Abstract
In the collapse of large stars matter is formed at supranuclear densities. At a density ρ ∼ 3ρ0, where ρ0 is the nuclear matter density, K‐mesons replace electrons, and go into a Bose condensate. This soft equation of state gives a maximum mass for neutron stars of ∼1.5 M. It is argued that the last nearby supernova, SN 1987A, went into a black hole. A new scenario of binary neutron star evolution is developed which results in the two masses in a given binary being nearly equal and all neutron star masses lying in a narrow band 1.3 M < MNS < 1.5 M.