2003/02/04 by Waldyr A. Rodrigues, W. A. Rodrigues Jr., M. Sharif +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Relativity and Gravitational Theory #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0302009
This is a version of a paper originally published in Found. Phys.(2001) which includes a corrigenda published in Found. Phys. 32, 811-812 (2002)
arxiv created 2003/02/04 · openalex publication_date 2003/02/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which natural generalizations of the concept of the inertial reference frames of the Special Relativity Theroy. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a defintion of physically equivalent referefrence frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLIis false. However our find is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFsare not physically equivalent.