Superdeterminism Without Conspiracy
Tim Palmer

TL;DR
This paper presents a non-conspiratorial superdeterministic model that explains quantum correlations without violating locality or free will, by discretising Hilbert space and analyzing the implications for Bell's Theorem.
Contribution
It introduces a novel locally causal superdeterministic model based on discretised Hilbert space, avoiding conspiracy assumptions and offering a new perspective on quantum foundations.
Findings
Discretised Hilbert space constrains Bell-type free variables.
Quantum mechanics emerges as a continuum limit of the discretised model.
Holistic theories are necessary for unifying quantum and gravitational physics.
Abstract
Superdeterminism - where the Measurement Independence assumption in Bell's Theorem is violated - is frequently assumed to imply implausibly conspiratorial correlations between properties of particles being measured and measurement settings and . But it doesn't have to be: a superdeterministic but non-conspiratorial locally causal model is developed where each pair of entangled particles has unique . The model is based on a specific but arbitrarily fine discretisation of complex Hilbert space, where defines the information, over and above the freely chosen nominal settings and , which fixes the exact measurement settings and of a run of a Bell experiment. Pearlean interventions, needed to assess whether and are Bell-type free variables, are shown to be inconsistent with rational-number constraints on the discretised Hilbert…
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Taxonomy
TopicsQuantum Mechanics and Applications · Statistical Mechanics and Entropy · Computability, Logic, AI Algorithms
