Operationalization of Basic Observables in Mechanics

Abstract

This novel approach to the foundation of the physical theory begins with Hermann von Helmholtz fundamental analysis of basic measurements. We explain the mathematical formalism from the operationalization of basic observables. According to Leibniz resp. Galilei we define energy, momentum and mass from the elemental comparison "more capability to work than" (against same test system) and "more impact than" (in a collision) and develop Helmholtz program for direct quantification. From vivid pre-theoretic (principle of inertia, impossibility of perpetuum mobile, relativity principle) and measurement methodical principles we derive the fundamental equations of mechanics.