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A number of well-known difficulties in physics resulted from merging the theory of relativity with the Compton-de Broglie wave mechanics. Two such problems were the failure of Dirac's relativistic wave equation to predict the correct…

General Physics · Physics 2015-06-26 Ezzat G. Bakhoum

In this work we study the relativistic mechanics of continuous media on a fundamental level using a manifestly covariant proper time procedure. We formulate equations of motion and continuity (and constitutive equations) that are the…

Fluid Dynamics · Physics 2022-10-12 S. Sklarz , L. P. Horwitz

We distinguish between the notions of asymptotic causality and infrared causality for gravitational effective field theories, and show that the latter gives constraints consistent with gravitational positivity bounds. We re-explore the…

High Energy Physics - Theory · Physics 2022-03-23 Calvin Y. -R. Chen , Claudia de Rham , Aoibheann Margalit , Andrew J. Tolley

We investigate relativistic wavepacket dynamics for an electron tunneling through a potential barrier employing space-time resolved solutions to relativistic quantum field theory (QFT) equations. We prove by linking the QFT property of…

Quantum Physics · Physics 2026-03-17 M. Alkhateeb , X. Gutierrez de la Cal , M. Pons , D. Sokolovski , A. Matzkin

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

Lorentz violation in a brane-world scenario is presented and used to obtain a relationship between the speed of gravitational waves in the bulk and that on the brane. Lorentz violating effects would manifest themselves in gravitational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Ahmadi , S. Jalalzadeh , H. R. Sepangi

Group velocity of electromagnetic waves in plasmas derived by standard relativistic resistive MHD (resistive RMHD) equations is superluminal. If we assume that the group velocity represents the propagation velocity of a signal, we have to…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Shinji Koide , Ryogo Morino

Suppose we assume that in gently curved spacetime (a) causality is not violated to leading order (b) the Birkoff theorem holds to leading order and (c) CPT invariance holds. Then we argue that the `mostly empty' universe we observe around…

High Energy Physics - Theory · Physics 2018-12-19 Samir D. Mathur

Causality never gained the status of a "law" or "principle" in physics. Some recent literature even popularized the false idea that causality is a notion that should be banned from theory. Such misconception relies on an alleged…

Quantum Physics · Physics 2019-09-19 Giacomo Mauro D'Ariano

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. The presence of RF free quantum motion in…

General Relativity and Quantum Cosmology · Physics 2008-02-03 S. Mayburov

Many theoretical and experimental investigations have presented a conclusion that evanescent electromagnetic modes can superluminally propagate. However, in this paper, we show that the average energy velocity of evanescent modes inside a…

Quantum Physics · Physics 2011-05-24 Zhi-Yong Wang , Wen-Chao Wang , Qi Qiu , Cai-Dong Xiong , Liu Yong

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called "inertons," should exist. The equations…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

In this paper a one to one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Paul O'Hara

The propagation of a massless field in attractive and repulsive potentials is considered. It is shown that though the group velocity in such potentials can be larger than one, the wave front propagates with the speed of light. A…

High Energy Physics - Theory · Physics 2009-10-30 A. D. Dolgov , I. B. Khriplovich

In general relativity, the causal structure between events is dynamical, but it is definite and observer-independent; events are point-like and the membership of an event A in the future or past light-cone of an event B is an…

Quantum Physics · Physics 2020-07-13 Philippe Allard Guérin , Časlav Brukner

The most peculiar, specifically quantum, features of quantum mechanics --- quantum nonlocality, indeterminism, interference of probabilities, quantization, wave function collapse during measurement --- are explained on a logical-geometrical…

Quantum Physics · Physics 2016-09-08 Yuri Orlov

The assumption that wave function collapse is a real occurrence has very interesting consequences - both experimental and theoretical. Besides predicting observable deviations from linear evolution, it implies that these deviations must…

Quantum Physics · Physics 2019-04-05 Edward J. Gillis

We study a single quantum particle in discrete spacetime evolving in a causal way. We see that in the continuum limit any massless particle with a two dimensional internal degree of freedom obeys the Weyl equation, provided that we perform…

Quantum Physics · Physics 2014-06-25 Terence C. Farrelly , Anthony J. Short

Acausal features of quantum electrodynamic processes are discussed. While these processes are not present for the classical electrodynamic theory, in the quantum electrodynamic theory, acausal processes are well known to exist. For example,…

Quantum Physics · Physics 2007-05-23 A. Widom , Y. N. Srivastava , E. Sassaroli

Emergence of deterministic and irreversible macroscopic behavior from deterministic and reversible microscopic dynamics is understood as a result of the law of large numbers. In this paper, we prove on the basis of the theory of algorithmic…

Statistical Mechanics · Physics 2019-11-19 Ken Hiura , Shin-ichi Sasa