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Holographic special relativity [PDF]
Advances in Theoretical and Mathematical Physics, 2015 We reinterpret special relativity, or more precisely its de Sitter deformation, in terms of 3d conformal geometry, as opposed to (3+1)d spacetime geometry. An inertial observer, usually described by a geodesic in spacetime, becomes instead a choice of ways to reverse the conformal compactification of a Euclidean vector space up to scale. The observer's
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Nonlocal special relativity [PDF]
Annalen der Physik, 2008 AbstractIn the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always pointwise inertial.
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Quaternions and special relativity [PDF]
Journal of Mathematical Physics, 1996 We reformulate Special Relativity by a quaternionic algebra on reals. Using real linear quaternions, we show that previous difficulties, concerning the appropriate transformations on the 3+1 space–time, may be overcome. This implies that a complexified quaternionic version of Special Relativity is a choice and not a necessity.
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The path to Special Relativity
, 2021 6 pages, plus title and references; v2: introduction and abstract rewritten, reference ...
Koekoek, Gideon +2 more
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Doubly Special Relativity: A New Relativity or Not [PDF]
AIP Conference Proceedings, 2006 Double Special Relativity theories are the relativistic theories in which the transformations between inertial observers are characterized by two observer-independent scales of the light speed and the Planck length. We study two main examples of these theories and want to show that these theories are not the new theories of relativity, but only are re ...
Ahmad Shariati, Nosratollah Jafari
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Discussions on Special and General Relativity Model
Chaos Theory and Applications, 2021 In this study, the Michelson–Morley experiment and the result of this experiment (the speed of light appears to be the same in all directions) were explored.
Zeki Çalışkan
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The principle of relativity and the special relativity triple [PDF]
Physics Letters B, 2009 Based on the principle of relativity and the postulate on universal invariant constants ($c,l$) as well as Einstein's isotropy conditions, three kinds of special relativity form a triple with a common Lorentz group as isotropy group under full Umov-Weyl-Fock-Lorentz transformations among inertial motions.
Hong-Tu Wu, Bin Zhou, Han-Ying Guo
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Symmetry and Special Relativity [PDF]
Symmetry, 2019 We explore the role of symmetry in the theory of Special Relativity. Using the symmetry of the principle of relativity and eliminating the Galilean transformations, we obtain a universally preserved speed and an invariant metric, without assuming the constancy of the speed of light.
Yaakov Friedman, Tzvi Scarr
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Moving Unstable Particles and Special Relativity
Advances in High Energy Physics, 2018 In Poincaré-Wigner-Dirac theory of relativistic interactions, boosts are dynamical. This means that, just like time translations, boost transformations have a nontrivial effect on internal variables of interacting systems.
Eugene V. Stefanovich
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Renormalization of Very Special Relativity gauge theories
Journal of High Energy Physics, 2023 Mandelstam-Leibbrandt (ML) regularization of Very Special Relativity (VSR) amplitudes in momentum space depends on two fixed null vectors n μ , n ¯ μ $$ {\overline{n}}_{\mu } $$ besides external momenta. ML is known to preserve gauge invariance and naive
J. Alfaro
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