Established in scope
Five complement amplitudes give full Petersen quantum channel and SU5 response sectors
In the question: Common clock sectors, quartic geometry and operational reconstruction
Previously excluded single coherent sum C_v remains excluded as Kraus normalization;five events change premise. Fermionic reduction channel is known mathematics;new result is concrete TFPT source/record/rate connection. Same three values identify neither all100 quantum directions with3D family space nor physical time or initial state.
Read the exact result, assumptions and evidence
Result
C_m²=P_m of rank6,sum P_m=3I10. Phi=(1/3)sum Ad(C_m) is CPTP,unital,HS selfadjoint;population exactly A_Pet/3 without time or filter,Choi rank5 with eigenvalue2^5,superoperator rank100. Correct covariance connects10 and10bar. Actual24 is dGamma(sl5),Phi(dGamma A)=-(2/3)dGamma(A)^T. On End10=1+24+75,Phi²=Pi1+4/9 Pi24+1/9 Pi75,so Phi^6 spectrum1^1,(64/729)^24,(1/729)^75. Actual radial restriction on Petersen shells1,3,6 yields previously transported P. As specified channel,Phi has unique stationary density I10/10.
Required assumptions
- Given five-slot exterior source with retained complement index
V=C5 with given oriented unitary slot basis and volume form,H=Lambda²V. C_m[kl,ij]=epsilon(m,i,j,k,l) are five distinct linear maps to conjugate target;their coherent sum is a different operation. Inner products and CAR grading remain explicit. No physical record,coupling or time iteration assumed from exterior algebra alone.
- Specified Petersen shells and full finite family recursion
v808: ten two-element subsets of five marked slots, disjointness adjacency and radial P=[[0,1,0],[1/3,0,2/3],[0,1/3,2/3]] on H_pi with pi=(1,3,6)/10 and Y=diag(6,-4,1). v486/v487: M=[[1,0,0],[0,1/2,1/6],[0,1/6,1/2]], deck swap Delta of final two slots. v395: given affine E8 adjacency A,T_net=(A+2I)/4 and given 1:6 scheduler. These finite operators are compared without assuming identification with P1 fields,electromagnetic charge or physical time.
- 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
- HODGE-COMPLEMENT-CHANNEL.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- HODGE-COMPLEMENT-CHANNEL.txt lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- HODGE-COMPLEMENT-CHANNEL.txt lines 401–427
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/HODGE-COMPLEMENT-CHANNEL.txt
84b77f104497d6dd0910abb32b7274458f6725ba6e82d9543135b3bfd94dbffe
- hodge_complement_channel.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 201–400
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 401–600
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- hodge_complement_channel.py lines 601–605
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/hodge_complement_channel.py
72b04a5bf8b3bd805568af49dec76bd97926fcff4009a830137e2d318807522b
- result.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/result.json
811d82cbc63efee9551887ba3ddecb70c7330934d322069ae19f10de25025062
- result.json lines 201–329
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/result.json
811d82cbc63efee9551887ba3ddecb70c7330934d322069ae19f10de25025062
- EXTERNAL-PRIMARY-SOURCES.txt lines 1–29
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/hodge_complement_20261028/EXTERNAL-PRIMARY-SOURCES.txt
299cc8c184075b1a4778089644a21f54fe5c6eeb1ee2ddbdfc2ab779ff428671
finding:five-complement-amplitudes-form-full-petersen-quantum-channel