Published January 27, 2026 | Version v1.0

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

πŸ”Ή 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.

πŸ”Ή ОписаниС (Русский)

Π’ Ρ€Π°Π±ΠΎΡ‚Π΅ прСдлагаСтся Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π½Ρ‹ΠΉ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄ ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρƒ слоТных ΡΠ°ΠΌΠΎΡ€Π΅Π³ΡƒΠ»ΠΈΡ€ΡƒΡŽΡ‰ΠΈΡ…ΡΡ систСм, Π½Π°ΠΏΡ€Π°Π²Π»Π΅Π½Π½Ρ‹ΠΉ Π½Π° ΠΏΡ€Π΅ΠΎΠ΄ΠΎΠ»Π΅Π½ΠΈΠ΅ Ρ€Π°Π·Ρ€Ρ‹Π²Π° ΠΌΠ΅ΠΆΠ΄Ρƒ рСгистрациСй эмпиричСских эффСктов ΠΈ ΠΏΠΎΠ½ΠΈΠΌΠ°Π½ΠΈΠ΅ΠΌ ΠΏΡ€ΠΈΡ‡ΠΈΠ½Π½ΠΎ-слСдствСнных ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠΎΠ², Π»Π΅ΠΆΠ°Ρ‰ΠΈΡ… Π² основС устойчивости, ΠΏΠ΅Ρ€Π΅Ρ…ΠΎΠ΄ΠΎΠ² ΠΈ распада систСм.

Π’ качСствС Ρ„ΡƒΠ½Π΄Π°ΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½ΠΎΠ³ΠΎ основания ΠΌΠΎΠ΄Π΅Π»ΠΈ вводится понятиС различимости, ΠΏΠΎΠ½ΠΈΠΌΠ°Π΅ΠΌΠΎΠ΅ ΠΊΠ°ΠΊ Π±Π°Π·ΠΎΠ²ΠΎΠ΅ структурноС условиС сущСствования ΠΈ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ систСмы. Π Π΅ΠΆΠΈΠΌΡ‹ функционирования, Ρ„Π°Π·ΠΎΠ²Ρ‹Π΅ ΠΏΠ΅Ρ€Π΅Ρ…ΠΎΠ΄Ρ‹, Ρ„Π°Π·ΠΎΠ²Ρ‹Π΅ ΠΎΠΊΠ½Π°, адаптивная ΡƒΡΡ‚ΠΎΠΉΡ‡ΠΈΠ²ΠΎΡΡ‚ΡŒ, напряТённая фиксация ΠΈ дСзорганизация ΠΈΠ½Ρ‚Π΅Ρ€ΠΏΡ€Π΅Ρ‚ΠΈΡ€ΡƒΡŽΡ‚ΡΡ ΠΊΠ°ΠΊ Ρ€Π°Π·Π»ΠΈΡ‡Π½Ρ‹Π΅ способы сохранСния, ΠΏΠ΅Ρ€Π΅Ρ€Π°Π±ΠΎΡ‚ΠΊΠΈ ΠΈΠ»ΠΈ ΡƒΡ‚Ρ€Π°Ρ‚Ρ‹ различимости Π²ΠΎ Π²Ρ€Π΅ΠΌΠ΅Π½ΠΈ.

ΠŸΡ€Π΅Π΄Π»Π°Π³Π°Π΅ΠΌΠ°Ρ модСль Ρ€Π°Π±ΠΎΡ‚Π°Π΅Ρ‚ Π½Π° Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π½ΠΎΠΌ ΡƒΡ€ΠΎΠ²Π½Π΅ описания ΠΈ позволяСт ΡΠ²ΡΠ·Π°Ρ‚ΡŒ Π½Π°Π±Π»ΡŽΠ΄Π°Π΅ΠΌΡ‹Π΅ Ρ€Π΅ΠΆΠΈΠΌΡ‹ ΠΈ ΠΏΠ΅Ρ€Π΅Ρ…ΠΎΠ΄Ρ‹ Π² Π΅Π΄ΠΈΠ½ΡƒΡŽ ΠΏΡ€ΠΈΡ‡ΠΈΠ½Π½ΠΎ-ΡΠ»Π΅Π΄ΡΡ‚Π²Π΅Π½Π½ΡƒΡŽ структуру Π±Π΅Π· Ρ€Π΅Π΄ΡƒΠΊΡ†ΠΈΠΈ слоТности систСмы ΠΈ Π±Π΅Π· привязки ΠΊ дисциплинарно-спСцифичСским ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Π°ΠΌ. Π­Ρ‚ΠΎ обСспСчиваСт ΠΊΠΎΡ€Ρ€Π΅ΠΊΡ‚Π½ΠΎΠ΅ Ρ€Π°Π·Π»ΠΈΡ‡Π΅Π½ΠΈΠ΅ Π°Π΄Π°ΠΏΡ‚ΠΈΠ²Π½Ρ‹Ρ… ΠΈ Π΄Π΅Π·ΠΎΡ€Π³Π°Π½ΠΈΠ·ΠΎΠ²Π°Π½Π½Ρ‹Ρ… Π΄ΠΈΠ½Π°ΠΌΠΈΠΊ, ΠΎΠ±Ρ€Π°Ρ‚ΠΈΠΌΡ‹Ρ… ΠΈ Π½Π΅ΠΎΠ±Ρ€Π°Ρ‚ΠΈΠΌΡ‹Ρ… ΠΏΠ΅Ρ€Π΅Ρ…ΠΎΠ΄ΠΎΠ², Π° Ρ‚Π°ΠΊΠΆΠ΅ устойчивых Ρ€Π΅ΠΆΠΈΠΌΠΎΠ² ΠΈ Ρ„Π°Π·ΠΎΠ²Ρ‹Ρ… ΠΎΠΊΠΎΠ½.

МодСль ΠΏΡ€ΠΈΠΌΠ΅Π½ΠΈΠΌΠ° ΠΊ систСмам Ρ€Π°Π·Π»ΠΈΡ‡Π½ΠΎΠΉ ΠΏΡ€ΠΈΡ€ΠΎΠ΄Ρ‹ — физичСским, биологичСским, ΠΊΠΎΠ³Π½ΠΈΡ‚ΠΈΠ²Π½Ρ‹ΠΌ, ΡΠΎΡ†ΠΈΠ°Π»ΡŒΠ½Ρ‹ΠΌ ΠΈ искусствСнным, Π²ΠΊΠ»ΡŽΡ‡Π°Ρ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΡƒ обучСния нСйросСтСй ΠΈ систСм искусствСнного ΠΈΠ½Ρ‚Π΅Π»Π»Π΅ΠΊΡ‚Π°. ВыявлСнныС Π² Ρ€Π°Π±ΠΎΡ‚Π΅ Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π½Ρ‹Π΅ ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΡ Π·Π°Π΄Π°ΡŽΡ‚ основу для ΠΏΠΎΡΠ»Π΅Π΄ΡƒΡŽΡ‰Π΅ΠΉ Ρ„ΠΎΡ€ΠΌΠ°Π»ΠΈΠ·Π°Ρ†ΠΈΠΈ Π² Ρ€Π°ΠΌΠΊΠ°Ρ… ΠΊΠΎΠ½ΠΊΡ€Π΅Ρ‚Π½Ρ‹Ρ… Π½Π°ΡƒΡ‡Π½Ρ‹Ρ… областСй ΠΏΡ€ΠΈ сохранСнии ΠΏΡ€ΠΈΡ‡ΠΈΠ½Π½ΠΎ-слСдствСнной строгости ΠΈ ΠΊΠΎΠ½Ρ†Π΅ΠΏΡ‚ΡƒΠ°Π»ΡŒΠ½ΠΎΠΉ согласованности.

Π Π°Π±ΠΎΡ‚Π° прСдставлСна Π² Ρ„ΠΎΡ€ΠΌΠ°Ρ‚Π΅ ΠΏΡ€Π΅ΠΏΡ€ΠΈΠ½Ρ‚Π° ΠΈ рассматриваСтся ΠΊΠ°ΠΊ ΠΊΠΎΠ½Ρ†Π΅ΠΏΡ‚ΡƒΠ°Π»ΡŒΠ½ΠΎ-мСтодологичСскоС основаниС для дальнСйшСго тСорСтичСского развития, эмпиричСской ΠΏΡ€ΠΎΠ²Π΅Ρ€ΠΊΠΈ ΠΈ мСТдисциплинарного примСнСния Π°Ρ€Ρ…ΠΈΡ‚Π΅ΠΊΡ‚ΡƒΡ€Π½ΠΎΠ³ΠΎ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Π° ΠΊ Π°Π½Π°Π»ΠΈΠ·Ρƒ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ слоТных систСм.

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Causal Mechanisms of Stability, Phase Transitions, and Collapse in Complex Self-Regulating Systems.pdf

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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)