Physics of systems with motivation as an interdisciplinary branch of science

TL;DR

This paper explores the fundamental differences between natural and social systems, emphasizing the development of mathematical models for social systems with motion to unify natural and social sciences.

Contribution

It introduces new notions and approaches for mathematically describing social systems, focusing on systems with motion as a key example.

Findings

Distinct characteristics of natural and social systems identified

Mathematical frameworks for social systems with motion proposed

Bridging natural and social sciences through unified models

Abstract

The paper discusses the fundamental characteristics distinguishing the natural and social systems from each other. It considers in detail the basic approaches, prospects, and possibilities of constructing mathematical description for social systems as well as develops the appropriate notions required to do this. The main attention is focused on systems with motion treated as a characteristic example of social systems where the development of mathematical description should demonstrate the crucial ideas of fusing natural and social sciences.