This manuscript presents a regime-based interpretation of quantum entanglement within a variational dissipative–conservative framework in which irreversibility and constraint are primary. Entanglement is interpreted as the shared persistence of oscillatory structure prior to irreversible collapse and localisation, rather than as a nonlocal interaction or hidden connection. Decoherence and measurement correspond to the accumulation of irreversible constraint that eliminates joint persistence and enforces classical separability. The work does not modify quantum mechanics, introduce new dynamics, or propose hidden variables. Its contribution is explanatory and foundational, clarifying the status of entanglement once quantum behaviour is recognised as a regime-dependent effective description.
This manuscript presents a regime-based interpretation of quantum entanglement within a variational dissipative–conservative framework in which irreversibility and constraint are primary. Entanglement is interpreted as the shared persistence of oscillatory structure prior to irreversible collapse and localisation, rather than as a nonlocal interaction or hidden connection. Decoherence and measurement correspond to the accumulation of irreversible constraint that eliminates joint persistence and enforces classical separability. The work does not modify quantum mechanics, introduce new dynamics, or propose hidden variables. Its contribution is explanatory and foundational, clarifying the status of entanglement once quantum behaviour is recognised as a regime-dependent effective description.
This paper presents a regime-based account of discrete event formation within a variational dissipative–conservative framework in which irreversibility and constraint are primary. Discrete interaction events are shown to arise when multiple jointly persistent oscillatory continuations become dynamically incompatible under accumulating irreversible constraint. Event formation is not treated as a stochastic collapse mechanism, observer-dependent process, or additional postulate, but as the deterministic failure of coexistence once compatibility thresholds are exceeded. The work does not modify quantum mechanics, introduce hidden variables, or propose new dynamical laws. Its contribution is explanatory and foundational, providing the structural link between entanglement, decoherence, and the emergence of classical behaviour.
This deposit contains the paper “Conceptual Positioning of Variational Dissipative–Conservative Frameworks in Quantum Foundations” by Kevin Ellis Anderson. The paper clarifies the conceptual status of variational dissipative–conservative frameworks within the landscape of quantum foundations. Through explicit comparison with Bohmian mechanics, dynamical collapse models, Everettian interpretations, and decoherence-only approaches, the analysis identifies both structural similarities and decisive distinctions. Emphasis is placed on what the framework does not assume or claim. It introduces no stochastic collapse mechanisms, hidden variables, particle ontologies, or many-worlds branching, and it does not modify unitary evolution at the fundamental level. Irreversibility and effective localisation arise dynamically through coupling to dissipative degrees of freedom rather than through axiomatic postulates. The paper also explains why such frameworks do not fall within the classes of theories constrained by standard quantum no-go theorems, due to their structural commitments rather than evasive constructions. By preventing misclassification, this work situates the framework accurately as a regime-based dynamical approach rather than an interpretation or modification of quantum mechanics.
This preprint develops a reduced dynamical description derived from a previously introduced variational dissipative–conservative PDE framework. Starting from a coupled system consisting of a unitary oscillatory field and a dissipative auxiliary field generated by a single free-energy functional, we show how effective decoherence arises when the auxiliary degrees of freedom are coarse-grained. The full system preserves unitary Hamiltonian evolution in the oscillatory sector, while non-unitary behaviour appears only at the reduced level through irreversible coupling. No collapse postulate, stochastic terms, or modification of quantum mechanics is introduced. The work focuses exclusively on decoherence and effective localisation as emergent phenomena within the variational framework and is intended as a companion to the foundational PDE formulation.
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.
This paper develops a dual-domain framework for quantum foundations grounded in a structural distinction between a nonlocal, atemporal coherence domain (denoted −0) and a local, temporal decoherence domain (denoted +1). Quantum states are interpreted as existing within −0, while classical outcomes emerge when these states transition irreversibly into +1 through decoherence and measurement. The framework is not a modification of quantum mechanics but a reinterpretation of its ontological domain. The framework provides a unified ontological account of: quantum entanglement and nonlocal correlations; the absence of superluminal signalling; the emergence of classicality through decoherence; the mass dependence of decoherence rates; and the persistent incompatibility between quantum field theory and general relativity. Within this model, entanglement corresponds to the persistence of a single −0 state across multiple +1 localisations. Measurement is interpreted not as a collapse occurring within spacetime, but as a boundary transition from coherence to localisation. The paper further argues that gravity should not be interpreted as a quantum field propagating within spacetime, but rather as the geometric structure of the coherence–decoherence boundary itself. This perspective offers a principled explanation for the persistent incompatibility between quantum field theory and general relativity — a tension that may arise not from technical deficiency but from a category error: attempting to describe boundary geometry as though it were content within one of the domains it separates.
This deposit contains the paper “Emergence of a Quantum-Analogue Regime from Variational Dissipative–Conservative Dynamics” by Kevin Ellis Anderson. The paper analyses a regime of a previously introduced variational dissipative–conservative partial differential equation framework in which the conservative oscillatory sector admits an effective quantum-like description. Starting from deterministic Hamiltonian evolution coupled to auxiliary dissipative degrees of freedom, the work shows that an amplitude–phase decomposition of the oscillatory field yields a Schrödinger-type equation with an emergent effective Planck constant. The resulting dynamics are formally equivalent to quantum mechanics within a specific regime of validity, while remaining embedded in a broader variational system that also supports decoherent and classical limits. No modification of unitary evolution is introduced, and no stochastic elements, collapse postulates, or hidden variables are assumed. The paper does not propose a revision of quantum theory. Rather, it situates quantum behaviour as a regime arising from deterministic variational dynamics, with effective parameters determined by the underlying free-energy functional and coupling structure.