Comparison-Indexed Record Compatibility in Finite Causal Orders

This conceptual and methodological quantum-foundations paper defines a finite constrained-record model on a causal poset. At a selected comparison event, specified record labels are compatible exactly when they admit an extension over that event's causal past. The paper proves an entailed-literal closure, restriction to earlier comparison events, structural invariance under constrained-system isomorphism, linear-extension independence, and an exact binary cycle-parity and assignment-count criterion. It also gives a terminating audit method for distinguishing compatibility, entailment, uniqueness, persistence, actualization, and the claimed invariance class.The result is deliberately bounded. Comparison-indexed compatibility may be defeated at a later comparison event. The finite construction does not supply outcome selection, probabilities, collapse dynamics, operational record semantics, Lorentz covariance, or a localized AQFT measurement instrument. A detailed non-transfer ledger identifies the additional structures required before finite order-theoretic consistency could support a claim in local quantum field measurement theory.This is a finite conceptual and methodological note, not a new physical theory or empirical prediction.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21632626
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Comparison-Indexed Record Compatibility in Finite Causal Orders

Joseph Hernandez
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Comparison-Indexed Record Compatibility in Finite Causal Orders

Joseph Hernandez
preprint en

Abstract

This conceptual and methodological quantum-foundations paper defines a finite constrained-record model on a causal poset. At a selected comparison event, specified record labels are compatible exactly when they admit an extension over that event's causal past. The paper proves an entailed-literal closure, restriction to earlier comparison events, structural invariance under constrained-system isomorphism, linear-extension independence, and an exact binary cycle-parity and assignment-count criterion. It also gives a terminating audit method for distinguishing compatibility, entailment, uniqueness, persistence, actualization, and the claimed invariance class.The result is deliberately bounded. Comparison-indexed compatibility may be defeated at a later comparison event. The finite construction does not supply outcome selection, probabilities, collapse dynamics, operational record semantics, Lorentz covariance, or a localized AQFT measurement instrument. A detailed non-transfer ledger identifies the additional structures required before finite order-theoretic consistency could support a claim in local quantum field measurement theory.This is a finite conceptual and methodological note, not a new physical theory or empirical prediction.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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Comparison-Indexed Record Compatibility in Finite Causal Orders — Joseph Hernandez · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS