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Journal ArticleDOI

Classical theory of tachyons (Special relativity extended to superluminal frames and objects)

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TLDR
In this article, a logical introduction to superluminal reference frames is given, along with a group of generalized relativistic Lorentz transformations (GLT) elements.
Abstract
210 1. Foreword. 211 2. Historical remarks. 212 3. Special relativity revisited: logical introduction to Superluminal reference frames. 212 3\"1. Postulates. 213 3\"2. Duali ty principle. 214 3\"3. Four-vector properties. 215 3\"4. Superluminal inertial frames. 215 3\"5, Generalized relativistic transformations. 217 3\"6. Four-momentum. 218 3\"7. Conservation laws. 218 4. Group G of g~'neralized Lorentz transformations (GLT). 218 4\"1. The group elements. 219 4\"2. Tensors. 220 4\"3. Transcendent transformations. 222 4\"4. GLT's matricial form. 223 4\"5. Physical meaning (if the four subsets of G. 227 4\"6. Par~meU'ization of the elements of G. 229 5. Generalized velocity composition law. 231 6. Geometrical interpretat ion of GLT's. Comparison of space and time intervals. 235 7. Ant imat ter and tachyons. A (~third postulate,): the Dirac-StiickelbergFeynmau-Sudarshan <~reinterpretation principle )) (RIP). 235 7\"1. Bradyons, luxons, tachyons. 236 7\"2. Four-momentum space. 238 7\"3. The ((reinterpretation principle)): the thi rd postulate.

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Citations
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Journal ArticleDOI

Classical tachyons and possible applications

TL;DR: In this article, it was shown that special relativity can be given a form such to describe both particles and antiparticles, even without tachyons, and all the common causality problems are thoroughly solved on the basis of tachyon kinematics.
Posted Content

P-Adic Length Scale Hypothesis and Dark Matter Hierarchy

Matti Pitkänen
- 01 Aug 2009 - 
TL;DR: The p-adic length scale hypothesis as mentioned in this paper states that primes p≈ 2k, k integer, in particular prime, define preferred padic length scales, which is based on the generalization of the area law for blackhole entropy for elementary particles.
Journal ArticleDOI

Tachyon kinematics and causality: a systematic thorough analysis of the tachyon causal paradoxes

TL;DR: In this paper, a relativistic version of the Stuckelberg-Feynman switching procedure (SWP) has been invoked as a suitable tool to eliminate those anomalies.
Journal ArticleDOI

On the localized superluminal solutions to the Maxwell equations

TL;DR: In this paper, a bird's-eye view is presented of the experiments with evanescent waves (and/or tunneling photons) and with the "localized superluminal solutions" (SLS) to the wave equation, like the so-called X-shaped beams.
References
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Quantum Mechanics

Journal ArticleDOI

Zur Elektrodynamik bewegter Körper

Albert Einstein
- 01 Jan 1905 - 
TL;DR: In this article, anwendung auf bewegte Korper zu Asymmetrien fuhrt, welche den Phanomenen nicht anzuhaften scheinen, is bekannt.
Journal ArticleDOI

Quantised Singularities in the Electromagnetic Field

TL;DR: The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced as discussed by the authors, and it seems likely that this process of increasing abstraction will continue in the future and that advance in physics is to be associated with a continual modification and generalisation of the axioms at the base of the mathematics rather than with a logical development of any one mathematical scheme on a fixed foundation.

Zur Elektrodynamik bewegter Körper

TL;DR: In this article, anwendung auf bewegte Korper zu Asymmetrien fuhrt, welche den Phanomenen nicht anzuhaften scheinen, is bekannt.
Journal ArticleDOI

On Unitary Representations of the Inhomogeneous Lorentz Group

TL;DR: The superposition principle of the wave function is defined in this article, which is the fundamental principle of quantum mechanics that the system of states forms a linear manifold, in which a unitary scalar product is defined.
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