Corrigendum: Wave function collapse equation maintains conservation laws with no new constants (2023 J. Phys. A: Math. Theor. 56 355303)

Abstract

Abstract Gillis (2023 J. Phys. A: Math. Theor. 56 355303) proposed a modification of the Schrödinger equation with additional stochastic terms that would result in wave function collapse in accord with the Born probability rule. It was based on the hypothesis that collapse is induced by the entangling interactions that generate correlations between physical systems. It differed from earlier stochastic collapse proposals in that it was completely consistent with conservation laws and did not require the introduction of any new, ad hoc physical constants. In particular, it eliminated the need for a new constant determining the rate at which collapse proceeds by defining variable parameters tied to the rate of variation of the potential energy characterizing the interaction. Some technical problems with that definition were later pointed out to the author. Specifically, the definition used a time derivative in the numerator of the rate parameters, but time derivatives are not well defined in stochastic differential equations. The denominator in the rate parameter was defined as the expectation value of the maximum of the absolute value of the interaction potential energy, but the expressions used were not sufficient to accurately project this value. Both of these problems are corrected in this note. Because the specific definition of the new parameters was given in the appendix to the original paper, that appendix should be replaced as indicated in the body of this note. The main argument of the paper is not affected by these technical changes.