Established in scope
Actual quarter fold reaches the octic ray at eighth order
In the question: Common clock sectors, quartic geometry and operational reconstruction
Given source/reference. Nonzero component, no pure preparation/ImM projection or P1 identity; minimum8 for c_-1≠0.
Read the exact result, assumptions and evidence
Result
Original M/O/U+ gives ||d||²=85/128 and F8hat(b)≠0 for BOTH quarters. Exactly <F8;d|(L_-1^d)^8Ω_d>=8!barF8hat(b), L_-1^d=Lcal_-8/8. All22 partitions give norm8!(85/128)_8. For smooth real A_d(g), jets k<8 vanish, k8=8!barF8hat(b)c_-1^8; genuine local bumps with c_-1≠0 hit without truncation. Full Mobius orbit agrees.
Required assumptions
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
- Symmetric quartic and actual erasure intertwiner
Use Sym^4 of the native four-representation, the actual five codeword sums, and the existing one-register erasure intertwiner. The symmetric tensor rule and its physical selection are not silently inferred from the full tensor product.
- Original displayed J-equivariant root isometry
Use existing S=_SIMPLE and T=_TARGET_SIMPLE from cartan_source._glue_deck_character_certificate: O=T S^-1/sqrt2 maps actual Construction-A roots r/sqrt2 to original Chevalley roots r/2, preserving metric and J. This is the existing concrete map, not a newly fitted embedding; physical P1 selection stays separate.
Original evidence
- NATIVE-FOLDED-OCTIC-ORIGIN.txt lines 1–150
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-octic-seam-origin-20261025/NATIVE-FOLDED-OCTIC-ORIGIN.txt
c694cb1cee45e65145fdbf144925e45178a7d0ee29adb7142400a00a970e259b
- LOCAL-STRESS-HISTORY.txt lines 1–155
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/native-octic-seam-origin-20261025/LOCAL-STRESS-HISTORY.txt
4c73f82829a1678912c9a30505dceedd495d7b9173b97485860fb36c5d87e34c
finding:actual-quarter-fold-stress-has-nonzero-octic-eighth-jet