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On lorentz transformations and the Theory of Relativity

Journal of Modern Physics 2022年第11期13卷 1341-1347页

作者： Fleur T. Tehrani School of Engineering and Computer Science California State University Fullerton CA USA

In the course of a research study on lorentz transformations and the theory of relativity, the fundamentals of the relativistic concepts of space and time, the relations of those concepts to lorentz transformations, and equivalence of mass and energy were studied. Many important references on the said subjects were reviewed. This paper draws attention to some critical questions that have risen in the course of that research study on the concepts of expansion of time and unbounded increase of a particle’s mass with velocity.

关键词： lorentz transformations Relativity Theory Mass Energy

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Uniform-velocity spacetime crystals

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Advanced Photonics 2019年第5期1卷 17-42页

作者： Zoé-Lise Deck-Léger Nima Chamanara Maksim Skorobogatiy Mário G.Silveirinha Christophe Caloz Polytechnique Montréal Department of Electrical EngineeringMontréalQuebecCanada Polytechnique Montréal Department of Engineering PhysicsMontréalQuebecCanada Universidade de Lisboa-Instituto Superior Técnico and Instituto de Telecomunicações Department of Electrical EngineeringLisbonPortugal

We perform a comprehensive analysis of uniform-velocity bilayer spacetime crystals,combining concepts of conventional photonic crystals and special relativity.Given that a spacetime crystal consists of a sequence of spacetime discontinuities,we do this by solving the following sequence of problems:(1)the spacetime interface,(2)the double spacetime interface,or spacetime slab,(3)the unbounded crystal,and(4)the truncated crystal.For these problems,we present the following results:(1)an extension of the Stokes principle to spacetime interfaces,(2)an interference-based analysis of the interference phenomenology,(3)a quick linear approximation of the dispersion diagrams,a description of simultaneous wavenumber and frequency bandgaps,and(4)the explanation of the effects of different types of spacetime crystal truncations and the corresponding scattering coefficients.This work may constitute the foundation for a virtually unlimited number of novel canonical spacetime media and metamaterial problems.

关键词： crystals special relativity lorentz transformations spacetime bandgap structures

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