We propose a structural account of why systems across all scales — from radioactive atoms to ecosystems and social orders — decay, tip or break down. Instead of treating probability and metastability as primitive features, the paper shows how they emerge naturally when a system is understood as a loop that almost, but not perfectly, closes. A small intrinsic drift in such non-orientable loops produces exponential decay, spontaneous breakdown, and the characteristic “waiting-time” statistics found in both quantum physics and complex systems. Using only minimal assumptions, the paper links: spontaneous quantum decay → to drift in nearly closed loops, metastability → to how much closure margin a system has left, tipping points in chaos → to the same structural condition as half-life laws, entropy → to a universal bias that keeps loops from perfect closure. The result is a unified conceptual picture in which stability, probability and breakdown follow from one and dersame structural principle: reality is built from loops that hold for a while — and then open.
We propose a structural account of why systems across all scales — from radioactive atoms to ecosystems and social orders — decay, tip or break down. Instead of treating probability and metastability as primitive features, the paper shows how they emerge naturally when a system is understood as a loop that almost, but not perfectly, closes. A small intrinsic drift in such non-orientable loops produces exponential decay, spontaneous breakdown, and the characteristic “waiting-time” statistics found in both quantum physics and complex systems. Using only minimal assumptions, the paper links: spontaneous quantum decay → to drift in nearly closed loops, metastability → to how much closure margin a system has left, tipping points in chaos → to the same structural condition as half-life laws, entropy → to a universal bias that keeps loops from perfect closure. The result is a unified conceptual picture in which stability, probability and breakdown follow from one and dersame structural principle: reality is built from loops that hold for a while — and then open.
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.
Quantum tunnelling provides an empirically successful description of discrete transitions that are classically forbidden, particularly in radioactive decay and related quantum processes. While the mathematical formalism accurately predicts decay rates and barrier dependence, its physical interpretation remains a subject of ongoing discussion. In this paper, we adopt a structure-first interpretive framework in which tunnelling is understood not as literal traversal of forbidden regions, but as a statistical description of discrete resolution when continuous temporal evolution is inadmissible. We introduce the concept of structural non-admissibility, referring to configurations in which no continuous reconfiguration pathway exists under existing constraints. In such cases, systems persist metastably until discrete reconfiguration becomes unavoidable, accompanied by emission. Probability and exponential decay laws are interpreted as ensemble-level signatures of under-resolved structural dynamics rather than intrinsic randomness. This work does not modify quantum mechanics or its equations, but clarifies the ordering of explanation by distinguishing between structural conditions that necessitate discrete transitions and the probabilistic formalisms that describe them.
This project presents a conceptual and mathematical hypothesis concerning the apparent randomness of radioactive decay. While current nuclear physics models describe decay as a fundamentally stochastic and random process with a constant decay rate, this work explores the possibility that the randomness may come from rapidly fluctuating internal nuclear states that are not directly obsercable by measurement. The central idea is that the effective decay constant measured experimentally represents a time-averaged quantity over a distribution of internal configurations, associated with slightly different decay probabilities. In this framework, radioactive decay remains statistically exponential at observable timescales, while allowing for hidden internal dynamics consistent with established quantum mechanical principles. My work does not claim experimental verification. Instead, it aims to outline a phenomenological structure compatible with known decay laws and to identify conditions under which small, systematic deviations might arise under perturbations.
This work continues the development of Topological Quantum Mechanics (TQM), a field-based framework in which probability, choice, and time emerge from geometric and resonant properties of a structured field rather than from predefined rules or central observers. In TQM V, probability is treated as a geometric feature of field configurations, metastable nodes arise from interacting flows, and time emerges as an ordering of transitions between temporary stable states. The model is applied to physical, cognitive, and artificial systems, demonstrating how coherent behavior can arise without explicit control, consciousness, or linear time assumptions. This paper is intended for researchers working at the intersection of physics, artificial intelligence, complex systems, and cognitive modeling, as well as developers interested in emergent computation and non-classical decision architectures. Version 5.1 extends TQM V with an Appendix (Computational Perspective), providing illustrative computational analogies and examples for programmers and AI researchers. The appendix does not modify the core theoretical framework but clarifies how probability fields and metastable nodes can be mapped to data structures and algorithmic processes.
This work proposes a structural theory of wave dynamics in which quantum, statistical, and cosmological phenomena emerge from a single underlying principle: whether a wave process achieves phase closure or remains phase-open. Within a discrete conservative framework, wave evolution is shown to admit two qualitatively distinct regimes. Phase-closed processes generate stationary normal modes and localized particle-like states, whereas phase-open processes produce dispersive envelope dynamics and persistent background fluctuations. In this framework, Schrödinger-type evolution is not postulated as a fundamental law but arises universally as the effective continuum description of structurally incomplete (phase-open) wave processes. A central result of this paper is that Heisenberg-type uncertainty relations emerge as a structural consequence of phase openness rather than measurement postulates or operator non-commutativity. Persistent background fluctuations, including vacuum noise and cosmological background phenomena, are likewise interpreted as unavoidable residuals of incomplete phase closure in conservative wave systems. The theory further introduces a probabilistic structural law governing phase closure, predicting that particle-like states are rare events in a dominantly phase-open universe. This leads to falsifiable scaling relations connecting microscopic phase dynamics to macroscopic cosmological matter fractions. The framework is integrated with the JS–SH discrete geometry and the SRCD ratio coordinate, providing a unified structural interpretation of quantum mechanics, particle formation, and cosmic background structure. Unlike conventional approaches, this work does not modify quantum mechanics by additional axioms or stochastic assumptions. Instead, it derives quantum and cosmological phenomena from structural properties of discrete wave dynamics, offering a unified conceptual and mathematical foundation linking Schrödinger evolution, uncertainty, and cosmic background fluctuations.
The classical deterministic worldview that dominated science from the seventeenth to the nineteenth century has been profoundly challenged by developments in modern physics and biology. Quantum mechanics has revealed that indeterminacy and probability are not merely epistemic limitations, but intrinsic features of physical reality. At the same time, evolutionary biology has shown that random genetic variation, filtered by natural selection, is the fundamental driver of biological diversity and adaptation. This article explores the conceptual parallel between quantum indeterminacy and evolutionary randomness, not as a reduction of biology to physics, but as an epistemological reflection on how stability and order emerge from probabilistic processes across different levels of organization. By examining emergence, contingency, historical irreversibility, and the limits of prediction, the paper argues that determinism is best understood as a scale-dependent approximation rather than a foundational ontological principle. The absence of finality in nature does not imply chaos or nihilism, but invites a renewed philosophical understanding of explanation, responsibility, and scientific humility in a probabilistic universe.