2002/07/29 by Jaroslaw Wawrzycki, Wawrzycki, Jaroslaw
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0207115
41 pages = 22 pages of main text + 17 pages of Appendix + two pages of References, supported by KBN Grant no. 5 P03B 093 20
arxiv created 2003/10/17 · arxiv updated 2009/11/30
We investigate the interaction of the gravitational field with a quantum particle. First, we give the proof of the equality of the inertial and the gravitational mass for the nonrelativistic quantum particle, independently of the equivalence principle. Second, we show that the macroscopic body cannot be described by the many-particle Quantum Mechanics. As an important tool we generalize the Bargmann's theory of ray representations and explain the connection with the state vector reduction problem. The Penrose's hypothesis is discussed, i.e. the hypothesis that the gravitational field may influence the state vector reduction.