The European Spallation Source (ESS) offers an opportunity for a fundamental physics program with a unique reach which is complementary to that at other facilities. In this talk, the HIBEAM project is described. The HIBEAM collaboration has proposed a suite of searches and measurements which would use the Large ESS Beam Port with a high cold neutron flux. The program includes searches for conversions of free neutrons to antineutrons and to mirror neutrons with regeneration, as well as precision measurements of parity violation in nucleon-nucleon interactions. The high cold neutron intensity at HIBEAM would provide a higher sensitivity for the searches and measurements than was achieved at earlier experiments. The physics program addresses some of the central unresolved questions in particle physics and cosmology such as the energy scale and mechanism for baryon number violation, the origin of the baryon-antibaryon asymmetry of the universe, the composition of dark matter, and the mechanism for neutrino mass generation. HIBEAM would take data following ESS commissioning in the mid- to late 2020s. HIBEAM will also serve to prototype technologies towards enhancing the sensitivity of HIBEAM's search program by several orders of magnitude.