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R02 · Constraint superposition and witness–carrier transmutation
RCHM × Hodge Research Round
R02 · Constraint superposition and witness–carrier transmutation
Constraint Superposition, Cancellation Domains, and Witness-Carrier Transmutation
Separates constraint conjunction (the kernel of the direct sum) from superposition (the kernel of a·Φ1 + b·Φ2), reads Kloosterman's excess tangent dimension of Hodge loci as the resulting 'cancellation quotient', and introduces 'witness–carrier transmutation' (the witness type changes along a flat family) from Kloosterman's quartic and cubic examples.
The number of constraints does not determine the effective freedom; the composition of constraints does.
All hypersurface content is attributed to Kloosterman 2025 and Duque Franco–Villaflor Loyola; the cancellation model is elementary linear algebra, not a new RCHM discovery about Hodge. The paper calls itself 'a major extension of RCHM v0.1'.
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