Varying fundamental constants?: Observational status and future prospects Michael Murphy Swinburne University of Technology Variations in the fundamental constants would directly violate the Standard Model of particle physics and Einstein's equivalence principle. Some modern unified theories actually predict variations in the (low-energy) values of the constants, linking them to changes in the typical sizes of extra, compactified dimensions of space. Many dedicated laboratory and satellite experiments currently test for variations over human timescales but it is essential to probe a much larger range of times and distances. Remarkably, absorption systems along the sight-lines to distant quasars offer our most precise extragalactic probe of variations in the fine-structure constant and the proton-to-electron mass ratio. I will discuss the current evidence for and against variations in both these fundamental parameters. I will also describe the potential of newly proposed spectrographs on current and future telescopes for constraining fundamental physics at high redshifts at a precision competitive with advances in laboratory experiments. Calibrating these spectrographs poses a particular challenge and I will outline our proposal for doing so with new laser frequency comb technology.