TFPT scientific source excerpt Original repository path: documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex Original file SHA-256: 7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79 Inclusive original lines: 83-91 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. 000083 | \begin{remark}[Almost-commutative realizations] 000084 | \label{ass:almost-commutative-factorization} 000085 | When a factorized realization is useful, one may choose 000086 | \[ 000087 | \mathcal H\cong L^2(\widetilde M,S)\otimes \Hint, 000088 | \] 000089 | with $S\to\widetilde M$ the spinor bundle on the oriented double cover and $\Hint$ a finite 000090 | internal Hilbert space. This is an analytic realization choice rather than part of the boundary 000091 | datum.