BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Valeriy Sbitnev (Berkeley) DTSTART:20230617T140000Z DTEND:20230617T160000Z DTSTAMP:20260423T010943Z UID:QMFNoT/48 DESCRIPTION:Title: Louis de Broglie's double solution theory confirms the wave-particle duali ty principle\nby Valeriy Sbitnev (Berkeley) as part of QM Foundations & Nature of Time seminar\n\n\nAbstract\nLouis de Broglie in the beginning 20th century voices his theory of a double solution\, according to which a pilot wave accompanies a particle\, simulated as a point singularity\, al ong the most optimal path from its creation on a source up to the detectio n. The pilot wave is a real hidden wave\, which is similar to the wave fun ction resulting from the solution of the Schrödinger equation. \nThis the ory is in agreement with de Broglie's postulate about the matter waves.\nI n this article we mention the Helmholtz decomposition theorem according to which any velocity may be represented as a sum of two velocities -- irrot ational and solenoidal ones. The first velocity stems from the gradient of the scalar field. The second occurs from a pseudo-vector field. We procla im that the gradients of the scalar field define guiding paths of the pilo t wave. While the pseudo-vector field defines a particle solenoidal fillin g. \nWe give mathematical models of the irrotational and solenoidal flows simulating the position of a particle in a guiding wave.\nModified Navier- Stokes equation in pair with the continuity equation resulting in the Schr ödinger equation gives such solutions consisting of superposition of the irrotational and solenoidal flow\n LOCATION:https://researchseminars.org/talk/QMFNoT/48/ END:VEVENT END:VCALENDAR