Convergence 6: First dispersive phononic time crystals (band folding, subharmonic amplification)

Michael Darius Eastwood · Independent AI alignment researcher

Published 3 July 2026

What happened

First dispersive phononic time crystals (band folding, subharmonic amplification).

Why it is in the register

This is one of the two rows classed as prediction rather than convergence, and the dates are the reason. The programme's acoustic time crystal test code, committed in March 2026, modelled parametrically driven acoustic systems and predicted saturating scaling of the subharmonic order parameter under bounded composition. In June 2026, Wu and colleagues published the first experimental dispersive phononic time crystals in Nature Communications, with band folding and subharmonic amplification: the system class the code had modelled three months earlier.

The honest caveat

The prediction is narrow and the gap is short, so the row is graded moderate. It is retained because the code is timestamped in version control and the paper is unambiguous.

How to check this entry

Open the primary source above. Confirm the date. Confirm the finding. Then compare it against the manuscript passage or artifact named in the register entry, whose SHA-256 hash is published on the evidence page. Nothing in this article asks for trust; the entry either survives that comparison or it comes off the register, publicly, the way the programme's retracted scaling figure did.