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Method given for intuitively visualizing constancy of light speed. Using mass-energy equivalence, we can show with the help of simple thought experiments, that velocity time dilation and gravitational time dilation are a necessary…

General Physics · Physics 2014-08-29 Abdul Rouf

Space-time wave packets can propagate invariantly in free space with arbitrary group velocity thanks to the spatio-temporal correlation. Here it is proved that the space-time wave packets are stable in dispersive media as well and free from…

Optics · Physics 2022-07-27 Hao He , Cheng Guo , Meng Xiao

We theoretically analyze wave packet transmission through a phase-conjugating mirror and show that the transmission of a suitably chosen input pulse is superluminal, i.e. the peak of the pulse emerges from the mirror before the time it…

Optics · Physics 2009-10-30 M. Blaauboer , A. E. Kozhekin , A. G. Kofman , G. Kurizki , D. Lenstra , A. Lodder

We consider tunnelling of a non-relativistic particle across a potential barrier. It is shown that the barrier acts as an effective beam splitter which builds up the transmitted pulse from the copies of the initial envelope shifted in the…

Quantum Physics · Physics 2015-05-18 D. Sokolovski

We consider a passive scalar that is advected by a prescribed mean zero divergence-free velocity field, diffuses, and reacts according to a KPP-type nonlinear reaction. We introduce a quantity, the bulk burning rate, that makes both…

Analysis of PDEs · Mathematics 2009-10-31 Peter Constantin , Alexander Kiselev , Adam Oberman , Leonid Ryzhik

Though both theoretical and experimental investigations have revealed the superluminal behavior of evanescent electromagnetic waves, there are many disputes about the physical meaning and validity of such superluminal phenomenon, which is…

Quantum Physics · Physics 2015-06-26 Zhi-Yong Wang , Cai-Dong Xiong

The second postulate of special relativity states that the speed of light in vacuum is independent of the emitter's motion. The test of this postulate so far remains unexplored for gravitational radiation. We analyze data from the…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Rajes Ghosh , Sreejith Nair , Lalit Pathak , Sudipta Sarkar , Anand S. Sengupta

We demonstrate that a model with extra dimensions formulated in Csaki et al. (Phys Rev D 62, 045015), which fatefully reproduces Friedmann-Robertson-Walker (FRW) equations on the brane, allows for an apparent superluminal propagation of…

General Relativity and Quantum Cosmology · Physics 2024-02-23 De-Chang Dai , Dejan Stojkovic

We theoretically study the propagation through a resonant absorbing medium of a time-dependent perturbation modulating the amplitude of a continuous wave (cw). Modeling the medium as a system of two-level atoms and linearizing the…

Optics · Physics 2010-09-13 Bruno Macke , Bernard Ségard

Recent experiments have demonstrated that it is possible to alter the dispersion of a medium without significantly altering its absorption or refractive index and that this may be done while a wave propagates through the medium. This…

Optics · Physics 2010-06-10 Douglas H. Bradshaw , Michael D. Di Rosa

We examine how the interference of a coherent light-pulse with its slightly time-delayed copy may generate a pulse nearly identical to the original one and ahead of it. The simplicity of this 2-pulse system enabled us to obtain exact…

Optics · Physics 2016-08-14 Bruno Macke , Bernard Ségard

It is shown that superluminal optical signalling is possible without violating Lorentz invariance and causality via tunneling through photonic band gaps in inhomogeneous dielectrics of a special kind.

Quantum Physics · Physics 2009-11-06 Partha Ghose , M. K. Samal

In this paper we show that if the refractive index, or rather (n(w) -1) satisfies the dispersion relations then, it is implied by Titchmarsh's theorem that n(w) -> 1 as w -> infinity. Any other limiting value for n(w) would violate…

Quantum Physics · Physics 2007-05-23 H. Fearn , R. H. Gibb

A planar laser pulse propagating in vacuum can exhibit an extremely large ponderomotive force. This force, however, cannot impart net energy to an electron: As the pulse overtakes the electron, the initial impulse from its rising edge is…

Accelerator Physics · Physics 2020-10-21 Dillon Ramsey , Philip Franke , Tanner Simpson , Dustin Froula , John Palastro

The impossibility of sending pulses of radio waves (Morse codes) through an ionized medium, despite the superluminal phase velocity of the constituent modes, has been demonstrated in many and various ways; essentially the reason is because…

General Physics · Physics 2025-08-15 Richard Lieu

In a previous work we have shown that the null result of the Michelson-Morley experiment in vacuum is deeply connected with the notion of time. The same is true for the the postulate of constancy of the two-way speed of light in vacuum in…

Physics Education · Physics 2007-05-23 Rodrigo de Abreu , Vasco Guerra

It is shown that the dispersion and attenuation functions in a linear viscoelastic medium with a positive relaxation spectrum can be expressed in terms of a positive measure. Both functions have a sublinear growth rate at very high…

Materials Science · Physics 2010-05-04 M. Seredyńska , Andrzej Hanyga

Recent theoretical results show the existence of arbitrary speeds (0 <= v < \infty) solutions of all relativistic wave equations. Some recent experiments confirm the results for sound waves. The question arises naturally: What is the…

Classical Physics · Physics 2007-05-23 T. Matolcsi , W. A. Rodrigues

Responses to questions, comments and criticism of our recent paper "General Relativity Resolves.." are provided. It is emphasized that our model is entirely natural to describe the dynamics of an axially symmetric galaxy and that our…

Astrophysics · Physics 2007-05-23 F. I. Cooperstock , S. Tieu

All known realizations of optical wave packets that accelerate along their propagation axis, such as Airy wave packets in dispersive media or wave-front-modulated X-waves, exhibit a constant acceleration; that is, the group velocity varies…

Optics · Physics 2022-02-03 Layton A. Hall , Murat Yessenov , Ayman F. Abouraddy