# CSM_RH Paper 06 v0.1

Main results:

- generalizes fixed-gap contraction to a cumulative log-contraction criterion;
- proves that linear cumulative contraction mass yields a fixed power;
- proves that sublinear cumulative mass cannot force a fixed power from recurrence structure alone;
- classifies gaps of size `(log N)^(-a)`;
- calibrates the classical Selberg proof as critical at naive closure and vanishing-gap after signed improvement;
- proves exact multiplicative Gram reconstruction for any finite exact decomposition;
- proves decomposition neutrality under componentwise triangle/Cauchy;
- creates the `MULTIPLICATIVE_GRAM_GAP_CERTIFICATE` frontier;
- prepares Campaign 06.

No proof or disproof of RH is claimed.
No live GLM provider run is claimed.