SAM and the Riemann Hypothesis Exact normalization, boundary reduction, and a composite Möbius determinant

The Substrate Accumulation Model supplies a route from normalized accumulation tologarithmic translation and an exact archimedean normalization at A0 = 1/(12π). Theendpoint-conditioned Weil form, paired scale differences, exact π8 reference reservoir andcritical prime-attenuation transport place this normalization beside an explicit arithmeticreceiving problem. We develop that problem into a single family of nonnegative Gramdeterminants. Overlapping windows [X, 4X] and an elementary prime-reference lower boundreduce the complete prefix target to O(√X) event-cell coordinates; the Euler boundaryforces the limiting longitudinal coefficient to vanish. Finite causal restoration of a coprimebilinear residual has a constant coefficient envelope K∗ = exp(2/ log Q). Möbius inversionthen leaves the literal odd squarefree composite source, with low-rough-product, deep-factor,squareful and prime corrections paid in the original norm. A reciprocal-cell rate, shortedalong the actual prime reference, has an independently funded moment at most 195K2∗ . Amaximal short-interval Möbius theorem strengthens it to every fixed inverse-logarithmic order,uniformly over output-prefix reveals. At H = exp √log(4X), the reference-shorted lowpassMa, a = X/(H2 +1), has subpower recovery cost. We prove that ⟨ΠFsf,Y, MaΠFsf,Y⟩ = Y o(1)is equivalent to the original all-real subpower receiving target and therefore implies RH.The low-height primitive-ray sector is paid by 4H(1 + log Y ), with its signed complementretained. The uniform upper bound for the complete determinant remains open. All sourcechanges, incoming charges, terminal contributions and recovery costs are explicit.