# CSM_RH Paper 07 v0.1

Main results:

- raw component Gram gaps are not decomposition-invariant;
- a constant one-shot Gram improvement cannot change the N-exponent;
- a fixed contraction repeated at sublogarithmic depth yields only subpower decay;
- fixed-order Vaughan / Heath-Brown identities are interfaces, not contraction theorems;
- direct fixed-power Mertens cancellation already implies a fixed zeta zero-free half-plane;
- the raw MGGC frontier is retired;
- the new canonical frontier is `GZMPS`: a gauge-fixed recombined zero-frequency multilinear power-saving certificate;
- Campaign 07 pins one exact Vaughan identity and builds a full exponent ledger.

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