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.
Ioan Merches & Maricel Agop
DIFFERENTIABILITY & FRACTALITY IN DYNAMICS OF PHYSICAL SYS [EPUB ebook]
DIFFERENTIABILITY & FRACTALITY IN DYNAMICS OF PHYSICAL SYS [EPUB ebook]
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لغة الإنجليزية ● شكل EPUB ● صفحات 300 ● ISBN 9789814678407 ● حجم الملف 21.6 MB ● الناشر World Scientific Publishing Company ● مدينة Singapore ● بلد SG ● نشرت 2015 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 6524826 ● حماية النسخ Adobe DRM
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