Introducing graduate students and researchers to mathematical
physics, this book discusses two recent developments: the
demonstration that causality can be defined on discrete
space-times; and Sewell's measurement theory, in which the wave
packet is reduced without recourse to the observer's conscious ego,
nonlinearities or interaction with the rest of the universe. The
definition of causality on a discrete space-time assumes that
space-time is made up of geometrical points. Using Sewell's
measurement theory, the author concludes that the notion of
geometrical points is as meaningful in quantum mechanics as it is
in classical mechanics, and that it is impossible to tell whether
the differential calculus is a discovery or an invention. Providing
a mathematical discourse on the relation between theoretical and
experimental physics, the book gives detailed accounts of the
mathematically difficult measurement theories of von Neumann and
Sewell.
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