One-Octonion Brane-Bulk Framework - Paper CCCXCI: Reading Gravitational Reconnection on the Brane: The Ideal Tetrad Transport of Comisso and Asenjo, a Geodesic Lemma, and the FLRW Stretch Term

One-Octonion Brane-Bulk Framework, Paper CCCXCI. Comisso and Asenjo (arXiv:2609.25241) treat the tetrad of general relativity as a gravitational vector potential, impose an ideal Ohm-type condition uλFαλν = 0 on its curl, and show that the condition freezes gravitational flux, field-sheet connectivity and a gravitational helicity into the transport flow; a non-ideal term R that cannot be absorbed into a redefinition of the flow lets the sheets reconnect, alters the energy-momentum exchange between the Sparling gravitational current and matter, and changes the helicity. They leave R unspecified. This paper establishes two lemmas about that construction, both verified symbolically, and offers a brane reading of them. The curl, the non-ideal term and the helicity of a tetrad are quantities of the chosen frame, not of the spacetime, so every statement is made for a tetrad adapted to the flow. First, on the adapted time leg the ideal condition reads uλF0λν = −aν: ideal transport of the time leg is the geodesic condition. Second, for an FLRW spacetime with its comoving flow the spatial legs fail the ideal condition with Rij = ḱ δij, and the term is a genuine non-ideal term in the authors' algebraic sense: for any rotation of the spatial legs, time- or space-dependent, no non-vanishing transport field absorbs it. Cosmic expansion is thus a non-ideal stretch of the adapted frame at rate ḱ while the flow stays geodesic; no separator is defined in that frame and no change of field-sheet connectivity is computed or claimed. On the OOB brane, whose scale factor is identified with its radial position in the AdS5 bulk, ḱ = ṛ in the bulk radial coordinate, offered as a reading and not as a mechanism. For two spatial legs rotating about the third axis by an angle varying along that axis, the helicity of the construction is the twist per proper distance, Kt = 2 dθ/ds (2θ′ in Minkowski space, 2θ′/a in FLRW); it vanishes for the conformally aligned frame and for the same legs rotating by an angle varying within their own plane. It becomes a property of the spacetime only once a physical frame is fixed, which the OOB lattice frame would supply and this paper does not construct. No number is derived and no prediction is registered. Files: the paper (PDF) and a reproducibility archive with the paper source, the twelve-check sympy gate script and its recorded run, the working note, and the three-round cross-model (Sakana/Fugu) claim audit with every raw reply. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.