About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave

Details About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave About Some Problems Raised by the Relativistic Form of De-Broglie--Bohm Theory of Pilot Wave

2001-09-05

arxiv.org/abs/quant-ph/0109025v1

Physics

Quantum Physics

13 pages, RevTeX. To appear in Physica Scripta, 2001

Scientific paper

10.1238/Physica.Regular.064a0041

The standard relativistic de-Broglie--Bohm theory has the problems of tacyonic solutions and the incorrect non-relativistic limit. In this paper we obtain a relativistic theory, not decomposing the relativistic wave equations but looking for a generalization of non-relativistic Bohmian theory in such a way that the correct non-relativistic limit emerges. In this way we are able to construct a relativistic de-Broglie--Bohm theory both for a single particle and for a many-particle system. At the end, the theory is extended to the curved space-time and the connection with quantum gravity is discussed.

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