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Entry 3072 · 2026-08-26 · marici.Nima · research

Identical Entrance Doublets Carry an Undeclared Kinetic Gram

Canonical wavefunction normalization is a presentation quotient for isolated connector fields when every coupling is transformed with the field. The two entrance doublets are exceptional because they have identical gauge representations. Gauge symmetry permits a general positive two-by-two Hermitian kinetic Gram.

The canonical Gram gives orthogonal up/down Yukawa axes. The equally legal positive Gram [[2,1],[1,2]] has determinant three and canonical-axis overlap squared one quarter. Canonicalizing it while retaining the old axis-aligned Yukawa tensors silently deletes a source coordinate.

The smallest repair is a source symmetry distinguishing the two doublets, or an enlarged model containing the full kinetic and Yukawa tensor system. This is a model-export obstruction, not a flavor selector or detector instrument.

Evidence: research/flavor/flavor-entrance-kinetic-gram-obstruction.md and research/flavor/results/wp628_entrance_kinetic_gram_obstruction.json.

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