Causal Mechanisms of Stability, Phase Transitions, and Collapse in Complex Self-Regulating Systems: Distinguishability and Uncertainty as the Basis of Dynamics
Authors/Creators
- 1. Institute for Fundamental Architecture of Reality β Anachroma (IFARA)
Description
πΉ Description (English)
This paper proposes an architectural approach to the analysis of complex self-regulating systems aimed at resolving the gap between the registration of empirical effects and the understanding of causal mechanisms underlying system stability, transitions, and breakdown.
The model introduces distinguishability as a fundamental structural condition of system existence and dynamics. System regimes, phase transitions, phase windows, adaptive stability, tension-based fixation, and disorganization are interpreted as different modes of preserving, processing, or losing distinguishability over time.
The proposed framework operates at an architectural level, allowing the integration of observable regimes into a unified causal structure without reducing system complexity or relying on discipline-specific parameters. This enables consistent differentiation between adaptive and disorganized dynamics, reversible and irreversible transitions, and stable regimes and phase windows.
The model is applicable across physical, biological, cognitive, social, and artificial systems, including machine learning and neural network dynamics. Architectural relations identified in the paper provide a foundation for subsequent formalization within specific scientific domains while preserving causal rigor and conceptual consistency.
The work is presented as a preprint and constitutes a conceptual and methodological basis for further theoretical development, empirical testing, and interdisciplinary application.
πΉ ΠΠΏΠΈΡΠ°Π½ΠΈΠ΅ (Π ΡΡΡΠΊΠΈΠΉ)
Π ΡΠ°Π±ΠΎΡΠ΅ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ Π°ΡΡ ΠΈΡΠ΅ΠΊΡΡΡΠ½ΡΠΉ ΠΏΠΎΠ΄Ρ ΠΎΠ΄ ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρ ΡΠ»ΠΎΠΆΠ½ΡΡ ΡΠ°ΠΌΠΎΡΠ΅Π³ΡΠ»ΠΈΡΡΡΡΠΈΡ ΡΡ ΡΠΈΡΡΠ΅ΠΌ, Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½Π½ΡΠΉ Π½Π° ΠΏΡΠ΅ΠΎΠ΄ΠΎΠ»Π΅Π½ΠΈΠ΅ ΡΠ°Π·ΡΡΠ²Π° ΠΌΠ΅ΠΆΠ΄Ρ ΡΠ΅Π³ΠΈΡΡΡΠ°ΡΠΈΠ΅ΠΉ ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΡΡΠ΅ΠΊΡΠΎΠ² ΠΈ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΠ΅ΠΌ ΠΏΡΠΈΡΠΈΠ½Π½ΠΎ-ΡΠ»Π΅Π΄ΡΡΠ²Π΅Π½Π½ΡΡ ΠΌΠ΅Ρ Π°Π½ΠΈΠ·ΠΌΠΎΠ², Π»Π΅ΠΆΠ°ΡΠΈΡ Π² ΠΎΡΠ½ΠΎΠ²Π΅ ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΠΈ, ΠΏΠ΅ΡΠ΅Ρ ΠΎΠ΄ΠΎΠ² ΠΈ ΡΠ°ΡΠΏΠ°Π΄Π° ΡΠΈΡΡΠ΅ΠΌ.
Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π²Π²ΠΎΠ΄ΠΈΡΡΡ ΠΏΠΎΠ½ΡΡΠΈΠ΅ ΡΠ°Π·Π»ΠΈΡΠΈΠΌΠΎΡΡΠΈ, ΠΏΠΎΠ½ΠΈΠΌΠ°Π΅ΠΌΠΎΠ΅ ΠΊΠ°ΠΊ Π±Π°Π·ΠΎΠ²ΠΎΠ΅ ΡΡΡΡΠΊΡΡΡΠ½ΠΎΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠ΅ ΡΡΡΠ΅ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ ΠΈ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ ΡΠΈΡΡΠ΅ΠΌΡ. Π Π΅ΠΆΠΈΠΌΡ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΡΠ°Π·ΠΎΠ²ΡΠ΅ ΠΏΠ΅ΡΠ΅Ρ ΠΎΠ΄Ρ, ΡΠ°Π·ΠΎΠ²ΡΠ΅ ΠΎΠΊΠ½Π°, Π°Π΄Π°ΠΏΡΠΈΠ²Π½Π°Ρ ΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΡΡΡ, Π½Π°ΠΏΡΡΠΆΡΠ½Π½Π°Ρ ΡΠΈΠΊΡΠ°ΡΠΈΡ ΠΈ Π΄Π΅Π·ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΡ ΠΈΠ½ΡΠ΅ΡΠΏΡΠ΅ΡΠΈΡΡΡΡΡΡ ΠΊΠ°ΠΊ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ ΡΠΏΠΎΡΠΎΠ±Ρ ΡΠΎΡ ΡΠ°Π½Π΅Π½ΠΈΡ, ΠΏΠ΅ΡΠ΅ΡΠ°Π±ΠΎΡΠΊΠΈ ΠΈΠ»ΠΈ ΡΡΡΠ°ΡΡ ΡΠ°Π·Π»ΠΈΡΠΈΠΌΠΎΡΡΠΈ Π²ΠΎ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ.
ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠ°Π±ΠΎΡΠ°Π΅Ρ Π½Π° Π°ΡΡ ΠΈΡΠ΅ΠΊΡΡΡΠ½ΠΎΠΌ ΡΡΠΎΠ²Π½Π΅ ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ ΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΠ²ΡΠ·Π°ΡΡ Π½Π°Π±Π»ΡΠ΄Π°Π΅ΠΌΡΠ΅ ΡΠ΅ΠΆΠΈΠΌΡ ΠΈ ΠΏΠ΅ΡΠ΅Ρ ΠΎΠ΄Ρ Π² Π΅Π΄ΠΈΠ½ΡΡ ΠΏΡΠΈΡΠΈΠ½Π½ΠΎ-ΡΠ»Π΅Π΄ΡΡΠ²Π΅Π½Π½ΡΡ ΡΡΡΡΠΊΡΡΡΡ Π±Π΅Π· ΡΠ΅Π΄ΡΠΊΡΠΈΠΈ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ ΡΠΈΡΡΠ΅ΠΌΡ ΠΈ Π±Π΅Π· ΠΏΡΠΈΠ²ΡΠ·ΠΊΠΈ ΠΊ Π΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½Π°ΡΠ½ΠΎ-ΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ°ΠΌ. ΠΡΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°Π΅Ρ ΠΊΠΎΡΡΠ΅ΠΊΡΠ½ΠΎΠ΅ ΡΠ°Π·Π»ΠΈΡΠ΅Π½ΠΈΠ΅ Π°Π΄Π°ΠΏΡΠΈΠ²Π½ΡΡ ΠΈ Π΄Π΅Π·ΠΎΡΠ³Π°Π½ΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΡ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊ, ΠΎΠ±ΡΠ°ΡΠΈΠΌΡΡ ΠΈ Π½Π΅ΠΎΠ±ΡΠ°ΡΠΈΠΌΡΡ ΠΏΠ΅ΡΠ΅Ρ ΠΎΠ΄ΠΎΠ², Π° ΡΠ°ΠΊΠΆΠ΅ ΡΡΡΠΎΠΉΡΠΈΠ²ΡΡ ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΠΈ ΡΠ°Π·ΠΎΠ²ΡΡ ΠΎΠΊΠΎΠ½.
ΠΠΎΠ΄Π΅Π»Ρ ΠΏΡΠΈΠΌΠ΅Π½ΠΈΠΌΠ° ΠΊ ΡΠΈΡΡΠ΅ΠΌΠ°ΠΌ ΡΠ°Π·Π»ΠΈΡΠ½ΠΎΠΉ ΠΏΡΠΈΡΠΎΠ΄Ρ — ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠΌ, Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΌ, ΠΊΠΎΠ³Π½ΠΈΡΠΈΠ²Π½ΡΠΌ, ΡΠΎΡΠΈΠ°Π»ΡΠ½ΡΠΌ ΠΈ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΡΠΌ, Π²ΠΊΠ»ΡΡΠ°Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΡ ΠΎΠ±ΡΡΠ΅Π½ΠΈΡ Π½Π΅ΠΉΡΠΎΡΠ΅ΡΠ΅ΠΉ ΠΈ ΡΠΈΡΡΠ΅ΠΌ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΈΠ½ΡΠ΅Π»Π»Π΅ΠΊΡΠ°. ΠΡΡΠ²Π»Π΅Π½Π½ΡΠ΅ Π² ΡΠ°Π±ΠΎΡΠ΅ Π°ΡΡ ΠΈΡΠ΅ΠΊΡΡΡΠ½ΡΠ΅ ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°ΡΡ ΠΎΡΠ½ΠΎΠ²Ρ Π΄Π»Ρ ΠΏΠΎΡΠ»Π΅Π΄ΡΡΡΠ΅ΠΉ ΡΠΎΡΠΌΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ Π² ΡΠ°ΠΌΠΊΠ°Ρ ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΡΡ Π½Π°ΡΡΠ½ΡΡ ΠΎΠ±Π»Π°ΡΡΠ΅ΠΉ ΠΏΡΠΈ ΡΠΎΡ ΡΠ°Π½Π΅Π½ΠΈΠΈ ΠΏΡΠΈΡΠΈΠ½Π½ΠΎ-ΡΠ»Π΅Π΄ΡΡΠ²Π΅Π½Π½ΠΎΠΉ ΡΡΡΠΎΠ³ΠΎΡΡΠΈ ΠΈ ΠΊΠΎΠ½ΡΠ΅ΠΏΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠΎΠ³Π»Π°ΡΠΎΠ²Π°Π½Π½ΠΎΡΡΠΈ.
Π Π°Π±ΠΎΡΠ° ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π² ΡΠΎΡΠΌΠ°ΡΠ΅ ΠΏΡΠ΅ΠΏΡΠΈΠ½ΡΠ° ΠΈ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΠΊΠ°ΠΊ ΠΊΠΎΠ½ΡΠ΅ΠΏΡΡΠ°Π»ΡΠ½ΠΎ-ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ Π΄Π»Ρ Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠ΅Π³ΠΎ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°Π·Π²ΠΈΡΠΈΡ, ΡΠΌΠΏΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΡΠΎΠ²Π΅ΡΠΊΠΈ ΠΈ ΠΌΠ΅ΠΆΠ΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½Π°ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ Π°ΡΡ ΠΈΡΠ΅ΠΊΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ ΠΎΠ΄Π° ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ ΡΠ»ΠΎΠΆΠ½ΡΡ ΡΠΈΡΡΠ΅ΠΌ.
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Additional details
References
- Petina, A. (2026). A Formalized Dynamic Model of Self-Regulating Systems Under Conditions of Uncertainty (v1.0). Zenodo. https://doi.org/10.5281/zenodo.18370178
- Petina, A. (2026). Architectural Generativity as a Criterion of a Fundamental Principle of Science (Level-III Principle) (v1.0). Zenodo. https://doi.org/10.5281/zenodo.18143594
- Petina, A. (2026). From Laws to Their Conditions of Possibility: A Hypothesis of an Architectural Principle of Levels of Scientific Description/ A Pre-disciplinary Principle of Scientific Knowledge: A Hypothesis on the Architectural Conditions for the Formation of Explanatory Regimes (v2.0). Zenodo. https://doi.org/10.5281/zenodo.18143340
- Petina, A. (2026). The Minimal Architecture of Distinguishability ANAM(X) (v1.0). Zenodo. https://doi.org/10.5281/zenodo.18115774
Subjects
- Physics - History and Philosophy of Physics (physics.hist-ph)