Authors: Hervé Le Cornec
The first postulate of the classical mechanics, stating that the position and the time are independent, is demonstrated as false, and replaced by a theorem stating that the position and the time are always related by a bijection, accordingly to the experiment. Introducing this theorem instead of the first postulate inside the calculus of variation, provides new equations of motion, close to those of Lagrange, but giving more information on the allowed trajectories. The velocity of a classical mobile appears as the addition of one or many of only two elementary uniform velocities, of rotation and translation, in a typical Fourier series fashion. The addition of a single elementary rotation and a single elementary translation, leads to the Keplerian motion, as expected. This approach can be used for any physical parameter, an illustration is given by the forecast of the Boltzmann’s entropy, the ideal gas law and the equations driving the chemical kinetics.
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