Constraint Systems Institute archive

The AMetric boundary invariant

The AMetric Boundary Admissibility Constraint Map Paper II

Amos Jay Maley

This paper establishes the AMetric Boundary as a necessary division between admissible representational structure and illicit metric reanchoring. The boundary marks the point beyond which quantities, measures, probabilities, or gradients cannot be meaningfully introduced without violating admissibility. The analysis demonstrates that attempts to ground admissibility in metric notions-such as information measures, probabilistic weights, distances, or optimization criteria-implicitly cross the AMetric Boundary and...

All-version DOI
10.5281/zenodo.18518587
Archive page
https://constraintsystemsinstitute.org/papers/the-ametric-boundary-admissibility-constraint-map-paper-ii-10-5281-zenodo-18518587/
Report number
CSI-ZENODO-18518587
Publication date
2026/02/07
Source record
https://zenodo.org/records/18518588