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The conference on Physical Interpretations of Relativity Theory in the Bauman Moscow State Technical University between Monday 29th June to Thursday 2th July 2015, devoted to the 50th Anniversary of the Scientific and Educational Division «Fundamental Sciences» of the Bauman Moscow State Technical University. The objectives of this conference are the same as those pursued in the Physical Interpretations of Relativity Theory (PIRT) conferences which have been held in Imperial College, London, every two years since 1988. These objectives are the physical, geometrical, and mathematical interpretations of the formal structure of Relativity Theory, and to examine the questions concerning the various interpretations of the accepted mathematical expression of the Relativity Principle.