# CSM_RH Paper 22 v0.1

Campaign 21 converts PDSD into an exact contraction-mass diagnostic and tests whether current theory or deterministic multiscale geometry can prove the required linear mass.

Main results:
- exact defect identity D(H)=4S(H)-S(2H)=||U_H-T_H U_H||_2^2;
- exact cumulative contraction mass G=log(R(H0)/R(HJ));
- fixed power requires G=Omega(log X);
- current Guth-Maynard-scale technology gives genuine but sublinear contraction mass;
- finite-support Poincare gives only a vanishing (H/X)^2 relative defect;
- smooth power-law drift is an explicit critical-locking model;
- current averaged prime-pair and variance technology does not prove a fixed relative scale gap;
- correction: the MLEPG residue-chain bridge allows every fixed 0<alpha<1, with kappa<min(alpha,delta,2-2alpha);
- Campaign 22 attacks arithmetic octave defect directly.

No proof or disproof of RH is claimed.
