Abstract
Reality is always simultaneously analog and digital. This is best understood by using an established branch of mathematics, adelic mathematics, which requires any object or phenomenon to always be understood using both real mathematics (analog) and a specific form of discrete mathematics (digital mathematics) called p-adic mathematics. The author has reviewed theories of physics that use adelic mathematics and focuses on one, topological geometrodynamics, that creates a rich theory of particle physics, cosmology, biophysics, and cognition. This paper explains why a purely mathematical argument leads to the use of adelic mathematics, discusses this in the context of epistemology and cognitive science, then shows how topological geometrodynamics applies adelic mathematic to a reconfigured model of space and time.
Robert Paster