3 problems

Spectral truncation conjecture. The methods of spectral truncation in noncommutative geometry are likely to provide a way around this limitation.

Let $D=(X+Y)/2$ be the diagonal position operator and let $H$ be a chiral-symmetric Hamiltonian with chiral operator $\Pi$ satisfying $\Pi H\Pi=-H$ and $\Pi D\Pi=D$. Assuming a non…

Wave-packet propagation conjecture. Wave-packets propagating along boundaries between regions of differing spectral localizer index do not lose significant mass whenever the locali…