A new initiative is presented to develop a high intensity muon/pion beam with a time structure optimized to the muon lifetime. Such a facility would provide exciting physics opportunities for dramatically improved fundamental experiments, e.g., in the field of muon capture, muon lifetime and muonium spectroscopy. The high primary beam intensity at PSI allows intense chopped muon beams by installing a fast electrostatic kicker in a secondary channel. Two modes of operation are foreseen: a muon-on-request scheme, which uses active feedback from a beam counter in the experimental area and a periodic pulsed mode with about 5–20% duty factor.