Derivation of the Quantum Probability Rule without the Frequency Operator

TL;DR

This paper offers a new proof of the quantum probability rule that avoids using the frequency operator, addressing criticisms and aligning with the many-worlds interpretation of quantum mechanics.

Contribution

It introduces an alternative proof of the quantum probability rule that circumvents the frequency operator, providing a perspective aligned with the many-worlds interpretation.

Findings

Proof avoids the frequency operator

Addresses recent criticisms of previous proofs

Supports the many-worlds interpretation

Abstract

We present an alternative frequencists' proof of the quantum probability rule which does not make use of the frequency operator, with expectation that this can circumvent the recent criticism against the previous proofs which use it. We also argue that avoiding the frequency operator is not only for technical merits for doing so but is closely related to what quantum mechanics is all about from the viewpoint of many-world interpretation.