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 * Email: SHOJAI@THEORY.IPM.AC.IR † Email: FATIMAH@THEORY.IPM.AC.IR
Recentely [1] it is shown that the quantum effects of matter determine the conformal degree of freedom of the space-time metric. This was done in the framework of a scalar-tensor theory with one scalar field [2,3]. A point with that theory is that the form of quantum potential is preassumed. Here we present a scalar-tensor theory with two scalar fields, and no assumption on the form of quantum potential. It is shown that using the equations of motion one gets the correct form of quantum potential plus some corrections. 98.80.Hw, 03.65.BZ
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