  We consider the time-dependent Schr\"odinger equation that is generated on
the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive
the first bound on the maximal speed of particle transport in these systems
that is thermodynamically stable and holds all the way down to microscopic
length scales. For this, we develop a novel multiscale rendition of the ASTLO
(adiabatic spacetime localization observables) method. Our result opens the
door to deriving the first thermodynamically stable Lieb-Robinson bounds on
general local operators for these long-range interacting bosonic systems.
