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How the Solid World We Walk On Emerges: Inertial Persistence as a Victory Over

Humberto Arrabal

Published Jan 1, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.6084/m9.figshare.30992770

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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.
This paper presents a rigorous information-theoretic framework for analyzing quantum decoherence and the mechanism of inertial rest mass generation within open quantum systems. We model spacetime as a primary non-local informational continuum of pure states, structurally regulated by an intrinsic Planck-scale decoherence mechanism operating as a stochastic microstate filter. The transition to a discrete macroscopic reality is formalized via a linear, regularized quantum master equation in the Lindblad form, which successfully eliminates unphysical divergences at the informational saturation limit. We demonstrate that the emergence of inertial rest mass and macroscopic classical inertia is a direct thermodynamic consequence of the cumulative quantized algorithmic information deficit (DbD_bDb​), acting as an information debt quantified in Shannon bits. In accordance with Landauer's principle, this debt enforces a specific thermodynamic heat penalty during state reconfiguration against the invariant Planck temperature of the vacuum substrate. Furthermore, the Cosmic Neutrino Background (CNB) is established as a fundamental physical substrate responsible for global phase synchronization and continuous local entropy calibration via the maximum Quantum Zeno Effect.
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.
Quantum decoherence explains the rapid suppression of interference through massive environmental entanglement. This paper offers a complementary structural interpretation from Relational Field Theory: the environment creates a regime of extremely strong relational closure. In such regimes, certain relational configurations become persistently stable, forming definite macroscopic records, while others remain transient. The result is a regime-dependent view of the quantum-to-classical transition — stabilization outpaces dissipation in strongly coupled environments, giving rise to the classical world as an emergent, stabilized structure. This perspective complements standard decoherence without replacing it.
his paper proposes persistence under stochastic interaction as a unifying physical constraint across quantum, gravitational, and macroscopic regimes. Rather than treating noise as a nuisance or generative force, it is framed as a universal selector that eliminates informational structures incapable of maintaining coherence under compression. Across quantum decoherence, gravitational coarse-graining, renormalization, and entropy production, stable laws emerge not through optimization or design, but through selective survival. Structures that persist do so because they tolerate loss, averaging, and repeated perturbation; those that cannot are eliminated. Physical law is therefore interpreted as residue rather than prescription. The framework formalizes persistence as an informational viability condition, independent of substrate or ontology, and integrates results from decoherence theory, renormalization group flow, and gravitational thermodynamics. It predicts abrupt regime transitions, scaling cliffs, hysteresis, and lawful failure modes rather than smooth unification. This work extends the Living Information Theory (LIT) program by positioning persistence as a primitive constraint shaping which physical regularities can exist at all.