Conditional result
Actual quarter preserves K bundle;Kummer cover admits separate Real lifts
In the question: Automated construction of operator maps and sources
Supplied split carrier/connection and explicit oldF/native-family frame assignment. Not original P1 selection or minimization of original topological cost. EarliermA assignment is not silently replaced. Q is notκ;fundamental spectrum onW is1,1,i,−i. Fixed-mark C3 descent remains distinct from allowed transported-mark orbit. Kummer frames and Real type must be specified;coefficient lift proves neitherOS/Pin/Clifford nor physical time. Existing minimal48 common cover with inverted ROOT C12 deck is reused;that deck is not equated with verticalc0. Correction:explicit Kummer-function lifts differ from calibrated meromorphic-line/flat-coefficient-fiber lifts. Their h_a signs are not additional relativeAq² signs. WholeK quarter uses original calibrated coefficient lift.
Read the exact result, assumptions and evidence
Result
In actual q frame,m=(0,−1,0,−1),R=diag(ω²,ω,ω²,ω) are preserved by oldAq. Its parallel line maps extend to whole K cocycle,connection and all associated E8 products;four iterations are identity. Adapted nativeκ,σ0,c0 commute withQ. Of six existing toral norm minima,exactly thism anddual(−1,0,−1,0) areQ invariant. Explicit global Kummer lifts Qh_a=r_a/h_(−a−1),Th_a=1/barh_(−a−1),r=(ω,−ω,−ω) obeyQ⁴=T²=1,TQT=Q⁻¹. E0=QT sends h_a→r_a barh_a and squares1. Same line permutation does not fix lift square:D_sT for s=(−1,−1,+1) squaresD_(−,+,−).
Required assumptions
- Supplied split carrier with actual q sign lines on genus-two cover
Given existing split carrier E3⊕E2 with unitary split connection onX and actual unitary flat q linesL0,L1,L2 on old coverC:w³=(z²−1)/(z²+1),η²=1−w⁶,product1 andπ*Fv117=L0⊕L1⊕L2. Pull these data toX×C and combine with declared alignment to mA slots. This does not selectX,E,mA or alignment as original P1 quantum source.
- 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 evidence
- C3-QUARTER-EQUIVARIANT-JOINT-LIFT.txt lines 1–88
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/C3-QUARTER-EQUIVARIANT-JOINT-LIFT.txt
f6f6dac8b91ce13b65ad39b8c42319afaf32c1b07ab1ce703d6c9202fb850ca0
- C3-REAL-QUARTER-COMPATIBILITY-REVIEW.txt lines 1–131
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/C3-REAL-QUARTER-COMPATIBILITY-REVIEW.txt
e118c54415cb2b80174a4950b146e8050f787bc1f536f3fb0068054f6420a242
- CLOCK-Q-PACKET-COMPATIBILITY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/CLOCK-Q-PACKET-COMPATIBILITY.txt
fe37f20bbb2d959dfe678ca1bf435a69067cfcb859a3d36769294bbe9bf61c32
- SIGN-LINE-COVER-DICTIONARY.txt lines 1–180
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/SIGN-LINE-COVER-DICTIONARY.txt
555f75a2d3c67347fa5f8e3c4f7f46e79d94cb4172176c84010224585dc842e7
- CLAUDE22-SZEGO-FIRST-REVIEW.txt lines 1–186
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE22-SZEGO-FIRST-REVIEW.txt
76d97c22caf295b502cbab98e82aa747f6f9d6b8ac0b1c6dcf1db61ada240f19
finding:actual-q-quarter-extends-common-k-connection-and-real-coefficient-lifts