← NS-X72 / X72-47 · Beltrami Tension-Cancellation Dynamics and Source-Lock
Building on Round 46's scalarization of visibility into a single scalar carrier, this round derives the carrier's complete dynamics: writing the exact equations for the amplitude source, the tension source, and the total visibility gap (built from three channels — vorticity stretching, gradient stress, and the transport commutator), distinguishing a 'state-level cancellation' from the stronger 'source-level cancellation,' and, near a constant-amplitude Beltrami background, obtaining the linearized visibility normal operator, proving that its tangential kernel corresponds exactly to the symmetric tangent directions. Proves that the Beltrami-invariant branch satisfies cancellation at every level simultaneously, but in general only source-level cancellation determines the true contact order of visibility. Route halts at STOP-C51 (state–source cancellation / Beltrami-normal-coercivity gap): the coercivity of this normal operator on the quotient space is not yet proved, nor has an unconditional source-cancellation mechanism been found, left to the next round to examine the operator's kernel.
Relationship to the rest of the series, stated as closely as possible in the document's own words, not my interpretation.
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