A defense of Hellwig-Kraus reductions

TL;DR

This paper defends the Hellwig-Kraus covariant state reduction theory against critiques based on thought experiments and causal paradoxes, arguing that it remains consistent and applicable in relativistic quantum mechanics.

Contribution

It provides a detailed rebuttal to criticisms of H-K reductions, affirming their validity and resolving alleged paradoxes in relativistic quantum state reduction.

Findings

H-K theory remains consistent with relativistic principles

Criticisms based on thought experiments are addressed and refuted

No causal loops or boundary condition issues arise from H-K reductions

Abstract

Aharonov and Albert analyze a thought experiment which they believe shows that quantum mechanical state reductions occur along temporal hypersurfaces in Minkowski space. They conclude that the covariant state reduction theory of Hellwig and Kraus does not apply. In Part I of this paper we disagree with this interpretation of the A-A experiment, and show the adequacy of the H-K theory. In Part II we examine the belief that H-K reductions produce self contradicting causal loops, and/or give rise to absurd boundary conditions. These objections to the theory are shown to be unfounded.