Open Research Index

Metric–Pfaffian Stabilizers and Fixed-Hodge Field Recovery

Stephanie Alexander

Palomar Registrypalomar/PALOMAR-2026-09-30-000035Sep 30, 2026math.RTscore 0

For the explicit bivector metric induced by diag(1,1,1,-1,1,-1) and the Pfaffian cubic on fifteen real coordinates, the joint infinitesimal stabilizer is exactly the uniquely parameterized fifteen-dimensional orthogonal adjoint span. Under the metric condition, ninety specified cubic derivative checks certify preservation at every point. Within the joint stabilizer, commutation with a displayed local Lorentz Hodge operator is equivalent to annihilating its complementary reference and yields a unique six-plus-one decomposition, of dimension seven. Within this fixed-Hodge space, exactly the…

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