Original Write Histories and a Coupled Source–Field Action

Abstract. A final source state does not, by itself, specify the action accumulated on a lifted phase path, the positive time spent
traversing it, or the response of a coupled field. We assemble a source-resolved construction in the Substrate Accumulation
Model (SAM) that keeps these quantities distinct. Original signed Write incidence yields an invertible three-phase map, a
half-angle tensor orientation, and the action one-form ℏ(d𝛾 + 3d𝜒). Retained source histories exhibit both wrapped-phase
collisions with nonzero lifted action and an order-dependent clock one-form with nonzero local curvature. The complete pair
source contains six driven two-state lanes and four unforced states. Receiving this source into the stated SAM_land quadrupole
field and quantization laws gives a single interacting quantum action, retaining two real polarizations, the full source energy,
boundary interaction, and both counterterm payments. Interior–exterior field matching fixes 𝜅 = 4/5 within that normalization.
Exact charge accounting retains both helicities and all counter-rotating words. Correlation-sensitive instantaneous bounds and
accumulated-phase bounds distinguish an actual phase clock from a stationary reference gap and specify how action coefficients
transform between the two time coordinates. Completed precursor campaigns report all five H02–H06 carrier trajectories
certified at the original logarithm tolerance, full mixed-response and inverse calculations, and an independently reconstructed
Si29 entropy–area coordinate map. The latest interacting-action supplement is presented as an analytical construction under
explicitly identified receiving laws; its new numerical receiving certificates were not included in the supplied record. This
separation preserves both the constructive result and the exact scope of its completed computational evidence.