TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/joint-native-algebra-selection-20261016/ORIGINAL-ORDERED-CURRENT-KERNEL-AND-SEAM-GRADING.txt
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Inclusive original lines: 33-65
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000033 | 2. Exact original CAR state/current intertwiner, not a new local field map
000034 | 
000035 | An actual charge0 source occupation has descending occupied positions
000036 | r_i=lambda_i-i, a unique partition lambda. The fixed vacuum has lambda=0.
000037 | Map this original orthonormal wedge basis to the orthonormal Schur basis
000038 | s_lambda(p). Thus the actual five inputs become the explicitly saved
000039 | P_i(p)=sum_(|lambda|=32)c_(lambda,i) s_lambda(p), without discarding any
000040 | coefficient. The five support sizes are694,710,711,713,688 in each quarter.
000041 | Every actual input has charge0 in EACH of the eight residue channels,
000042 | hence empty8core and total8quotient size4. Neither dimension matching nor
000043 | a freely chosen isomorphism is used for this identification.
000044 | 
000045 | The Hall metric is <p_lambda,p_mu>=delta_lambda,mu z_lambda. Original
000046 | CAR currents intertwine as J_-m=p_m and J_m=m partial_(p_m), m>0.
000047 | Murnaghan--Nakayama removal of each Young rim ribbon of size m, with sign
000048 | (-1)^height, computes the latter. Independent ribbon calculations match
000049 | the FULL CAR output vectors for every m=1,...,32 and each of five inputs,
000050 | both quarters; no Gram-only comparison. Every m>32 annihilates these
000051 | inputs by original positive energy. Raising uses infinite Maya bead moves;
000052 | its tail is not a finite five-state closure or finite mode truncation.
000053 | Full first-mode CCR is independently checked on all five states.
000054 | 
000055 | With delta=alpha-1/2 and original Q, the fixed geometric stress is
000056 |  Lcal_m^alpha=sum_(n>0)J_-n J_(m+n)
000057 |              +1/2 sum_(r=1..m-1)J_(m-r)J_r+(Q+delta)J_m, m>0.
000058 | Negative modes are adjoints; Lcal0=degree+Q^2/2+delta Q+delta^2/2.
000059 | This has the previously verified original CAR coefficients r+m/2+alpha.
000060 | Full positive stress1/2 vectors match CAR independently, both quarters.
000061 | The ground term is retained. Finite stress-mode words follow from these
000062 | same current operators, not a newly chosen geometric coupling.
000063 | 
000064 | IMPORTANT LOCALITY LIMIT: this is an original STATE/current intertwiner.
000065 | It does NOT identify the original folded quartic field with a point-local