Established in scope
Original common metric and whole-source Ward identity fix vacuum pole geometry
In the question: Complete physical Hamiltonian source with Gauss sector and thermal word limit
Positive application of existing geometric source and conditional whole quantum implication. Does not newly select invariant vacuum or prove whole source covariance. H thermal state,KMS modular boost and ordinary Hamiltonian time are not identified. No equal massive group/medium velocities or LR-bound-as-Lorentz-metric claim. Shared pole kinematics alone is not full IR universality.
Read the exact result, assumptions and evidence
Result
Original Lorentz geometric branch uses the same Clifford anchor and g contraction for retained matter/Higgs/gauge kinetics. Under WHOLE source covariance and invariant vacuum, the Legendre map carries Ward identity to the same Gamma_ren and its Hessian transforms in actual field representations. Physical scalar pole factors then depend on common q_g. Internal mixing,masses,residues create no independent species-speed parameter. QFT008:199–254 supplies the precise source covariance/OS hypothesis, not inferred from the principal symbol alone. Preserve reference cancellations and nonpropagating blocks.
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.
- Original covariant geometric source branch and invariant vacuum
Actual original Lorentz geometric branch with common D_geo Clifford symbol and its actually retained nondegenerate kinetic blocks. Quantum implication assumes WHOLE source/reference/regulator or renormalized Ward covariance and a flat Lorentz-invariant vacuum with actual field representations. This does not follow from the symbol alone and is not asserted for every H KMS state or optional lattice caller. Retain full moments rather than cumulants as OS family and R044/R045 reference cancellations.
Original evidence
- SHARED-METRIC-SOURCE.txt lines 1–187
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/SHARED-METRIC-SOURCE.txt
329344c7ed896a68ae1960ad5e2c86afecbdeef065242e279209a201a1632281
- GEOMETRIC-CONE.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/GEOMETRIC-CONE.txt
c2829de6f1e7853fcd3ec547e7d621c1b6172e02873800095416c1861371abe2
- GEOMETRIC-CONE.txt lines 201–270
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/GEOMETRIC-CONE.txt
c2829de6f1e7853fcd3ec547e7d621c1b6172e02873800095416c1861371abe2
- I-FINAL-REVIEW.txt lines 1–67
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/I-FINAL-REVIEW.txt
7ee5e27cfe8076ab8a126aa2ca96629ee39ae7f560e8cbcd08f1986c83dccae7
finding:original_common_metric_and_whole_source_ward_fix_vacuum_pole_geometry