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Emergent Inertial Persistence: A Phenomenological Ratio between Higgs Mass Scales

Humberto Arrabal

Published Jan 1, 2025• 0 citations
Publisher

Abstract

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.

DOI
10.6084/m9.figshare.30983236

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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 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.
Why is the world we see so firm and predictable? While decoherence explains the loss of quantuminterference through environmental interaction, it does not fully account for the structural solidity ofmatter. We propose that classicality requires a second ingredient: inertial persistence. We introducethe Persistence Ratio PT = H/D, where H is the rest-mass energy (mc2) and D is the energy scale ofenvironmental decoherence noise. By analyzing particles within the Cosmic Microwave Background(CMB), we show that for electrons (PT ∼ 1025) and protons (PT ∼ 1042), mass-energy dominatesenvironmental jitter, allowing stable classical structures to emerge. We conclude that Newton’sF = ma is not a fundamental law, but an emergent description of states heavy enough to stand firmagainst the relentless quantum static of the cosmos.
We propose a unified theoretical framework explaining the emergence of macroscopic soliditythrough competition between energy scales. Introducing the Persistence Ratio PT = Ec/ℏΓ, wedemonstrate that the quantum-to-classical transition occurs when the system’s characteristic energydominates environmental decoherence rates. Explicit calculations for electrons and protons underthe cosmic microwave background (CMB) yield P(e)T ≈ 9.5×1031 and P(p)T ≈ 5.9×1063, explainingtheir classical stability. Newton’s laws emerge as the asymptotic limit of systems with high inertialpersistence, providing a quantitative criterion for classicality beyond mere decoherence.
Concept of inertial mass is not well defined in physics. For defining inertial mass of a particle we need to know its acceleration under some force in an inertial reference frame, which itself is defined by the motion of its background objects. Therefore, the inertial mass of a particle is not completely its intrinsic property and depends on the position of the particle itself and and all other particles (which we refer as background) in the universe. But the background of a particle keeps on fluctuating randomly due to different physical phenomenon in the universe. Therefore, the exact position or the mass of a particle can not be determined at any time, without having full information about all the other particles in the universe. Hence, in this paper, we define the dynamics of a particle statistically. We show that the fluctuations in the background of an object contributes to an extra energy term in the total energy of the particle. If we treat this extra energy term as the quantum potential then it leads to the Schrodinger equation. Some examples are also given to show how a classical interpretation can be given to some quantum mechanical phenomenon.
The quantum–classical divide remains one of the most persistent conceptual challenges in modern physics. Conventionally, this transition is explained through decoherence— the environment-induced loss of phase coherence via interaction with external degrees of freedom. While phenomenologically successful, decoherence theory does not provide a fundamental mechanical substrate for why quantum behavior emerges preferentially at small scales and vanishes systematically at large ones. It remains a statistical account rather than a mechanistic one. The Absolute Medium (AM) framework offers an alternative foundation by re-conceptualizing spacetime not as an abstract arena, but as a Universal Force Continuum— a baseline of potential energy that precedes and underlies physical matter. In this formulation, the vacuum is characterized not by emptiness but by structured tension, where the “graininess” emerges from equilibrium conditions within the continuum itself.This graininess is quantified by the Energetic Net, defined by the fundamental length scale Lfund ≈ 3.34 nm. This scale represents the characteristic spacing at which the continuum’s tension reaches local equilibrium, creating a natural lattice structure. The continuum is neither rigid nor fluid in conventional terms, but exists in a state of dynamic equilibrium where its tension field supports both wave-like propagation and particle-like anchoring. This intrinsic structural property of the vacuum introduces a natural scale separation that defines two distinct dynamical regimes:• Slippage (Quantum) Regime (d < Lfund, m < mcrit): Particles interact with the continuum through local tension fluctuations without engaging its equilibrium structure. Their motion is governed by stochastic variations in the continuum’s potential field, yielding emergent quantum behavior.• Bulk-Coupled (Classical) Regime (d ≥ Lfund, m ≥ mcrit): Objects span multiple equilibrium nodes of the continuum, engaging its fundamental structure. They must displace the continuum’s equilibrium configuration, triggering deterministic volumetric coupling that recovers classical mechanics. This proposal replaces abstract decoherence with a concrete mechanical transition rooted in the continuum properties of the vacuum. It offers a first-principles explanation for the emergence of both quantum and classical dynamics from a unified energetic continuum, with the transition governed by intrinsic properties of the medium rather than external interactions.
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