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A Quantum Manifestation Principle for the ClassicalQuantum Boundary

Charlotte Lemoine

Published Jan 1, 2026• 0 citations
OpenAlex

Abstract

We propose an organizational principle for the classical-quantum boundary that focuses on the conditions under which non-classical effects become operationally manifest and experimentally certifiable. Standard decoherence theory explains why quantum signatures become latent in generic environments; we complement this by making explicit the physical conditions that render quantum manifestation robust. Building on Haroche's cavity-QED experiments as a paradigmatic case, we show that measurable mode properties — frequencies, lifetimes, and couplings — depend on boundary conditions, environment, and preparation-measurement protocols. We formalize this through the framework (Ω, C, Ω_eff(C), W, W*(C)), where Ω denotes a reservoir of dynamical degrees of freedom, C the physical and protocol conditions, Ω_eff(C) the context-induced effective modal structure, W a quantum witness, and W*(C) a context-dependent certifiability threshold. A quantum effect is manifest when W(C) > W*(C). We illustrate this principle with cavity QED, the Casimir effect, and atomic clocks. The framework reformulates the classical-quantum boundary as a boundary of conditional manifestability rather than a dichotomy between system types.

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We propose an organizational principle for the classical-quantum boundary that focuses on the conditions under which non-classical effects become operationally manifest and experimentally certifiable. Standard decoherence theory explains why quantum signatures become latent in generic environments; we complement this by making explicit the physical conditions that render quantum manifestation robust. Building on Haroche's cavity-QED experiments as a paradigmatic case, we show that measurable mode properties — frequencies, lifetimes, and couplings — depend on boundary conditions, environment, and preparation-measurement protocols. We formalize this through the framework (Ω, C, Ω_eff(C), W, W*(C)), where Ω denotes a reservoir of dynamical degrees of freedom, C the physical and protocol conditions, Ω_eff(C) the context-induced effective modal structure, W a quantum witness, and W*(C) a context-dependent certifiability threshold. A quantum effect is manifest when W(C) > W*(C). We illustrate this principle with cavity QED, the Casimir effect, and atomic clocks. The framework reformulates the classical-quantum boundary as a boundary of conditional manifestability rather than a dichotomy between system types.
This work is Part 2 of a three‑paper series developing the physical consequences of Postulate P1. Building on the formal framework established in Part 1, this paper develops the dynamical interpretation of quantum behaviour as a direct consequence of representational coherence and structural openness. The analysis introduces the remainder term x and the minimal coherence threshold Cmin⁡, which together determine the transition between classical stability and quantum manifestation.Quantum phenomena—interference, tunneling, superposition, entanglement, and cloud‑chamber tracks—are reinterpreted as expressions of representational multiplicity within an open domain rather than as properties of ontological particles or waves. The paper introduces a modified path‑integral framework in which integration domains are intrinsically incomplete and amplitudes become coherence‑weighted. The classical extremal condition δS=0 is replaced by the structurally mandated condition δS=x, unifying classical and quantum regimes as coherence‑dependent manifestations of the same representational structure.The work further develops the emergence of interaction, symmetry, and conservation laws as coherence‑stability regimes rather than fundamental ontological constraints. Several observational implications are identified, including potential departures from standard quantum mechanics in near‑dissolution, ultra‑low‑coherence, and boundary‑instability regimes. This paper provides the dynamical core of the P1 framework and prepares the way for Part 3, where established physical laws will be derived as limiting cases of maximal coherence.
If frictionless persistence of subatomic particle rotation is enforced by coherence constraints in a particle-supporting environment, then dissipation and coupling to ordinary laboratory degrees of freedom must occur at a boundary where those constraints fail. This paper examines the physical properties of that boundary region, treated not as a geometric surface but as a dynamical interface between two regimes with different allowed processes. Without assuming detailed microphysics, we define a small set of operational boundary parameters—effective thickness, coupling strength, anisotropy, thresholds, dissipation localization, and memory—and show how they map onto long-standing experimental observables in nuclear, atomic, and solid-state physics. We argue that many phenomena traditionally interpreted as intrinsic nuclear or environmental effects may instead be boundary-mediated manifestations of coherence breakdown. A set of discriminating experimental signatures is presented that can distinguish boundary-dominated coupling from bulk dissipation or intrinsic-property models using existing techniques. The aim is to place the coherence-boundary concept at direct experimental risk and to clarify whether such a boundary constitutes a real physical object with measurable properties.
Von Neumann's Hilbert-space formalism of quantum mechanics constitutes a logico-physical theory of observed or measured reality. Imposing the logical constraint of Booleanity, essential for objectively shareable descriptions among observers, reveals the physical meaning of classicality inherently embedded within the formalism itself. Starting from this consideration, the present work reformulates the quantum-classical transition via Hilbert-space classical mechanics (HCM), grounding classicality not in the dynamical limit (ℏ→0\hbar \to 0ℏ→0), but in the logical constraint of Booleanity (i.e., the mutual commutativity of preparable states). Within this state-centric framework, applying the Einstein-Podolsky-Rosen (EPR) criterion alongside locality and measurement independence reduces standard quantum mechanics to the HCM model. Thus, the EPR argument reveals not quantum incompleteness, but the implicit classical boundaries of its own premises. To resolve this impasse, we articulate a nuanced quantum ontology grounded in a fundamental structural bipartition between the observational environment and the observed object, which accommodates three categorical distinctions: ontic, processional, and tropos-existential. Building on this, we propose a criterion of objective reality wherein descriptive objectivity is treated as merely a sufficient condition for physical reality. This addresses the historical Bohr-Einstein ambiguity, enabling the quantum formalism to ontologically unify objective measured phenomena and non-objective observed interference within a context-dependent framework.
This paper develops the regime‑based structure of the coherence parameter c(t) as the organising principle of Level‑1 representational physics. Building on the stabilisation criteria and state‑mapping formalism introduced in Paper 12, it identifies three coherence regimes—high‑c, intermediate‑c, and low‑c—and shows how major quantum and relativistic phenomena arise as direct consequences of transitions between these regimes. Decoherence is reformulated as a fundamental representational drift driven by the monotonic decrease of c(t), rather than as an environment‑induced process. Tunneling is reinterpreted as bandwidth exit: a Level‑1 mode becomes evanescent in low‑coherence regions and reappears when stabilisation becomes possible again. Entanglement and Bell violations are described as manifestations of shared Level‑1 modes, whose breakdown under decreasing coherence naturally yields classical correlations. Horizon‑like behaviour emerges as a coherence boundary rather than a geometric surface. The resulting framework unifies decoherence, tunneling, entanglement, Bell inequalities, and horizon phenomena under a single representational principle. Paper 13 thus provides the dynamical bridge between the operational constructions of Paper 12 and the empirical analyses developed in Paper 14.
Traditional formulations of quantum dynamics emphasize bulk evolution governed by unbounded differential operators. In this work, we introduce a unified operator-theoretic framework demonstrating that physical interaction, measurement, and macroscopic reality are fundamentally boundary-resolved phenomena. We define "boundary mechanics" as the spectral constraint structure governing admissible interactions across an interface, and "boundary dynamics" as the time evolution of interface-localized couplings. By embedding these concepts into bipartite open quantum systems (System-Bath architectures), we prove that classical macroscopic events emerge strictly as boundary-induced decoherence projections (einselection). Furthermore, we establish that dynamical coherence is preserved subject to a strict spectral admissibility condition, providing a necessary and physically robust sufficient criterion characterized by the non-vanishing of the regularized Birman-Schwinger determinant: D_boundary(z) = det2(I + K(z)) != 0. This work goes beyond standard decoherence theory by demonstrating that decoherence alone is insufficient as a criterion for classicality; it must be supplemented by a spectral stability condition at the interface. This yields a closed formalism in which macroscopic observable dynamics are governed entirely by spectrally admissible interface interactions, rigorously bridging Zurek's decoherence theory with the Kato-Rellich theorem and Birman-Schwinger perturbation theory.
This work proposes a minimal ontological framework for interpreting wave–particle duality as a boundary-sensitive manifestation of quantum phenomena on an underlying, physically real but unobservable background. Rather than treating wave-like and particle-like behaviors as competing physical entities, the framework interprets them as distinct modes of manifestation determined by global boundary conditions. Motivated by interference experiments such as the double-slit setup, the study argues that experimental outcomes depend on boundary-induced modifications of a background structure beyond the local particle path. Within this view, wave-like interference corresponds to a nonlocal manifestation shaped by boundary conditions, while particle-like detection corresponds to localized manifestation events at measurement. The proposed interpretation preserves the standard quantum formalism while offering a realist, boundary-centered conceptual perspective that avoids observer-dependent collapse or multi-path particle propagation. The manuscript is provided as a preprint to invite open scientific discussion and critical evaluation.