Daniel M. Greenberger
Published 2010-11-16Version 1
The concept of proper time cannot be just taken over from classical theory and applied to quantum theory. There are a number of serious ambiguities related to it. Similarly, the concept of mass has some inconsistencies attached to it. We argue that both of these concepts only make sense if they are included in the theory as dynamical variables, and subsequently as conjugate operators. We discuss the necessary uncertainty principle between them.
Comments: 9 pp. This mss. was prepared for a conference in Sept. 2010 at Oxford to commemorate the 80th birthday of John Polkinghorne. There is also a companion piece, titled "The Disconnect between Quantum Theory and Gravity"
Unsharp measurements and the conceptual problems of Quantum Theory
On the relation between quantum theory and probability
Quantum Quandaries: a Category-Theoretic Perspective
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