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Preregistered studies of record formation: quantum toy models, causal sets, and near-threshold perception

Tristen Pierson

Published Oct 20, 2026• 0 citations
OpenAlex

Abstract

A collection of preregistered studies on how records form and persist: simulation studies of redundant information records in quantum toy models (central-spin and spin-chain systems) and of counting laws in causal sets, together with secondary-data reanalyses of human experiments on cooperation and on near-threshold visual perception. Each linked project carries its own preregistration; the registration of record for every study is the time-stamped, DOI-bearing registration linked from its project page. All study designs and analysis criteria were frozen before analysis.

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A collection of preregistered studies on how records form and persist: simulation studies of redundant information records in quantum toy models (central-spin and spin-chain systems) and of counting laws in causal sets, together with secondary-data reanalyses of human experiments on cooperation and on near-threshold visual perception. Each linked project carries its own preregistration; the registration of record for every study is the time-stamped, DOI-bearing registration linked from its project page. All study designs and analysis criteria were frozen before analysis.
Quantum Darwinism explains effective classical objectivity through the selective proliferation of information about preferred quantum states into multiple environmental fragments. Its mature formulations operate within quantum theory, using a system-environment decomposition, decoherence or einselection, and information-theoretic or broadcast-structure criteria for redundant accessibility.This paper asks an upstream question from Registration Theory (RT): what makes a physical distinction a record before that record is described as information available to an observer? Canonical RT answers that retained registration is persistent organization constraining later evolution, that a distinction becomes a physical record only when it remains consequential, and that persistent physical organization is prior to information extracted from it.The paper assembles a theorem-backed finite-model chain now available in the RT corpus. Canonical ACRF dynamics supplies write-retain-read consequential history. The exact finite-amplitude ACRF-4 quotient identifies a nine-dimensional host-host-boundary state. The certified consequence-minimality theorem (DOI 10.6084/m9.figshare.34063464) shows that the retained relational boundary contributes irreducible future-consequence directions. The spectrum-preserving ACRF-8 redundant-record theorem (DOI 10.6084/m9.figshare.34063500) then proves an explicit local witness in which one quotient-valid source distinction is written into two disjoint retained fragments that are locally recoverable, counterfactually separable, and independently readable, giving RRT(q)≥2R_{RT}(q)\ge 2RRT​(q)≥2 under the stated criteria.The resulting distinction from Quantum Darwinism is precise but bounded. RT recordhood is consequence-based, while Darwinian objectivity is an accessibility-and-redundancy criterion formulated within quantum theory. The ACRF witness demonstrates redundant retained record formation without assuming Hilbert space, density operators, mutual information, decoherence, einselection, Born probabilities, or an observer-defined environment. Therefore, multiple persistent records of one distinction are not definitionally identical to Quantum-Darwinian redundancy.The paper does not claim that Quantum Darwinism is false or that RT has derived quantum mechanics, decoherence, Born probabilities, a mutual-information redundancy plateau, or macroscopic objectivity. Instead, it proposes a disciplined hierarchy: consequential distinction → retention → persistent record → branching → redundant retained records → redundant accessibility → environmental objectivity. The final two steps remain open in RT. A future bridge must dynamically select and scale multi-host redundancy and map consequence-bearing RT records into quantum environmental fragments that satisfy decoherence and strong objectivity conditions.
Preregistered re-analysis of frozen simulation rows. In a central-spin model, information about the central spin is recorded redundantly in its environment, appearing as a plateau in the mutual-information curve between the system and environment fragments; the plateau's height measures the record's strength. On the substrate of configurations whose plateau is intact at the reference dose of an earlier flip-amplitude dose-response study (36 configurations), this study tests whether the substrate-median plateau height builds monotonically with spin-flip coupling strength across six doses. A single deterministic pass; no new simulation.