Fluctuating Paths of Least Time, Schrodinger Equation, Van der Waals torque and Casimir Effect Mechanism
arXiv:2106.06396 · doi:10.1142/S0219887821501826
Abstract
The use of an infinity of fluctuating paths of least time that are compatible with the quantum mechanics indeterminacy provides a new interpretation in geometrical optic of the interference pattern of Young's double slit experiment, which suggests that the wave behavior of matter and radiation is dictated by the space-time geodesics. Moreover, the association of a wave function to each path of least time as a probability amplitude together with an uncertainty for momentum and position allows to derive the Schrodinger's equation starting from the geodesic's characteristics. A new insight is obtained regarding the Van Der Waals torque as well as Casimir attraction/repulsion mechanism.
24 Pages, 17 figure, 1 table