The Partership for Advanced Computing in Europe (PRACE) awarded 45 Million core-hours to a EPP researchers team lead by J. Vieira to explore ultra-relativistic beam plasma interactions from miniatured plasma based accelerators to extreme astrophysical conditions. This proposal then aims at exploiting our simulation infrastructure to advance knowledge of next-generation plasma based accelerators driven by ultra-relativistic lepton and hadron bunches. This award is critical to address key open challenges of proton driven plasma wakefield acceleration experiments at CERN and for the design of lepton self-modulation experiments at SLAC. Another key aim of this award is to explore new plasma physics phenomena relevant for astrophysics and to investigate novel configurations allowing to mimic extreme astrophysical conditions in the laboratory.