Equivalence Postulate and Quantum Origin of Gravitation
Abstract
We suggest that quantum mechanics and gravity are intimately related. In particular, we investigate the quantum HamiltonJacobi equation in the case of two free particles and show that the quantum potential, which is attractive, may generate the gravitational potential. The investigation, related to the formulation of quantum mechanics based on the equivalence postulate, is based on the analysis of the reduced action. A consequence of this approach is that the quantum potential is always nontrivial even in the case of the free particle. It plays the role of intrinsic energy and may in fact be at the origin of fundamental interactions. We pursue this idea, by making a preliminary investigation of whether there exists a set of solutions for which the quantum potential can be expressed with a gravitational potential leading term which alone would remain in the limit hbar \to 0. A number of questions are raised for further investigation.
 Publication:

arXiv eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:hepth/0005274
 Bibcode:
 2000hep.th....5274M
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Quantum Physics
 EPrint:
 1+19 pages, minor changes and typos corrected, to appear in Found. Phys. Lett