Re: Statistical mechanics without probability

Arnold Neumaier schrieb:
I'd like to ask for feedback on my paper
''On the foundations of thermodynamics'', available from
http://www.mat.univie.ac.at/~neum/papers/physpapers.html#eq

The wrong path to the ps and pdf files has been corrected.


If you ever had misgivings about the treatment of thermodynamics
or statistical mechanics, this is a new chance to learn the
subject from a novel perspective.

On the basis of new, concise foundations, this paper establishes
the four laws of thermodynamics, the Maxwell relations, and the
stability requirements for response functions, in a form applicable to
global (homogeneous), local (hydrodynamic) and microlocal (kinetic)
equilibrium. From a few basic assumptions, the full structure of
phenomenological thermodynamics and of classical and quantum
statistical mechanics is recovered.

Care has been taken to keep the foundations free of subjective aspects
(which traditionally creep in through information or probability).
One might describe the paper as a uniform treatment of the nondynamical
part of classical and quantum statistical mechanics
``without statistics'' (i.e., suitable for the definite descriptions
of single objects) and
``without mechanics'' (i.e., independent of microscopic assumptions).

Arnold Neumaier


.

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