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Observers and Their Notion of Spacetime beyond Special Relativity [PDF]
Symmetry, 2018 It is plausible that quantum gravity effects may lead us to a description of Nature beyond the framework of special relativity. In this case, either the relativity principle is broken or it is maintained. These two scenarios (a violation or a deformation
José Manuel Carmona +2 more
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Numerical Hydrodynamics in Special Relativity [PDF]
Living Reviews in Relativity, 1999 This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD). Particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing ...
Martí Jose Maria, Müller Ewald
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Doubly Special Relativity [PDF]
Nature, 2002 I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent ...
Amelino-Camelia, Giovanni
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Physical Review Letters, 2006 By Very Special Relativity (VSR) we mean descriptions of nature whose space-time symmetries are certain proper subgroups of the Poincar\'e group. These subgroups contain space-time translations together with at least a 2-parameter subgroup of the Lorentz
Cohen, Andrew G., Glashow, Sheldon L.
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Homogeneously Modified Special relativity (HMSR) [PDF]
European Physical Journal C: Particles and Fields, 2019 This work explores a Standard Model extension possibility, that violates Lorentz invariance, preserving the space-time isotropy and homogeneity. In this sense HMSR represents an attempt to introduce an isotropic Lorentz Invariance Violation in the ...
Marco Danilo Claudio Torri +2 more
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Holographic Special Relativity [PDF]
Advances in Theoretical and Mathematical Physics, 2013 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.
Wise, Derek K.
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Triply Special Relativity [PDF]
Physical Review D, 2004 We describe an extension of special relativity characterized by {\it three} invariant scales, the speed of light, $c$, a mass, $\kappa$ and a length $R$. This is defined by a non-linear extension of the Poincare algerbra, $\cal A$, which we describe here.
E. Witten +8 more
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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 ...
Yaakov Friedman, Tzvi Scarr
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Quaternions and Special Relativity [PDF]
Journal of Mathematical Physics, 1995 We reformulate Special Relativity by a quaternionic algebra on reals. Using {\em real linear quaternions}, we show that previous difficulties, concerning the appropriate transformations on the $3+1$ space-time, may be overcome.
De Leo S., Frobenius G., Stefano De Leo
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Special relativity at the quantum scale. [PDF]
PLoS ONE, 2014 It has been suggested that the space-time structure as described by the theory of special relativity is a macroscopic manifestation of a more fundamental quantum structure (pre-geometry).
Pui K Lam
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