Actual five neutral sourceE32 states map exactly by original Maya occupations to Schur states. All32 lowering-current VECTORS independently match Young ribbons, stress1/2 matches fixed Sugawara and full CCR, both quarters. All state coefficients saved. Kij(u,v)=<Pi,exp(sum um pm)Pj(pm+mvm)>Hall gives all mixed current correlations; Weyl response additionally retains Gaussian sum over ALL profile modes, not only1..32. Every finite smooth density/source-time history follows with original BCH phase. Actual folded quartic fields remain on eight original preimages: A_a=Ualpha diag(Vka)Ualpha*, scalar source operation gives Gphi(x+)dagger A_a Gphi(x-). Entire existing point splitting/reference subtraction conjugated, no second b shift. Separated Heisenberg field products follow from finite Wick Pfaffians using same ordered Calpha/1-Calpha.
For a new attempt: 17Oct full original current/field response available: exact Maya/Hall state intertwiner with all32 CAR vectors, closed multi-profile/time history kernel retaining ALL Gaussian tails, actual folded-field products on eight original preimages with same ordered Calpha/1-Calpha point splitting. No weight32 point-field identification. Internal seam grades products mod4; all four full energy classes strictly fullrank, commutant1, no sharp3+2 input reading. Mean density work scalar on wholeK4 packet; full coherence nonscalar. Next test ORIGINAL P1 boundary action and its claimed admissible physical variations/output data against THIS explicit full-field path: does it supply a selected source family/response functional or intrinsic event relation with fixed reference/admissibility? Name first underived dotD/dotB/dotQ or output functional and work there. Reuse existing P1-INSERTION-TANGENT/action-response-sewing results, no generic inverseKMS/composition replay. No free profile weights/modes29/30/newclock/measurement/positiveprocessing/mark-commutation axiom. Retain global pair/sixrays/60flags/E8 whole; physicalq/S/3+2/P1 open.
Four native marks as fixed-source-state gauge redundancy
Excluded is identifying the four marks as all-response-preserving symmetries of the FIXED original fold state within the specified actual quartic space. Universal central OPE metric forces such action unitary and preservation of tr(Pq D1), whose four exact values are pairwise distinct per quarter. Not a universal classification of physical P1 gauge equivalences or exclusion of passive whole-presentation transports.
For a new attempt: 18Oct: The four starts and polar planes have pairwise distinct correlation invariants in the SAME original fold/NS field dictionary. Whole E8 datum transport is covariance, not fixed-state symmetry or physical gauge proof; odd-CAR only separately transported passively. Do not maximize c1 or polar trace or repeat fixed-point/profile tests. Check the actual original preparation, event or output datum for which already distinguishable relation is instantiated. No fitted coupling, invented detector or four P1 theories. Retain full E8/erasure/time/carry response; physical source and q/S/3+2 remain open.
Compare four marks via full state-relative kernels
Actual unitquarticrayswq=sqrt(6/5)nq,q2..5,S01 in same originalFCαF* fixedconformalNS/M/Odictionary give phase-invariant connectedc1=wq*D1wq. Common denominator1006632960,numeratorsα1/4=(1200580,1300621,982285,1446340),α3/4=(1308100,1521805,1089805,1338820);all6pairs distinct perquarter. c2=4335/131072,c3=85/256,c4=1 equal; firstdifference alongtheserays sixthorderinb. Alsotr(P(q,01)D1) givesfour pairwisedistinctQ(sqrt6)values perquarter. Therefore noall-response-preserving fixed-state*-equivalence transporting actualquarticspace andtheseplanes; universalOPE-I metric forcesunitarity. Obstruction doesNOTrelyonlyontrivialG31stabilizer andplane-onlytestneedsnoextra distinguished-raypreservation.
For a new attempt: 18Oct: The four starts and polar planes have pairwise distinct correlation invariants in the SAME original fold/NS field dictionary. Whole E8 datum transport is covariance, not fixed-state symmetry or physical gauge proof; odd-CAR only separately transported passively. Do not maximize c1 or polar trace or repeat fixed-point/profile tests. Check the actual original preparation, event or output datum for which already distinguishable relation is instantiated. No fitted coupling, invented detector or four P1 theories. Retain full E8/erasure/time/carry response; physical source and q/S/3+2 remain open.
Original pointer template, four-context algebra and full CAR support
Complete exact classification of given four-mark algebra and every nonzero quartic field support; positive-energy preparation lemma with explicit local separation. No new physical source or selection follows. Complete original joint25 field space now classified by degree8/6 injectivity.
For a new attempt: 19Oct: Original conditional pointer template found; four native polar planes are incompatible potential contexts, not outcomes of one joint sharp measurement. Mark algebra C+M4 is coupled to full M5 by original D1. Every nonzero native quartic has all eight original support locations under same M/O pullback. In positive separating CAR net, exact E32 preparation from same sea by bounded proper-local A is excluded; approximation, other states and unbounded insertions are not. Connect ONE actual original P1 context/preparation/record datum, real support, reference, time and A/A* admissibility to this field dictionary. Do not impose exact eigenpacket preparation, code closure or pointer commutation with every response. No fitted coupling, q maximization, profile scan or eight independent arc vacua. Physical source/q/S/3+2 and common clock lift remain open. Addendum: same exact support theorem now covers original normalized erasure20 and all25 joint fields; no field combination removes a source arc. No separate E24 preparation claim.