Astrophysical neutrinos are excellent probes of astroparticle physics and high-energy physics. With energies far beyond solar, supernovae, atmospheric, and accelerator neutrinos, high-energy and ultrahigh-energy neutrinos probe fundamental physics from the TeV scale to the EeV scale and beyond. They are sensitive to physics both within and beyond the Standard Model through their production mechanisms and in their propagation over cosmological distances. They carry unique information about their extreme non-thermal sources by giving insight into regions that are opaque to electromagnetic radiation. This white paper describes the opportunities astrophysical neutrino observations offer for astrophysics and high-energy physics, today and in coming years.Fully opening the HE and UHE neutrino windows requires a multi-pronged approach that explores a broad range of proposed experimental techniques. With upcoming neutrino telescopes, the goal is to improve the sensitivity ten-fold in the HE range and hundred-fold in the UHE range. In the HE range, we are moving into the high-statistics era, where subtle features may be resolved and multiple sources may be discovered. In the UHE range, neutrino flux predictions and physics tests are well-motivated, but we will likely need new techniques to enable discoveries. The ongoing efforts to develop new instruments will improve sensitivity, increase statistics, and expand the energy range. A broad range of experimental approaches, with complementary capabilities, must be developed and tested in the coming decades. Because it is not clear which techniques will prevail, we advocate for a broad portfolio of experiments in the HE and UHE neutrino sector. Owing to their potential, HE and UHE neutrinos should be at the forefront of the high-energy physics program, as they push the boundaries for the neutrino, cosmic, energy, theory, and instrumentation frontiers. 4 Experimental landscape 32 4.1 Overview 32 4.2 High-energy range 35 4.3 Ultra-High Energy Range (> 100-PeV) 45