Revised Robertson's test theory of special relativity

Vargas, Jose G.

doi:10.1007/bf00738745

Cited by 16 publications

(4 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The revised Robertson test theory eliminates the constraints on simultaneity of the original theory. 100 The revised Robertson test theory equations are: To determine the value of h(v) in rotating frames, we will derive the equation linking h(v) to the anisotropy signal AS. We showed in Eq.…”

Section: Discussionmentioning

confidence: 99%

Optical data implies a null simultaneity test theory parameter in rotating frames

Kipreos

Balachandran

2021

Mod. Phys. Lett. A

View full text Add to dashboard Cite

The simultaneity framework describes the relativistic interaction of time with space. The two major proposed simultaneity frameworks are differential simultaneity, in which time is offset with distance in “moving” or rotating frames for each “stationary” observer, and absolute simultaneity, in which time is not offset with distance. We use the Mansouri and Sexl test theory to analyze the simultaneity framework in rotating frames in the absence of spacetime curvature. The Mansouri and Sexl test theory has four parameters. Three parameters describe relativistic effects. The fourth parameter, [Formula: see text], was described as a convention on clock synchronization. We show that [Formula: see text] is not a convention, but is instead a descriptor of the simultaneity framework whose value can be determined from the extent of anisotropy in the unidirectional one-way speed of light. In rotating frames, one-way light speed anisotropy is described by the Sagnac effect equation. We show that four published Sagnac equations form a relativistic series based on relativistic kinematics and simultaneity framework. Only the conventional Sagnac effect equation, and its associated isotropic two-way speed of light, is found to match high-resolution optical data. Using the conventional Sagnac effect equation, we show that [Formula: see text] has a null value in rotating frames, which implies absolute simultaneity. Introducing the empirical Mansouri and Sexl parameter values into the test theory equations generates the rotational form of the absolute Lorentz transformation, implying that this transformation accurately describes rotational relativistic effects.

show abstract

Section: Discussionmentioning

confidence: 99%

Optical data implies a null simultaneity test theory parameter in rotating frames

Kipreos

Balachandran

2021

Mod. Phys. Lett. A

View full text Add to dashboard Cite

show abstract

“…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%

“…The most interesting member of this family of transformations was found by Tangherlini [4] and studied by Mansouri & Sexl [5], Chang [6,7] and Rembieliński [8] among others. Particularly, in this transformation the four-dimensional line element is considered as an invariant [2,6,7,8,9,10,11] and, therefore, the Minkowski metric appears modified in the moving system losing its diagonality. As a consequence, the co-variant and contra-variant components have different properties: if the contra-variant component of the temporal coordinate is only dilated, its covariant component mixes space and time; while the opposite happens with the spatial coordinate.…”

Section: Introductionmentioning

confidence: 99%

“…the velocity with respect to the preferred frame). 2 In spite of these facts, the inertial transformations provide a suitable framework within which the effects of time dilatation, Fitzgerald contraction, the relativistic kinematics of particles, the phenomenon of aberration of light and Doppler effect can be satisfactorily explained [13,14,15,16]. Thus, inertial transformations have become a viable alternative to the Lorentz transformation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electrodynamics Under a Possible Alternative to the Lorentz Transformation

Puccini

2003

Foundations of Physics Letters

View full text Add to dashboard Cite

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.

show abstract