Unitary realization of wavefunction collapse

TL;DR

This paper proposes a novel unitary framework for wavefunction collapse, reconciling the collapse postulate with pure unitary evolution by employing Grothendieck group construction inspired by Zurek's environment-assisted invariance.

Contribution

It introduces a new mathematical approach using Grothendieck groups to realize wavefunction collapse unitarily, addressing a fundamental contradiction in quantum theory.

Findings

Provides a unitary model of wavefunction collapse

Utilizes Grothendieck group construction for tensor products

Aligns collapse with pure unitary evolution principles

Abstract

Recent quantum reconstruction projects demand pure unitary time evolution which seems to contradict the collapse postulate. Inspired by Zurek's environment assisted invariance idea, a natural unitary realization of wavefunction collapse is proposed using Grothendieck group construction for the tensor product commutative monoid.