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Abstract

This is a novel conceptual attempt to introduce freedom as a consistent physical notion. The present consideration is limited to mechanics of a material point. Adapted to physical representation, freedom is tested throughout the paper to conform to its general perception. It is first tried on such physical notions (but not restricted to) as potency of a set, Lagrangian, action, degrees of freedom. Defined as angular and essentially nonlinear variable, it appears to be dual as that the domain affords and that the material point possesses within the domain, not necessarily equal to one another. Freedom has to degrade if its bearer experiences an external impact. The two classical problems of Newtonian and relativistic mechanics illustrate the freedom non-linear dynamics whose key factors are the impact power and duration as well as total mechanical energy of the material point. Reversibility of freedom is discussed. Hints to possible relations with quantum mechanics and commonly used numerical techniques as well as to advanced mathematical modeling are proposed.

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Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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