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20230220 at 13:31 #1831
This talk shows that EMfield waves can travel on closed and curved 3dimensional paths and proposes EMpotential and EMflux waves. The new insight developed here could provide a tool box to envision Maxwellian solitons, a possible aid to further the understanding of particles. The talk presents the proof that the simultaneous vector cross product equations { E = u × B; u = (B×E)/∥B∥^2; B= ( E×u)/∥u∥^2} — (1) are a powerful reformulation of the Maxwell equations in vacuum, if u , B and E are functions of time only. The velocity vector u can now describes EMwaves in 1D (radio waves and photons), 2D and 3dimensions (particles). The fundamental nature of (1) is demonstrated by a purely mathematical derivation for ϵ _0 and μ_0, in terms of e and h. Leveraging (1) to describe fluxwaves requires the equivalent expressions for ϵ_f and μ_f, and after deriving these the Planck energy equivalence E=hf emerges from (1). The solutions to (1) set in flux are easily quantifiable; for the 3Dwave the following are identifiable: up/down, spin on two axes, charge polarity, and path closure 2nπ, with n an integer and OAM for photons. The proposed description for particles is congruent to the Bohm ˗de Broglie interpretation of quantum mechanics and a nonlocal hidden variable; this is discussed too.
[See the full post at: Particles as Maxwellian Solitons]


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