TFPT scientific source excerpt Original repository path: documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/002-section-intrinsic-closed-branch-and-canonical-rigid-obje.tex Original file SHA-256: 1de90a4a7379bef804cc7815d72c0f86bb398a5771e9b00997c4bb15e8815f9e Inclusive original lines: 78-82 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. 000078 | \begin{corollary}[Carrier-compatible Lorentzian dynamics after closure] 000079 | Once the later carrier-compatible fluctuation package and the admissibility closure hypotheses of \TFPTxref{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 000080 | \[ 000081 | \alpha_t(O)=e^{itH_{\mathrm{adm}}}Oe^{-itH_{\mathrm{adm}}}. 000082 | \]