Statistical Geometry and Applications to Microphysics and Cosmology

Late-1990s results from high-energy scattering and theoretical developments of string theory urge a change in the understanding of the basic structure of space-time. This text is concerned with the advancement of ideas on the stochastic nature of space-time from the 1930s onward. In particular, the author promotes the concept of space as a set of hazy lumps, first introduced by Karl Menger, and constructs a novel framework for statistical behaviour at the microlevel. The various chapters address topics such as space-time fluctuation and random potential, non-local fields, and the origin of stochasticity. Implications in astro-particle physics and cosmology are also explored. The book should be of interest to physicists, chemists and mathematicians involved in particle physics, astrophysics and cosmology.