TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt
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000858 | Central phases, locality and
000859 | charged oscillator factors must not be inferred from a charge permutation.
000860 | The result closes the actual retained chiral winding action, not the
000861 | source-to-native-field or raw P1/P2 selection.
000862 | 
000863 | 18. TWO VALID EXISTING FIELD CONSTRUCTIONS RETAIN THEIR OWN PREMISES
000864 | 
000865 | The older source-graded-locality-20260920 contract is a constructive field
000866 | map, not merely a negative result. In its stipulated Gamma=I(9,1),
000867 | 
000868 |   e_i=F_aux(r_i)-a_i m,
000869 |   r_i=e_i-a_i a_vec/2,
000870 |   a_vec=(1,1,1,-1,-1,-1,-1,-1).
000871 | 
000872 | The original fermion equals an E8 current times an odd complement vertex,
000873 | with the inherited cocycle. The two projected half-integral monodromies
000874 | cancel. Since q(r_i)=1+a_i and q(-a_i m)=-a_i, the full quarter character
000875 | exp(2pi i alpha q) is retained exactly. The complement is indispensable.
000876 | An indicated positive velocity/energy matrix can be transported through
000877 | the full lattice map; an indefinite lattice isometry alone does not choose
000878 | that energy matrix, its state or the extra counterpropagating pair. The
000879 | massive Dirac factor and its odd threshold additionally require the stated
000880 | mass/energy choice. They are not consequences of the above charge identity.
000881 | 
000882 | Similarly the standard E8_1 fermionization via its nonanomalous Z2 with
000883 | fixed D8_1 reconstructs sixteen Majorana fermions using spin/twisted
000884 | sectors (Smith-Lin-Tachikawa-Zheng, arXiv:2303.16917v2 sections2.1,5.1).
000885 | That is not a simultaneous local inclusion of vector and spinor fields,
000886 | nor a fixed-quarter-state/time map. The existing source-z8-parity-descent
000887 | and source-sector-reconstruction contracts already preserve this limit.
000888 | No new fermionization or monodromy no-go is claimed here.
000889 | 
000890 | For a root lambda, the affine modes obey
000891 | [J_lambda,m,J_-lambda,n]=H_lambda,m+n+m delta_(m+n,0), not constant CCR.
000892 | Thus matching the (10,6) label does not identify J_lambda with the native
000893 | mediator b_A. Normalized Cartan oscillators do have CCR, but are different
000894 | charge-neutral operators. Neither construction selects native f64,b60,
000895 | their interaction, a Lorentz intertwiner or full physical time from P1/P2.