Nonrelativistic para-Lorentzian mechanics

Vargas, Jose G.

doi:10.1007/bf00726268

Cited by 12 publications

(15 citation statements)

References 41 publications

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“…This work highlights that AST is the only viable alternate to SR. Malykin and Vargas have shown that ALT is the only alternate LT that is compatible with classical tests of SR. 1,2 We provide proofs that show that AST is compatible with optical resonator experiments and experiments analyzing frequency changes in oneway light pathways. We also summarize the literature to show that other light speed isotropy/anisotropy experiments are compatible with both AST and SR.…”

Section: Discussionmentioning

confidence: 78%

“…7 Therefore, in experimental settings, the two theories calculate time dilation and length contraction using the same Eqs. (1) and (3) if the measurements are taken from the "stationary" (PRF) reference frame. To illustrate light speeds, light (solid black line) is sent at t = 0 from x = 1 towards x = 0, where it is reflected back towards x = 1.…”

Section: Comparison Of the Lorentz Transformation And Altmentioning

confidence: 99%

“…The null results of Michelson-Morley type experiments are explained by the effects of length contraction and the relativistic stellar aberration angle. 1,24 The null results of Kennedy-Thorndike type experiments are explained by the effects of length contraction, time dilation and relativistic stellar aberration angle. 1,24 Here, we will demonstrate that the shared kinematics of SR and ALT (from the "stationary" perspective) are sufficient to produce null results in optical resonator experiments.…”

Section: Two-way Light Path and Optical Resonator Experimentsmentioning

confidence: 99%

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An approach to directly probe simultaneity

Kipreos

Balachandran

2016

Mod. Phys. Lett. A

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The theory of special relativity derives from the Lorentz transformation. The Lorentz transformation implies differential simultaneity and light speed isotropy. Experiments to probe differential simultaneity should be able to distinguish the Lorentz transformation from a kinematically-similar alternate transformation that predicts absolute simultaneity, the absolute Lorentz transformation. Here, we describe how published optical tests of light speed isotropy/anisotropy cannot distinguish between the two transformations. We show that the shared equations of the two transformations, from the perspective of the "stationary" observer, are sufficient to predict null results in optical resonator experiments and in tests of frequency changes in one-way light paths. In an influential 1910 exposition on differential simultaneity, Comstock described how a "stationary" observer would observe different clock readings for spatially-separated "moving" clocks. The difference in clock readings is an integral aspect of differential simultaneity. We derive the equation for the difference in clock readings and show that it is equivalent to the Sagnac correction that describes light speed anisotropies in satellite communications. We describe an experimental strategy that can measure the differences in spatially-separated clock times to allow a direct probe of the nature of simultaneity.

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Section: Discussionmentioning

confidence: 78%

Section: Comparison Of the Lorentz Transformation And Altmentioning

confidence: 99%

Section: Two-way Light Path and Optical Resonator Experimentsmentioning

confidence: 99%

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An approach to directly probe simultaneity

Kipreos

Balachandran

2016

Mod. Phys. Lett. A

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“…We will determine the Sagnac equations that correspond to the LT and ALT by incorporating the MS parameter values associated with each transformation into Eq. (21). Substituting the ALT MS-parameter values (absolute simultaneity, (v) = 0; time dilation, a(v) = (1 − v 2 /c 2 ) 0.5 ; and length contraction, b…”

Section: (V) Values Alter the Sagnac Effectmentioning

confidence: 99%

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

Kipreos

Balachandran

2021

Mod. Phys. Lett. A

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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.

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“…The complication means that we are going to be led to a spontaneously appearing electroweak theory which derives from the spaceand-time structure represented by Eqs. (1). An independent control of the electroweak theory would be very desirable and said control is going to be provided by the electrodynamics just obtained.…”

Section: P E R S P E C T I V E Smentioning

confidence: 99%