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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2023

Conservation of mass-momentum-energy versus conservation of acceleration

Résumé

The conservation laws of mass, momentum and energy of classical mechanics are replaced by the conservation of acceleration alone, one energy per unit of mass and per unit of length. The concept of conservation of momentum is discussed when the motion is accelerated. This notion, often presented as a principle when phenomena are stationary, ignores the wave-like character of wave propagation for time-dependent motions. As this is a wave equation, it is naturally relativistic. The discrete formulation enables accelerated and non-accelerated phenomena to be approached with continuity, whatever the celerity of the media, as a physical homology. A simple example compares the concept of momentum in classical mechanics with that of discrete mechanics.
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hal-04148140 , version 1 (02-07-2023)

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  • HAL Id : hal-04148140 , version 1

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Jean-Paul Caltagirone. Conservation of mass-momentum-energy versus conservation of acceleration. 2023. ⟨hal-04148140⟩
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