|Book Name:||Causality, Measurement Theory and the Differentiable Structure of Space-Time|
Causality, Measurement Theory and the Differentiable Structure of Space-Time
This book introduces graduate students and researchers to mathematical physics, focusing on two recent developments: the demonstration that causality can be defined on discrete space-times and Sewell’s measurement theory, which reduces the wave packet without relying on the observer’s conscious ego, nonlinearities, or interaction with the rest of the universe. The definition of causality in 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 differential calculus is a discovery or an invention. Providing a mathematical discourse on the relationship between theoretical and experimental physics, the book gives detailed accounts of the mathematically challenging measurement theories of von Neumann and Sewell.
Causality, Measurement Theory and the Differentiable Structure of Space-Time PDF
Author(s): R. N. Sen
Series: Cambridge Monographs on Mathematical Physics
Publisher: CUP, Year: 2010