← All papers
SupportingFoundations
Existence and Stability of Finite Pre-Geometric Resolution Structures in Registration Theory
A finite-dimensional operator-theoretic theorem package for a candidate system-resolution map D_S = A_S R A_S†: existence, self-adjointness, positivity, fixed-data uniqueness, a rank factorization, a perturbation bound, and stability of threshold effective rank.
Scope
Supplements System-Relative Dimensionality in Registration Theory (isSupplementTo, DOI 10.5281/zenodo.21805584). Addresses only the finite static mathematical portion of that paper's resolution-map problem; physical derivation of A_S, history dependence, conservation dynamics, and dimensional interpretation remain open.
Relation to other papers
- Builds on System-Relative Dimensionality