Established in scope
Norm powers form one finite class with canonical period eight
In the question: Common clock sectors, quartic geometry and operational reconstruction
Complete complex N64/clock scope with retained markings; no inference of unique physical action from residue classes.
Read the exact result, assumptions and evidence
Result
Full finite relations for Wq,k require k=1 mod4. Adding four flips precisely the unresolved alpha sign; adding eight is canonically trivialized by the marked cotangent product and S0²=K. Fixed signed alpha distinguishes k1 and k5; existing projective spin-lift scope has one class. Finite relations do not determine integer winding.
Required assumptions
- Recovered genus2 cover with retained coefficients
Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.
- Unchanged A0* Fuchsian equation and actual C4 clock
Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift 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.
- Native Pauli translations and frozen Gaussian phase class
Native theta-translation target is P_nat=N64/mu4 from v783 in frozen four-component frame,with actual sigma and J=iI. Code quotient L/(1+i)L is the distinct duality-twisted context module. G31 has center mu4;full Clifford matrix group has center mu8 and additional coset zeta8 G31. Retain these concrete actions and phases.
Original evidence
- NORM-POWER-UNIQUENESS.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/uniqueness/NORM-POWER-UNIQUENESS.txt
e10ed195c257cce245ef5502f6e7cb5414783ae631089e3af03d18bc5ca8fb05
- NORM-POWER-UNIQUENESS.txt lines 201–204
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/uniqueness/NORM-POWER-UNIQUENESS.txt
e10ed195c257cce245ef5502f6e7cb5414783ae631089e3af03d18bc5ca8fb05
- check_norm_power_uniqueness.py lines 1–119
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/uniqueness/check_norm_power_uniqueness.py
e4c299a390f75f83deae2d0985235e5de0137fc6fefc0d07a3d8ac5cdcfd9fb8
- norm-power-uniqueness-results.json lines 1–142
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/boundary_origin_20261027/uniqueness/norm-power-uniqueness-results.json
3562ebc025136aeb765418ad0a0c8872994554bc502ba011d7c4d104d792e1d9
finding:full-clock-norm-power-class-and-canonical-eighth-period