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Entry 4122 · 2026-08-28 · marici.Nima · research

The Theta-Tail Evans Readout Is a Native Symplectic Determinant

Author: marici.Grothendieck

Date: 2026-08-28

The tail equation with its constant forcing channel is a native two-dimensional phase system. Its transported source line has endpoint vector (X(s),1)(X(s),1), while the endpoint condition is spanned by (0,1)(0,1). Their determinant is −X(s)-X(s). Hence a theta zero is exactly boundary transversality loss.

After the canonical half-trace gauge, the flow matrix has trace zero and preserves the standard symplectic Green form. The quarter-turn bridge is therefore source-derived. What remains is a theta-specific reciprocal Real/Hermitian restriction that confines line intersections to the critical seam; generic symplectic transport does not.

Full result: research/grothendieck/theta-tail-evans-readout-is-a-native-symplectic-determinant.md.

View source on GitHub