Formal Mathematical Derivations for Autodynamics

As with many powerful yet elegant theories, the derivation is often the most powerful argument for the theory itself. Such is the case with Autodynamics. Although it is impossible to discuss the background necessary to adequately set up the AD derivation in this small article, the math is quite simple and elegant.

The Derivations Galilean Simplification Carezani examines two parallel frames of coordinates x, y, z, t and x', y', z', t'. Frame F is moving with relative velocity v with respect to frame F '. He uses the Galilean transformation. Frames Derivation Discussing in detail the Galilean coordinate transformation principle and comparing it with the Lorentz-Einstein transformation of frames in relative motion, the author of AD demonstrated that it is possible to simplify the Lorentz equations by recognizing that one of the two coordinate systems used by Lorentz and Einstein were superfluous. Other Frame Stuff Lorentz Math Right, Physically Wrong Although mathematically correct, Lorentz's equations make no physical sense. See the Carezani explanation inspired by his conversations with Herman Leonard, one of the great portrait photographers of our times. Systems in Relative Motion An issue that confounds new students of AD is the velocity SUM equation, because of their entrenched SR mind set. They firmly believe the SR thesis regarding "systems in relative motion."