--------------------------------------------------------------------------- `Big Bangs and Black Holes: Connecting Fundamental Physics and Observational Astrophysics' Abstract: Although theoretical concepts of black holes date back over 200 years, they remained in the realms of mathematical speculation until the late 20th century. Today, the existence of black holes - stellar and supermassive - is no longer debated; instead, the physics of their creation and the far-reaching consequences of their existence remain at the forefront of modern astronomy. Optical light, to which human eyes are most sensitive, has been harvested throughout human history, enriching ancient cultures and helping our forebears realise that the Earth does not lie at the centre of the Universe. However, this light represents only a small fraction of the total light available for collection; technological advances in the 20th and 21st centuries have ensured that we can collect light ranging from the highest energy gamma rays, through X-rays to long wavelength radio waves; perhaps more importantly, the information gathered from astronomical images can be augmented with techniques such as spectroscopy and polarimetry, which allow the motions of stars and gas in distant galaxies to be measured or magnetic fields in distant stellar explosions to be probed. Although black holes themselves do not emit radiation, experimental confirmation of their existence resulted from such impressive technical advances. This lecture will introduce some of the most powerful phenomena in the Universe that are driven by black holes, big and small - Active Galactic Nuclei and Gamma Ray Bursts. These two classes of objects may share many physical processes but change their observed properties on vastly different timescales (millions of years, minutes, seconds); I will compare and contrast our current understanding of them, gained by combining multi- wavelength, multi-epoch imaging with spectroscopy and polarimetry to decode the information in the detected light. With a growing understanding of these phenomena, I will show that increasingly rich astronomical datasets may be mined to provide independent constraints on theories of gravity, such as string phenomenology and quantum gravity. ---------------------------------------------------------------------------