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Lorentz Inner Product and Lorentz Tensors
In Chap. 5 we considered the Euclidian inner product and defined the Euclidian tensors. In the...
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Tests of Lorentz Invariance
Lorentz invariance is a fundamental symmetry of both Einstein’s theory of general relativity and quantum field theory. However, deviations from...
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Lorentz–Abraham Force and Power Equations
Toward the end of the nineteenth century Lorentz modeled the electron (“vibrating charged particle,” as he called it) by a spherical shell of uniform...
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Holographic Lorentz and Carroll frames
Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free...
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The Lorentz Transformation: Applications
In possession of the Lorentz transformation
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Astrophysical Bounds on Planck Suppressed Lorentz Violation
This article reviews many of the observational constraints on Lorentz symmetry violation (LV). We first describe the GZK cuto. and other phenomena...
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Lorentz Transformations
Chapter 3 discusses three different methods for constructing the Lorentz Transformation between two inertial frames of reference. The general Lorentz...
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A Study of the Motion of Four Linked Satellites Controlled Using Lorentz Forces
AbstractThis paper considers four satellites connected to each other by electrodynamic tethers, which are assumed to be rigid in the mathematical...
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Cosmic Searches for Lorentz Invariance Violation
Cosmic messengers (gamma rays, cosmic rays, neutrinos and gravitational waves) provide a powerful complementary way to search for Lorentz invariance...
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The Physical Basis of Lorentz Transformation and Minkowski’s Four-Dimensional Space–Time
In the quantum wave modelQuantum wave model presented in this book, our UniverseUniverse is filled with a vacuum mediumVacuum medium;...
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Study of Lorentz violation in hadron production process from pair annihilation induced by a nonminimal coupling
Various processes have been yet considered to study the effect of Lorentz-violating terms and different limits have been determined for the magnitude...
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Hawking radiation in Lorentz violating gravity: a tale of two horizons
Since their proposal, Lorentz violating theories of gravity have posed a potential threat to black hole thermodynamics, as superluminal signals...
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Time Measurement and Lorentz Coordinate Transformations
We introduce graphic representation of the Lorentz coordinate transformation. The consistency of time dilation with LT is illustrated, and we show:...
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Deformed Lorentz Symmetry and Corresponding Geometry in Ultra-High Energy Astrophysics
AbstractThis paper purports to develop a consistent microscopic theory of deformed Lorentz symmetry and the corresponding deformed geometry. Among...
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The Boltzmann equation and equilibrium thermodynamics in Lorentz-violating theories
In this work, we adapt the foundations of relativistic kinetic theory and the Boltzmann equation to particles with Lorentz-violating dispersion...
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Radiation of an Electron in a Lorentz-Violating Vacuum
AbstractThe electromagnetic radiation of an electron in a constant background tensor field that violates Lorentz invariance is investigated in the...
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Tests of Lorentz Invariance
Lorentz invariance is a fundamental symmetry of both Einstein’s theory of general relativity and quantum field theory. However, deviations from...
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Lorentz Transformation Under a Discrete Dynamical Time and Continuous Space
The Lorentz transformation of space and time between two reference frames is one of the pillars of the special relativity theory. As a result of the...