Established in scope
Gauge action plus original scale chart retain an invariant Higgs direction
In the question: New constructive routes to the original common field integration
Exact tangent test of this transformation family. No global diffeomorphism/Padm observable,new Ward assumption or global underdetermination theorem.
Read the exact result, assumptions and evidence
Result
On the constant chart g=a²g0,H∈C²,all original SU2 directions and the joint scale vector preserve I=a²|H|². Their Lie brackets also cannot change I. For H≠0 the rank is4 in dimension5,and smaller at the origin. Scale transport changes geometry and is not extra stationarity at fixed g.
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 constant gauge and scale chart
H∈C²,g=a²g0,a>0;actual SU2 action and R033 transport a→e^s a,H→e^(-s)H,MR→e^(-s)MR;no new scale axiom.
Original evidence
- relative-steiner-hypothesis-test.txt lines 1–44
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/hypotheses_20261105E/fieldint_hypotheses1/relative-steiner-hypothesis-test.txt
24010ed465f8fb53fe8dd58d1ab37b2ff2d56d737e29c0c89439e31978544dac
- ORIGINAL-HIGGS-BOUND-REFERENCE-PROOF.txt lines 49–128
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ORIGINAL-HIGGS-BOUND-REFERENCE-PROOF.txt
13e79f2be052ca918fd2be8faf8cf6f1669fc3ad535ccf9a3fdff5b7c0b1b3c5
- INDEPENDENT-REVIEW.txt lines 1–28
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-paper-source-reconciliation-20261102/hypotheses_20261105E/INDEPENDENT-REVIEW.txt
b97f898aac17c53f075cf08e09259e380ebbc0dcbbe79ab26e50392d7a96e1ce
finding:hyp20261105e-gauge-plus-scale-retains-invariant-radius