System representation of physical quantities: visualization of dimensional relations of physical laws

Abstract

The principle of the geometrical-dimensional representation of physical quantities in system SI dimensions in the form of separate system cells on the LT-dimensional basis is described. Depending on the ratio of dimensions of quantities in SI and LT representations, the physical quantities are combined into separate clusters, which form the multilevel content of most system cells. The physical quantities of each cluster have nearest dimensional relations through, length, time, and velocity. The distant dimensional relations of physical quantities expressing physical regularities (without participation of numerical coefficients) have the form of selected parallelograms or selected lines (when a parallelogram looks as if in profile). The additional coefficients of cluster groups cancel each other, and the products of dimensions of physical quantities located on opposite sides of the selected parallelogram are equal to each other. This allows us not only to illustrate the known regularities, but also to discover new ones. In different  variants of the system representation of physical quantities certain properties and peculiarities in the arrangement of quantized and constant physical quantities are observed.