Time, Quantum Mechanics, and Probability

TL;DR

This paper proposes a geometric interpretation of probability inspired by spacetime tense, applies it to Everett's quantum approach, and addresses objections related to probability interpretation.

Contribution

It introduces a novel geometric perspective on probability and applies it to Everett's quantum framework, challenging common objections.

Findings

The geometric interpretation offers a new way to understand probability in quantum mechanics.

Objections to Everett's approach based on probability interpretation are addressed and found unconvincing.

The approach provides a consistent interpretation of probability within the Everett framework.

Abstract

A "geometric" intepretation of probability is proposed, modelled on the treatment of tense in 4-dimensional spacetime. It is applied to Everett's approach to quantum mechanics, as formulated in terms of consistent histories. Standard objections to Everett's approach, based on the difficulties of interpreting probability in its terms, are considered in detail, but found to be wanting.