Established in scope
Actual native clock has a definite original quarter-time response
In the question: Automatic joint origin hypotheses and source responses
Concrete specialization of the already known fixed-time versus background-transport distinction. Source/primary states in given conditional lattice,no physical preparation,SI quantity or P1 OS-time claim. Native clock need not commute with fixedH;driven active operations remain possible. Joint background covariance is an identity,not a derived selection process.
Read the exact result, assumptions and evidence
Result
The actual orbit p=e0+e2 to Rp=(1,1,−1,1,−1,1,1,1)/2 to e1−e5 to p has H_exc energies(5/2,17/2,4) or(7/2,19/2,4) atN0. First step DeltaH6,DeltaK3/4 for both alpha. Normalized charge-primary returns in original K time obey C_Rp(t)/C_p(t)=exp(−3t/4). Full source identities are H(Rp,N)−H(p,N)=8(R^Tdelta−delta).p and K_Rdelta(Rp,N)=K_delta(p,N).21 exact controls on original data and full symbolic identities passed under−OO.
Required assumptions
- Actual native clock with fixed original quarter generator
Given original M from fold-results.json,native sigma from v634,R=M^T sigma M and conditional source L=D8+Z(q/2) with original level1 form. Use K_delta(p,N)=p²/2+delta.p+N,delta_k=(k+alpha)/8−1/2,alpha1/4 or3/4,H_exc8K. The affine comparison preserves N and requires whole energy equality at the same fixed delta on all p in L. No primitive P1 clock operator,physical OS-time dictionary or general requirement that active operations preserve energy is assumed.
- 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
- SOURCE-TIME-AND-AFFINE-CLOCK-TEST.txt lines 1–125
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/joint-source-clock-field-closure-20261102/SOURCE-TIME-AND-AFFINE-CLOCK-TEST.txt
1707f253a9f8794f63fede4444e2ea0ff673a84530eccabf0b4f9baf7b0624db
- check_actual_clock_time.py lines 1–69
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/joint-source-clock-field-closure-20261102/check_actual_clock_time.py
bf7408af6128d767a8a5c9e6a638b7278488e7ff7709d15d6fe72c4507abd147
finding:r100-actual-native-clock-has-original-quarter-energy-response