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Decoherence-Dependent Mass Manifestation: Extending the Persistence Index to

Humberto Arrabal

Published Jan 1, 2026• 0 citations
Publisher

Abstract

We extend the phenomenological framework of the Persistence Index P ≡ H/D [1] to explore theradical hypothesis that Higgs-mediated mass may manifest sequentially after decoherence, ratherthan concurrently. Introducing an Ontological Stabilization Index S, we quantify the probabilitythat a quantum excitation consolidates into a persistent classical entity. The framework reveals threeregimes: robust stabilization (S ≫ 1), fugitive reality (S ∼ 1), and complete instability (S = 0),offering a unified description of the quantum-to-classical transition as ontological consolidation.

DOI
10.6084/m9.figshare.30983332

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We extend the phenomenological framework of the Persistence Index P ≡ H/D [1] to explore theradical hypothesis that Higgs-mediated mass may manifest sequentially after decoherence, ratherthan concurrently. Introducing an Ontological Stabilization Index S, we quantify the probabilitythat a quantum excitation consolidates into a persistent classical entity. The framework reveals threeregimes: robust stabilization (S ≫ 1), fugitive reality (S ∼ 1), and complete instability (S = 0),offering a unified description of the quantum-to-classical transition as ontological consolidation.
We propose a phenomenological framework to quantify the stability of classical rest frames throughthe ratio of two fundamental energy scales: the mass-energy provided by the Higgs mechanism(H) and the energy width of environmental decoherence (D). We define the Persistence IndexP ≡ H/D. While decoherence is the informational mechanism that suppresses quantum interference,the Higgs-mediated mass determines the inertial capacity of the resulting entity to maintain astationary rest frame. We analyze the stability of various particles, distinguishing between stablematter and fugitive classicality.
We propose a conceptual framework in which classical reality, time, and definiteness emerge from the progressive stabilization of physical histories rather than from fundamental collapse mechanisms. Within this framework, gravity is treated not as a quantized interaction nor as a causal agent of state reduction, but as a structural contributor that systematically suppresses extended quantum coherences by reinforcing historical stability. The framework does not modify quantum dynamics and introduces no new fundamental constants. Instead, it provides a regime-based criterion for classicality grounded in the global consistency and persistence of physical histories, offering a unified perspective on decoherence, gravitational effects, and the quantum–classical transition.
Spacetime is not a fundamental arena but a representational interface that becomes valid only when a quantum state's internal relational structure satisfies specific conditions. This work synthesizes established results from quantum foundations, decoherence theory, and emergent spacetime research into a coherent ontology identifying when a wavefunction "licenses" a spacetime description. Three structural conditions must be jointly satisfied: (1) entanglement is sufficiently structured to support connected geometry; (2) entanglement is not so dense as to erase locality through volume-law scrambling; and (3) decoherence suppresses phase relationships enough to produce WKB-stable classical histories. A fourth structural condition: the Higgs field's vacuum expectation value, sets the classical mass spectrum and stabilizes decoherence. When all conditions hold, a subsystem is forced into a classical mode of representation characterized by locality, geometry, causal order, and sequential time. The Big Bang is reframed as the relational event at which these conditions were first satisfied, rather than a temporal origin. The rendering model is then extended to examine cosmological parameters as interface requirements, classical end-time scenarios as failures of the interface (not the substrate), and the metaphysical implications of a universe whose deepest ontology is non-geometric, nonlocal, and non-temporal. Drawing on philosophical traditions from Plato to Bergson alongside modern quantum gravity, the paper concludes that reality is correlation: spacetime is the classical world's shadow of a deeper relational whole, and the wavefunction is the universe.
We propose an effective framework to account for the emergence of time, history, and classical reality from quantum dynamics. The approach distinguishes between processes that occur dynamically and those that consolidate as physical past through the formation of stable, redundant, and irreversible records. We introduce the principle of self-reinforced stability of histories, according to which only certain evolutions can persist as effective physical history under semiclassical dynamics. Within this framework, the quantum–classical transition is described as a continuous and dynamically accelerated crossover, rather than a collapse or a sharp threshold. Classical time emerges locally together with history as an effective ordering associated with irreversibility, and the uniqueness of the past arises as a dynamical consequence rather than a postulate. The framework is compatible with standard quantum mechanics and general relativity within their domains of validity, introduces no inflated ontology, and is falsifiable through the structural exclusion of entire classes of non-observable phenomena.
Description : This work introduces a novel, model-independent diagnostic framework for quantifying quantum decoherence in primordial inflationary perturbations. The study addresses the fundamental problem of the quantum-to-classical transition in cosmology by defining a normalized persistence functional that captures the suppression of quantum coherence over time. Within an open quantum system approach, each perturbation mode is treated as an effective quantum degree of freedom interacting with an environment, leading to Gaussian suppression of off-diagonal density matrix elements. The proposed functional provides a direct and scalable measure of decoherence efficiency without relying on detailed microscopic modeling. A key feature of the framework is the introduction of a residual coherence parameter, which accounts for possible late-time deviations from complete classicalization. The work further establishes a monotonicity property for the decoherence functional and connects the persistence measure to entropy growth, offering an information-theoretic interpretation of the decoherence process. Importantly, the framework suggests a phenomenological link between residual coherence and observable non-Gaussianity in the cosmic microwave background, opening a pathway for potential observational constraints. The proposed diagnostic functional is broadly applicable across inflationary models and provides a unified tool for comparing decoherence efficiency under different environmental interactions. This work lays the foundation for future studies on quantum signatures in cosmological observables and the persistence of quantum features in the early universe. Keywords : Quantum Decoherence Inflationary Cosmology Primordial Perturbations Open Quantum Systems Quantum-to-Classical Transition Non-Gaussianity Cosmological Perturbation Theory Density Matrix Quantum Cosmology Early Universe Physics Decoherence Functional Entropy and Information Theory
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.