Four-dimensional symmetry of taiji relativity and coordinate transformations: III. - Tests of concepts of Reichenbach, Edwards and taiji-time

Leonardo Hsu, Jong Ping Hsu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Based on four-dimensional symmetry framework with Reichenbach's extended concepts of time, Edwards' weaker postulate for the speed of light and taiji-time, we analyze their test by a combination of precise Miehelson-Morley, Kennedy-Thorndike and Ives-Stilwell experiments. Hills and Hall claimed that by using these three precision experiments, one can derive uniquely the Lorentz transformation and exclude other concepts. The derivations are examined within a more general parametrization of linear transformations. We show that, with the Einstein clock synchronization convention, one gets uniquely the Lorentz transformation; without it, the three precision experiments lead to an infinite set of four-dimensional transformations with Lorentz group properties. Thus these experiments are consistent with taiji-time, Reichenbach's extended concept of time and Edwards' weaker postulate for the speed of light. Based on Wu transformations for accelerated frames, we also discuss a test of taiji-time by a generalized Ives-Stilwell experiment involving ions with constant linear accelerations.

Original languageEnglish (US)
Pages (from-to)1147-1156
Number of pages10
JournalNuovo Cimento della Societa Italiana di Fisica B
Volume112
Issue number8
StatePublished - Aug 1997
Externally publishedYes

Fingerprint

Dive into the research topics of 'Four-dimensional symmetry of taiji relativity and coordinate transformations: III. - Tests of concepts of Reichenbach, Edwards and taiji-time'. Together they form a unique fingerprint.

Cite this