Über die Transformation der Raumzeitkoordinaten von ruhenden auf bewegte Systeme

Frank, Philipp; Rothe, Hermann

doi:10.1002/andp.19113390502

Cited by 107 publications

(71 citation statements)

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“…We find it convenient to start from an alternative, less well-known derivation of the Lorentz transformations, first discussed by von Ignatowsky in 1910 [22], and later rediscovered by many people [23][24][25][26][27][28][29][30][31][32]. The starting hypotheses are: (i) That in an inertial frame space is homogeneous, isotropic, and Euclidean, and time is homogeneous;…”

Section: Lorentz Transformations Without Lightmentioning

confidence: 99%

See 1 more Smart Citation

Faster-than-c Signals, Special Relativity, and Causality

Liberati¹,

Sonego²,

Visser³

2002

Annals of Physics

193

188

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Motivated by the recent attention on superluminal phenomena, we investigate the compatibility between faster-than-c propagation and the fundamental principles of relativity and causality. We first argue that special relativity can easily accommodate-indeed, does not exclude-faster-than-c signaling at the kinematical level. As far as causality is concerned, it is impossible to make statements of general validity, without specifying at least some features of the tachyonic propagation. We thus focus on the Scharnhorst effect (faster-than-c photon propagation in the Casimir vacuum), which is perhaps the most plausible candidate for a physically sound realization of these phenomena. We demonstrate that in this case the faster-than-c aspects are "benign" and constrained in such a manner as to not automatically lead to causality violations. C 2002 Elsevier Science (USA)

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Section: Lorentz Transformations Without Lightmentioning

confidence: 99%

“…In fact, it is a result of the analysis performed in Refs. [22][23][24][25][26][27][28][29][30][31][32] that the Lorentz and Galilei transformations are the only ones that satisfy (i)-(iii).…”

Section: Appendix A: Alternative Kinematical Groups?mentioning

confidence: 99%

Faster-than-c Signals, Special Relativity, and Causality

Liberati¹,

Sonego²,

Visser³

2002

Annals of Physics

193

188

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“…For an arbitrary relative speed V < σ (see equation (5)), we can conclude from equation (21) that the unique solution of equation (22) for ∆N = 0 (consistent with the null result) is = 1, i.e., σ = c. Thus, the set of transformations given by equations (1)(2)(3)(4)(5) reduces to the standard Lorentz form. Naturally, since the invariant speed σ (which is a consequence of the space-time isotropy) can now be identified with the light speed in the aether frame, this result also suggests the non-existence of an aether medium itself because of the inferred invariance of the light waves speed.…”

Section: Michelson-morley Experiments and The Limiting Invariant Speedmentioning

confidence: 61%

Can Lorentz transformations be determined by the null Michelson-Morley result?

Lima

Sasse

2017

Rev. Bras. Ensino Fís.

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The so-called principle of relativity is able to fix a general coordinate transformation which differs from the standard Lorentzian form only by an unknown speed which cannot in principle be identified with the light speed. Based on a reanalysis of the Michelson-Morley experiment using this extended transformation we show that such unknown speed is analytically determined regardless of the Maxwell equations and conceptual issues related to synchronization procedures, time and causality definitions. Such a result demonstrates in a pedagogical manner that the constancy of the speed of light does not need to be assumed as a basic postulate of the special relativity theory since it can be directly deduced from an optical experiment in combination with the principle of relativity. The approach presented here provides a simple and insightful derivation of the Lorentz transformations appropriated for an introductory special relativity theory course. Keywords: Michelson-Morley experiment, Lorentz transformations, principle of relativity O chamado princípio da relatividadeé capaz de determinar uma transformação geral de coordenadas que difere da forma lorentziana padrão por um velocidade desconhecida que não pode, em princípio, ser identificada com a velocidade da luz. Com base em uma nova análise do experimento de MichelsonMorley, usando esta transformação estendida, mostramos que tal velocidade invarianteé determinada analíticamente, sem qualquer referênciaàs equações de Maxwell e questões conceituais relacionadas a procedimentos de sincronização, definição de tempo e causalidade. Tal resultado demonstra de uma maneira pedagógica que a constância da velocidade da luz não precisa ser suposta como um postulado básico da teoria da relatividade especial, uma vez que ela pode ser deduzida diretamente a partir de um experimentoóptico em combinação com o princípio da relatividade. O método apresentado aqui resulta numa dedução das transformações de Lorentz queé simples e elucidativa, apropriada para um curso introdutório sobre teoria da relatividade especial. Palavras-chave: Experimento de Michelson-Morley, transformações de Lorentz, princípio da relatividade

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“…The relations (19), (20) Another derivation, intiated by v. Ignatowski [11,12] and Frank and Rothe [13,14], shows that the invariance of the uniform motion together with the relativity principle already is enough to derive Poincaré transformations with an undefined invariant velocity which has to be identified with the velocity of light.…”

Section: Derivation Of the Poincaré And Lorentz Transformationmentioning

confidence: 99%

Special Relativity and Lorentz Invariance

Lämmerzahl

2005

Ann. Phys.

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Lorentz Invariance, the main ingredient of Special Relativity, is one of the pillars of modern physics. Though Special Relativity has been replaced by General Relativity, Lorentz Invariance is still valid locally. All physical fields have to obey the laws of local Lorentz Invariance. This is also the reason why gravity within the theory of General Relativity has to be described by the metric tensor. Here we give a short introduction into the early experiments and show that they disproved the exact validity of the Galilean framework for the description of classical mechanics. After a short summary of Special Relativity, the procedure of synchronization is analyzed. It is emphasized that no experiment should depend on the synchronization. Otherwise it might be possible to simulate or compensate effects by choosing another synchronization. Accordingly, the requirement of synchronization independence is a guideline for the choice of appropriate measurable quantities which then reveal relativistic physics in an unambiguous manner. Examples are given. In a subsequent article the modern experiments implementing this kind of notions will be discussed. Also some remarks are made on the importance of Lorentz Invariance in daily life. Finally we comment on possible violations of Lorentz Invariance and their measurability.

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Über die Transformation der Raumzeitkoordinaten von ruhenden auf bewegte Systeme

Cited by 107 publications

References 1 publication

Faster-than-c Signals, Special Relativity, and Causality

Faster-than-c Signals, Special Relativity, and Causality

Can Lorentz transformations be determined by the null Michelson-Morley result?

Special Relativity and Lorentz Invariance

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