Conditional result
E8 Hodge event is perfectly distinguishable from every unitary evolution
In the question: Automated construction of operator maps and sources
Finite given carrier and dual output, original C_m and R086 global trace preservation; no physical source theorem or exclusion of other branches, registers, memory or a finite event. The universal conclusion uses an analytic convex separation argument, not finite sampling.
Read the exact result, assumptions and evidence
Result
On given ten-dimensional H=Lambda²C5, every nonzero C(z)=sum z_m C_m has six singular values ||z|| and four zero singular values. Convex separation yields, for every U:H→H*, a density matrix rho with Tr(rho U*C_m)=0 for every m; a normalized purification perfectly distinguishes Phi from Ad_U. Hence ||Phi−Ad_U||_diamond=2 for every unitary identification. An original basis input distinguishes one explicit unitary completion of C0 even without reference. With R086, a globally TP operation using only epsilon-span Kraus amplitudes therefore cannot have a continuous unitary start for all sufficiently small times. E_t=exp[tλ(Psi−id)] with Psi=Ad_U* o Phi gives a mathematical CPTP Poisson embedding. Every finite t requires a Kraus amplitude outside the strict span; λ and U are additional choices.
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 evidence
- HODGE-TIME-IDENTITY-TEST-20261102.txt lines 1–151
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/admissible_pair_20261028/HODGE-TIME-IDENTITY-TEST-20261102.txt
8e6ee0625b6b38800b7a63d0bec9d7b0b54cbcc2de202e786f5648f7eab5ef00
finding:e8-hodge-event-perfectly-distinguishable-from-every-unitary