Established in scope
Bound reference retains even torsion curl in both lift charts
In the question: Recursion, hypergraphs and mirroring at the original joint source
Exact local quadratic product calculation with unscaled reference, not an evaluation of arbitrary whole Brel, moving Calderon domains or projected source. Imaginary eta phase does not cancel a real bulk coefficient; no automatic eta constancy claimed. No instability diagnosis or full Sadm/Htrpos/spectrum.
Read the exact result, assumptions and evidence
Result
For independent real S both original linear deck charts give deltaDref=W[S_minus], deltaDrel=W[S_plus]. In the stated ordinary product anchor Delta a2=9d/(32pi²)[exp(2sigma)I_plus+(exp(2sigma)-1)I_minus], Delta a4=-3d C_plus/(64pi²)-9[T I_plus+(T-Tref)I_minus]/(32pi²). Minus curl cancels and plus curl remains. The bare algebraic P25 parent and this ordinary residue functional differ on that family; this does not exclude a whole quantum-source identity after actual integration.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Actual real geometric torsion and bound reference
Use the actual ordinary Spin4 matrices and complete symbolic full96 Phi with J and total grade, minimal geometric spin lift and both existing linear R032 deck charts. Retain the independent axial S path before its matter equation. The flat constant-Phi sector is an existing chart, not a spacetime derivation or new physical field selection.
- Ordinary original product anchor with bound reference
Existing ordinary Spin4/full96 product chart, full constant Phi and constant sigma, original linear R032 decks and unscaled reference. Compute ordinary local bulk residues of the anchor contribution with a fixed elliptic boundary realization and fixed kernel rank in the variation. This does not evaluate arbitrary S-dependent or additional first-order Brel or moving Calderon compression.
Original evidence
- HISTORICAL-BOUND-TORSION-REFERENCE-AND-FIELD-IMAGE.txt lines 1–122
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/HISTORICAL-BOUND-TORSION-REFERENCE-AND-FIELD-IMAGE.txt
cae869fdf3bac9a2ca83324764bf9dd6388d2cec3ad49fcb602145e462e275d3
- gebundene-referenz-und-feldbild.json lines 1–140
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/historical-dynamics-source-recovery-20261103/gebundene-referenz-und-feldbild.json
e04164737f01d2dc86a7b7f44508da710ca969f99ae00429b2bff960ed18a9d3
- 001-subsection-from-bridge-to-geometric-completion.tex lines 1–146
Source checked at this snapshot
Original location and fingerprint
documents/archive--tfpt-45--source_extracts--05_metrology_source/sections/001-subsection-from-bridge-to-geometric-completion.tex
f03609effe2abf6629a0057fa024c29fba0c59176072588599bfa1646f48939e
finding:torsion20261104c-bound-reference-leaves-even-curl