TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/original-local-source-variable-background-20261102/GEOMETRIC-CONE.txt
Original file SHA-256: c2829de6f1e7853fcd3ec547e7d621c1b6172e02873800095416c1861371abe2
Inclusive original lines: 201-270
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.

000201 | General covariance of Gamma[g,n,...] does not imply Lorentz invariance at
000202 | a fixed nonzero background vector n. The actual bound reference must move
000203 | with the original source transformations as established in G.
000204 | 
000205 | Local covariant renormalization is an actual constraint on the products,
000206 | not a consequence of the word 'Dirac'. A primary existence result is
000207 | Hollands-Wald for local covariant time-ordered Wick products of a free
000208 | scalar on curved spacetime, https://arxiv.org/abs/gr-qc/0111108 . Its
000209 | scope is not imported as a full interacting Standard Model or lattice
000210 | universality theorem. No unrelated RG mechanism is used in this review.
000211 | 
000212 | 6. THERMAL STATE, CAUSAL FRONT AND LR BOUND ARE DIFFERENT CLAIMS
000213 | 
000214 | H constructs finite-beta KMS sources on the actual v1013 Hamilton class.
000215 | A thermal state has a rest-frame direction; its response can depend on
000216 | both q_g and u.p even when its underlying relativistic action is covariant.
000217 | Different dispersive medium/group velocities therefore do not refute(2)
000218 | for a vacuum branch and are not forbidden by a common fundamental cone.
000219 | If causal locality of the underlying relativistic net is already given,
000220 | its operator spacelike commutation is independent of the chosen KMS state.
000221 | This is not derived for arbitrary lattice models merely by naming them KMS.
000222 | 
000223 | The actual v1013 table instead gives a graph metric on Z2, finite range,
000224 | g=1.2, hopping t=0.6, DET/clock/charge terms, and the class estimate
000225 |  v_LR=32086 e/225 approximately387.64.
000226 | It also reports a numeric velocity2.0 below that bound. The original LR
000227 | inequality bounds tails of commutators in graph distance; it is not an
000228 | exact null support condition, a Minkowski metric, a measured common
000229 | species velocity or a replacement for(3). Those frozen original
000230 | coefficients are its Hamilton-class inputs, not values inferred here from
000231 | the geometric Clifford symbol.
000232 | 
000233 | Use the actual supplied geometric/IR map when comparing these routes.
000234 | The geometric package map is already present and G carries it; this
000235 | report does not reopen a global missing-map claim. The mandatory original
000236 | IR question is whether the chosen lattice source realizes its intended
000237 | Lorentz/low-momentum universality and controlled corrections. A finite
000238 | thermal velocity mismatch alone does not decide that question. An exact
000239 | a->0 limit remains optional under the original route decision.
000240 | 
000241 | SOURCE RECORDS INDEPENDENTLY READ
000242 | 
000243 | Metrology001:30–149, paper-source:10c47d481fd025831567f94b,
000244 |  SHA256f03609effe2abf6629a0057fa024c29fba0c59176072588599bfa1646f48939e.
000245 | Metrology002:39–170, paper-source:1cee7daa7a306afb8295d265,
000246 |  SHA256313dade0e18117f8b4f5c7ad88d8e91caeaa11fe4a23cf32fc3f7bac238dab58.
000247 | Metrology004:1–169, paper-source:3a81043815727ab8a8dbca23,
000248 |  SHA256669d088bea83eef25cfd9960905893cc57d2827c7b4d7558c5aa7b408b85581a.
000249 | QFT005:144–235, paper-source:972de2429406831890ef4161,
000250 |  SHA2568bf0a37157505ca12b90154dbe41a29c49a503686a8493dffd63945f205e0af6.
000251 | QFT008:179–213,215–254,
000252 |  paper-source:7004462d1f80f8f54fb831c0 /023f8b7e09f96c131ee29d4f,
000253 |  SHA256898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc.
000254 | QFT007:29–118,144–250,300–372,
000255 |  paper-source:f588a78cad85dd5237213db3,
000256 |  SHA2569c1c587cbd61fc4034649d778d16f1ee0e8c1e1189885babb3d8148a6fe72d7c.
000257 | v1013 actual interaction table:1–146,
000258 |  paper-source:4cc6102a923009e972617edc,
000259 |  SHA2569f53a07911c9e2e8f6b2f594b7c154f5a8dc0faeb2e9a429cc04a229cc6f4294.
000260 | Existing G CURRENT-ARGUMENT-MAP:116–162 was read to preserve A_Sigma typing.
000261 | 
000262 | VERDICT
000263 | 
000264 | Original shared tree cone: established inside its printed Lorentz
000265 | low-curvature branch. Quantum common invariant pole kinematics: follows
000266 | from the ORIGINAL full covariance and invariant-vacuum hypotheses, with
000267 | no extra species-speed matching premise. Their application to a given
000268 | lattice/KMS state is not automatic. This is the strongest constructive
000269 | source-supported simplification found here; it is not a complete new
000270 | fundamental or IR-universality theorem. No canonical source was changed.