Single-Postulate Theory of Relativity and Generalization of the Clock Synchronization Principle.

Sfarti, Adrian

doi:10.4006/1.3025805

Cited by 3 publications

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“…A different attempt to derive the constancy of the speed of light from the principle of relativity appears in a series of papers by A. Sfarti (Sfarti, 2006(Sfarti, , 2009a. This work has been cited by others who attempted to rederive SR from fewer postulates.…”

Section: The Derivation Of Sfartimentioning

confidence: 99%

“…Sfarti's Eq. ( 26) in (Sfarti, 2006) [or identically Eq. ( 10) in (Sfarti, 2009a)], reads, in the present notations,…”

Section: The Derivation Of Sfartimentioning

confidence: 99%

“…According to Sfarti's (unprovable) assumption that c + = c − and its extension, this is the velocity of light emitted in any direction whatsoever from a source that moves with speed v in relation to S. In the next step, Sfarti algebraically inverts the equations to obtain Eq. ( 27) in (Sfarti, 2006) [or Eq. ( 11) in (Sfarti, 2009a)], rewritten here as:…”

Section: The Derivation Of Sfartimentioning

confidence: 99%

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The necessity of the second postulate in special relativity

Drory

2015

Studies in History and Philosophy of Science Part B: Studies in

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Constancy of the speed of light Second postulate Electromagnetism a b s t r a c t Many authors noted that the principle of relativity together with space-time homogeneity and isotropy restricts the form of the coordinate transformations from one inertial frame to another to being Lorentzlike. The equations contain a free parameter, k (equal to c À 2 in special relativity), whose value is claimed to be merely an empirical matter, so that special relativity does not need the postulate of constancy of the speed of light. I analyze this claim and argue that the distinction between the cases k ¼ 0 and k a 0 is on the level of a postulate and that until we assume one or the other, we have an incomplete structure that leaves many fundamental questions undecided, including basic prerequisites of experimentation. I examine an analogous case in which isotropy is the postulate dropped and use it to illustrate the problem. Finally I analyze two attempts by Sfarti, and Behera and Mukhopadhyay to derive the constancy of the speed of light from the principle of relativity. I show that these attempts make hidden assumptions that are equivalent to the second postulate.

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Section: The Derivation Of Sfartimentioning

confidence: 99%

“…Sfarti's Eq. ( 26) in (Sfarti, 2006) [or identically Eq. ( 10) in (Sfarti, 2009a)], reads, in the present notations,…”

Section: The Derivation Of Sfartimentioning

confidence: 99%

Section: The Derivation Of Sfartimentioning

confidence: 99%

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The necessity of the second postulate in special relativity

Drory

2015

Studies in History and Philosophy of Science Part B: Studies in

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“…References [11,12] deviate from other concepts of relativity and are therefore controversial. The other authors, who sought only to narrow the axiomatic basis of SR, employed homogeneity and isotropy of space and time as auxiliary assumptions to Galilean invariance [3,8,9].…”

Section: Deriving C From Galilean Invariancementioning

confidence: 99%

Can Special Relativity Be Derived from Galilean Mechanics Alone?

Sela¹,

Tamir

Dolev³

et al. 2009

Found Phys

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Special relativity is based on the apparent contradiction between two postulates, namely, Galilean vs. c-invariance. We show that anomalies ensue by holding the former postulate alone. In order for Galilean invariance to be consistent, it must hold not only for bodies' motions, but also for the signals and forces they exchange. If the latter ones do not obey the Galilean version of the Velocities Addition Law, invariance is violated. If, however, they do, causal anomalies, information loss and conservation laws' violations are bound to occur. These anomalies are largely remedied by introducing waves and fields that disobey Galilean invariance. Therefore, from these inconsistencies within classical mechanics, electromagnetism could be predicted before experiment proved its existence. Special relativity, it might be argued, would then follow naturally, either as a resolution of the resulting conflict or as an extrapolation of the path between the theories. We conclude with a review of earlier attempts to base SR on a single postulate, and point out the originality of the present work. Keywords

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Simplified single postulate theory of relativity

Sfarti¹

2009

Physics Essays

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In a prior paper [A. Sfarti. Phys. Essays 19, 355 (2006)], we have rederived the special theory of relativity using only one principle, the principle of relativity. In the current note, we present a more direct, cleaner derivation.Resume: Dans une oeuvre antérieure [A. Sfarti, Phys. Essays 19, 355 (2006)] nous avons dérivé la théorie de la relativité restrainte employant seulement un principe, le principe de la relativité. Dans la note suivante nous présentons une dérivation plus directe et plus propre.

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Single-Postulate Theory of Relativity and Generalization of the Clock Synchronization Principle.

Cited by 3 publications

References 0 publications

The necessity of the second postulate in special relativity

The necessity of the second postulate in special relativity

Can Special Relativity Be Derived from Galilean Mechanics Alone?

Simplified single postulate theory of relativity

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