BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marek Danielewski (AGH University of Science and Technology) DTSTART:20230709T170000Z DTEND:20230709T180000Z DTSTAMP:20260409T233410Z UID:HCS2023/8 DESCRIPTION:Title: Quaternion Quantum Mechanics II: Unraveling the Mysteries of Gravity and t he Dirac Equation within the Planck-Kleinert Crystal\nby Marek Daniele wski (AGH University of Science and Technology) as part of Hypercomplex Se minar 2023\n\n\nAbstract\nWe present quaternion representation of quantum mechanics that allows its ontological\ninterpretation. The correspondence between classical and quaternion quantum equations\, permits considering t he universe (vacuum) as an ideal elastic solid. Elementary particles would have to be standing\nor soliton-like waves. Tension induced by the compre ssion and twisting of the elastic medium would\nincrease the energy densit y\, consequently generate a gravity forcing and affect the wave speed. Con sequently the gravity could be described by an index of refraction.\n\nThe ory was created by combining the Cauchy model of the elastic continuum wit h the PlanckKleinert crystal hypothesis. The quaternion-imaginary Lagrangi an\, the quaternion motion equation\nand the quaternionic oscillator allow ed deriving:\n\n- The Schrödinger equation from the functional integral\, which identifies the quaternion-imaginary\nquantum Hamiltonian.\n\n- The 2nd order wave equation system describing both the bosons and the gravity. \n\n- The first order quaternionic wave equation system.\n\n- The family o f the second order wave equation systems describing both the particles and the\ngenerated quaternionic force-fields.\n\n- The quaternionic continuit y equation in an ideal elastic solid.\n\nKeywords and phrases: quaternion\ n\n\nJoint work with: Lucjan Sapa\, Chantal Roth\n LOCATION:https://researchseminars.org/talk/HCS2023/8/ END:VEVENT END:VCALENDAR