PIRSA:22120071

# Analysis of the superdeterministic Invariant-set theory in a hidden-variable setting

### APA

Sen, I. (2022). Analysis of the superdeterministic Invariant-set theory in a hidden-variable setting. Perimeter Institute. https://pirsa.org/22120071

### MLA

Sen, Indrajit. Analysis of the superdeterministic Invariant-set theory in a hidden-variable setting. Perimeter Institute, Dec. 21, 2022, https://pirsa.org/22120071

### BibTex

          @misc{ pirsa_22120071,
doi = {10.48660/22120071},
url = {https://pirsa.org/22120071},
author = {Sen, Indrajit},
keywords = {Quantum Foundations},
language = {en},
title = {Analysis of the superdeterministic Invariant-set theory in a hidden-variable setting},
publisher = {Perimeter Institute},
year = {2022},
month = {dec},
note = {PIRSA:22120071 see, \url{https://pirsa.org}}
}


Indrajit Sen Chapman University

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Talk Type
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## Abstract

Superdeterminism has received a recent surge of attention in the foundations community. A particular superdeterministic proposal, named Invariant-set theory, appears to bring ideas from several diverse fields (eg. number theory, chaos theory etc.) to quantum foundations and provides a novel justification for the choice of initial conditions in terms of state-space geometry. However, the lack of a concrete hidden-variable model makes it difficult to evaluate the proposal from a foundational perspective.

In this talk, I will critically analyse this superdeterministic proposal in three steps. First, I will show how to build a hidden-variable model based on the proposal's ideas. Second, I will analyse the properties of the model and show that several arguments that appear to work in the proposal (on counter-factual measurements, non-commutativity etc.) fail when considered in the model. Further, the model is not only superdeterministic but also nonlocal, $\psi$-ontic and contains redundant information in its bit-string. Third, I will discuss the accuracy of the model in representing the proposal. I will consider the arguments put forward to claim inaccuracy and show that they are incorrect. My results lend further support to the view that superdeterminism is unlikely to solve the puzzle posed by the Bell correlations.

Based on the papers:

1. I. Sen. "Analysis of the superdeterministic Invariant-set theory in a hidden-variable setting." Proc. R. Soc. A 478.2259 (2022): 20210667.

2. I. Sen. "Reply to superdeterminists on the hidden-variable formulation of Invariant-set theory." arXiv:2109.11109 (2021).