Causal–Continuity Stabilization Theory (CCST). DOI: https://doi.org/10.17605/OSF.IO/N2SF9. This project develops a geometric and thermodynamic formulation of Causal–Continuity Stabilization Theory (CCST) within the Everettian (Many-Worlds) interpretation of quantum mechanics. While decoherence theory explains the emergence of quasi-classical branches, it does not by itself account for the persistence and stability of a specific first-person causal history. CCST addresses this gap by introducing a stability-based interpretive framework grounded in irreversible thermodynamics, information-processing limits, and dynamical sensitivity. Macroscopic causal histories are modeled as trajectories in a coarse-grained state space equipped with an effective metric that encodes thermodynamic resistance to state transitions. The theory distinguishes ontological branch existence (Born weight) from first-person admissibility, proposing a maximum dissipation bound as a condition for sustained causal continuity. Extensions based on dynamical instability, Lyapunov sensitivity, and geometric deviation are used to explain both gradual (soft) transitions and limiting cases of causal exit without invoking wavefunction collapse, probabilistic selection, or inter-branch dynamics. An interpretive extension further clarifies how first-person experience can be treated as a stability-constrained descriptive projection over physically realized histories, preserving full compatibility with unitary quantum evolution. This repository contains the main manuscript and appendices (A–F), presenting the formal structure, interpretive motivation, and conceptual scope of the theory.
Causal–Continuity Stabilization Theory (CCST). DOI: https://doi.org/10.17605/OSF.IO/N2SF9. This project develops a geometric and thermodynamic formulation of Causal–Continuity Stabilization Theory (CCST) within the Everettian (Many-Worlds) interpretation of quantum mechanics. While decoherence theory explains the emergence of quasi-classical branches, it does not by itself account for the persistence and stability of a specific first-person causal history. CCST addresses this gap by introducing a stability-based interpretive framework grounded in irreversible thermodynamics, information-processing limits, and dynamical sensitivity. Macroscopic causal histories are modeled as trajectories in a coarse-grained state space equipped with an effective metric that encodes thermodynamic resistance to state transitions. The theory distinguishes ontological branch existence (Born weight) from first-person admissibility, proposing a maximum dissipation bound as a condition for sustained causal continuity. Extensions based on dynamical instability, Lyapunov sensitivity, and geometric deviation are used to explain both gradual (soft) transitions and limiting cases of causal exit without invoking wavefunction collapse, probabilistic selection, or inter-branch dynamics. An interpretive extension further clarifies how first-person experience can be treated as a stability-constrained descriptive projection over physically realized histories, preserving full compatibility with unitary quantum evolution. This repository contains the main manuscript and appendices (A–F), presenting the formal structure, interpretive motivation, and conceptual scope of the theory.
Stability Geometry of Branch Structures in Open Quantum Systems. DOI: https://doi.org/10.17605/OSF.IO/RKPTQ. Main paper PDF: tability_Geometry_of_Branch_Structures_in_Open_Quantum_Systems.pdf. Causal–Continuity Stabilization Theory (CCST) characterizes macroscopic causal persistence as a physical stability property of finite substrates, rather than as an ontological feature of the universal wavefunction. In its original formulation, CCST formalized descriptive admissibility: a coarse-grained macroscopic causal history remains well-posed only when thermodynamic dissipation stays below a substrate-dependent bound and when coarse-grained dynamical sensitivity preserves closure. This work extends CCST by addressing a logically distinct question: not only whether a macroscopic description remains admissible within a branch, but whether a branch structure itself can remain dynamically coherent as an organized physical entity under sustained environmental coupling. Although unitary quantum mechanics preserves all components of the global quantum state, organized branch structure may dynamically disperse into microscopic degrees of freedom in open-system dynamics, thereby losing the correlation patterns required for macroscopic organization. We distinguish structural dispersion (loss of branch-level organizational coherence) from Causal Exit (loss of description-level definability on a finite physical substrate), emphasizing that these correspond to stability failures at distinct physical layers and should not be conflated. Using standard open-system effective-action and influence-functional formalisms, we motivate a dynamical weighting over coarse-grained path ensembles: microscopic dynamics induces a non-uniform stability geometry in path space through irreversible dynamical suppression rather than probabilistic selection, without introducing collapse, selection rules, or inter-branch transport. Finally, we introduce a minimal toy model to visualize the qualitative sensitivity of branch-structural persistence under controlled stability thresholds. The model is strictly illustrative and is accompanied by transparent parameter definitions and a reproducible numerical implementation in the appendix.
(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 preprint develops a thermodynamic admissibility condition on the persistence of quantum identity in open systems. Standard quantum mechanics allows extremely large spaces of possible system histories, but only a small subset remains experimentally realisable once irreversible entropy production is taken into account. This work formalizes this as an admissibility constraint: any quantum system that preserves a stable, trackable identity over time must satisfy a finite budget on cumulative irreversible dissipation. No new forces, variables, or dynamics are added; the constraint is purely structural and compatible with existing open-systems formalisms. The paper connects this requirement with decoherence, spectrum broadcasting, quantum Darwinism, and the emergence of classical objectivity. It frames identity persistence as a pre-dynamical condition—necessary before predictions about evolution or measurement outcomes are meaningful. This structural account clarifies why only certain histories are physically realisable, how objectivity arises under irreversibility, and how thermodynamic bookkeeping parameters (such as an “identity budget”) implicitly constrain experimental practice. The result provides a unifying, thermodynamically grounded framework linking dissipative quantum processes, system architecture, and long-term identifiability.
Description / Abstract:This work presents a rigorous formalization of the observer's experience in quantum mechanics using P-Tact (П-такт) graphs, advancing the framework of discrete process units as primary ontological elements. The observer's lived reality is interpreted as a specific path through the P-Tact graph, with measurement understood as the creation of entangled branches rather than collapse, thereby naturally reproducing the Born rule from structural weights. The study connects the observer-centric perspective with the Everett interpretation, providing a mathematically and conceptually explicit account of branching, superposition, and structural probability within the Hilbert-space formulation of P-Tacts. This article builds upon and integrates the theoretical and experimental foundations of previous works: Pavlov, M. (2026). Quantum Switch as an Emergent Process Structure from Discrete Process Tacts (П-такт) https://doi.org/10.5281/zenodo.18498181 Pavlov, M. (2026). Quantum Switch and Teleportation https://doi.org/10.5281/zenodo.18509173 Pavlov, M. (2026). Emergence of Causality, Gravity, Time, and Three-Dimensional Space from Discrete P-Tact (П-такт) Dynamics https://doi.org/10.5281/zenodo.18504244 Pavlov, M. (2026). P Tact (П-такт) as the Primitive Unit of Quantum Theory https://doi.org/10.5281/zenodo.18516711 Pavlov, M. (2026). Indefinite Causal Order as Superposition of Process Graphs https://doi.org/10.5281/zenodo.18519010 By establishing a unified observer-path perspective, this study elucidates how life trajectories correspond to particular sequences of P-Tacts, offering a detailed account of quantum branching and the emergence of probabilities without invoking subjective collapse. It further formalizes the interplay between measurement, entanglement, and the multiplicity of coexisting realities, providing both conceptual clarity and operational definitions applicable to experimental and simulation-based quantum frameworks.
This project presents a conceptual and mathematical investigation into the relationship between uncertainty, distinguishability, and the ontological persistence of physical variables. Rather than treating uncertainty as a mechanism that alters or destroys underlying system states, the work develops a formal framework in which uncertainty acts as an obscuring layer that limits epistemic access while leaving fundamental structure intact. Using tools from information theory, stochastic dynamics, and quantum state evolution, the study introduces a Persistence Criterion that distinguishes between genuine ontological change and mere loss of distinguishability. The framework is applied across classical noise models, feedback-controlled systems, and quantum decoherence processes to demonstrate that contraction of information measures does not imply elimination of underlying states. The project aims to clarify common interpretational confusions in physics and complex systems, particularly in contexts involving strong noise, coarse-graining, and measurement limits. It is intended as a foundations-oriented contribution, with relevance to physical modeling, control theory, and the philosophy of uncertainty.
The question of how probabilistic systems select individual outcomes remains conceptually open in several areas of physics and complex systems theory. Standard decoherence models successfully describe the emergence of classical behavior from quantum systems, yet they generally treat the selection of specific outcomes as statistically neutral once the probabilistic structure is fixed. The present work is motivated by the possibility that probabilistic selection processes may, under certain conditions, exhibit weak forms of context dependence without requiring any violation of standard probabilistic laws. Rather than proposing a replacement for established physical theory, the paper explores whether minimal and formally controlled modifications of probabilistic weighting could provide a useful phenomenological framework for describing such effects. The approach is intentionally conservative in scope. Its purpose is not to claim evidence for new physics, but to investigate whether concepts such as context, structural compatibility, and informational coupling can be represented within a mathematically bounded probabilistic setting. This preprint proposes a minimal framework for modeling context-dependent selection in probabilistic systems. While standard decoherence theory explains the emergence of classical behavior from quantum systems, it does not specify whether the selection of individual outcomes is entirely neutral or may be weakly influenced by additional constraints. The present work explores the possibility that probabilistic state selection could exhibit small context-dependent biases without modifying the underlying probabilistic structure. To formalize this idea, the model introduces a resonance function that weakly reweights baseline transition probabilities in a controlled and non-disruptive manner. A dynamic extension is considered in which probabilities and resonance co-evolve through simple feedback, damping, and context-dependent source terms. Analytical considerations and numerical simulations indicate that such systems can produce small but systematic and bounded deviations from baseline distributions. Under certain conditions, these deviations may stabilize, leading to attractor-like behavior. The framework is intended as an exploratory and phenomenological model, not as a modification of established physical theory. Its purpose is to provide a formal setting for investigating whether context, information, and structural compatibility can be represented within probabilistic state selection. A possible connection to underlying physical processes was considered in earlier work (https://doi.org/10.5281/zenodo.17246478). In the present paper, however, this line of interpretation is not pursued further and remains speculative. Keywords: decoherence; probability dynamics; attractors; resonance; complex systems; information theory Version note:This version presents a revised and clarified formulation of the proposed framework. In particular, the formal structure has been made more explicit by refining key derivation steps, clarifying the role of the resonance term, and tightening the interpretation of the model within its intended scope. No fundamental change to the core idea has been introduced. The revision primarily sharpens the probabilistic formulation, reduces ambiguity in the definition of the resonance function, and makes the exploratory and phenomenological status of the model more explicit.