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5 The Wave Equation and the Third Axiom
Fig. 5.2 Third Axiom’s mode of operation. Only the geometrical centres of inertia are accounted
for in the Newtonian equations. These are not identical to physical particle locations. It is therefore
impossible to state exactly how many physical particles are involved in motion. The Newtonian
equations are equally valid for the illustrated small, round particles (small letters) and for the
illustrated large, quadratic objects (capital letters). The total of the ‘small particles’ has to have the
same mass and the same centre of inertia as the ‘large particles’ in the marked areas G 1 , G 2 , . . .
The earlier postulated Eq. (53) now have to be a result of Eq. (56). The reaction axiom
for the forces F B A , the second of Eq. (53), is now a direct result of the reaction axiom
for the forces f ba . Summing up Eq. (55), one finds under repeated application of the
Third Newtonian Axiom that the above postulated Newtonian equation (53) for the
motion of the centres of inertia X A are valid. Even though this fact is well known,