Unraveling Mysteries of Gravity and Dirac Equation within Planck-Kleinert Crystal

Explore a groundbreaking lecture on quaternion quantum mechanics that unravels the mysteries of gravity and the Dirac equation within the Planck-Kleinert crystal model. Delve into Prof. Marek Danielewski's presentation of a quaternion representation of quantum mechanics, allowing for an ontological interpretation of the universe as an ideal elastic solid. Discover how this innovative approach combines the Cauchy model of elastic continuum with the Planck-Kleinert crystal hypothesis, leading to novel derivations of fundamental equations in physics. Examine the correspondence between classical and quaternion quantum equations, and learn how this theory explains elementary particles as standing or soliton-like waves. Investigate the concept of gravity as a refractive index and its relationship to the compression and twisting of the elastic medium. Gain insights into the quaternion-imaginary Lagrangian, motion equations, and oscillator, and their applications in deriving key equations such as the Schrödinger equation, boson and gravity wave equations, and quaternionic force-field descriptions.