Quantum Boundaries in Minkowski Space

TL;DR

This paper explores invariant boundaries of quantum wave function collapse in Minkowski space, resolving causal paradoxes through the qRule foundation theory and proposing a novel architecture for state reduction limits.

Contribution

It introduces a new invariant boundary framework for quantum collapse in Minkowski space using the qRule theory, addressing causal paradoxes.

Findings

Boundaries limit the range of wave function collapse in spacetime.

Causal and temporal orders of collapse are consistent within the framework.

The boundary architecture is likely universal across foundation theories with invariant collapse.

Abstract

It is claimed in another paper that the collapse of a quantum mechanical wave function is more than invariant, it is trans-representational. It must occur along a fully invariant surface. The obvious surface available for this purpose is that of the backward time cone of the collapse event as proposed by Hellwig and Kraus. This collapse is widely believed to result in paradoxical causal loops that cannot be removed by special relativistic or standard quantum mechanical considerations alone. However, the paradox is resolved when we apply the qRule foundation theory that is developed in the other paper. The causal and temporal orders of state reduction are then found to be in agreement with one another, and the resulting boundaries in Minkowski space are shown to have a novel architecture that limits the range of a Hellwig-Kraus reduction in space and time. Although these boundaries have been worked out using the qRules, they should be the same for any foundation theory that treats the collapse of a wave in an invariant way, and requires that a collapse destroys the possibility of any further influence on itself, as do the qRules. Keywords: measurement, state reduction, wave collapse.