This book is a unique summary of the results of a long research
project undertaken by the authors on discreteness in modern
physics. In contrast with the usual expectation that discreteness
is the result of mathematical tools for insertion into a continuous
theory, this more basic treatment builds up the world from the
discrimination of discrete entities. This gives an algebraic
structure in which certain fixed numbers arise. As such, one agrees
with the measured value of the fine-structure constant to one part
in 10,000,000 (107).
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