Physics – Mathematical Physics
Scientific paper
2003-02-04
Physics
Mathematical Physics
This is a version of a paper originally published in Found. Phys.(2001) which includes a corrigenda published in Found. Phys.
Scientific paper
In this paper we scrutinize the so called Principle of Local Lorentz Invariance (\emph{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 (\emph{PIRFs} and \emph{LLRF}$\gamma$\emph{s}) 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 \emph{LLRF}$\gamma$\emph{s} that is associated with the \emph{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 \emph{PLLI}is false. However our find is not in contradiction with the many experimental claims vindicating the \emph{PLLI}, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that \emph{PIRFs}are not physically equivalent.
Rodrigues Waldyr A. Jr.
Sharif Mai
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