TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/automated_source_search_20261029/REVIEW.txt
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000001 | Independent review of the Weyl reflection type test
000002 | 29 October 2026
000003 | 
000004 | Verdict: ACCEPTED WITH THE STATED ALGEBRAIC SCOPE.
000005 | 
000006 | Read check_weyl_reflection_types.py in full. Executed it directly with
000007 | python3 and independently with python3 -B -OO. Both exited 0 and generated
000008 | the same stored result. Independently recomputed all 64 row verdicts from
000009 | the orientation and face permutation signs and checked tuple uniqueness.
000010 | Exactly 32 of the declared 64 variants preserve the Weyl relation.
000011 | 
000012 | For W(f)W(g)=exp(-i sigma(f,g)/2)W(f+g), a scalar-conjugation sign c and
000013 | product-order sign o require sigma(Lf,Lg)=c o sigma(f,g). In particular,
000014 | an anti-linear order-reversing map requires a symplectic real profile map.
000015 | The proposed single-chiral L=-r is antisymplectic and fails. With a signed
000016 | two-face form diag(+8,-8), reflection combined with face swap is symplectic.
000017 | The global field sign does not alter these verdicts.
000018 | 
000019 | The direct four-Weyl tests include the rational scales 1/3 and 1/5.
000020 | This matters: level-8 integer basis profiles alone can have trivial
000021 | commutator phase modulo 2pi and conceal the error. Independently, with
000022 | these rational scales the original phase is 104/15 in pi/4 units modulo 8;
000023 | its required conjugate phase is 16/15, whereas single spatial reflection
000024 | plus order reversal still gives 104/15. Thus the exclusion does not rely
000025 | on an accidentally aliased phase. The pi/4 units are a harmless choice
000026 | of real profile normalization; the initial first-mode check establishes
000027 | the actual current cocycle's orientation sign.
000028 | 
000029 | An additive real Weyl character cancels from a group commutator and cannot
000030 | repair the mismatch. The report's numerical character example is a control;
000031 | the general statement follows from additivity at f+g-f-g=0.
000032 | 
000033 | The 64 variants exhaust the declared finite menu only: four channel cases,
000034 | two scalar types, two product types, two spatial maps and a common field sign.
000035 | They do not classify all possible real linear profile maps or source models.
000036 | This is a necessary algebraic test with ordinary Weyl products. It is not
000037 | an OS reconstruction, a Grassmann symbol-product no-go, reflection positivity,
000038 | a physical P1 source, physical time, locality or a complete TFPT solution.
000039 | The opposite-face pair is only an algebraically consistent target candidate.
000040 | Existing positive Green sources and prior null relations are unaffected.
000041 | 
000042 | The conditional formula in the 28 October reflection report must therefore
000043 | lose its claimed same-chiral ordinary-Weyl anti-linear anti-homomorphism
000044 | interpretation. An original OS-word-to-operator dictionary remains required.
000045 | 
000046 | Reviewed SHA256 values:
000047 | check_weyl_reflection_types.py
000048 | 16858a9da91e3ebb3a641c7595ac3e7a5b3e048ac1102b49f34aa4340e941869
000049 | weyl-reflection-type-results.json
000050 | e0f346fb85a9580a3672949e8c9eae5c4a1a86bd6f12810435c98566c02f0440
000051 | 
000052 | Only this review file was added. No source, ledger or physics promotion.
000053 | 
000054 | Additional source-text review
000055 | 
000056 | Read PROOF.txt and STAND-EINFACH-DE.md in full after the checker review.
000057 | Accepted their scientific scope. The local witness is valid: for a real
000058 | nonconstant f in C_c^infinity(I), g=f' has the same compact support and
000059 | integral f g'=-integral (f')^2 is nonzero. This proves a local version of
000060 | the cocycle obstruction without inferring localization from Fourier tests.
000061 | 
000062 | The opposite-face signature and face swap are explicitly conditional;
000063 | their actual source realization, state, positivity and time are not claimed.
000064 | Both texts keep the excluded ordinary operator-product identification
000065 | distinct from Grassmann OS symbol products and their reconstruction.
000066 | They preserve the earlier positive Green results. The finite 64-case menu
000067 | is not presented as exhaustive physical research. No correction required.
000068 | No additional calculation was run for this source-text review.