The Phenomenologically symmetric geometry of two sets of rank (3,2)

Abstract

A geometry of two sets (GTS) is given on manifolds $\mathfrak{M}$ and $\mathfrak{N}$ by a metric (two-point) function $f:\mathfrak{M\times N}\to R$. Its phenomenological symmetry (PS) means that for some numbers of points from each manifold all the reciprocal distances are tied to some equation. Such simplest geometry on one-dimensional manifolds was discovered by Yu.I. Kulakov when he was analyzing the structure of Newton's 2nd law. In this note the PS G2S of rank (3,2) that springs up in the process of analysis the structure of Ohm's law is precisely defined and analyzed using a new approach.