Twins, Composites, and Dark Relics

 The absence of new physics at the LHC has sparked new developments in BSM phenomenology. In this talk I describe the "neutral naturalness" approach via a first realization as a composite twin Higgs model. I explore different directions for probing this idea - direct collider searches, Higgs and electroweak physics, cosmological and astrophysical probes, while exploring previously unexplored theoretical possibilities in composite Higgs. Finally, I consider new cosmological dynamics involving dark bound states that arise in many BSM models.