Established in scope
Neutral octic and adjoint have a controlled microscopic smeared limit
In the question: Common clock sectors, quartic geometry and operational reconstruction
The full energy contains Hosc+Σ(q²/2+δq)≥Hosc+Σq²/32, so P_E is finite dimensional. P_E is a comparison projection, not executed. Local regulators retain the eight arcs. No simultaneous diagonal UV limit, bounded point field or complete stress-unitary limit.
Read the exact result, assumptions and evidence
Result
On every actual positive source-energy cutoff, ||F8_m P_E||≤C(1+E+|m|)^11. Smooth mode sums converge absolutely and field/adjoint are closable. Global E-independent CAR approximants give N→∞ before mode-cutoff removal. The local route with the SAME Wick polynomial/counterterms gives N→∞, then separate field mollifier removal, then point-split removal.
Required assumptions
- Existing microscopic one-channel CAR theorem
Use the original width8/mass1/r1 QWZ strip, its negative spectral projector and filled state, its positive relative excitation Hamiltonian, actual local top-edge CAR fields and the proved field/adjoint/charge/time limit. Full orientation transport identifies this source with negative sea alpha1/4. Its identification with P1 is not supplied.
- 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.
Original evidence
- SMEARED-OCTIC-ENERGY-BOUND.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/SMEARED-OCTIC-ENERGY-BOUND.txt
9ba6c518b6f254ff1c4152fb27d8525154cbd92b47377c5c59ba597b8823f563
- SMEARED-OCTIC-ENERGY-BOUND.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/SMEARED-OCTIC-ENERGY-BOUND.txt
9ba6c518b6f254ff1c4152fb27d8525154cbd92b47377c5c59ba597b8823f563
- SMEARED-OCTIC-ENERGY-BOUND.txt lines 401–487
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/SMEARED-OCTIC-ENERGY-BOUND.txt
9ba6c518b6f254ff1c4152fb27d8525154cbd92b47377c5c59ba597b8823f563
- MICROSCOPIC-TO-OCTIC-COMPOSITION.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/MICROSCOPIC-TO-OCTIC-COMPOSITION.txt
eb0d6d436abeab7ace1ff094740c4b0d4748d3599331bfb3454dcb21e328ef5a
- MICROSCOPIC-TO-OCTIC-COMPOSITION.txt lines 201–333
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/paper-source-reconstruction-20261025/MICROSCOPIC-TO-OCTIC-COMPOSITION.txt
eb0d6d436abeab7ace1ff094740c4b0d4748d3599331bfb3454dcb21e328ef5a
finding:microscopic-neutral-octic-has-controlled-smeared-limit