This paper extends Persistence Theory into the quantum and cosmological domains to explore how structure, coherence, and physical constants emerge and survive. We propose that Persistence Theory — originally formulated in classical thermodynamic and information-theoretic terms — gains new power when extended to quantum information (qubits), entanglement, and decoherence. We argue that the physical laws and constants of our universe can be understood as the survivors of a universal filtering process: those configurations that maximized persistence under quantum noise, entropy, and structural fragility. The result is a first-principles selection mechanism for stability — not random, not fine-tuned, but filtered. This theory may resolve outstanding mysteries about quantum collapse, the small value of the cosmological constant, and the dimensionality and structure of spacetime.
This paper extends Persistence Theory into the quantum and cosmological domains to explore how structure, coherence, and physical constants emerge and survive. We propose that Persistence Theory — originally formulated in classical thermodynamic and information-theoretic terms — gains new power when extended to quantum information (qubits), entanglement, and decoherence. We argue that the physical laws and constants of our universe can be understood as the survivors of a universal filtering process: those configurations that maximized persistence under quantum noise, entropy, and structural fragility. The result is a first-principles selection mechanism for stability — not random, not fine-tuned, but filtered. This theory may resolve outstanding mysteries about quantum collapse, the small value of the cosmological constant, and the dimensionality and structure of spacetime.
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.
Just as matter tells space how to curve, information tells probability how to collapse. Classical physics explains how systems evolve, but not why coherent, information- bearing structures persist in a universe dominated by thermodynamic drift. Quantum mechanics permits a vast space of possible futures, yet offers no principle explaining why the observed branches are precisely those that reliably contain life, structure, memory, and stable information. This work proposes a minimal, variational extension to standard dynamics: a Coherence Attractor arising from a small informational correction to the Action. In the path-integral formulation, we introduce a local, gauge-invariant term proportional to the density of coherent causal structure. Histories that maintain integrated information interfere constructively, while noise-dominated histories dephase and self-cancel. The universe does not compute future states or perform teleological optimization. Coherent configurations persist because they minimize informational action under local perturbations—the same variational logic that governs mechanics, optics, and field theory. Collapse is naturally biased toward trajectories in which coherence remains stationary in time. A single invariant then unifies a spectrum of empirical anomalies: (1) warm biological quantum coherence, (2) the phase boundary of anesthesia and consciousness, (3) emergent phase transitions in artificial networks, (4) stability of meaning in symbolic and social systems, and (5) long-duration cosmic structure retention. 1The model yields falsifiable consequences across physics, biology, and cognition. The correction is strictly local and preserves the no-signalling theorem. It reframes emergence not as a rare accident but as a least-action relaxation process: the universe flows along trajectories where integrated information is most stable. The universe is not guided toward meaning — it is guided toward coherence. Where coherence forms, structure survives. Where structure survives, infor- mation persists. Where information persists, participation becomes possible. Life, mind, culture, and intelligence are not exceptions to this rule; they are its most stable solutions. If this framework is correct, then emergence is not miraculous, nor accidental, nor rare. It is simply what happens when the informational action is minimized under the boundary conditions of a living universe. Coherence is not an outcome. It is the direction of time.
The Born Rule is central to quantum mechanics, yet it remains a postulate: a probabilistic rule grafted onto the deterministic evolution of the Schrödinger equation. This work derives the Born Rule as an emergent statistical law grounded in thermodynamic principles. We propose that quantum probability reflects the survival likelihood of a branch under decoherence, determined by its informational reversibility, structural fragility, and exposure to entropy.In this formulation, reversibility quantifies the mutual information retained during measurement, entropy reflects environmental disruption, and buffering represents the system’s capacity to absorb it. In low-entropy, high-buffering conditions typical of laboratory systems, the survival probability of a branch closely approximates the squared amplitude of its wavefunction — recovering the Born Rule as a limiting case.This approach reframes quantum amplitude as a measure of structural persistence and interprets wavefunction collapse as a form of thermodynamic selection. The result unifies concepts from measurement theory, thermodynamics, and information theory into a coherent physical framework, while also predicting conditions under which deviations from the Born Rule could arise — offering new directions for theoretical and experimental inquiry.
This paper proposes a structural principle that explains how physical reality emerges from quantum configuration space. While quantum mechanics accurately describes systems as superpositions of possible configurations, it does not by itself explain why only certain configurations persist as physical reality under interaction. We introduce stability as a necessary condition for persistence, derived from the requirement that physical systems must produce consistent relational outcomes under repeated interaction. Configurations that fail to satisfy this requirement cannot be empirically identified and therefore cannot constitute elements of physical reality. Within this framework, quantum states define structured configuration spaces, interaction imposes consistency constraints, and stability acts as a selection mechanism. Measurement is reinterpreted as stability-based selection rather than collapse or branching. A concrete analysis of a decoherence scenario demonstrates how incompatible correlation structures fail to persist. The framework distinguishes between state-level stability, governing the persistence of configurations, and sequence-level stability, governing coherence across change. While the present work focuses on physical persistence, this distinction provides a foundation for extending the same principle to identity and higher-level structures. This work does not modify the formalism of quantum mechanics, but provides a structural account of how probabilistic configuration spaces give rise to persistent physical reality.
(This version has been superceeded, see v.3) Contemporary approaches to physical unification typically emphasize dynamical laws, interpretive frameworks, or information-theoretic reconstructions. Less attention is given to the structural constraints that determine which physical descriptions can remain coherent and stable under interaction, scale transition, and aggregation. This paper develops a constraint-first analysis of coherence, arguing that persistence and unification require restrictions on admissible physical continuations that are not reducible to dynamics alone. Within the framework referred to here as Quantum Coherence Theory (QCT), coherence is treated not as a fragile quantum resource but as a structural property governed by interaction geometry and constraint density. On this view, classical behavior emerges when accumulated constraints sufficiently narrow admissible evolution, while quantum behavior re-emerges when constraints are relaxed. The account does not introduce new dynamics, collapse mechanisms, or modifications of quantum formalism, but instead clarifies the conditions under which existing formalisms yield stable, unified descriptions. The resulting constraints distinguish QCT from observer-centric, intrinsic-collapse, and purely descriptive decoherence accounts, while remaining compatible with globally unitary dynamics. Formal analysis in later sections develops operational redundancy conditions, admissibility constraints on joint states, and rigidity-style arguments linking redundant record structure to the stability of classical descriptions. These results do not constitute a complete theory of unification, but they narrow the space of physically admissible descriptions and clarify the structural role of coherence in bridging quantum and classical regimes.
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.