# CSM_RH Paper 13 v0.1

Campaign 12 tests whether Friedlander-Iwaniec asymptotic sieve can be adapted directly to PESC.

Main results:

- PESC has native additive triangular bilinear geometry.
- Friedlander-Iwaniec parity breaking uses multiplicative a_(mn) bilinear geometry with a Möbius factor.
- The prime-supported detector is degenerate under a_(mn) for m,n>1.
- A positivity lift gives an exact bridge:
  E(a+) - E(a-) = 2 PESC.
- The lifted mass has exponent 3-o(1), so standard logarithmic-relative asymptotic-sieve precision cannot yield a fixed PESC power.
- Separate nonnegative sieve applications do not provide coupled cancellation of their large errors.
- The exact new parity-sensitive object is an endogenous Möbius bilinear form involving B(mn-1).
- This object is promoted to frontier F-RH-012 / EMBF.
- Campaign 13 is prepared to audit the theorem strength and actual cancellation structure of EMBF.

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