Positive probabilities and the principle of equivalence for spin-zero particles in the causal stochastic interpretation of quantum mechanics

Abstract

The effect of gravity on spin-0 particles is discussed in the context of the causal stochastic interpretation of quantum mechanics (SIQM). It is shown through the use of the quantum potential that, for positive probabilities which result from SIQM, the weak principle of equivalence breaks down. The theory nevertheless remains compatible with the geometrical character of quantum gravity.