A Broader View of Relativity - General Implications of Lorentz and Poincaré Invariance

Hsu, Jong-Ping; Hsu, Leonardo

doi:10.1142/9789812774286

Cited by 15 publications

(20 citation statements)

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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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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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“…They reduce to the Wu transformation in the limit of constant-linear-acceleration, i.e., α(w) → α o , [16,17,18] …”

Section: Translation Gauge Transformations and Accelerated Framesmentioning

confidence: 99%

“…Moreover, equations (6) and (8) indicate that all constant-linear-acceleration frames have the metric tensor of the form P µν = (W 2 c , −1, −1, −1) because dα(w)/dw = 0 and α(w) = α o . [18] The existence of the finite space-time transformations between inertial frames and general-linearacceleration frames implies that the space-time associated with the general-linearacceleration (and constant-linear-acceleration) frames is flat. [20] Thus, the physical space-time of all these general frames is characterized by zero Riemann-Christoffel curvature tensor, R λ µνα = 0.…”

Section: Translation Gauge Transformations and Accelerated Framesmentioning

confidence: 99%

“…The reason is that there is simply no equivalence between inertial and non-inertial frames. Therefore, the physics of quantum fields in these non-inertial frames are much more involved [18] and does not have the elegant Lorentz and Poincaré invariance. In view of these differences between inertial and non-inertial frames, the metric tensor P µν for such a class of general non-inertial frames may be called the Poincaré metric tensor.…”

Section: Translation Gauge Transformations and Accelerated Framesmentioning

confidence: 99%

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Yang–mills Gravity in Flat Space–time I: Classical Gravity With Translation Gauge Symmetry

Hsu

2006

Int. J. Mod. Phys. A

Self Cite

111

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We formulate and explore the physical implications of a new translation gauge theory of gravity in flat space-time with a new Yang-Mills action, which involves quadratic gauge curvature and fermions. The theory shows that the presence of an "effective Riemann metric tensor" for the motions of classical particles and light rays is probably the manifestation of the translation gauge symmetry. In the post-Newtonian approximation of the tensor gauge field produced by the energy-momentum tensor, the results are shown to be consistent with classical tests of gravity and with the quadrupole radiations of binary pulsars.

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“…Indeed there are several in the literature, some of which are consistent with existing experimental tests. [6,7] The lack of a consensus choice is more a reflection of the fact that establishing such a rotational transformation is not viewed as critical to advancing our understanding of physics. In this comment, we use one such exact transformation [8] to re-analyze Thim's experiment, finding that his null result is fully consistent with the predictions of this transformation.…”

Section: Introductionmentioning

confidence: 99%

Thim’s experiment and exact rotational space-time transformations

Hsu

2014

Eur. Phys. J. Plus

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Abstract-Thim measured the transverse Doppler shift using a system consisting of a stationary antenna and pickup, in addition to a number of intermediate antennas mounted on the rim of a rotating disk. No such shift was detected, although the experiment should have had enough sensitivity to measure it, as predicted by the Lorentz transformations. However, using the Lorentz transformations to analyze the results of experiments involving circular motion, while commonly done, is inappropriate because such an analysis involves non-inertial frames, which are outside the range of validity of special relativity. In this paper, we re-analyze Thim's experiment using exact rotational space-time transformations, finding that his null result is consistent with theoretical predictions.

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A Broader View of Relativity - General Implications of Lorentz and Poincaré Invariance

Cited by 15 publications

References 0 publications

Can Special Relativity Be Derived from Galilean Mechanics Alone?

Can Special Relativity Be Derived from Galilean Mechanics Alone?

Yang–mills Gravity in Flat Space–time I: Classical Gravity With Translation Gauge Symmetry

Thim’s experiment and exact rotational space-time transformations

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