Explore cutting-edge experimental approaches in fundamental physics with Peter Graham's lecture from the Prospects in Theoretical Physics series. Delve into new directions for particle physics research beyond the Large Hadron Collider (LHC). Gain insights into innovative experimental techniques, including square root scanning, harmonic oscillators, and quantum spin projection. Examine the principles behind Casper NMR, SQUID technology, and laser interferometry. Analyze four types of experiments and their potential impact on the field. Understand the importance of source and balance considerations in experimental design. Discover how these novel approaches could shape the future of fundamental physics research and potentially lead to groundbreaking discoveries.