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A Lorentz variant theory that passes fundamental tests of special relativity and makes diverging, testable but as of yet untested predictions [version 2; peer review: 2 approved] [PDF]

F1000Research, 2023
Background Tests of special relativity have been conducted over the past century with increasing accuracy and none have showed violations of Lorentz invariance.
Daniël Bischoff van Heemskerck
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Very Special Relativity [PDF]

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 group. These subgroups contain space-time translations together with at least a 2-parameter subgroup of the Lorentz group isomorphic to that generated by $K_{x}+J_{y}$ and $K_{y}-J_{x}$.
Cohen, Andrew Glen, Glashow, Sheldon Lee
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Super special relativity [PDF]

Frontiers in Computational Neuroscience
This paper proposes a new theoretical framework for understanding time perception centered on information processing in the brain. We introduce the concept of “perceptual time” as distinct from inertial clock time and develop a model relating perceptual ...
Nicholas Jordan Wagter
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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, $ $ and a length $R$. This is defined by a non-linear extension of the Poincare algerbra, $\cal A$, which we describe here. For $R\to \infty$, $\cal A$ becomes the Snyder presentation of the $ $-Poincare algebra, while for $
Kowalski-Glikman, J., Smolin, Lee
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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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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
Wise, Derek K.
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Special relativity derived from spacetime magma. [PDF]

PLoS ONE, 2014
We present a derivation of relativistic spacetime largely untethered from specific physical considerations, in constrast to the many physically-based derivations that have appeared in the last few decades.
Fred Greensite
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Thermodynamic and kinematic origins of anisotropic relativity [PDF]

Scientific Reports
We recently developed the framework of anisotropic relativity through a perhaps surprising path – the new theory of thermodynamic relativity. Here we show that there is another, and in retrospect more obvious path, which is through asynchronous ...
George Livadiotis, David J. McComas
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The theory of thermodynamic relativity [PDF]

Scientific Reports
We introduce the theory of thermodynamic relativity, a unified theoretical framework for describing both entropies and velocities, and their respective physical disciplines of thermodynamics and kinematics, which share a surprisingly identical ...
George Livadiotis, David J. McComas
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Perspectivism and Special Relativity

Teorie vědy, 2021
The special theory of relativity holds significant interest for scientific perspectivists. In this paper, I distinguish between two related meanings of “perspectival,” and argue that reference frames are perspectives, provided that perspectival means ...
Mahdi Khalili
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