John Wheeler advocated a radically conservative approach to physics: Insist on adhering to well-established physical laws (be conservative), but follow those laws into their most extreme domains (be radical), where unexpected insights into nature might be found. Our most well-established laws of physics today are encapsulated by quantum theory and general relativity. Taking an information-theoretic approach, my research pushes these theories to their extremes, into an arena in which they must confront one another, in the hopes of uncovering new insights into nature.