\Psi-Architecture: Axiomatic Foundations of Adaptive Stability and the Geometry of Reality
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2026
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| _version_ | 1866901685315567616 |
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| author | Taranova, Anna |
| author_facet | Taranova, Anna |
| contents | <p>This work presents a fundamental interdisciplinary framework that proposes an architectural description of reality as a unified Complex Adaptive System (CAS). Shifting away from object-oriented ontologies, the author introduces a flow-centered approach where physical laws, biological organization, and cognitive processes are treated as specific regimes of a single underlying circulation system.</p> <p>Key components of the research include:</p> <p>• Universal No-Go Theorem: A formal proof demonstrating the inherent impossibility of maintaining stability in complex systems through external optimization or control beyond a critical complexity threshold (N^*).</p> <p>• The Invariant of Adaptive Time (\tau = R \times C): Defined as a necessary condition for autonomous stability and the internal "rhythm" of systemic coherence.</p> <p>• Geometric Synchronization: A derivation of non-transmissive coordination, explaining how structural alignment occurs without signal transmission or energy exchange through toroidal topology and metric collapse.</p> <p>• The Ψ-Operator: Introduction of an architectural predicate that defines the admissibility of physical manifestations and the transition from potentiality to realized form.</p> <p>• Temporal Integration Nodes (TIN): A structural definition of the observer as a regime of "architectural superconductivity" where resistance approaches zero and circulation becomes lossless.</p> <p>The work bridges the gap between theoretical physics, systems theory, and cognitive science, establishing that reality is not a collection of partial maps, but a single, architecturally coherent structure where physics becomes a realization of geometric necessity.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18512711 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | \Psi-Architecture: Axiomatic Foundations of Adaptive Stability and the Geometry of Reality Taranova, Anna \Psi-Architecture; Complex Adaptive Systems; Adaptive Stability; Flow-centered Ontology; Toroidal Topology; No-Go Theorem; Structural Time; Non-transmissive Coordination; Systemic Coherence. Ψ-Architecture, Psi-Architecture, Axiomatic Foundations of Adaptive Stability, Flow-centered Ontology, Universal No-Go Theorem of Control, Adaptive Time Invariant, \tau = R \times C, Toroidal Topology, Non-transmissive Coordination, Temporal Integration Node, TIN, Architectural Conductance, Adaptive Capacity Horizon, ACH, Structural Reconfiguration Phase, SRP, Unified Circulation Principle, Architectural Causality, Systemic Superconductivity, Diversity-Coherence Law, Complex Adaptive Systems, Geometric Realizability. <p>This work presents a fundamental interdisciplinary framework that proposes an architectural description of reality as a unified Complex Adaptive System (CAS). Shifting away from object-oriented ontologies, the author introduces a flow-centered approach where physical laws, biological organization, and cognitive processes are treated as specific regimes of a single underlying circulation system.</p> <p>Key components of the research include:</p> <p>• Universal No-Go Theorem: A formal proof demonstrating the inherent impossibility of maintaining stability in complex systems through external optimization or control beyond a critical complexity threshold (N^*).</p> <p>• The Invariant of Adaptive Time (\tau = R \times C): Defined as a necessary condition for autonomous stability and the internal "rhythm" of systemic coherence.</p> <p>• Geometric Synchronization: A derivation of non-transmissive coordination, explaining how structural alignment occurs without signal transmission or energy exchange through toroidal topology and metric collapse.</p> <p>• The Ψ-Operator: Introduction of an architectural predicate that defines the admissibility of physical manifestations and the transition from potentiality to realized form.</p> <p>• Temporal Integration Nodes (TIN): A structural definition of the observer as a regime of "architectural superconductivity" where resistance approaches zero and circulation becomes lossless.</p> <p>The work bridges the gap between theoretical physics, systems theory, and cognitive science, establishing that reality is not a collection of partial maps, but a single, architecturally coherent structure where physics becomes a realization of geometric necessity.</p> |
| title | \Psi-Architecture: Axiomatic Foundations of Adaptive Stability and the Geometry of Reality |
| topic | \Psi-Architecture; Complex Adaptive Systems; Adaptive Stability; Flow-centered Ontology; Toroidal Topology; No-Go Theorem; Structural Time; Non-transmissive Coordination; Systemic Coherence. Ψ-Architecture, Psi-Architecture, Axiomatic Foundations of Adaptive Stability, Flow-centered Ontology, Universal No-Go Theorem of Control, Adaptive Time Invariant, \tau = R \times C, Toroidal Topology, Non-transmissive Coordination, Temporal Integration Node, TIN, Architectural Conductance, Adaptive Capacity Horizon, ACH, Structural Reconfiguration Phase, SRP, Unified Circulation Principle, Architectural Causality, Systemic Superconductivity, Diversity-Coherence Law, Complex Adaptive Systems, Geometric Realizability. |
| url | https://doi.org/10.5281/zenodo.18512711 |