Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

EMERGENT CORRELATION IN A LOCAL-DETERMINISTIC UNIVERSE: A COMPUTATIONAL PROOF-OF-PRINCIPLE

Rowan Brad Quni-Gudzinas

Published Dec 22, 2025• 0 citations
Publisher

Abstract

This paper investigates the foundational schism between the ontological coherence of superdeterminism and its epistemic rejection by the scientific community. Superdeterminism, a proposed solution to quantum non-locality, preserves locality and realism by rejecting the axiom of Measurement Independence. While often dismissed on methodological grounds as “scientifically sterile” or “conspiratorial,” this critique is challenged through a novel computational approach. We develop a conceptual model of a one-dimensional cellular automaton governed by a local, deterministic, and non-linear update rule to demonstrate that strong, non-local-appearing correlations can emerge dynamically from a generic, non-fine-tuned initial state of random noise. This central claim is substantiated through a comprehensive sensitivity analysis which reveals that the emergent correlation is a robust feature across a wide range of the model’s parameters, achieving a final outcome agreement rate of ~0.9980 for all sufficiently strong coupling strengths. This result provides a direct, computational counterexample to the common objection that superdeterministic correlations must be fine-tuned into the universe’s initial conditions. We argue that the “sterility” critique is a category error—an evaluation of an ontological claim by epistemic rules that presuppose its falsehood. By framing this critique within the context of non-linear dynamical systems theory and simulating a “Lakatosian Agent” bound by the axiom of Measurement Independence, we show how a rational observer is methodologically forced to infer non-locality, even within an explicitly local universe. This work concludes that superdeterminism is a dynamically plausible and ontologically parsimonious framework, and its rejection is a pragmatic, procedural defense of the epistemic conditions necessary for the practice of science, revealing a profound but necessary tension between the nature of reality and our capacity to know it.

DOI
10.5281/zenodo.18015329

Related papers

Emergent Randomness and the Anatomy of Deterministic Decay in Computational Finitism

Nestor Ramos

Standard Quantum Mechanics posits that randomness is ontological, a fundamental feature of reality where outcomes (such as radioactive decay or wave function collapse) are governed by irreducible probabilities (the Born rule). In this paper, we challenge this paradigm through the lens of Computational Finitism. We demonstrate that "quantum randomness" is an emergent property of Computational Irreducibility within a strictly deterministic, finite-alphabet substrate. Using a 1D Modulo-9 Cellular Automaton with non-linear update rules, we generate sequences that pass rigorous statistical tests for randomness (Shannon Entropy > 99.4%, flat autocorrelation) without a single random number generator. Furthermore, we apply this framework to particle physics, modeling gamma emission not as a probabilistic event, but as a deterministic "sawtooth" clock ticking until it hits the Topological Resonance Boundary (TRB = 9), triggering a state reset and photon emission. We conclude that the universe does not roll dice; it computes them.

•Aug 23, 2026•0 citations

Superdeterminism and Naturalness

Emily Adlam

Abstract This chapter discusses epistemic issues arising in superdeterministic accounts of quantum nonlocality. I argue that the specific kind of fine-tuning needed to make superdeterminism work undermines assumptions about the initial state of the universe which are needed to justify the use of memories and records in scientific practice, and thus at least the most naïve version of superdeterminism encounters serious epistemic problems. I then discuss naturalness and fine-tuning more generally, comparing the kind of fine-tuning involved with superdeterminism with other kinds of fine-tuning which have provoked debate in physics and philosophy.

•Jun 12, 2025•0 citations

Exploring alternatives to quantum nonlocality

Indrajit Sen

In this dissertation, we explore two alternatives to quantum nonlocality in a single-universe framework: superdeterminism and retrocausality. These models circumvent Bell's theorem by violating the assumption that the hidden variables are uncorrelated with the measurement settings. In Chapter 1, we introduce superdeterminism and prepare the groundwork for our results in Chapter 2. We start from a review of the topic, focussing on the various qualitative criticisms raised against superdeterminism in the literature. We identify the criticism of 'superdeterministic conspiracy' by Bell as the most serious, and introduce nonequilibrium extensions of superdeterministic models in an attempt to formalise the criticism. We study the different properties of these models, and isolate two conspiratorial features. First, the measurement statistics depend on the physical system used to determine the measurement settings. Second, the formal no-signalling constraints are violated although there is no causal connection between the wings. We quantify in Chapter 2 the two conspiratorial features that we found in Chapter 1. We consider a Bell scenario where, in each run and at each wing, the experimenter chooses one of $N$ devices to determine the local measurement setting. We then show that a superdeterministic model of the scenario has to finely tuned such that measurement statistics do not depend on the physical system used to determine the measurement settings. This quantifies the first form of conspiracy identified in Chapter 1 as a fine tuning. We also show that a superdeterministic model of the scenario requires arbitrarily large correlations, quantified in terms of a formal entropy drop and in terms of mutual information, to be set up by the initial conditions. Such correlations are required to ensure that the devices that the hidden variables are correlated with are coincidentally the same as the devices in fact used for every run at each wing. This quantifies the second form of conspiracy identified in Chapter 2 as an arbitrary large correlation. Nonlocal and retrocausal models turn out to be non-conspiratorial according to both approaches, thereby singling out `conspiracy' as a unique, problematic feature of superdeterminism. In Chapter 3, we change tracks to focus on retrocausality. Our results regarding retrocausal models are, in contrast to superdeterminism, positive. We first show how to construct a local, $\psi$-epistemic hidden-variable model of Bell correlations with wavefunctions in physical space by a retrocausal adaptation of the originally superdeterministic model given by Brans. We show that, in non-equilibrium, the model generally violates no-signalling constraints while remaining local with respect to both ontology and interaction between particles. Lastly, we argue that our model shares some structural similarities with the modal class of interpretations of quantum mechanics. In Chapter 4, focus on the question whether retrocausal models can utilise their relativistic properties to account for relativistic effects on entangled systems. We consider a hypothetical relativistic Bell experiment, where one of the wings experiences time-dilation effects. We show that the retrocausal Brans model, introduced in Chapter 3, can be easily generalised to analyse this experiment, and that it predicts less separation of eigenpackets in the wing experiencing the time-dilation. This causes the particle distribution patterns on the photographic plates to differ between the wings -- an experimentally testable prediction of the model. We discuss the difficulties faced by other hidden variable models in describing this experiment, and their natural resolution in our model due to its relativistic properties. Lastly, we argue that it is not clear at present, due to technical difficulties, if our prediction is reproduced by quantum field theory. We conclude that if it is, then the retrocausal Brans model predicts the same result with great simplicity in comparison. If not, the model can be experimentally tested.

•Dec 9, 2020•0 citations

From statistical dependence to the space of possible superdeterministic theories

Mordecai Waegell, Kelvin J. McQueen

Abstract Bell’s theorem demonstrates that any physical theory that is consistent with the predictions of quantum mechanics, and which satisfies some apparently innocuous assumptions, must violate the principle of local causality . It may therefore be possible to maintain local causality by rejecting one of these other assumptions instead. One possibility that has recently received significant attention involves rejecting the principle of statistical independence (SI). In this paper, we consider the frequency interpretation of SI, which states that $$\rho (\lambda ) \approx \rho (\lambda | Z)$$ , where $$\rho (\lambda )$$ is the relative frequency of an element of an ensemble being in the state $$\lambda$$ , and Z is a label that separates the ensemble into apparently randomly selected sub-ensembles. SI is violated when the sub-ensemble frequency $$\rho (\lambda | Z)$$ fails to be representative of the ensemble frequency $$\rho (\lambda )$$ . We argue that physical theories that systematically violate SI should all be understood as superdeterministic . This perspective on SI sheds light on a number of issues that are being debated in the superdeterminism literature, especially concerning its scope and philosophical consequences. Regarding scope, we argue that superdeterministic theories fall into three categories, deterministic theories with fine-tuned initial conditions, fluke theories, and nomic exclusion theories. We also argue that retrocausal and invariant set theories need not violate SI, which is contrary to how they are normally presented. Regarding philosophical implications, we argue that superdeterminism is incompatible with free will according to some prominent compatibilist accounts. We also argue that although superdeterminism is conspiratorial, it is not unscientific, but pre-scientific.

arXiv:2509.23047•European Journal for Philosophy of Science•Oct 17, 2025•0 citations

On measurement, superdeterminism, free will, and contextuality

Mordecai Waegell

Superdeterminism has received recent attention as a possible path toward a locally causal explanation of the entanglement correlations that appear in experimental tests of Bell's theorem. While the term `superdeterminism' was coined by Bell to refer to restrictions on the free will of experimenters, it was not rigorously defined until recently. It has now been defined as a property of any physical theory that produces systematic violations of statistical independence. Here we focus on formalizing the requirements that being nonsuperdeterministic places on a physical theory, and setting a standard that must be met before we can conclude that a given theory is not superdeterministic. We begin by carefully examining how a physical theory determines what outcomes we observe when performing measurements in terms of ontic states and response functions, and how this differs between superdeterministic and nonsuperdeterministic theories, in terms of the behavior of the types of vetted random sampling procedures that we use in experiments. The core result is that individual samples and measurement outcomes must be representative of the observed distributions, which is explained in detail. This also has a bearing on how measurement settings are chosen by agents, whether freely or randomly, and we argue that this standard ultimately defines what freedom/independence actually mean. We then discuss contextuality, and show that in most cases, superdeterminism is contextual. Finally, we discuss how different physical theories, with different notions of ontic states and response functions, can give rise to the same empirical data, and how the same operational contextuality may appear in different forms.

quant-pharXiv:2604.00311•Quantum Studies Mathematics and Foundations•Apr 2, 2026•0 citations

Local Measurements, Nonlocal Correlations, and Determinism

Souvik Karjee

This work presents a conceptual and semi-formal analysis of quantum entanglement, locality, and determinism, motivated by a thought experiment involving double-slit measurements performed on entangled particles at spacelike separation. While quantum correlations appear instantaneous, the paper demonstrates that no superluminal information transfer or causal influence is required to explain observed outcomes.Building upon the Einstein–Podolsky–Rosen framework and Bell’s theorem, the study distinguishes between local dynamical processes and nonlocal informational correlations encoded in the global quantum state. It argues that measurement outcomes are locally realized yet globally constrained, leading to an effectively deterministic universal description while preserving epistemic uncertainty for observers.The paper reframes quantum nonlocality as a manifestation of global consistency rather than physical influence, offering insights into the relationship between realism, free will, and relativistic causality. The discussion is interpretational in nature and does not introduce new experimental claims, aiming instead to clarify foundational assumptions underlying quantum theory.This work is intended for researchers and students interested in quantum foundations, the philosophy of physics, and the conceptual structure of modern physical theories.

•Dec 24, 2025•0 citations
This paper investigates the foundational schism between the ontological coherence of superdeterminism and its epistemic rejection by the scientific community. Superdeterminism, a proposed solution to quantum non-locality, preserves locality and realism by rejecting the axiom of Measurement Independence. While often dismissed on methodological grounds as “scientifically sterile” or “conspiratorial,” this critique is challenged through a novel computational approach. We develop a conceptual model of a one-dimensional cellular automaton governed by a local, deterministic, and non-linear update rule to demonstrate that strong, non-local-appearing correlations can emerge dynamically from a generic, non-fine-tuned initial state of random noise. This central claim is substantiated through a comprehensive sensitivity analysis which reveals that the emergent correlation is a robust feature across a wide range of the model’s parameters, achieving a final outcome agreement rate of ~0.9980 for all sufficiently strong coupling strengths. This result provides a direct, computational counterexample to the common objection that superdeterministic correlations must be fine-tuned into the universe’s initial conditions. We argue that the “sterility” critique is a category error—an evaluation of an ontological claim by epistemic rules that presuppose its falsehood. By framing this critique within the context of non-linear dynamical systems theory and simulating a “Lakatosian Agent” bound by the axiom of Measurement Independence, we show how a rational observer is methodologically forced to infer non-locality, even within an explicitly local universe. This work concludes that superdeterminism is a dynamically plausible and ontologically parsimonious framework, and its rejection is a pragmatic, procedural defense of the epistemic conditions necessary for the practice of science, revealing a profound but necessary tension between the nature of reality and our capacity to know it.
Standard Quantum Mechanics posits that randomness is ontological, a fundamental feature of reality where outcomes (such as radioactive decay or wave function collapse) are governed by irreducible probabilities (the Born rule). In this paper, we challenge this paradigm through the lens of Computational Finitism. We demonstrate that "quantum randomness" is an emergent property of Computational Irreducibility within a strictly deterministic, finite-alphabet substrate. Using a 1D Modulo-9 Cellular Automaton with non-linear update rules, we generate sequences that pass rigorous statistical tests for randomness (Shannon Entropy > 99.4%, flat autocorrelation) without a single random number generator. Furthermore, we apply this framework to particle physics, modeling gamma emission not as a probabilistic event, but as a deterministic "sawtooth" clock ticking until it hits the Topological Resonance Boundary (TRB = 9), triggering a state reset and photon emission. We conclude that the universe does not roll dice; it computes them.
Abstract This chapter discusses epistemic issues arising in superdeterministic accounts of quantum nonlocality. I argue that the specific kind of fine-tuning needed to make superdeterminism work undermines assumptions about the initial state of the universe which are needed to justify the use of memories and records in scientific practice, and thus at least the most naïve version of superdeterminism encounters serious epistemic problems. I then discuss naturalness and fine-tuning more generally, comparing the kind of fine-tuning involved with superdeterminism with other kinds of fine-tuning which have provoked debate in physics and philosophy.
In this dissertation, we explore two alternatives to quantum nonlocality in a single-universe framework: superdeterminism and retrocausality. These models circumvent Bell's theorem by violating the assumption that the hidden variables are uncorrelated with the measurement settings. In Chapter 1, we introduce superdeterminism and prepare the groundwork for our results in Chapter 2. We start from a review of the topic, focussing on the various qualitative criticisms raised against superdeterminism in the literature. We identify the criticism of 'superdeterministic conspiracy' by Bell as the most serious, and introduce nonequilibrium extensions of superdeterministic models in an attempt to formalise the criticism. We study the different properties of these models, and isolate two conspiratorial features. First, the measurement statistics depend on the physical system used to determine the measurement settings. Second, the formal no-signalling constraints are violated although there is no causal connection between the wings. We quantify in Chapter 2 the two conspiratorial features that we found in Chapter 1. We consider a Bell scenario where, in each run and at each wing, the experimenter chooses one of NNN devices to determine the local measurement setting. We then show that a superdeterministic model of the scenario has to finely tuned such that measurement statistics do not depend on the physical system used to determine the measurement settings. This quantifies the first form of conspiracy identified in Chapter 1 as a fine tuning. We also show that a superdeterministic model of the scenario requires arbitrarily large correlations, quantified in terms of a formal entropy drop and in terms of mutual information, to be set up by the initial conditions. Such correlations are required to ensure that the devices that the hidden variables are correlated with are coincidentally the same as the devices in fact used for every run at each wing. This quantifies the second form of conspiracy identified in Chapter 2 as an arbitrary large correlation. Nonlocal and retrocausal models turn out to be non-conspiratorial according to both approaches, thereby singling out `conspiracy' as a unique, problematic feature of superdeterminism. In Chapter 3, we change tracks to focus on retrocausality. Our results regarding retrocausal models are, in contrast to superdeterminism, positive. We first show how to construct a local, ψ\psiψ-epistemic hidden-variable model of Bell correlations with wavefunctions in physical space by a retrocausal adaptation of the originally superdeterministic model given by Brans. We show that, in non-equilibrium, the model generally violates no-signalling constraints while remaining local with respect to both ontology and interaction between particles. Lastly, we argue that our model shares some structural similarities with the modal class of interpretations of quantum mechanics. In Chapter 4, focus on the question whether retrocausal models can utilise their relativistic properties to account for relativistic effects on entangled systems. We consider a hypothetical relativistic Bell experiment, where one of the wings experiences time-dilation effects. We show that the retrocausal Brans model, introduced in Chapter 3, can be easily generalised to analyse this experiment, and that it predicts less separation of eigenpackets in the wing experiencing the time-dilation. This causes the particle distribution patterns on the photographic plates to differ between the wings -- an experimentally testable prediction of the model. We discuss the difficulties faced by other hidden variable models in describing this experiment, and their natural resolution in our model due to its relativistic properties. Lastly, we argue that it is not clear at present, due to technical difficulties, if our prediction is reproduced by quantum field theory. We conclude that if it is, then the retrocausal Brans model predicts the same result with great simplicity in comparison. If not, the model can be experimentally tested.
Abstract Bell’s theorem demonstrates that any physical theory that is consistent with the predictions of quantum mechanics, and which satisfies some apparently innocuous assumptions, must violate the principle of local causality . It may therefore be possible to maintain local causality by rejecting one of these other assumptions instead. One possibility that has recently received significant attention involves rejecting the principle of statistical independence (SI). In this paper, we consider the frequency interpretation of SI, which states that ρ(λ)≈ρ(λ∣Z)\rho (\lambda ) \approx \rho (\lambda | Z)ρ(λ)≈ρ(λ∣Z) , where ρ(λ)\rho (\lambda )ρ(λ) is the relative frequency of an element of an ensemble being in the state λ\lambdaλ , and Z is a label that separates the ensemble into apparently randomly selected sub-ensembles. SI is violated when the sub-ensemble frequency ρ(λ∣Z)\rho (\lambda | Z)ρ(λ∣Z) fails to be representative of the ensemble frequency ρ(λ)\rho (\lambda )ρ(λ) . We argue that physical theories that systematically violate SI should all be understood as superdeterministic . This perspective on SI sheds light on a number of issues that are being debated in the superdeterminism literature, especially concerning its scope and philosophical consequences. Regarding scope, we argue that superdeterministic theories fall into three categories, deterministic theories with fine-tuned initial conditions, fluke theories, and nomic exclusion theories. We also argue that retrocausal and invariant set theories need not violate SI, which is contrary to how they are normally presented. Regarding philosophical implications, we argue that superdeterminism is incompatible with free will according to some prominent compatibilist accounts. We also argue that although superdeterminism is conspiratorial, it is not unscientific, but pre-scientific.
Superdeterminism has received recent attention as a possible path toward a locally causal explanation of the entanglement correlations that appear in experimental tests of Bell's theorem. While the term `superdeterminism' was coined by Bell to refer to restrictions on the free will of experimenters, it was not rigorously defined until recently. It has now been defined as a property of any physical theory that produces systematic violations of statistical independence. Here we focus on formalizing the requirements that being nonsuperdeterministic places on a physical theory, and setting a standard that must be met before we can conclude that a given theory is not superdeterministic. We begin by carefully examining how a physical theory determines what outcomes we observe when performing measurements in terms of ontic states and response functions, and how this differs between superdeterministic and nonsuperdeterministic theories, in terms of the behavior of the types of vetted random sampling procedures that we use in experiments. The core result is that individual samples and measurement outcomes must be representative of the observed distributions, which is explained in detail. This also has a bearing on how measurement settings are chosen by agents, whether freely or randomly, and we argue that this standard ultimately defines what freedom/independence actually mean. We then discuss contextuality, and show that in most cases, superdeterminism is contextual. Finally, we discuss how different physical theories, with different notions of ontic states and response functions, can give rise to the same empirical data, and how the same operational contextuality may appear in different forms.
This work presents a conceptual and semi-formal analysis of quantum entanglement, locality, and determinism, motivated by a thought experiment involving double-slit measurements performed on entangled particles at spacelike separation. While quantum correlations appear instantaneous, the paper demonstrates that no superluminal information transfer or causal influence is required to explain observed outcomes.Building upon the Einstein–Podolsky–Rosen framework and Bell’s theorem, the study distinguishes between local dynamical processes and nonlocal informational correlations encoded in the global quantum state. It argues that measurement outcomes are locally realized yet globally constrained, leading to an effectively deterministic universal description while preserving epistemic uncertainty for observers.The paper reframes quantum nonlocality as a manifestation of global consistency rather than physical influence, offering insights into the relationship between realism, free will, and relativistic causality. The discussion is interpretational in nature and does not introduce new experimental claims, aiming instead to clarify foundational assumptions underlying quantum theory.This work is intended for researchers and students interested in quantum foundations, the philosophy of physics, and the conceptual structure of modern physical theories.