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myPhysmatics: Connected Mathematical Models in Physics

Classical Physics 2025-09-23 v1 Mathematical Physics math.MP

Abstract

This book is devoted to an informal discussion of patterns constructed for treating physical problems. Such patterns, when sufficiently formalized, are usually referred as "models", and tents to be applied not only in physics, but conquer the fields traditionally occupied by other disciplines generally considered to be different from physics. The author calls this unification of seemingly disjoint results a "physmatical effect" - pointing to the fact that multitudes of fine - grained physics-based mathematical models become inextricably linked and networked. Mathematics serves as a key code gluing together isolated physical models viewed as nodes of this network.

Keywords

Cite

@article{arxiv.2509.16269,
  title  = {myPhysmatics: Connected Mathematical Models in Physics},
  author = {Sergej Pankratow},
  journal= {arXiv preprint arXiv:2509.16269},
  year   = {2025}
}

Comments

This manuscript as a previous one was submitted by his wife Tatjana Znamenski, after S. Pankratow passed away. It was his wish to submit it and I was technically fulfilling this wish. However I could also add myself as a co -author if the system demands since I was helping my husband to pull the text together as many of his colleagues could confirm

R2 v1 2026-07-01T05:46:25.240Z