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Entanglement as Shared Temporal Structure in the Scalar Temporal Field Ontology

Cale Scott Howe

Published Jan 10, 2026• 0 citations
Publisher

Abstract

This paper provides a conservative reinterpretation of quantum entanglement within the Scalar Temporal Field Ontology (STFO), in which time is represented as a strictly monotonic scalar field τ(x). Entangled systems are shown to be correlated not through superluminal influence or hidden-variable dynamics, but through shared temporal history established during joint preparation along τ. Measurement outcomes arise through local temporal decoherence and stabilization of macroscopic record sectors, while observed Bell correlations reflect non-factorizable global structure in τ-ordered histories. The account preserves local causality—no dynamical interaction exceeds the speed of light—while admitting an ontologically global temporal structure. The framework respects Bell’s theorem and the no-communication theorem, reproduces all empirical predictions of quantum mechanics, and remains fully consistent with prior STFO results on probability and wavefunction collapse.

DOI
10.5281/zenodo.18209642

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This paper provides a conservative reinterpretation of quantum entanglement within the Scalar Temporal Field Ontology (STFO), in which time is represented as a strictly monotonic scalar field τ(x). Entangled systems are shown to be correlated not through superluminal influence or hidden-variable dynamics, but through shared temporal history established during joint preparation along τ. Measurement outcomes arise through local temporal decoherence and stabilization of macroscopic record sectors, while observed Bell correlations reflect non-factorizable global structure in τ-ordered histories. The account preserves local causality—no dynamical interaction exceeds the speed of light—while admitting an ontologically global temporal structure. The framework respects Bell’s theorem and the no-communication theorem, reproduces all empirical predictions of quantum mechanics, and remains fully consistent with prior STFO results on probability and wavefunction collapse.
This paper presents the Scalar Temporal Field Ontology (STFO) as a unified and conservative framework for quantum measurement. Rather than modifying quantum dynamics or introducing new stochastic laws, STFO treats time as a strictly monotonic scalar field τ(x) that induces an objective foliation of physical histories. The paper synthesizes four complementary results: (i) probability as τ-sampling yielding the Born rule, (ii) outcome definiteness as temporal decoherence, (iii) entanglement as shared temporal history, and (iv) quantum randomness as coarse-grained access to temporal microstructure. Together, these results provide a complete account of quantum measurement that preserves global unitarity and all empirical predictions of quantum mechanics. The framework explicitly respects Bell’s theorem, Gleason’s theorem, the Kochen–Specker theorem, the no-communication theorem, and the Conway–Kochen Free Will Theorem, while achieving ontological parsimony relative to branching or hidden-variable interpretations.
This paper provides a conservative account of quantum randomness within the Scalar Temporal Field Ontology (STFO), in which time is represented as a strictly monotonic scalar field τ(x). Rather than interpreting randomness as fundamental indeterminism or as arising from hidden-variable dynamics, the paper argues that apparent randomness is operational, resulting from coarse-grained access to fine temporal microstructure along τ. Individual measurement outcomes are shown to be intrinsically unpredictable under finite observational resolution, while ensemble statistics emerge from τ-sampling over stabilized macroscopic record sectors and reproduce the Born rule. The account preserves global unitarity, respects Bell, Kochen–Specker, and Conway–Kochen Free Will Theorem constraints, and introduces no modification of quantum dynamics. This work completes the STFO measurement framework alongside prior results on probability, wavefunction collapse, and entanglement, while preserving all empirical predictions of quantum mechanics.
This paper provides a conservative reinterpretation of wavefunction collapse within the Scalar Temporal Field Ontology (STFO), in which time is represented as a strictly monotonic scalar field τ(x). Measurement is treated as an environmentally-induced process of temporal stabilization of macroscopic record sectors along τ. It is shown that collapse does not correspond to a dynamical discontinuity, observer-dependent postulate, or modification of unitary quantum evolution. Instead, collapse is identified with the irreversible loss of τ-coherence between record sectors due to environmental coupling, resulting in restriction of future inference to a single τ-stable sector. Non-realized branches are not eliminated but become temporally disconnected from the observer’s future trajectory along τ. The account is fully compatible with standard decoherence theory and environment-induced superselection (einselection), while supplying a physical temporal arrow governing irreversibility. The paper preserves the empirical content of quantum mechanics and reframes collapse as a temporal phenomenon rather than a fundamental dynamical process.
The Scalar Temporal Field Ontology (STFO) treats time as a physical scalar field whose spacetime gradients define causal ordering and temporal directionality. While prior work established the classical dynamics and effective field theory structure of STFO, a consistent formulation of quantum mechanics requires that quantum evolution be defined without reference to an external time parameter. In this work quantum mechanics is derived as unitary evolution along the temporal scalar field itself. Using a covariant path integral formulation, Schrödinger evolution is shown to arise as a gauge-fixed description of dynamics along the normalized temporal congruence. Measurement and the emergence of classical behavior follow from controlled temporal decoherence induced by EFT-suppressed matter couplings. The framework preserves standard quantum mechanics in weak-field regimes while predicting small, environment-dependent deviations accessible to precision experiments.Note:Earlier unified formulations of the Scalar Temporal Field Ontology admit an intrinsic ultraviolet regularization through nonlinear temporal feedback that dynamically saturates stress–energy. In the present phenomenological and quantum analyses, we work explicitly in the controlled low-energy effective limit of this theory, where predictions can be extracted and compared to observations without invoking the full ultraviolet dynamics.
Quantum entanglement produces correlations that violate classical locality constraints while remaining fully consistent with relativistic no-signaling. Although standard quantum mechanics predicts these correlations with extraordinary empirical success, the ontological meaning of entangled states and the physical status of wave-function collapse remain deeply debated. This paper develops a speculative but structured informational interpretation in which entangled subsystems are modeled as multiple local realizations of a single shared informational identity within an underlying finite-capacity substrate. The framework is articulated through explicit postulates, density-matrix analysis, entanglement entropy, a toy realization scheme, and an informational identity operator acting on composite states. Within this view, nonlocal correlations arise not from superluminal causal influence but from ontological non-separability at the informational level. Measurement is interpreted as informational resolution: a reduction of degeneracy in the local realization of a shared informational structure. The irreversible stabilization of outcomes is then linked to thermodynamic cost through Landauer-type reasoning. The proposal is not advanced as a replacement for quantum mechanics, nor as a fully worked-out hidden-variable theory, but as an ontological scaffold intended to unify entanglement, collapse, and thermodynamic irreversibility within an informational perspective. Compatibility with Bell inequalities, decoherence, basis selection, and no-signaling is discussed in detail, together with limitations and possible routes toward future formalization and empirical relevance.
Version 2: Replaced Word file with properly formatted PDF. No changes to scientific content. --- We argue that quantum entanglement is best understood as the structural non-factorizability of joint continuation measures in a pregeometric framework — one that presupposes neither a background Hilbert space nor a background spacetime. This thesis has direct implications for the interpretation of Bell non-locality, the debate between ontic and epistemic structural realism, and the question of whether entanglement is a fundamental feature of reality or an artifact of quantum-mechanical representation. Within Temporal Rate Ontology (TRO), physical systems are modelled as directed acyclic graphs (DAGs) of continuation events, and entanglement is defined as the non-existence of a product decomposition of the joint continuation measure — a purely combinatorial condition that requires no wavefunction and no shared configuration space. We prove that this structural condition entails the standard correlated measurement outcomes of quantum mechanics, under a mild non-degeneracy condition on the joint DAG that is generically satisfied. The quadratic probability rule is derived from an aggregation-stability argument within the CLT regime rather than postulated. Bell non-locality is reinterpreted as global DAG coherence rather than superluminal influence. Decoherence is modelled as constraint-induced suppression of continuation multiplicity. The framework is situated against relational quantum mechanics, causal set theory, and ontic structural realism, and philosophical objections concerning subsystem identity, underdetermination, and the emergence of the Hilbert space are addressed directly.