frontier research · active draft

The Disclosure Deficit

What Survives the Fee Family

Which fee-family results remain after removing the topology, safety, and prediction claims?

Key result

fee(G) = rank δ_full − rank δ_obs = |H| − #(components touched by hidden fields); the witness matroid is a direct sum of uniform matroids, so the minimum-disclosure-set count is ∏|C_{d,j}|

This internal consolidation lane admits only audited disclosure, rank, incidence, repair, and null results.

Abstract

Six papers advanced a scalar invariant of tool composition and the repair theory built on it; five are withdrawn and one archived. What survives is a rank identity and its matroid backbone: the deficit is a difference of two signed-incidence ranks, equal to the hidden-field count minus the number of components those fields touch, field-independent by total unimodularity. The repair space is a product of carrier-component sizes, not a product of spanning-tree counts. The claimed operational sparsity of the repair space is not supported.

Record
Status
active draftNot assessedfrontier · draft-2026-07 · as of 2026-07-22
Corrections

Consolidates only surviving results from the withdrawn fee-family papers; the spanning-tree basis count it replaces was wrong.

Falsification

Any included result that depends on cycle necessity, topology branding, execution prediction, or a false repair-basis statement must be removed.

External review

not requested

Program relations