Established in scope
Complete family-four-cycle lift class separates native clock and fixed SM preservation
In the question: Automated construction of operator maps and sources
New complete application to a precisely declared lift class, not1024 new physical sources. A family four-cycle is not a general substitute for native clock. Existing positive C kappa C^-1=Jhat and whole C12 conjugacy remain solved;kappa is not such a family four-cycle. A jointly transported SM embedding in full E8 remains allowed. No new P1 source, physical field statistics or Yukawa selection is proved. The separate odd Cartan-rank gate excludes only fixed real root charts and is not extended to all inner field conjugations.
Read the exact result, assumptions and evidence
Result
The whole exact E8 quarter-lift family[g5,eta C4] is covered by1024 Spin10 torus representatives modulo4D5. Exactly320 have actual native weight-one character(60,64,60,64) and belong to the native inner field class by the already proved complete E8 torus classification. They have3 odd vector planes and even residues0,2; their Spin10 centralizer isA2+u1³ and cannot contain an additional commuting weakSU2 beside colorSU3. The whole original-SM-commuting subclass has16 representatives with only(64,64,56,64) or(70,56,66,56),hence no nativeJhat match. Independent analytic review reproduces all characters and the full histogram. Already Tr248g=Tr45g5−1=2(d²+k−3) decides the load-bearing distinction.
Required assumptions
- Complete Spin10/SU4 family-four-cycle quarter-lift class
Given original E8 roots and Spin10×SU4/Z4 embedding. Candidates are g=[g5,eta C4],C4 a family four-cycle,eta^4=-1,g5 compact inSpin10 and g of exact E8 order4, equivalently g5^4=-1Spin. Allow all SU4 conjugates. The original SM subgroup inside Spin10 is marked; preserving it is tested as an additional subclass. No physical identification of mark rotation and native clock is assumed.
- Full unitary E8 field conjugacy with transported marks
Start with the existing unitary E8 lattice VOA, original cocycle and actual chat,Jhat,sigmahat. Full inner unitary E8 automorphisms are allowed for this conjugacy comparison. Cartan, Gaussian V4, Y, P5 and other marks are transported rather than frozen. This category is explicitly larger than original sign lifts and implies neither a G31 splitting nor a preferred microscopic conjugator.
Original evidence
- CLOCK-CLASS-PROOF.txt lines 1–126
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/CLOCK-CLASS-PROOF.txt
875711d782a807196969e6bc11f39f054678216e6ebe786107904575560ea74f
- CLOCK-CLASS-REVIEW.txt lines 1–171
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/CLOCK-CLASS-REVIEW.txt
0a2927c4022f0e3a1cb1c6f6430a815aaee66347beebf3d5945c0b7da0406539
- clock-four-cycle-class-test.json lines 1–189
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/clock-four-cycle-class-test.json
831a8f41e8bbc85aabb604a9bbc2f9760e5ded9ccbf0dd4974100dc5eba12c52
- clock-general-spin10-class.json lines 1–16
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/clock-general-spin10-class.json
fb2cb4e9f10de48b7432a02f9734073197d5b2c7b1288ef4f5ffa934266fdb5f
- check_clock_four_cycle_class.py lines 1–98
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/check_clock_four_cycle_class.py
0c74e5e98dd56a0eafcd7876ff799406ba35ff8259f576e52b2d386ca77cd5b8
- NATIVE-CLOCK-CONJUGACY.txt lines 1–101
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-source-reconstruction-20261024/NATIVE-CLOCK-CONJUGACY.txt
5f208d8d32fdc77e774ec77b5a320f378cfc9e2c8793d4d3d439983aae583a45
finding:complete-family-four-cycle-class-separates-native-clock-from-sm-preservation