Can the Decoherent Histories Description of Reality be Considered Satisfactory?

TL;DR

This paper critically examines the Decoherent Histories approach to quantum mechanics, identifying logical contradictions among its core assumptions and exploring the implications of relaxing these assumptions.

Contribution

It analyzes four key assumptions of the Decoherent Histories approach, demonstrating a logical contradiction among them and discussing the consequences of relaxing each assumption.

Findings

Identifies a logical contradiction among four core assumptions.

Shows that relaxing certain assumptions can resolve the contradiction.

Highlights issues in the interpretative consistency of the Decoherent Histories approach.

Abstract

We discuss some features of the Decoherent Histories approach. We consider four assumptions, the first three being in our opinion necessary for a sound interpretation of the theory, while the fourth one is accepted by the supporters of the DH approach, and we prove that they lead to a logical contradiction. We discuss the consequences of relaxing any one of them.