Conditional result
Marked symplectic functor fixes native Hodge Kraus space
In the question: Common clock sectors, quartic geometry and operational reconstruction
Full continuousSp4 naturality is mathematical property of category generated by markedOmega;v783 proves no such physical source symmetry. Original source must still select nativeF20 wordpair and quarter orientation. Source-conjugate wordpairs yield conjugateKraus spaces,distinct candidates in fixedBellchart. F20-labelled five-slot chart still has dimension-two Hom. No physical channel execution theorem.
Read the exact result, assumptions and evidence
Result
At fixed actual nativeF20 word pair and +i quarter orientation,the compatible alternating formOmega is unique up toscalar. W5=(Lambda²V/<Omega^-1>)⊗chi^-1 has positive metric,orthogonalq and compact real structureq conjugation. Canonical Spin5 map S→SOmega→L_S→L_Sq^-1 hasdet8,F†F=inducedSym²metric andHom_sp4 dimension1. It replaces merelyF20 U2×U1² ten-freedom by one phase line. OnW_R,K={x→*(w∧x)} is basis-independent5D,HS Gram6I andsumC†C=3I. ThusF defines a specific native Hodge candidate.
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.
- Original Pauli and v419 F20 source words
Use frozen v783 two-qubit Clifford generators, existing Pauli16 and central mu8, and actual cyclotomic v419 C5,G matrices. A constructed source-word F20 subgroup is available; its physical seam selection is not assumed.
Original evidence
- NATIVE-SPIN5-FUNCTOR-AND-KRAUS-SPACE.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/NATIVE-SPIN5-FUNCTOR-AND-KRAUS-SPACE.txt
3ffcad772d3f0a8fef31ff000cb716b18668f83d013ebe3a55b055d498080050
- NATIVE-SPIN5-FUNCTOR-AND-KRAUS-SPACE.txt lines 201–249
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/NATIVE-SPIN5-FUNCTOR-AND-KRAUS-SPACE.txt
3ffcad772d3f0a8fef31ff000cb716b18668f83d013ebe3a55b055d498080050
- check_native_spin5_functor.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_native_spin5_functor.py
86911d6e7634592fe9e61d232535224e9b8148308433a05a8ccf983e5a110fa2
- check_native_spin5_functor.py lines 201–300
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/check_native_spin5_functor.py
86911d6e7634592fe9e61d232535224e9b8148308433a05a8ccf983e5a110fa2
- native-spin5-functor-results.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/native-spin5-functor-results.json
5d51730bb45405d04e7c144de10cd7bb23b1b69dbc6fbe558beaa00f98f3dff0
- native-spin5-functor-results.json lines 201–333
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_recursion_20261028/native-spin5-functor-results.json
5d51730bb45405d04e7c144de10cd7bb23b1b69dbc6fbe558beaa00f98f3dff0
finding:marked-symplectic-functor-fixes-native-hodge-kraus-space