Same first readout. Different retained directions.
Prepare the face center or the opposite vertex. Interface AB reads zero for both. Can a second interface tell them apart?
Changing retention starts a fresh trial. Discarded information is never reconstructed from the first output alone.
Prepared direction — reference view
Gold: face center ABC · Pink: opposite vertex D
White ring: current preparation. Dashed line: the first interface’s invisible normal direction.
This view shows the preparation even when the observer discards it. It is not an extra input to the second readout. Drag to rotate; scroll to zoom.
What the observer can use
1 · First interface: AB, on face ABC
Record passed downstream
Reconstruction from the two readouts
What this experiment establishes
The matrices are generated from the source’s twelve triangle frames. For each frame, v = X(1,ω,ω²), with ω = (−1+√−3)/2. The aligned reversed-cycle readout is A = v vᵀ/(v* v). Both interfaces read the same retained real vector.
Two interfaces on different faces reconstruct that vector. Two on the same face retain a common invisible normal. Reading the first output with another projector is a different operation: it cannot recover information already discarded.
When the direction is discarded, this page shows that sequential operation separately. It does not present it as a second measurement of the original direction.
All twelve interfaces come from the existing coefficient construction. This page models access to a retained input, not measurement disturbance or a time-evolution law.