Notes toward a Newtonian thermodynamics

Jack Morava

Notes toward a Newtonian thermodynamics

Probability 2023-04-04 v1 Algebraic Topology

Authors: Jack Morava

Abstract

We interpret the moment generating function ${\bf E}(e^{tX}):= {\rm exp}_F(t) \in {\bf R}[[t]]$ of a random variable $X$ as the exponential of an associated one-dimensional formal group law $F$ defined over ${\bf R}$ .

Cite

@article{arxiv.2304.00384,
  title  = {Notes toward a Newtonian thermodynamics},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2304.00384},
  year   = {2023}
}

Comments

The cumulant generating functions of statistical mechanics are closely related to Gibbs free energy in thermodynamics, and in turn to classical symmetric and partition functions, and through them to formal groups and the characteristic classes of VL Ginsburg's (pre-quantized) symplectic manifolds

Notes toward a Newtonian thermodynamics

Abstract

Cite

Comments

Related papers