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Step derivative equations of inertial motion in the Classical Mechanics. Conservation Laws.

Research article Created on 18 Oct 2024

Authors

Bojidar Djordjev

Abstract

In the Newtonian Mechanics, any force exerted by body A on B accelerates B, while the acceleration of B creates an equal and opposite force accelerating A back. We can accelerate one body only at the expense of the opposite acceleration of another body. Therefore, we can only exchange acceleration for acceleration, because force only creates acceleration, and acceleration only creates force. With other words, we can equal mathematically, and respectively exchange physical derivatives of the displacement of two bodies only if they are the same (of the same power). But in Classical Mechanics there are formulas that relate force as a function of the product of two velocities instead of the function of acceleration. For example, these are the formulas for the centrifugal force and the gyroscopic torque. If we substitute the two force expressions into Newton’s Third Law, it turns out that we mathematically equate acceleration as function of the product of two velocities. That is, we equate derivatives of the displacement of the two bodies of different degrees (acceleration = function times (speed times speed). We define this dependence as the step derivative equation of inertial motion. If this dependence is not a product of mathematical formalism, but is real physical, inertial, it means that we can exchange real acceleration of one body for real speed of the other. The disproportion in the equations of the step derivatives of inertial motion affects the Laws of Conservation of Angular Momentum and Momentum. The development has been confirmed experimentally.

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  • Bojidar Djordjev Sunday, 27 April 2025 - 13:37 UTC

    This is what reactionless rotation looks like, achieved by exchanging the angular acceleration of the large wheel (the load) for the angular velocity of the flywheel. The video is from 2007, but the well-established laws of Physics have not changed since then.
    https://www.youtube.com/watch?v=yj3yOdqrTw8

  • Bojidar Djordjev Friday, 18 October 2024 - 13:59 UTC

    Under review

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