Established in scope
Six ovoid fibers carry the clocks without a common fixed form
In the question: Common clock sectors, quartic geometry and operational reconstruction
Closes the finite common clock family on the existing Pauli object, without new tensor carrier or sigma-fixed symplectic form. Earlier four-dimensional no-go retains its added commutation premise. Original P1 must still select the marked F20 inclusion. Do not equate ovoids with six q/p divisor points, raw spread labels or sixty event records without maps.
Read the exact result, assumptions and evidence
Result
The six alternating Pauli forms define six actual Clifford fives. C,G fix IY and induce F20; sigma acts in two 3-cycles and alpha inverts sigma with alpha²=iI. C,G,sigma generate transitive PGL(2,5)≅S5 of order120, certified by explicit conjugacy to its projective-line action; adding alpha gives S6 of order720. Full five-current fibers, not only labels, transport covariantly. J is projectively trivial on fibers.
Required assumptions
- 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 clock family with marked F20 inclusion
Use actual native Pauli four, frozen sigma, transported scalar-square theta alpha, and explicit native C,G word pair intertwined with v419. Retain all six alternating Pauli forms. Do not assume P1 selects this conjugate F20, one form, or any current contraction.
Original evidence
- COMMON-CLOCK-BUNDLE-AND-E8-CARRIER.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/COMMON-CLOCK-BUNDLE-AND-E8-CARRIER.txt
106374c87838e492186dd4eca0145d1592a6d4eaa59a09e02511c377737ec671
- COMMON-CLOCK-BUNDLE-AND-E8-CARRIER.txt lines 201–292
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/COMMON-CLOCK-BUNDLE-AND-E8-CARRIER.txt
106374c87838e492186dd4eca0145d1592a6d4eaa59a09e02511c377737ec671
- check_native_six_ovoid_clock_bundle.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/check_native_six_ovoid_clock_bundle.py
003259b0ecb7d3b47007a0b36b3b5e16c826d9efae2927acfa1c2206548af4b3
- check_native_six_ovoid_clock_bundle.py lines 201–314
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/check_native_six_ovoid_clock_bundle.py
003259b0ecb7d3b47007a0b36b3b5e16c826d9efae2927acfa1c2206548af4b3
- native-six-ovoid-clock-bundle-results.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/native-six-ovoid-clock-bundle-results.json
e25218615a318697eaf4cb28150bc5c3bb04fdac4ef510fb61aa29174986b376
- native-six-ovoid-clock-bundle-results.json lines 201–239
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/clock/native-six-ovoid-clock-bundle-results.json
e25218615a318697eaf4cb28150bc5c3bb04fdac4ef510fb61aa29174986b376
finding:six-ovoid-clock-bundle-replaces-unnecessary-fixed-form-condition