Established in scope
The marked D5 grade response derives exponent5/4 from the same E8 source
In the question: Alpha: derived terms, unique root and physical EM identification
Exact response in the specified existing source, not a new field or fitted exponent. Does not derive physical preparation, u=48c3^4, q=exp(-2alpha), outer uq, baseline1/(6pi), or original EM instrument. Common time is not sector-resolved D5 readout. Replay26October2026:21/21; finite coefficient checks through degree12 do not replace the general series proof.
Read the exact result, assumptions and evidence
Result
Exactly G_u(q5,q3)=[(1-u)/(1-uq5)]^(5/4)[(1-u)/(1-uq3)]^(3/4). Hence G_u(q,1)/G_u(0,1)=(1-uq)^(-5/4); the common-time diagonal G_u(q,q) instead has exponent2. Powers follow from actual charge norms and the convergent oscillator series. Normalized local T5 insertion has Ward coefficient5/8. Fixed C/J do not generally preserve P5 but jointly transport charge and marking covariantly.
Required assumptions
- Marked regularized E8 charged state and sector-grade response
Existing positive E8_1 lattice vacuum source with original D5/A3 marking and 48 retained charges beta: beta^t P5 beta=5/4, beta^t P3 beta=3/4, beta²=2. The regularized charged vertex state has free preparation parameter u=r² in (0,1). N5,N3 are strongly commuting nonnegative oscillator grades; q5,q3 in [0,1] parametrize spectral readout. Keep original C/J matrices. u=48c3^4, q=exp(-2alpha), physical preparation, instrument and common time do not follow.
- Model results remain conditional
Calculations in a fixed E8 net, quotient, family packet, or readout apply only under their stated inputs and do not select those inputs.
Original evidence
- PROOF.txt lines 26–176
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/charged-sector-readout-clock-20261013/PROOF.txt
26e6480a6304e4da5be96328e70f5f56c5bee1bfde7e58593a34a273016d09e0
- checker.py lines 42–117
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/charged-sector-readout-clock-20261013/checker.py
bf949d11034c1d17322971b58c712c0bef01bb6a3d0e6aa63aeca6d7d41b45d6
finding:marked-e8-sector-grade-response-realizes-five-quarters