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Scaling Up: Superposition and Entanglement as Higher-Order Relational Structures

Clinton Svancara

Published Jan 1, 2026• 0 citations
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Abstract

This paper explores how individual quantum superpositions scale into entangled states from a structural perspective in Relational Field Theory. Entanglement is interpreted as the formation of a higher-order relational structure in which coherence is shared across components. In certain regimes, the joint relational structure can exhibit greater coherence stability than isolated components. This offers a regime-dependent view of how complex quantum behavior emerges, consistent with the framework’s core principle that stable structure requires persistent relational coherence under constraint.

DOI
10.17605/osf.io/rf3ux

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This paper explores how individual quantum superpositions scale into entangled states from a structural perspective in Relational Field Theory. Entanglement is interpreted as the formation of a higher-order relational structure in which coherence is shared across components. In certain regimes, the joint relational structure can exhibit greater coherence stability than isolated components. This offers a regime-dependent view of how complex quantum behavior emerges, consistent with the framework’s core principle that stable structure requires persistent relational coherence under constraint.
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This note explores regime constraints on definite structure formation in quantum systems from the perspective of Relational Field Theory (RFT). Drawing on turbulence-derived insights, it argues that persistent relational coherence and strong local closure are necessary conditions for stable, definite outcomes to emerge. The framing complements existing interpretations by emphasizing the dynamical conditions under which outcome definiteness may become possible, while maintaining scientific modesty and avoiding universal claims.
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This paper establishes a structural interpretation of quantum-like phenomena within the Scalar Drag Emergence Framework (SDEF), a parameter-based ontology in which all behavior arises from the redistribution of conserved, bounded quantities under compatibility constraints. Quantum features—discreteness, coexistence of configurations, measurement outcomes, entanglement-like correlations, and constrained transitions—are shown to correspond to the formation, coexistence, and reconfiguration of coherent regimes: stable, compatibility-satisfying corridor configurations that support persistent propagation. Key correspondences established: Quantum Phenomenon SDEF Structural Interpretation Discrete states Stable parameter-supported coherent regimes Superposition Distributed parameter support across compatible regimes Measurement Symmetry breaking through constraint-driven redistribution Entanglement Ancestry-linked parameter coupling under symmetry preservation Spectral transitions Constrained reconfiguration pathways between stable regimes All behavior follows from redistribution under GPLA fields (Gradient, Persistence, Coherence/Loop integrity, Ancestry), with no additional primitives introduced. Parameters are neither created nor destroyed—only redistributed. Scope: This work is intentionally limited to establishing a structural bridge. It does not attempt to reproduce the full formalism of quantum mechanics, derive specific equations, or provide quantitative mapping to experimental observables. Detailed modeling, measurement protocols, and system-specific applications are deferred to subsequent work. Significance: Demonstrates that a unified, parameter-based structure can support behaviors consistent with quantum phenomenology without extending the underlying ontology, providing a foundation for further development of measurement mappings and quantitative regime modeling.