This work introduces a falsifiable symbolic field framework for modeling quantum-like behaviors under explicit structural constraints. Rather than modifying the formalism of quantum mechanics or proposing a new physical ontology, the paper investigates which behaviors associated with quantum systems persist within a restricted class of admissible dynamics—defined as bounded, well-posed, and stable under perturbation. At the core of the framework is a bounded nonlinear stabilizing function, KN, which constrains symbolic field evolution within a modular phase space. Within this constrained regime, phenomena commonly associated with quantum mechanics—interference, collapse-like transitions, entanglement, memory persistence, and decoherence—emerge as structural consequences of resonance, phase alignment, and admissibility filtering rather than as observer-dependent postulates. Using four simulation-based tests, the paper demonstrates that: Linear superposition fails under KN modulation, producing bounded asymmetry rather than cancellation. Symbolic memory decays without active modular reinforcement and persists only under feedback. Collapse-like transitions propagate synchronously across phase-aligned symbolic fields. Decoherence emerges from stochastic phase drift without invoking measurement or observation. The framework reframes collapse as resonance locking, entanglement as modular phase alignment, and decoherence as admissibility failure induced by phase instability. These mechanisms do not alter the empirical predictions of quantum mechanics, but instead clarify the structural conditions under which quantum-like behavior survives. This work is intended as a structural and methodological contribution, providing a constrained symbolic model that complements existing quantum theory and connects ideas from nonlinear dynamics, decoherence, and constructive field theory. It forms part of a broader research program exploring admissibility as a unifying principle across physical, symbolic, and informational systems.
This work introduces a falsifiable symbolic field framework for modeling quantum-like behaviors under explicit structural constraints. Rather than modifying the formalism of quantum mechanics or proposing a new physical ontology, the paper investigates which behaviors associated with quantum systems persist within a restricted class of admissible dynamics—defined as bounded, well-posed, and stable under perturbation. At the core of the framework is a bounded nonlinear stabilizing function, KN, which constrains symbolic field evolution within a modular phase space. Within this constrained regime, phenomena commonly associated with quantum mechanics—interference, collapse-like transitions, entanglement, memory persistence, and decoherence—emerge as structural consequences of resonance, phase alignment, and admissibility filtering rather than as observer-dependent postulates. Using four simulation-based tests, the paper demonstrates that: Linear superposition fails under KN modulation, producing bounded asymmetry rather than cancellation. Symbolic memory decays without active modular reinforcement and persists only under feedback. Collapse-like transitions propagate synchronously across phase-aligned symbolic fields. Decoherence emerges from stochastic phase drift without invoking measurement or observation. The framework reframes collapse as resonance locking, entanglement as modular phase alignment, and decoherence as admissibility failure induced by phase instability. These mechanisms do not alter the empirical predictions of quantum mechanics, but instead clarify the structural conditions under which quantum-like behavior survives. This work is intended as a structural and methodological contribution, providing a constrained symbolic model that complements existing quantum theory and connects ideas from nonlinear dynamics, decoherence, and constructive field theory. It forms part of a broader research program exploring admissibility as a unifying principle across physical, symbolic, and informational systems.
(This version has been superceeded, see v.3) Contemporary approaches to physical unification typically emphasize dynamical laws, interpretive frameworks, or information-theoretic reconstructions. Less attention is given to the structural constraints that determine which physical descriptions can remain coherent and stable under interaction, scale transition, and aggregation. This paper develops a constraint-first analysis of coherence, arguing that persistence and unification require restrictions on admissible physical continuations that are not reducible to dynamics alone. Within the framework referred to here as Quantum Coherence Theory (QCT), coherence is treated not as a fragile quantum resource but as a structural property governed by interaction geometry and constraint density. On this view, classical behavior emerges when accumulated constraints sufficiently narrow admissible evolution, while quantum behavior re-emerges when constraints are relaxed. The account does not introduce new dynamics, collapse mechanisms, or modifications of quantum formalism, but instead clarifies the conditions under which existing formalisms yield stable, unified descriptions. The resulting constraints distinguish QCT from observer-centric, intrinsic-collapse, and purely descriptive decoherence accounts, while remaining compatible with globally unitary dynamics. Formal analysis in later sections develops operational redundancy conditions, admissibility constraints on joint states, and rigidity-style arguments linking redundant record structure to the stability of classical descriptions. These results do not constitute a complete theory of unification, but they narrow the space of physically admissible descriptions and clarify the structural role of coherence in bridging quantum and classical regimes.
This document is part of the Informational Mechanics (IM) framework and is published in the IM-E (Measurement & Operators) series within the IM v0.3 corpus. The paper formalizes an Operator Stability Condition (OSC) that specifies when quantum-mechanical observables exhibit regime-stable invariance under admissible disturbance. Rather than introducing new dynamics or modifying quantum theory, the analysis provides a structural criterion for when operator-defined quantities become persistently comparable and support classical description. Classical emergence is treated as a consequence of operator stability: when observables retain invariant content under admissible measurement and environmental interaction, effective classical structure arises without invoking collapse models, hidden variables, or additional ontological assumptions. The paper introduces no new axioms, dynamical mechanisms, or empirical fits. Its purpose is operational and disciplinary: to clarify the admissibility conditions under which classical description remains scientifically meaningful and to connect foundational admissibility constraints (IM-C series) with downstream structural consequences (IM-D series).
Modern quantum theory offers powerful insights into superposition, entanglement, and decoherence, yet lacks a unifying treatment of information flow, observer participation, and entropy stability within dynamical systems. In this work, we introduce a novel framework based on \textit{probabilistic tensor fields}-a formulation in which quantum evolution, informational geometry, and observer-phase interaction co-emerge from a unified structure. The system is described by a dynamic field Ψμν, composed of a coherent geometric background ⟨Gμν⟩ and a fluctuating informational term σμν. The observer is embedded as a phase function ϕobserver, dynamically interacting with the field to generate localized coherence.This coupling induces entropy suppression, spontaneous convergence (measurement), and classical pattern emergence-without invoking wavefunction collapse. Simulations reveal field-phase locking, entropy decay, vacuum energy damping, and the formation of stable memory attractors through standing-wave coherence. These results provide a new perspective on the quantum-to-classical transition, suggest a field-based alternative to gate-based computation, and offer a mathematically consistent path toward entropy-regulated dynamics. Recent experimental platforms support programmable phase dynamics and coherence engineering \cite{Bloch2008, Indiveri2015}, enabling physical analogs to IOQD simulations. Thereby, we position IOQD as a coherence-driven, phase-adaptive field computation model extending quantum machine learning beyond variational circuits and gate-based logic into non-symbolic, dynamic attractor learning systems.
This preprint addresses a well-known residual problem in decoherence-based accounts of quantum measurement: the emergence of a single, definite outcome. While decoherence successfully explains the suppression of quantum interference through environmental entanglement, it does not by itself provide a physical criterion for why one outcome becomes realized rather than merely dynamically isolated. The paper introduces the ZIP perspective as a minimal, physically motivated complement to decoherence. ZIP does not modify quantum dynamics, introduce wavefunction collapse, hidden variables, or branching universes. Instead, it identifies irreversible entropic stabilization as the mechanism governing outcome selection. Within this framework, multiple informational modes may coexist transiently, but only those configurations that achieve sufficient resistance to entropic diffusion persist as stable physical outcomes. Competing modes dissipate irreversibly into the entropic background. Decoherence remains fully valid as a dynamical description of phase randomization and environment-induced superselection; ZIP operates at the level of structural persistence and irreversibility. The paper further shows how probabilistic outcome weights naturally arise from differences in entropic robustness. In the linearized regime, stabilization likelihood scales quadratically with mode amplitude, yielding the Born rule as a statistical consequence of irreversible informational selection rather than as a fundamental probabilistic postulate. A minimal discriminating criterion between ZIP and decoherence-only interpretations is outlined. If outcome probabilities depend solely on decoherence strength and environmental coupling, ZIP is falsified. Conversely, reproducible correlations between outcome selection and measures of informational stability such as coherence lifetime, structural asymmetry, or resistance to entropic diffusion would support the ZIP interpretation. This work should be read as a technical note on the limits of decoherence-based explanations rather than as a proposal of new fundamental dynamics. It serves as an entry point into the broader ZIP framework, which investigates structural limits of interpretation across quantum theory, cosmology, continuous media, biology, and consciousness. This work is part of the ZIP (Zonal Informational Physics) framework, which studies structural constraints on physical descriptions rather than proposing new dynamical entities.
Foundational problems in physics—including quantum measurement, spacetime emergence, gravitational dynamics, nonlocality, the arrow of time, and the status of physical existence—are typically addressed in isolation, via model-dependent extensions or interpretive assumptions. This work proposes a different approach. We introduce a constraint-based framework, the Closure Admissibility Principle (CAP), which specifies minimal structural conditions any physical description must satisfy in order to be globally consistent. CAP is formulated in operational terms, using admissibility of states, recoverability under refinement, and stability of closed records, without assuming spacetime, dynamics, or ontology a priori. We show that enforcing these constraints induces a unifying closure structure on law-space, from which several persistent foundational puzzles are resolved as structural consequences rather than postulates. In particular, collapse is reclassified as record selection, spacetime and gravity emerge only in compressible regimes, General Relativity appears as an infrared universality class rather than a fundamental law, singularities correspond to failures of admissible description, and null (“nothing”) models are excluded as inadmissible fixed points. The framework is explicitly falsifiable via operational and weak-field tests, and its scope and limits are stated precisely. The results suggest that many foundational paradoxes arise not from incomplete dynamics, but from admitting globally incoherent physical descriptions.
We present an emergent account of quantum theory based on a minimal correlational framework in which no fundamental states, dynamics, or probabilistic axioms are assumed. Quantum behavior arises from admissible decoherent projections that induce equivalence classes of correlational configurations and suppress relational phase information. Effective quantum states are identified with these equivalence classes, while probability emerges as a normalized structural measure over them. The Born rule is recovered as a consistency condition associated with linear representations of equivalence classes, and measurement is reinterpreted as a structural interaction defined by projection rather than as a physical collapse. Decoherence, probability, and classicality are unified as manifestations of restricted access to correlational information stabilized by persistence. Quantum theory is thereby situated as an emergent, regime-dependent description alongside propagation and gravitation, resolving its conceptual puzzles by demoting its formal elements from fundamental postulates to effective constructs.