Private timestamp deposition: Target Gap Minimal Basis Branch for Structured Tensor Decomposition

Private timestamp deposition of the target_gap_minimal_basis_branch.

This package documents a structured tensor-decomposition research branch centered on exact target-gap closure, minimal basis extraction, and nullity-threshold diagnostics in a target-aligned operator family.

Key documented results in this deposition include:

- exact target-gap closure with leakage-free full target visibility- reduction from an exact 166-operator pool to robust exact 81-operator families- a family-specific nullity-threshold pattern with off_target_nullity = 27 in the exact 81-operator families- coefficient-feasibility diagnostics showing that tested sub-81 operator families do not pass the hard nullity filter off_target_nullity >= 27- a completed single-drop nullity audit showing that, in three exact 81-operator families, every 1-step deletion lowers both off_target_nullity and leakage_free_target_rank from 27 to 26

Important clarification:Derived 27-operator coordinate bases and 9-operator output bases included in the analysis are nullspace-derived operator systems inside the exact 81-operator carrier family. They are not claimed as new standalone 27-product or 9-product matrix-multiplication algorithms.

This deposition is intended for priority, provenance, and timestamping. It is not yet the final public-facing research package.

ORCID: 0009-0002-3883-5540

Contact: [e-mail]