Variable real numbers for quantum particles; an application of topos theory to quantum mechanics

John Corbett – 14 October 2009

Certain apparently paradoxical features of the standard theory of quantum mechanics: e.g., two slit experiment, non-locality in tests of Bell's theorem, are resolved by using the object of Dedekind real numbers in a spatial topos of sheaves on a quantum state space for the numerical values that physical quantities can take. In this talk, the quantum theory of Galilean relativistic particles of positive mass is discussed.