Scoped exclusion
Spin5 Hodge five lies in the Pluecker kernel, not original quartic Hessians
In the question: Common clock sectors, quartic geometry and operational reconstruction
Excludes ordinary quartic polarization, existing Hessian family and unchanged purely holomorphic CAR point splitting. Does not exclude mixed-adjoint or asymmetrically differentiated OPE components; new mixed-current representation is unaffected.
Read the exact result, assumptions and evidence
Result
Correct congruences D_m=F_RᵀC_mF_R vanish identically as quartics on S=zzᵀ. Multiplication Sym²(Sym²V4)→Sym4V4 has rank35 and kernel20 with independently checked scalar line and Spin5 five, jointly dimension6. Actual process._code_basis quartics and existing2+2 flattenings have image rank5 and zero intersection with Hodge five. Original holomorphic transport AAᵀ=0 prevents unchanged holomorphic point splitting from lifting the null relation.
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.
- Symmetric quartic and actual erasure intertwiner
Use Sym^4 of the native four-representation, the actual five codeword sums, and the existing one-register erasure intertwiner. The symmetric tensor rule and its physical selection are not silently inferred from the full tensor product.
- Actual positive Cartan quartic Fock embedding
Use original Construction-A roots with physical metric dot/2 and u_j=(h_2j-i h_2j+1)/sqrt2 as J=+i basis. Canonically embed the actual five Sym^4 code support sums as neutral grade4 Heisenberg polynomials in the given E8_1 lattice vacuum. No physical preparation follows.
Original evidence
- SPIN5-QUARTIC-POLARIZATION.txt lines 1–160
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/SPIN5-QUARTIC-POLARIZATION.txt
5f4787d9ab0677d0ffed098e804e37eecf116afa9d36863d007339b8f809e243
- check_spin5_quartic_polarization.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/check_spin5_quartic_polarization.py
50f7a3c52f24b1a434b9f1175997c312159b07801921bfe8f541d1bede3b93c5
- check_spin5_quartic_polarization.py lines 201–382
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/check_spin5_quartic_polarization.py
50f7a3c52f24b1a434b9f1175997c312159b07801921bfe8f541d1bede3b93c5
- spin5-quartic-polarization-results.json lines 1–62
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/spin5-quartic-polarization-results.json
97d3d7977942922f94574385093741e652fcf7f40f3a6d2399a3856ef2591f45
finding:spin5-hodge-five-is-plucker-kernel-not-original-quartic-hessian