Inferential Scattering
نویسنده
چکیده
Some di cult conceptual problems that have plagued Statistical Mechanics from the start, are explained by reference to a very simple experiment, which also explains why the MAXENT formalism gives reliable predictions. Then some of the inner workings of MAXENT are revealed by a general perturbation theorem, showing how a prediction is modi ed by adding a new constraint. It is illustrated by the example of Rayleigh scattering in acoustics. Here it appears rather like Schwinger's Source Theory in that multiple scattered waves of arbitrarily high order appear already in the rst order of the MAXENT perturbation scheme. The result holds in much more general problems of \inferential scattering" in which any statistical inference is modi ed by new information. 1. HISTORICAL BACKGROUND 2 2. INFERENTIAL SCATTERING 2 3. GENERALIZED FIRST LAW 4 4. THE BASIC DILEMMA 5
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