TFPT scientific source excerpt Original repository path: documents/archive--paper-latex--tfpt-42/sections/003-subsection-primitive-relative-spectral-dynamics.tex Original file SHA-256: 8683d7459140a06d5e03a06adefd05bf7e6538356e4e4da4397133aa991b8fe4 Inclusive original lines: 398-403 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000398 | \begin{corollary}[Carrier-compatible Lorentzian dynamics after closure] 000399 | Once the later carrier-compatible fluctuation package and the admissibility closure hypotheses of \Cref{sec:closure-theorems} are imposed, the resulting admissible Euclidean theory reconstructs a self-adjoint Lorentzian Hamiltonian $H_{\mathrm{adm}}$ and a one-parameter automorphism group 000400 | \[ 000401 | \alpha_t(O)=e^{itH_{\mathrm{adm}}}Oe^{-itH_{\mathrm{adm}}}. 000402 | \] 000403 | \end{corollary}