Constraint Systems Institute archive

Non-Degenerate Construction and the Kernel of Admissibility

The Impossibility of Deeper Invariants Under the AMetric Boundary

Amos Jay Maley

This paper establishes that no deeper invariants exist beneath the AMetric Boundary. Once admissibility is enforced, the search for more fundamental, hidden, or pre-metric invariants is shown to be incoherent rather than incomplete. The analysis proceeds by exhaustion. It demonstrates that all proposed candidates for deeper invariants-structural symmetries, abstract information measures, meta-dynamical principles, or pre-geometric substrates-rely on illicit re-metricization, scope transport, or covert reintroduc...

All-version DOI
10.5281/zenodo.18518348
Archive page
https://constraintsystemsinstitute.org/papers/the-impossibility-of-deeper-invariants-under-the-ametric-boundary-10-5281-zenodo-18518/
Report number
CSI-ZENODO-18518348
Publication date
2026/02/07
Source record
https://zenodo.org/records/18518349