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Entanglement as Boundary-Resolved Symmetry: A Mirror-Pair Interpretation of Quantum Correlation

Joel Lesperance

Published Mar 26, 2026• 0 citations
Publisher

Abstract

This paper presents a structural interpretation of quantum entanglement using a mirror-pair hinge framework. Rather than treating entangled systems as spatially separated entities connected by nonlocal influence, entanglement is described as a single relational structure expressed across boundary-separated observations. Measurement is interpreted as a boundary-resolution event that collapses the system into a symmetry-consistent configuration. This approach preserves standard quantum predictions while providing a geometry-first interpretation of correlation without invoking signal transfer.

DOI
10.5281/zenodo.19241579

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This paper presents a structural interpretation of quantum entanglement using a mirror-pair hinge framework. Rather than treating entangled systems as spatially separated entities connected by nonlocal influence, entanglement is described as a single relational structure expressed across boundary-separated observations. Measurement is interpreted as a boundary-resolution event that collapses the system into a symmetry-consistent configuration. This approach preserves standard quantum predictions while providing a geometry-first interpretation of correlation without invoking signal transfer.
Quantum entanglement remains one of the most conceptually unresolved phenomena in modern physics. Although quantum mechanics predicts experimental outcomes with exceptional accuracy, the ontological interpretation of nonlocal correlations remains open to debate. This paper presents a conceptual relational interpretation proposal in which entangled systems originate from a unified invariant informational structure. Under this framework, measurement is not treated as passive observation of pre-existing classical values, but as a contextual projection process interacting with an underlying shared state. The proposal suggests that entangled particles may remain contextual projections of a deeper unified relational structure rather than fully independent separated systems exchanging information after separation. To clarify the concept, the paper introduces a software architecture analogy in which multiple observable variants may share the same immutable core state while generating contextual outputs depending on interaction and input configuration. Under this interpretation, correlated quantum outcomes may emerge from shared invariant structure rather than post-separation communication. The paper also introduces a complementary Color Sphere analogy representing a unified quantum state containing structured relational information. Different measurement configurations generate distinct projections of the same underlying structure while preserving internal relational consistency. This proposal does not claim experimental verification or a complete mathematical replacement for quantum mechanics. Instead, it offers a conceptual and philosophical framework intended to motivate future mathematical, informational, or relational approaches toward understanding entanglement, measurement, and structural consistency in physical reality.
This paper presents a structural interpretation of quantum measurement within the Scalar Drag Emergence Framework (SDEF), in which physical systems are described in terms of corridor morphology and an ancestry field governing coherence and constraint. In this formulation, measurement is defined as a mapping from an underlying structural configuration to observable outcomes under imposed constraints. Particles are interpreted not as fundamental entities, but as localized realizations of this mapping. Observable probabilities arise from the geometry of projection between structure and constraint, rather than from intrinsic randomness of independent objects. Entanglement is reinterpreted as the non-separability of corridor morphology, and Bell correlations emerge naturally from the non-factorizability of the mapping process. The framework reproduces standard quantum predictions, including the cosine correlation law and maximal Bell violation, as a consequence of symmetry. Quantum mechanics is identified as a symmetry-dominant regime corresponding to spatially uniform ancestry, in which transport remains non-selective and structural selection is inactive. Beyond this regime, the framework predicts structured, anisotropic deviations from ideal behavior in non-equilibrium or high-energy environments. This work does not modify quantum mechanics, but provides a coherent structural basis for understanding measurement, entanglement, and correlation within a unified conceptual model.
This paper presents an intuitive, mechanistic explanation of quantum entanglement using standard physics language while incorporating deeper insights aligned with the MID/QC framework. Entanglement is typically described as a correlation between two particles that persists across distance, but standard quantum mechanics does not provide a physical mechanism for how this correlation is maintained. In this interpretation, entanglement arises when two quantum systems interact closely enough for the underlying medium to form a single coherent oscillation pattern spanning both. After separation, each system remains a boundary expression of this shared structure. Measurement does not transmit information; it reveals the state of the pre existing coherence pattern. This approach preserves all quantum predictions while offering a clear physical mechanism for entanglement, correlation, and decoherence.
Abstract Quantum Entanglement under B_U: Nonlocal Equivalent Settlement, Tensor Non-Factorization, and Mother-Structure Alignment redefines quantum entanglement within the framework of single-universe boundary consistency. The paper argues that entanglement is not a mysterious communication between two already independent particles, nor a pointwise inner product between two spatial locations in L^2(U). It is the manifestation of one global state across multiple projection interfaces. Formally, the total readable field space may be represented as H_{\mathrm{Total}}=L^2(U,d\mu), while two projected subsystems are described by H_A=L^2(U_A,d\mu_A), H_B=L^2(U_B,d\mu_B), and H_{AB}=H_A\otimes H_B. Entanglement occurs when \Psi_{AB}\in H_{AB} cannot be factorized as \psi_A\otimes\psi_B. The nonlocal relation is then read through local measurement operators O_A,O_B by the correlation function C_{AB}(O_A,O_B), rather than through a signal or spatial path. Under B_U, this correlation is interpreted as a boundary-constrained kernel \mathcal{K}_{B_U,M}(O_A,O_B;\Psi_{AB}), determined by one mother-structure M, one fixed boundary B_0, and one settlement surface. The central claim is that entangled systems are super-distance equivalent settlement points: separated in projection, aligned in total reality.
This paper presents a unified framework in which light, entanglement, and measurement collapse are interpreted as boundary-phase expressions of a single relational structure. Velocity-based descriptions are replaced with harmonic phase relationships defined within a constrained geometry. Light is modeled as a boundary-invariant phase condition, while entanglement is expressed as a shared symmetry structure resolved across observation boundaries. Measurement is defined as a phase-closure event. This formulation preserves empirical predictions while removing dependence on force, velocity, and signal transmission as primary descriptors.
Quantum entanglement is commonly interpreted either as a manifestation of nonlocal dynamics or as a purely epistemic feature of the quantum state.In this work, we present an alternative explanation based on the Theory of Structural Articulation (TSA), in which entanglement is neither a dynamical interaction nor a property of multiple independent objects. Instead, entanglement is identified with the topological integrity of a single structural defect embedded in a fundamental medium, whose spatially separated boundaries are observed as entangled particles. A strict separation is introduced between (i) the ontological condition of existence of such a defect, expressed as a topological invariant, and (ii) the statistical condition of observation, encoded in a contextual measure of realizability. The framework reproduces the exact quantum correlation E(a,b)=−cos⁡θE(a,b) = -\cos\thetaE(a,b)=−cosθ for singlet states, violates Bell inequalities without superluminal signalling, and provides a physically transparent resolution of the measurement problem within a metriplectic dynamics. The theory further predicts the intrinsic metastability of multipartite (GHZ-type) entanglement and a geometry-dependent modulation of coincidence yield, even in the limit of ideal detectors. These predictions render the model explicitly falsifiable and experimentally distinguishable from standard quantum mechanics.