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Theoretical analysis demonstrates algebraic elimination of ghost states in mixed-signature SO(3, 3) spacetime, indicating preservation of strict macroscopic unitarity.
Previous formulations established that a dynamic topological constraint field kinematically suppresses negative-norm ghost states by decomposing the SO(3, 3) metric into a 3 + 1 + 2 structure. To elevate this kinematic suppression to a rigorous dynamical proof, this paper constructs an extended Arnowitt-Deser-Misner (ADM) Hamiltonian foliation. By proving the closure of the hypersurface deformation algebra under mixed-signature conditions and applying exact BRST quantization, we demonstrate that transverse-time degrees of freedom are algebraically eliminated, ensuring strict macroscopic unitarity.
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Changho Cho (2026) studied this question.
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