The frontier of beam physics and accelerator science is advanced via developments in material and microwave superconductivity, integrable and near-integrable nonlinear dynamics, advanced phase-space control techniques, and various novel concepts of plasmas, materials, lasers and quantum optics. We will touch upon some of the emerging ideas of “quantum-degenerate” particle and light beams, nonlinear integrable dissipative systems, laboratory-based free-electron lasers and single-electron quantum optics for various photon science, atomic, molecular and astro-particle physics “laboratory-based” experiments. These will be contrasted with the current conception of “large-scale” potential future particle colliders and high intensity proton accelerators for exploring the subatomic world beyond our current state of understanding.