What question did this study set out to answer?

The aim is to establish a mathematical framework, the General Theory of Regulated Stability, that relates various complex systems.

April 17, 2026Open Access

The General Theory of Regulated Stability (GTRS)

Key Points

The aim is to establish a mathematical framework, the General Theory of Regulated Stability, that relates various complex systems.
Deriving the variational principle from non-equilibrium thermodynamics
Applying structural topology to define stability
Linking quantum vacuum fluctuations with ecological resilience and neural dynamics
Establishment of a mathematical connection between different systems
Definition of the macrostate buffer as a survival threshold during phase transitions
The theory serves as a foundational grammar for interventions in various regulated systems

Abstract

AbstractThis manuscript formalizes the General Theory of Regulated Stability (GTRS), a scale-invariant framework governing the persistence of complex systems. By deriving the α < 1Variational Principle from non-equilibrium thermodynamics and structural topology, weestablish a mathematical link between quantum vacuum fluctuations, ecological resilience, andneural attractor basins. Central to this theory is the Macrostate Buffer (ΔScrit), which definesthe survival threshold during phase transitions. This Grand Synthesis serves as thefoundational grammar for validating interventions in all regulated systems.

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