Scoped exclusion
Unshifted vacuum fails the same W8 state and time dictionary
In the question: Common clock sectors, quartic geometry and operational reconstruction
Excludes only the unshifted vacuum replacement with this same W8 and time. No general exclusion of P1, other operators or other actually derived sources.
Read the exact result, assumptions and evidence
Result
The supplied quarter source has positive W8 spectral norm A1=93237295693374937125/15629680934138150912 at N level1. The unshifted vacuum has exactly A8 X^8 and no response at levels1 through7. No intertwiner can identify this same W8 insertion, state and time generator between those specified data. On the folded neutral sector N=(Lcal0^alpha-1/32)/8=K_alpha and H0=8N. The first shifted response has H0 grade8; the homogeneous unshifted W8 state has H0 grade64.
Required assumptions
- Fixed octic completion in the existing current space
In the supplied positive c8 current space,seek W8 only in the declared17 dimensional space:H8=sum_roots(alpha.h_-1)^8-30Q11^4 and the16 weight8 Q_ab monomials. H8 leading coefficient is1;root zero mode and L1=L2 must vanish. This specifies a mathematical existence ansatz,not an extra physical source or preparation rule. Uniqueness beyond this space is not assumed.
- Original quarter CAR source with fixed fold and current dictionary
The already supplied single-channel CAR source with actual quarter domains alpha=1/4,3/4, negative-D sea, positive original excitation time, unitary eightfold F and actual channel diagonalization is fixed. M,O,U+ and the conformal NS point-splitting reference are the same original dictionary data; the single delta counterterm follows from the kernel difference. Even CAR current composites retain full arc correlations, charges, domains, all modes, original time and the existing subtraction prescription including finite derivative counterterms. No E8 root/spinor extension is assumed for this neutral current subalgebra. Identity with the original P1 net, Theta, collar and reference sector is not supplied. Real profiles and pulse strengths are intervention data.
- Full existing local E8 field algebra with observer five-code
Accepted field-algebra scope: In accepted original E8_1 lattice vacuum use all existing Cartan/root currents, normal products, derivatives and local smooth smearings; native five-code is input/observer slice, not assumed dynamically closed. Retain all exterior charges/modes and both actual twenties. P,Q only decompose analytic endpoint/memory formulas, never execute intermediate projection. Global mode products of local fields are not localized instruments. PhysicalP1 pullback, intervention history, state/time stay separate. Intrinsic tensor/real-form/simplex reconstruction is not a postulated physical potential/state rule.
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
Original evidence
- P1-W8-LOCAL-MAP-AND-TWOPOINT-TEST.txt lines 146–173
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/P1-W8-LOCAL-MAP-AND-TWOPOINT-TEST.txt
072b6588666504ec4f04024e279030bbdf83b724102bac181ee3696133c1be28
- W8-SOURCE-TWOPOINT.txt lines 42–145
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/W8-SOURCE-TWOPOINT.txt
f8f03e184f8813ecaf7439f47903d3835896475e272bd0ea03f4e8d85c12f688
- P1-W8-INDEPENDENT-REVIEW.txt lines 365–455
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/P1-W8-INDEPENDENT-REVIEW.txt
62ecf1ed58792ae7bb88193194dbd392ad2895c1d48d954b475d136b5288a2d3
finding:unshifted-vacuum-fails-same-w8-source-state-time-dictionary