Established in scope
Antilinear Real structure is not linear duality and compact conjugation does not invert clocks
In the question: Automated construction of operator maps and sources
Exact first-type-error review of external candidate;neitherP1 no-go nor selection of physical Real form/reflection. Linear dual formulaWm*=ΛoddE⊗D^(−1−m) remains valid in its own type. E0 and involutive global Kummer lift retained. Fixed0,1,∞ forcesbar t only under assumed passport preservation. No unique whole-field lift orOS positivity. Oval holonomy alone proves no fermionic boundary zero-mode count;already selectedS0 must be retained. Whole operational Seed retains state/time.
Read the exact result, assumptions and evidence
Result
The reviewed LemmaP is refuted within same existing carrier type:E=O(1)⊕O⁴ onCP1 hasE≅σ*barE forσz=barz,since base reversal and conjugation each reversec1. Exterior/determinant functors give involutivej_W for every integerm withoutm4=−1/2. Compatible split/Chevalley conjugation extends over whole complex E8 bundle preserving brackets. Compact conjugationsigma_c instead commutes withAdg for compactg∈K,exchanges both64 branches and compensates conjugate phases. Alreadyκv=−iv gives sigma_cκsigma_c⁻¹v=−iv,not+i v. Thus general normal-reflection prohibition,compact clock-inversion claim and trivial-slot exclusion of commuting variant are false.
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
- CLAUDE21-NORMAL-REAL-TYPE-REVIEW.txt lines 1–105
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE21-NORMAL-REAL-TYPE-REVIEW.txt
544ebcee4af6bd99098ed3443cea93da74e7c4ace0d9c040f89240ba0e47b53a
- CLAUDE21-COMPACT-REAL-CLOCK-REVIEW.txt lines 1–92
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE21-COMPACT-REAL-CLOCK-REVIEW.txt
111ffb2b7cdc5c42928a410d90680100d225b3d9fc9c673a2ace0c8f4d3fcac6
- 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
- CLAUDE21-CANDIDATE.txt lines 1–91
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/CLAUDE21-CANDIDATE.txt
b4f13229764db1c3f43cf6801ea0e55e39907b37f017043386c982e5926c7001
- PROOF.md lines 36–78
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/source-joint-spin-family-lift-20260922/PROOF.md
d3ae02543e90d840879808554816f923cc36cab52268a032d1ce29c2569f5bd2
finding:real-source-reflection-is-not-linear-duality-or-compact-clock-inversion