This lecture explores the hierarchy problem in particle physics, discussing the significance of the weak scale triggers and the search for new physics beyond the Standard Model. Topics include the Higgs boson discovery, the role of gauge singlet operators, and the implications of varying squared masses in the SM. The speaker presents a simple BSM trigger related to the Z4 symmetry and a detailed analysis of the Type-0 2HDM phenomenology. The lecture also delves into domain walls, perturbative crunch scenarios, and ultralight WIMP miracles, offering insights into potential dark matter candidates and inflationary models.