PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 9, 20260 citationsOpen Access

Dynamics of Admissible Systems: A Unified Operator-Theoretic Framework

Dynamics of Admissible Systems: A Unified Operator-Theoretic Framework for Offensive, Defensive, and Constraint Dynamics

View Full Paper
Ask AI
Bookmark
Share

Authors

AKA. Kim

Discussion

Loading...

Member takes

Overview

This manuscript introduces a unified framework for dynamics in various fields, suggesting a new understanding of resilience and collapse.

Key Points

  • The aim is to create a mathematical framework that integrates different domains through the concept of Admissible Systems.
  • Deriving universal evolution equations and Lyapunov stability inequalities.
  • Establishing criteria for structural collapse using regularized Fredholm determinants.
  • Developing a Universal Admissibility Principle to understand resilience and dominance.
  • Proved that systemic rupture occurs when the offensive-defensive operator loses invertibility.
  • Established a framework that unifies concepts across physics, biology, markets, and strategy.
  • The Universal Admissibility Principle emphasizes the balance between offensive capacity and structural coherence.

Cite This Study

A. Kim (2026) studied this question.

synapsesocial.com/papers/69fed17eb9154b0b82878d79https://doi.org/10.5281/zenodo.20076574
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Adaptive Admissibility and Tactical Geometry: Constraint Evolution, Borwein Plateau-Collapse, and the Unified Variational Principle2026
  2. 2Unified Admissibility Theory A Constraint-Geometric Framework for Physical, Quantum, and Computational Systems2026
  3. 3Why Every Dynamic System Presupposes a Predicate: Toward a General Theory of Admissibility2026
  4. 4Unified Operator-Control and Field Framework (MAMBA PROTOCOL)2026
  5. 5Quantum Geometry as Admissible Operator Structure (Geometry as a Physical Referee of Realizability)2026