From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold

Starting from the two-slit experiment we show that the so-called particle–wave duality could be resolved amicably by assuming space–time to be a fuzzy K3 manifold akin to that of E-Infinity theory. Subsequently, we show how many of the fundamental constants of nature such as the electromagnetic fine structure as well as the quantum gravity coupling may be deduced from the topology and geometry of the space–time manifold.