Fixed Points V: Curvature Coupling, Multi-Structure Dynamics, and Admissibility Barriers
Corrected sixth edition. This paper formulates multi-structure covariance and admissibility diagnostics on the corrected Fixed Points I-IV spine. For a frozen stable linearization it derives the stationary covariance and Sylvester equations, an operator-normalized canonical-correlation bound, finite-grid and continuous-time Gaussian exit estimates for affine margin observables, and an exact deficit score for declared admissibility constraints. Scope boundary. Equal-time covariance and correlation do not determine causal propagation, localization, an exit-causing force, dynamics after exit, or selection of a post-exit basin.
Authors
- Peter Nero (ORCID: https://orcid.org/0009-0007-1670-874X)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-28
- DOI
- https://doi.org/10.5281/zenodo.21650468
- Primary Topic
- Control Systems and Identification
- Type
- preprint