Contact diagonal closed
v485_contact_diagonal_closed.py · core
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SEAM.CONTACT.UNIT.02: the diagonal channel of the merged analytic target (v484) settled at the computable level -- the merged residual collapses onto the keystone. [E] diagonal zero at the KMS scale: G_reg(0; l) = (1/pi) ln(l/2pi) exactly, vanishing iff l = 2pi = 1/(4c3) (the v239 KMS circumference) -- the seam scale is the unique zero-self-energy scheme point; [E] the log is the pure scale channel, matching F_U(1)'s single log term (transport 8b1 c3^6 ln(1/phi_seam)) vs the log-free phi0 split; [E] closed-form resummation (BFK route, v151 class): det(I - uC) = (1-4u)(1+2u)^2 with u = eps c3 ln2 -- all orders, linear term absent because the diagonal vanishes (Tr C = 0), series = v484's Tr(C^k); [E] weight dichotomy: the SAME 48 = 3x16 states counted flat give the phi0 multiplicity 48 = Omega_adm, and Y^2/loop/GUT-weighted give the alpha budget 41 = 10b1 = 40 + 1 (Tr_16 Y^2 = 10/3 exact, Ginsparg (3/5)(41/6) = 41/10). [C]/[O] with v484 every finite piece of the merged target is proven; the single remaining [O] is the abstract-seam zeta-det identification = a face of SEAM.EQUIV.01 (the v382 typing, now substantiated). Nothing closes.
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