On the dynamics of a localized charge continuum with structural stability

This talk describes the general dynamics of a charged body assuming it to be a localized continuum instead of a point entity. Moreover, the system satisfies the criteria of perpetual stability instead of typical initial conditions in an electromagnetic problem. A continuum, even if extremely small, possesses many degrees of freedom including deformation and rotation exhibiting dynamics in multiple length- and time-scales. Such internal motion allows complex interplay between velocity and electromagnetic fields. This makes the body violate Newton's first law by inducing natural oscillations with synchronized translation and deformation. At the same time, though, Newton's second law is satisfied, as net momentum from matter and field is conserved combinedly. This realization from pure classical mechanics predicts quantum features like wave-particle duality leading to Planck's and de Broglie's laws as corollaries. Also, the deformation response of the localized continuum to an external force explains its bound states by yielding Schrodinger equation as the governing relation for its perturbative motion. Thus, the theory derived from classical mechanics seems to reproduce quantum phenomenology without any additional postulation.