Non-mechanical nature of the wave function collapse

TL;DR

This paper proposes a non-mechanical, nonlocal interpretation of wave function collapse using path integrals, suggesting it could enable instantaneous signaling without violating relativity.

Contribution

It introduces a novel approach to wave function collapse as a nonlocal transformation, distinct from mechanical motion, using path integral formalism.

Findings

Collapse is described as a nonlocal transformation of the quantum particle.

This approach allows considering collapse phenomena within the path integral framework.

Collapse may enable instantaneous signaling without breaching relativistic constraints.

Abstract

The wave function transformation of the quantum particle considered as a continuous medium was described by the evolution operator with the kernel in the form of path integral. It is shown that this approach allows considering not only Schrodinger evolution, but and the collapse phenomenon. The collapse entity is the nonlocal transformation of the quantum particle internal structure and it is not connected with its mechanical motion. Probably this fact allows the instantaneous signalling using the collapse without violating relativistic requirements.