Revised Robertson's test theory of special relativity: Space-time structure and dynamics

Vargas, Jose G.; Torr, D. G.

doi:10.1007/bf00761283

Cited by 12 publications

(2 citation statements)

References 18 publications

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“…These covering theories [16][17][18][19] are based on the two points: 1) "general Lorentz transformation" or Robertson transformation [20] between ordinary inertial reference frame and the absolute inertial reference; 2) the introduction of synchronization parameter. The physical meaning of synchronization parameter is obvious, of course.…”

Section: Introductionmentioning

confidence: 99%

A covering theory of special relativity

Liu

Li²,

Wang³

2011

Physics Essays

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Under the assumption of closed-path velocity of light invariant, we show both the general expression of velocity of light in an ordinary inertial reference frame and the generalized Lorentz transformation between the ordinary inertial reference frame and the absolute (privileged) reference frame. Although such assumption can not determine theory ambiguously, some significant results can still be obtained by the assumption. Furthermore, the study shows that the relativity of simultaneity is not a universal concept.Comment: 6 pages, 1 figur

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Section: Introductionmentioning

confidence: 99%

A covering theory of special relativity

Liu

Li²,

Wang³

2011

Physics Essays

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“…However, an implicit hypothesis underlying these transformations is the postulate of equality of the one-way velocity of light in all directions. A generalization of the Robertson transformations that eliminates this last postulate was studied by Vargas [2,3]. This new family of transformations, therefore, depends on four arbitrary functions of the velocity of the reference frame.…”

Section: Introductionmentioning

confidence: 99%

Electrodynamics Under a Possible Alternative to the Lorentz Transformation

Puccini

2003

Foundations of Physics Letters

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A generalization of the classical electrodynamics for systems in absolute motion is presented using a possible alternative to the Lorentz transformation. The main hypothesis assumed in this work are: a) The inertial transformations relate two inertial frames: the privileged frame S and the moving frame S ′ with velocity v with respect to S. b) The transformation of the fields from S to the moving frame S ′ is given by H ′ = a(H−v×D) and E ′ = a(E+v×B) where a is a matrix whose elements depend of the absolute velocity of the system. c) The constitutive relations in the moving frame S ′ are given by D ′ = ǫE ′ , B ′ = µH ′ and J ′ = ηE ′ . It is found that Maxwell's equations, which are transformed to the moving frame, take a new form depending on the absolute velocity of the system. Moreover, differing from classical electrodynamics, it is proved that the electrodynamics proposed explains satisfactorily the Wilson effect.

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Revised Robertson's test theory of special relativity: Supergroups and superspace

Vargas

1986

Found Phys

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Revised Robertson's test theory of special relativity: Space-time structure and dynamics

Cited by 12 publications

References 18 publications

A covering theory of special relativity

A covering theory of special relativity

Electrodynamics Under a Possible Alternative to the Lorentz Transformation

Revised Robertson's test theory of special relativity: Supergroups and superspace

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