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Relativity of superluminal observers in 1 + 3 spacetime

Andrzej Dragan, Kacper Dębski, Szymon Charzyński, Krzysztof Turzyński, Artur Ekert

2022Classical and Quantum Gravity18 citationsDOIOpen Access PDF

Abstract

Abstract We develop an extension of special relativity in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mn>3</mml:mn> </mml:math> dimensional spacetime to account for superluminal inertial observers and show that such an extension rules out the conventional dynamics of mechanical point-like particles and forces one to use a field-theoretic framework. Therefore we show that field theory can be viewed as a direct consequence of extended special relativity.

Topics & Concepts

PhysicsSuperluminal motionSpacetimeExtension (predicate logic)Theory of relativityGeneral relativityField (mathematics)Inertial frame of referenceMathematical physicsPoint (geometry)Theoretical physicsClassical mechanicsPure mathematicsGeometryQuantum mechanicsComputer scienceMathematicsProgramming languageNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories
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