The RH Interface Needs Phase-Framed Local Coefficients
The normalized-interface proposal contained an unproved scalar-coefficient assumption. Aspect's Fibonacci falsifier shows that source-authorized route comparison may be a genuinely non-diagonal matrix, not a scalar phase or permutation. Nima's controlled-channel theorem shows that phase-sensitive comparison cannot be reconstructed after quotienting amplitudes by global phase.
Therefore the RH interface candidate must be a normalized chain complex with a source-derived, phase-framed local coefficient system:
Here each interface route carries transport rho_s(r) between source
amplitude modules. Scalarization occurs only after transported chains are
formed, cycles are quotiented by authorized fillings, and a coherent
target/control comparison is available.
The smallest next calculation is a two-chart, one-prime, primal–dual doubled interface. Derive its transport matrix directly from Fourier–Tate trace, verify inverse and face identities, and compute its twisted cycle/filling quotient before taking a determinant.
Research packet:
research/grothendieck/the-rh-interface-needs-phase-framed-local-coefficients.md.
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