Reality in a Few Thermodynamic Reference Frames: Statistical Thermodynamics from Boltzmann via Gibbs to Einstein

EasyChair Preprint 3441

Abstract

The success of a few theories in statistical thermodynamics can be correlated with their selectivity to reality. These are the theories of Boltzmann, Gibbs, end Einstein.
The starting point is Carnot’s theory, which defines implicitly the general selection of reality relevant to thermodynamics. The three other theories share this selection, but specify it further in detail. Each of them separates a few main aspects within the scope of the implicit thermodynamic reality. Their success grounds on that selection. Those aspects can be represented by corresponding oppositions. These are: macroscopic – microscopic; elements – states; relational – non-relational; and observable – theoretical. They can be interpreted as axes of independent qualities constituting a common qualitative reference frame shared by those theories. Each of them can be situated in this reference frame occupying a different place. This reference frame can be interpreted as an additional selection of reality within Carnot’s initial selection describable as macroscopic and both observable and theoretical. The deduced reference frame refers implicitly to many scientific theories independent of their subject therefore defining a general and common space or subspace for scientific theories (not for all).
The immediate conclusion is: The examples of a few statistical thermodynamic theories demonstrate that the concept of “reality” is changed or generalized, or even exemplified (i.e. “de-generalized”) from a theory to another.

Keyphrases: Boltzmann, Carnot, Einstein, Gibbs, elements and system, parts and whole, phenomenological thermpdynamics, statistical thermodynamics

@booklet{EasyChair:3441,
  author    = {Vasil Penchev},
  title     = {Reality in a Few Thermodynamic Reference Frames: Statistical Thermodynamics from Boltzmann via Gibbs to Einstein},
  howpublished = {EasyChair Preprint 3441},
  year      = {EasyChair, 2020}}