Introduction and ScopeWe introduce Adaptive Stability Geometry (ASG) — a geometric and variationalframework for analyzing stability, instability, and collapse in adaptive systems acrossarbitrary domains. The central premise of ASG is that system behavior is governed not byisolated variables or domain-specific equations, but by the geometry of an underlyinginstability field defined over a structured state space.ASG is designed as a coordinate-invariant and scale-invariant theory, in which thetransition between stability and collapse is determined by a finite set of dimensionlessgeometric invariants. These invariants are constructed to be independent of physical units,system representation, and underlying implementation, thereby enabling a universal treatmentof adaptive systems.
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Roman Lukin
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Roman Lukin (Mon,) studied this question.
www.synapsesocial.com/papers/69ccb78416edfba7beb898f0 — DOI: https://doi.org/10.5281/zenodo.19325588
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