Is Quantum Mechanics Compatible with an Entirely Deterministic Universe?

TL;DR

This paper argues that quantum mechanics can be compatible with a deterministic universe by analyzing different Bell inequalities and showing that quantum mechanics aligns with Kolmogorovian probability theory, challenging common interpretations.

Contribution

It clarifies the distinction between Bell inequalities and Pitowsky inequalities, demonstrating that quantum mechanics does not violate Kolmogorovian probability, supporting determinism.

Findings

Bell inequalities are not equivalent to Pitowsky inequalities.

Quantum mechanics does not violate Pitowsky inequalities.

Quantum mechanics is compatible with a Kolmogorovian probability model.

Abstract

A b s t r a c t It will be argued that 1) the Bell inequalities are not equivalent with those inequalities derived by Pitowsky and others that indicate the Kolmogorovity of a probability model, 2) the original Bell inequalities are irrelevant to both the question of whether or not quantum mechanics is a Kolmogorovian theory as well as the problem of determinism, whereas 3) the Pitowsky type inequalities are not violated by quantum mechanics, hence 4) quantum mechanics is a Kolmogorovian probability theory, therefore, 5) it is compatible with an entirely deterministic universe.