Scoped exclusion
Fixed quarter source admits no energy-preserving affine clock compensation
In the question: Automatic joint origin hypotheses and source responses
Only fixed linear partR,fixed originaldelta,all charges and unchangedN. Does not exclude nonlinear or oscillator-changing operations,joint background/state motion,an independently derived different time or TFPT as a whole. No new charge shift is inserted as a source.
Read the exact result, assumptions and evidence
Result
On the full rank8 lattice,coefficient comparison in K_delta(Rp+b,N)=K_delta(p,N) uniquely forces b=Rdelta−delta;the constant then vanishes. For alpha1/4 b=(0,0,3,−1,−5,−9,−8,−8)/16;for3/4 b=(0,0,1,−3,−7,−11,−8,−8)/16. Pairing with original p=e0+e2 is3/16 or1/16,so b is not even dual-integral. T(0)=b excludes this affine selfmap onL. Entire class decided,not a count of candidates.
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-fixed-quarter-native-clock-has-no-energy-preserving-affine-charge-repair