Gravitation and quantum mechanics of macroscopic objects

TLDR: In this paper, the problem of the reduction of the wave function in quantum theory is treated from a new standpoint, by combining Heisenberg's uncertainty relations with gravitation, quantitative limi tations on the sharpness of the structure of space-time are derived.

Abstract: The problem of the reduction of the wave function in quantum theory is treated from a new standpoint. First, by combining Heisenberg's uncertainty relations with gravitation, quantitative limi tations on the sharpness of the structure of space-time are derived. Second, the resulting uncertainty in space-time structure is incorporated into the equations for the propagation of the quantum-mechanical wave amplitudes. In the resulting theory an initially pure wave function generally develops in time into a mixture. A single pure wave function survives only as long as it corresponds to a sufficiently small spread in the position of any massive part of the system under investigation. Quantitative relations between the mass and the maximum coherent spread in the center-of-mass wave function of a single body are obtained.