Properties of Invariant Set Theory

TL;DR

This paper clarifies the properties of Invariant Set Theory, addressing misconceptions and inaccuracies in a recent critique, and highlights its distinct features compared to other superdeterministic models of quantum physics.

Contribution

The paper provides a detailed and accurate exposition of Invariant Set Theory, correcting misconceptions and emphasizing its unique properties in the context of quantum foundations.

Findings

Invariant Set Theory differs from the critique's hidden-variable model.

The critique's model bears no relation to Invariant Set Theory.

Invariant Set Theory has specific properties that distinguish it from other superdeterministic models.

Abstract

In a recent paper (arXiv:2107.04761), Sen critiques a superdeterministic model of quantum physics, Invariant Set Theory, proposed by one of the authors. He concludes that superdeterminism is `unlikely to solve the puzzle posed by the Bell correlations'. He also claims that the model is neither local nor $\psi$-epistemic. We here detail multiple inaccuracies with Sen's arguments - notably that the hidden-variable model of quantum physics he uses to critique Invariant Set Theory bares no relation to Invariant Set Theory - and use this opportunity to lay out the properties of Invariant Set Theory as clearly as possible.