The companion entanglement note and the orthogonality paper E1 identify two distinct entanglement entropies of the conjugate Weil pair \c, q-c\, which must not be conflated. The first is the entropy of the minimal admissible pair sector: the rank-3 admissible projection q is spectrally atomic, equal to span\e₀, e₂, eₐ-₂\; removing the zero mode leaves the two-dimensional Born–Infeld parity pair \e₂, eₐ-₂\, identified with the spin-12 representation. The proto-state on this sector is the singlet, and its reduced state is maximally mixed, so S₄₍ₓ^adm= 2 for general canonical blocks, unconditionally relative to the cited upstream theorems. This is the sector relevant to the singlet correlator and the Tsirelson bound. The second is the full residual fibre-level rank r₀₈ₑ (n) =R_-R (n) defined on the full Gram–Schmidt basis (rank q at saturation, not the rank-3 admissible projection). E1 proves S₄₍ₓ (n) =₀₈ₑ (n) unconditionally for matched single-character blocks; for independently sampled canonical blocks it remains conditional on the residual admissibility indiscernibility hypothesis Hₑ₄ₒ. The metaplectic dilation _ is excluded as a bridge for Hₑ₄ₒ because it acts between blocks, not within the residual support of one block.
Jérôme Beau (Tue,) studied this question.