Quantum Mechanics: Statistical Balance Prompts Caution in Assessing Conceptual Implications

TL;DR

This paper examines the concept of statistical balance in quantum mechanics, highlighting its implications for understanding entanglement and measurement, and urges caution in interpreting these phenomena due to unresolved conceptual issues.

Contribution

It clarifies the evolving meaning of statistical balance in quantum mechanics and discusses its implications for interpreting quantum phenomena and their conceptual foundations.

Findings

Statistical balance is a core but unexplained feature of quantum states.

It affects interpretations of entanglement and measurement outcomes.

Physicists should exercise caution in drawing conceptual conclusions.

Abstract

Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical states, and not yet explained. The concept of "statistical balance" is here explored, comparing its meaning since 2019 with its original meaning in 2001. Statistical balance now refers to a feature of contexts in which: (a) there is a prescribed probability other than 0 or 1 for the collective response of an ensemble to one measurement type; and (b) the collective response of the same ensemble to another measurement type demonstrates that no well-defined value can be attributed, for the property relevant to the original measurement type, to individual members of the ensemble. In some unexplained way, the outcomes of single runs of a measurement of the original type "balance" each other to give an overall result in line with the prescribed probability. Unexplained statistical balance prompts caution in assessing the conceptual implications of entanglement, measurement, uncertainty, and two-slit and Bell-type analyses. Physicists have a responsibility to the wider population to be conceptually precise about quantum mechanics, and to make clear that many possible conceptual implications are uncertain.