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Structural Limits in Friedmann Cosmology

Jakub Slahounek

Published Jan 29, 2026• 0 citations
Publisher

Abstract

This record presents two related contributions to the ZIP framework addressing structural limits in fundamental physics. The primary paper, Structural Limits of Outcome Selection, examines a known residual problem in decoherence-based quantum measurement accounts: the physical selection of a single, definite outcome. While decoherence explains the suppression of interference through environmental entanglement, it does not on its own determine why one outcome is realized rather than merely isolated. This work introduces the ZIP perspective as a minimal, entropic complement to decoherence, preserving standard quantum dynamics while identifying irreversible stabilization as the mechanism governing outcome selection. The paper outlines how differences in entropic robustness can give rise to statistical outcome weights consistent with the Born rule and proposes minimal empirical conditions under which the ZIP interpretation could be distinguished. The companion contribution, Structural Limits in Friedmann Cosmology, applies the ZIP framework to classical cosmological dynamics. It shows that within the standard Friedmann equations, there exists structural degeneracy between additional matter–energy components and large-scale informational coherence effects. A defined ZIP-limit marks the regime beyond which observational data cannot uniquely discriminate between substance-based and structure-based interpretations of cosmic expansion. Together, these papers illustrate how the ZIP approach clarifies interpretative boundaries in quantum and cosmological contexts without modifying underlying dynamical formalisms. This work is part of the ZIP (Zonal Informational Physics) framework, which studies structural constraints on physical descriptions rather than proposing new dynamical entities.

DOI
10.5281/zenodo.18420224

Related papers

Structural Limits of Outcome Selection

Jakub Slahounek

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.

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Abstract This work presents a structural ontology of quantum mechanics grounded in the limits of formal description, rather than in interpretative models. Instead of proposing a new interpretation, modification of equations, or metaphysical extension, the text identifies a missing structural layer implicitly assumed by quantum theory: the necessity of filtration in systems operating beyond formal completeness. Drawing on Gödel’s incompleteness theorems as a structural precedent, the analysis reframes core quantum phenomena — superposition, collapse, entanglement, uncertainty, and wave–particle duality — as expressions of constrained potential rather than paradoxical physical behavior. Quantum mechanics is shown to operate in a pre-physical regime, describing admissible possibilities prior to enforced resolution, while classical physics describes the outcome of irreversible constraint. From this perspective, collapse is not caused by observation, randomness, or consciousness, but by saturation of coherence under applied constraints. Uncertainty emerges as a logical consequence of non-coexistent descriptions within a single formal frame, rather than as an epistemic limitation. The work then generalizes this framework beyond physics, demonstrating that entropy, irreversibility, and systemic collapse arise when systems continue operating beyond their Gödelian limits without a heuristic capable of recognizing formal exhaustion. This leads to a distinction between reintegrative (pre-Gödel) entropy and residual (post-Gödel) entropy regimes, with implications for computation, cognition, artificial systems, and large-scale systemic viability. This document is descriptive, not prescriptive.It introduces no implementations and proposes no cosmological mechanisms.Its contribution is the explicit articulation of structural constraints that any coherent physical or systemic description must satisfy.

•Jan 23, 2026•1 citation
This record presents two related contributions to the ZIP framework addressing structural limits in fundamental physics. The primary paper, Structural Limits of Outcome Selection, examines a known residual problem in decoherence-based quantum measurement accounts: the physical selection of a single, definite outcome. While decoherence explains the suppression of interference through environmental entanglement, it does not on its own determine why one outcome is realized rather than merely isolated. This work introduces the ZIP perspective as a minimal, entropic complement to decoherence, preserving standard quantum dynamics while identifying irreversible stabilization as the mechanism governing outcome selection. The paper outlines how differences in entropic robustness can give rise to statistical outcome weights consistent with the Born rule and proposes minimal empirical conditions under which the ZIP interpretation could be distinguished. The companion contribution, Structural Limits in Friedmann Cosmology, applies the ZIP framework to classical cosmological dynamics. It shows that within the standard Friedmann equations, there exists structural degeneracy between additional matter–energy components and large-scale informational coherence effects. A defined ZIP-limit marks the regime beyond which observational data cannot uniquely discriminate between substance-based and structure-based interpretations of cosmic expansion. Together, these papers illustrate how the ZIP approach clarifies interpretative boundaries in quantum and cosmological contexts without modifying underlying dynamical formalisms. This work is part of the ZIP (Zonal Informational Physics) framework, which studies structural constraints on physical descriptions rather than proposing new dynamical entities.
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.
This trilogy introduces the ZIP framework as an ontological reinterpretation of time, coherence, and cosmological structure. Rather than proposing new physical laws, the framework reexamines the meaning of established formalisms in general relativity, quantum mechanics, and cosmology. The first paper reinterprets gravitational time dilation as a consequence of constrained state change governed by ZIP density, demonstrating full compatibility with relativistic effects observed in satellite-based systems. The second paper extends this interpretation to quantum systems, proposing coherence capacity as the key factor underlying decoherence, measurement, and the emergence of probabilistic outcomes without invoking fundamental time. The third paper addresses cosmology by introducing a pre-informational ontological layer, referred to as consciousness, from which a Fundamental Informational Field (FIF) emerges through self-coherence. The universe is described as a structured region arising from a transitional boundary between pre-informational reality and informational order, offering a consistent account of entropy growth, the arrow of time, and classical structure formation. Together, the trilogy presents a unified conceptual framework in which time, information, and physical structure emerge from deeper ontological constraints, while remaining fully consistent with established experimental and theoretical physics.
This work presents an ontological and phenomenological framework in which information, coherence, and physical structure emerge from an underlying entropic substrate. Within ZIP cosmology, information is not treated as fundamental but as a dynamically stabilized process arising from diffusion, coherence, and irreversible entropic selection. The framework remains compatible with standard quantum mechanics and cosmology while offering a clarified conceptual foundation for emergence, measurement, and stability. Files
This mini-monograph proposes a new variational and information-geometric framework for understanding the quantum measurement problem, with particular emphasis on the unresolved problem of outcome selection. While decoherence theory explains the suppression of interference and the emergence of stable pointer bases, it does not by itself explain why one definite outcome is realized rather than another. This work argues that the missing element is not simply an additional dynamical mechanism, but a structural principle of selection. The central thesis is that quantum measurement may be understood as a process of entropic channel selection within a structured space of admissible outcomes. Drawing on Schrödinger bridge theory, entropy-regularized optimal transport, stochastic path-space variational principles, concentration of measure, and large deviation theory, the monograph develops a framework in which collapse-like definiteness emerges through constrained probabilistic evolution. Measurement is thereby reinterpreted not as an arbitrary interruption of unitary dynamics, but as a threshold phenomenon in the geometry of information. The work introduces an informational configuration space of possible resolution channels, defines an entropic action functional over stochastic paths, and proposes a channel-selection principle based on entropy-minimizing interpolation. It further examines the relation between Schrödinger bridges and optimal transport, explores the zero-noise limit, connects the framework to path-integral intuition, and develops explicit models of Gaussian bridge dynamics and two-channel selection. The emergence of classicality is treated through exponential concentration, threshold amplification, and phase-transition-like stabilization in high-dimensional systems. The monograph does not claim to replace standard quantum mechanics. Rather, it seeks to clarify how definite outcomes might arise from variational organization within probability itself, while remaining compatible with reduced quantum dynamics, decoherence, and open-system evolution. It is intended as a conceptual and mathematical foundation for further work at the intersection of quantum foundations, stochastic processes, information geometry, and the theory of emergent classicality.
The definition of entropy in both classical and quantum contexts relies on a coarse-graining of the underlying microscopic description. While this dependence is widely acknowledged, the physical constraints that determine which coarse-grainings are admissible are rarely made explicit. This issue becomes particularly acute when the universe is treated as a closed system, where no external observer or privileged level of description can be assumed. Any characterization of entropy — including claims about the low-entropy initial conditions of the universe — must then be grounded in descriptions that can be physically instantiated from within the system itself. In this work, we introduce a rigorous operational framework that establishes explicit physical selection principles over the space of admissible descriptions. We organize these criteria into necessary conditions (local accessibility and physical implementation via internal interactions) and practical sufficiency conditions (finite resource requirements anchored in Landauer’s principle, dynamical stability, and effective consistency). To demonstrate the validity of our framework, we introduce a concrete one-dimensional spin-chain toy model, illustrating how mathematically valid global partitions fail to be physically realizable due to dynamic propagation limits and informational constraints. We analyze the far-reaching implications of this restriction across three domains. In classical statistical mechanics, it limits the arbitrariness of macrostate definitions. In quantum theory, it identifies environment-induced decoherence (einselection) not merely as a formal tool, but as the objective dynamical mechanism that forces the emergence of admissible internal partitions. In cosmology, it resolves foundational circularities in the quasi-classical histories framework and reframes the thermodynamic arrow of time as a "doubly relational" property—dependent both on cosmic boundary conditions and on the material limits of internal subsystems. Our framework clarifies the operational status of entropy as an emergent property of physically instantiated descriptions within a universe that observes itself.
Abstract This work presents a structural ontology of quantum mechanics grounded in the limits of formal description, rather than in interpretative models. Instead of proposing a new interpretation, modification of equations, or metaphysical extension, the text identifies a missing structural layer implicitly assumed by quantum theory: the necessity of filtration in systems operating beyond formal completeness. Drawing on Gödel’s incompleteness theorems as a structural precedent, the analysis reframes core quantum phenomena — superposition, collapse, entanglement, uncertainty, and wave–particle duality — as expressions of constrained potential rather than paradoxical physical behavior. Quantum mechanics is shown to operate in a pre-physical regime, describing admissible possibilities prior to enforced resolution, while classical physics describes the outcome of irreversible constraint. From this perspective, collapse is not caused by observation, randomness, or consciousness, but by saturation of coherence under applied constraints. Uncertainty emerges as a logical consequence of non-coexistent descriptions within a single formal frame, rather than as an epistemic limitation. The work then generalizes this framework beyond physics, demonstrating that entropy, irreversibility, and systemic collapse arise when systems continue operating beyond their Gödelian limits without a heuristic capable of recognizing formal exhaustion. This leads to a distinction between reintegrative (pre-Gödel) entropy and residual (post-Gödel) entropy regimes, with implications for computation, cognition, artificial systems, and large-scale systemic viability. This document is descriptive, not prescriptive.It introduces no implementations and proposes no cosmological mechanisms.Its contribution is the explicit articulation of structural constraints that any coherent physical or systemic description must satisfy.