By basing Bayesian probability theory on five axioms, we can give a trivial proof of Coxâ€™s Theorem on the product rule and sum rule for conditional plausibility without assuming continuity orâ€¦ (More)

I investigate the relationship between physics and mathematics. I argue that physics can shed light on the proper foundations of mathematics, and that the nature of number can constrain the nature ofâ€¦ (More)

Quantum nonlocality may be an artifact of the assumption that observers obey the laws of classical mechanics, while observed systems obey quantum mechanics. I show that, at least in the case ofâ€¦ (More)

Hawking has shown that if black holes were to exist in a universe that expands forever, black holes would completely evaporate, violating unitarity. I argue this means unitarity requires that theâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

2014

Quantum nonlocality is shown to be an artifact of the Copenhagen interpretation, in which each observed quantity has exactly one value at any instant. In reality, all physical systems obey quantumâ€¦ (More)

We give a proof of Cox's Theorem on the product rule and sum rule for conditional plausibility without assuming continuity or differentiablity of plausibility. Instead, we extend the notion ofâ€¦ (More)

BLACK holes are now the subject matter of at least half the papers in general relativity. These papers rest on a foundation of sand, for black holes have been successfully defined only inâ€¦ (More)

Quantum nonlocality is shown to be an artifact of the Copenhagen Interpretation, which assumes that observers obey the laws of classical mechanics, while observed systems obey quantum mechanics.â€¦ (More)

We investigate the problem of defining black holes in closed universes. We do this by first finding all spherically symmetric marginally trapped surfaces in the dust-filled Tolman S universes, andâ€¦ (More)