tau\geq\pi\hbar$, where both standard…

量子物理 · 物理学 2007-05-23 M. E. Perel'man

We theoretically investigate superradiance effects in quantum field theories in curved space-times by proposing an analogue model based on Bose--Einstein condensates subject to a synthetic vector potential. The breaking of the…

量子气体 · 物理学 2021-04-08 Luca Giacomelli , Iacopo Carusotto

An exact solution of the Maxwell equations in Rindler coordinates is obtained. The electromagnetic field represents a wave preserving its shape in a relativistic uniformly accelerated frame. The relation with Airy beams is shown explicitly…

经典物理 · 物理学 2015-05-28 Shahen Hacyan

We show that starting with the addition law of parallel speeds derived as a consequence of the invariance of the speed of light, the Lorentz transformations for the space-time coordinates can be derived.

综合物理 · 物理学 2007-09-17 Bernhard Rothenstein

We review the propagation of electromagnetic waves in continuous matter in the presence of Lorentz-violating terms. First, we briefly discuss classical electrodynamics with regard to optical properties of a dielectric medium exhibiting the…

高能物理 - 理论 · 物理学 2024-12-05 Manoel M. Ferreira , Pedro D. S. Silva , Marco Schreck

A novel imaging principle based on the interaction of electromagnetic waves with a beam of relativistic electrons is proposed. Wave-particle interaction is assumed to take place in a small spatial domain, so that each electron is only…

经典物理 · 物理学 2009-11-10 Neil Budko

The equations of motion for $N$ non-relativistic particles attracting according to Newton's law are shown to correspond to the equations for null geodesics in a $(3N+2)$-dimensional Lorentzian, Ricci-flat, spacetime with a covariantly…

高能物理 - 理论 · 物理学 2009-07-09 C. Duval , G. Gibbons , P. Horvathy

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

高能天体物理现象 · 物理学 2017-07-26 Paul M. Chesler , Abraham Loeb
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