BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Anton Vrba DTSTART:20230225T150000Z DTEND:20230225T170000Z DTSTAMP:20260423T011101Z UID:QMFNoT/44 DESCRIPTION:Title: Particles as Maxwellian Solitons\nby Anton Vrba as part of QM Foundati ons & Nature of Time seminar\n\n\nAbstract\nIn unstressed vacuum EM travel ing plane waves propagate on a linear path. Question: Can an electromagnet ic wave travel on a closed and curved 3-dimensional path\, say a spherical -like path\, and how to formulate such a paths without using superposition ing? Furthermore\, the Maxwell equations are field (flux per area) equatio ns which begs the second question: Are there equivalent potential (flux pe r distance) and flux equations to model EM-potential and EM-flux waves? Th is presentation answers both questions in the affirmative from a purely ma thematical point of view. The new insight developed here could provide a t ool box to envision Maxwellian solitons\, a possible aid\, and supportive view\, to further the understanding of particles.\n \nThe Maxwell equation and the derived d'Alembert wave equation cannot provide the answers to th e above questions. We require a velocity vector in the Maxwell formulation s. The talk presents the proof that the simultaneous vector crossproduct e quations\n{ E = u × B\; u = (B×E)/∥B∥^2\; B= ( E×u)/∥u∥^2} --- (1)\nare a powerful reformulation of the Maxwell equations in vacuum\, if u \, B and E are functions of time only\, therefore (1) also describes EM- waves in 1D (radio waves and photons)\, 2D and 3-dimensions (particles). The figure sketches a three dimensional wave\, here we note that E is alwa ys radiant and B and u tangential.\n\nOn the premise that equation set (1) also describes wave action (here electric action) it must follow that a p urely mathematical derivation for ϵ _0 and μ_0\, in terms of e and h\, s hould emerges from (1)\, indeed it is so and is demonstrated. Leveraging ( 1) to describe flux-waves requires the equivalent expressions for ϵ_f and μ_f\, and after deriving these the Planck energy equivalence E=hf emerg es from (1). The solutions to (1) set in flux are easily quantifiable\; fo r the 3D-wave the following are identifiable: up/down\, spin on two axes\, charge polarity\, and path closure 2nπ\, with n an integer. The propos ed description for particles is congruent to the Bohm˗de Broglie interpre tation of quantum mechanics and a nonlocal hidden variable\; this is discu ssed too.\n\nPapers: Maxwell and Solitons: https://neophysics.org/p/1673 & Nonlocal Hidden Variables: https://neophysics.org/p/1805\n LOCATION:https://researchseminars.org/talk/QMFNoT/44/ END:VEVENT END:VCALENDAR