TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/joint-native-algebra-selection-20261016/CURRENT-RESPONSE-AND-DICTIONARY.md
Original file SHA-256: db9163de1017810818e104f651e531247378a4c8295580c8936cb19e594b4b73
Inclusive original lines: 68-98
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000068 | | 3 | -1 | 4 |
000069 | | 5 | exp(-i pi/3) | 12 |
000070 | 
000071 | The C and F currents with adjoints generate the stipulated E8 source,
000072 | so their joint action fixes the full automorphism. The order-four branch
000073 | is obtained, for example, using h_R+2cc*. Different logarithms with the
000074 | same finite endpoint do not select a unique continuous generator.
000075 | It would be incorrect to claim an unavoidable period-twelve obstruction.
000076 | 
000077 | ## 3. What matches at the finite native group, and what does not
000078 | 
000079 | The checker compares ALL 60 original event charts with the actual
000080 | quartic code action using Gaussian-integer compression. The comparison
000081 | uses the original oriented determinant-path lift h=lambda r,
000082 | lambda=exp(-i pi/4). Its source five-action is
000083 | 
000084 |     A5=lambda^4 rho5(r)=-rho5(r).
000085 | 
000086 | The opposite currents F then transform as
000087 | 
000088 |     A5 tensor bar(h)=lambda^3 rho5(r) tensor bar(r).
000089 | 
000090 | This is exactly the actual W20 intertwiner action of h^tensor3. Its
000091 | central square is +i. It is a statement about the coupled finite cover
000092 | <G31,zeta8 I> intersect SU4, not the unchanged order-two word r in G31.
000093 | All phases and both representations must be transported together.
000094 | 
000095 | This finite match is not a current-algebra tensor dictionary. If the
000096 | four charged source currents C_a are identified with the unchanged native
000097 | four-register, every source clock branch has C^tensor3=-I20. On F20 its
000098 | action is R5 tensor I4, which is nonscalar. With the actual isometry W,