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Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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TL;DR: Deformed special relativity (DSR) is obtained by imposing a maximal energy to special relativity and deforming the Lorentz symmetry (more exactly, the Poincar\'e symmetry) to accommodate this requirement.
Abstract: Deformed special relativity (DSR) is obtained by imposing a maximal energy to special relativity and deforming the Lorentz symmetry (more exactly, the Poincar\'e symmetry) to accommodate this requirement. One can apply the same procedure in the context of Galilean relativity by imposing a maximal speed (the speed of light). Effectively, one deforms the Galilean group and this leads to a noncommutative space structure, together with the deformations of composition of speed and conservation of energy momentum. In doing so, one runs into most of the ambiguities that one stumbles onto in the DSR context. However, this time, special relativity is there to tell us what is the underlying physics, in such a way we can understand and interpret these ambiguities. We use these insights to comment on the physics of DSR.
19 citations
TL;DR: In this paper, the development of Lorentz' theory of electrons is reviewed insofar as it relates to the problem of the electrodynamics of moving bodies, and it is shown that the principle of relativity did not play an important role in the theory, and that though the distinction between his own work and that of Einstein, he was unwilling to completely embrace the Einstein formulation and thereby reject the ether.
Abstract: The development of Lorentz' theory of electrons is reviewed insofar as it relates to the problem of the electrodynamics of moving bodies. It is shown that the principle of relativity did not play an important role in the Lorentz theory, and that though Lorentz eventually realized the distinctions between his own work and that of Einstein, he was unwilling to completely embrace the Einstein formulation and thereby reject the ether.
19 citations
TL;DR: In this paper, the authors revisited the definition of thermal equilibrium, in its operational formulation, provided by standard thermodynamics, and proposed an extension of this definition which is manifestly covariant and can be applied to the study of isolated systems in special relativity.
Abstract: We critically revisit the definition of thermal equilibrium, in its operational formulation, provided by standard thermodynamics. We show that it refers to experimental conditions which break the covariance of the theory at a fundamental level and that, therefore, it cannot be applied to the case of moving bodies. We propose an extension of this definition which is manifestly covariant and can be applied to the study of isolated systems in special relativity. The zeroth law of thermodynamics is, then, proven to establish an equivalence relation among bodies which have not only the same temperature, but also the same center of mass four-velocity.
19 citations
19 citations
TL;DR: In this paper, the authors reviewed old and recent ideas concerning the nature of time, starting from Mach's refusal of Newton's absolute time, and concluded that the slowing down of moving clocks is a real phenomenon.
Abstract: Old and recent ideas concerning the nature of time are reviewed, starting from Mach's refusal of Newton's absolute time. Many experiments show that the slowing down of moving clocks is a real phenomenon. Such must then also be the so-called “twin paradox,” which owes its name to its evident incompatibility with the philosophy of relativism (not to be confused with the theory of relativity). The Lorentz reformulation of special relativity started by postulating physical effects of the ether, but accepted Einstein's clock synchronization. Only because of this Lorentz could not understand the advantages of an easily deducible different theory. As stressed by Popper, one of the main problems of the usual approach is the introduction of a superdeterministic universe. Recent results obtained by the author show that a theory is possible, based on relative time but on absolute simultaneity, in which the conceptual difficulties of relativity are avoided.
19 citations