TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-admissible-source-closure-20261025/QUANTUM-OCTIC-COMPLETION.txt
Original file SHA-256: 2a075b2f0fc18c4133175eec20ef9b173fff7b23c3b66ef18c80c8505785f6c1
Inclusive original lines: 207-241
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.

000207 | 7. Global consequence and the remaining original identification
000208 | ---------------------------------------------------------------
000209 | The connected compact finite-dimensional E8 group fixes W8 exactly. Its K subgroup and the
000210 | original inner clocks therefore fix this state and field as well. In an
000211 | associated VOA bundle with those transition automorphisms, C W8 is a
000212 | canonical trivial subline and is parallel for the induced zero-mode
000213 | connection. This holds even when the K bundle has the old nontrivial class2.
000214 | No global Cartan subspace is required to glue this internally SCALAR observable.
000215 | Its conformal weight remains eight. On a source curve the associated
000216 | conformal weight line and the existing state-field transport must still be
000217 | retained; this is not an ordinary scalar function on the geometric base.
000218 | 
000219 | This does not trivialize the whole Cartan bundle, identify the Gaussian four
000220 | with the family factor, or derive local E8 gauge dynamics. In particular an
000221 | E8-invariant scalar cannot retain a nontrivial INTERNAL C12 eigenphase under
000222 | the inner E8 clock by itself. Geometric rotations can still carry the
000223 | conformal weight-eight phase. Charged
000224 | fields, their clock representations and reflection/domain data still matter.
000225 | 
000226 | The current original-source obligation remains one common identification of
000227 | the retained net/state/time/seam with the P1 tuple. For a claimed P1 field
000228 | this includes iota(Y_CAR(W8,f))=O_P1,8(f_P1) on the same invariant core,
000229 | with adjoints, point splitting and localization, INCLUDING the actual
000230 | reflection, elliptic collar operator and declared comparison reference:
000231 | 
000232 |  W Theta_CAR W*=Theta_P1,
000233 |  W_coll D_coll,CAR W_coll*=D_coll,P1 with mapped closed domains,
000234 |  W_coll D_ref,CAR W_coll*=D_ref,P1 with mapped closed domains.
000235 | 
000236 | The original even CAR state and time are already given; this obligation must
000237 | not be replaced by selecting a free state or another source model. The
000238 | existing P1-SOURCE-EMBEDDING-AUDIT.txt gives the three equations and their
000239 | source extents. Equation (1) closes a concrete operator-completion question;
000240 | it does not manufacture those remaining P1 data.
000241 |