Abstract

Starting with the Descartes' cogito, "I think, therefore I am"--and taking an uncompromisingly rational, rigorously phenomenological approach--I attempt to derive the basic principles of recursion theory (the backbone of all mathematics and logic), and from that the principles of feedback control theory (the backbone of all biology), leading to the basic ideas of quantum mechanics (the backbone of all physics). What is derived is not the full quantum theory, but a basic framework--derived from a priori principles along with common everyday experience--of how the universe of everyday experience should work if it operates according to rational principles. We find, to our surprise, that the resulting system has all the most puzzling features of quantum physics that make physicists scratch their heads. Far from being "bizarre" and "weird", as is usually thought, the strangest paradoxes of quantum theory turn out to be just what one ought to expect of a rational universe. It is the classical, pre-quantum universe of the nineteenth century that has irrational, mystical components. The quantum-mechanics-like theory that is developed is, furthermore, most compatible with the strictest, most uncompromisingly rationalist of the standard interpretations of quantum mechanics, those which add no ad hoc elements to the theory, and which generally trace their history to the relative state formulation of Everett (also called the "many worlds" interpretation). These interpretations take the universe to be quite literally describable as a quantum wavefunction. As with any project this far-reaching in scope, I confess I have had to make some working assumptions along the way. I have attempted to isolate these, and clearly label them as points of possible future revision--they are marked in the text with an asterisk (*).