Stability as a Property of Space
Introducing K, the cross‑domain restoration invariant
Summary
This paper defines K as a spatial invariant — the restoration modulus of high‑dimensional state‑spaces. K does not measure behaviour; it measures the geometric forces that determine whether a system can return to structure after deformation. It unifies attractor theory, information geometry, quantum coherence, and the Clarus 8‑Station manifold into a single cross‑domain stability quantity. K marks the boundary between reversible deformation and irreversible collapse, providing a stability signal that remains meaningful across domains, embeddings, coordinate systems, and architectures.
Sections
Sections
Motivation: drift, collapse, recovery across domains
K as restoration modulus
Coordinate‑free invariance
Boundary logic
What K is not
The Clarus 8‑Station Stability Manifold
Internal geometry as the source of K
Quantum architecture as prototype
K in information geometry
Why K is the first real cross‑domain invariant