Book/Combinatorial Physics
Bastin, Ted; Kilmister, C. W. (1995). Combinatorial Physics. local page: World Scientific. ISBN 981-02-2212-2.
Preface
Introduction and Summary of Chapters
The book is an essay in the foundations of physics; it presents a combinatorial approach; ideas of process fit with a combinatorial approach; quantum physics is naturally combinatorial and high energy physics is evidently concerned with process. Definition of 'combinatorial'; the history of the concept takes us back to the bifurcation in thinking at the time of Newton and Leibniz; combinatorial models and computing methods closely related.
Space
Theory-language defined to make explicit the dependence of modern physics on Newtonian concepts, and to make it possible to discuss limits to their validity; Leibniz' relational, as opposed to absolute, space discussed; the combinatorial aspect of the monads.
Complementarity and All That
Bohr's attemp to save the quantum theory by deducing the wave-particle duality, and thence the formal structure of the theory, from a more general principle (complementarity) examined: the view of complementarity as a philosophical gloss on a theory which stands up in its own right shown to misrepresent Bohr: Bohr's argument rejected -- leaving the quantum theory still incimprehensible.
The Simple Case for a Combinatorial Physics
Physics not scale-invariant; it depends on some numbers which come from somewhere outside to provide abolute scales; the classical kind of measurement cannot in the nature of the case provide them; measurement is counting' the coupling constants are the prima-facie candidates; this was Eddington's conjecture; the question is not whether we find combinatorial values for these constants, but how we do so; current physics puts the values in ad hoc.
A Hierarchical Mdoel - Some Introductory Arguments
A Hierarchical Combinatorial Model - Full Treatment
Scattering and Coupling Costants
Quantum Numbers and the Particle
Toward the Continuum
Stability and Stabilization
Objectivity and Subjectivity - Some 'isms'.
The philosophical position of the book is assessed to see how it fits with some familiar positions -- mostly ending in "ism': subjectivism; realism; the anthropic principle; constructivism; reductionism; the critical philosophy; positivism; operatinalism; particles.
References
Name Index
Subject Index
References