Derivation of Classical Mechanics in an Energetic Framework via Conservation and Relativity

摘要: The concepts of conservation and relativity lie at the heart classical mechanics. In hands Descartes, Galileo, Huygens, these led to early results which were critical its development. However, over following two centuries, their perceived importance struc- ture mechanics underwent considerable change. view this complex historical development, what extent do determine structure mechanics? paper, we address question by deriving mechanics—both nonrelativistic relativistic—using as primary guiding principles. derivation proceeds in three distinct steps. First, are used derive asymptotically conserved quantities motion. Second, order that energy momentum be continuously conserved, mechanical system is embedded a larger energetic framework containing massless component capable bearing (as well relativistic case). Imposition then results, case, mass frame-invariance energy; and, rules for transforming between frames. Third, force handling continu- ously interacting particles established, wherein Newton’s second law derived on basis staccato model motion-change. Finally, light derivation, elucidate classifying principles assumptions have been employed according explanatory role, distinguishing symmetry other types (such compositional principles) needed build up theoretical edifice.