{"product_id":"differentiability-and-fractality-in-dynamics-of-physical-systems","title":"Differentiability And Fractality In Dynamics Of Physical Systems","description":"Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed.The wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits.Analysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed.","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":54234804650328,"sku":"9789814678384","price":122.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9789814678384_f47e7ca9-74a7-4c09-be62-fb5fcb89a42a.jpg?v=1777257956","url":"https:\/\/agendabookshop.com\/products\/differentiability-and-fractality-in-dynamics-of-physical-systems","provider":"Agenda Bookshop","version":"1.0","type":"link"}