Thesiss

A renormalization analysis is presented for a generalized Harper equation (1 + α cos(2π(ω(i + 1/2) + φ)))ψi+1 + (1 + α cos(2π(ω(i − 1/2) + φ)))ψi−1 +2λ cos(2π(iω + φ))ψi = Eψi. (0.1) For values of the parameter ω having periodic continued-fraction expansion, we construct the per…

Philosophers traditionally engage with metaphysical questions at the frontiers of physics by treating theories as putatively fundamental and complete. While this interpretative strategy sits uneasily with the limited success of past theories, it breaks down with the failure of o…