Fluctuating paths of least time, Schrodinger equation, van der Waals torque and Casimir effect mechanism

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.

Automated summary

By using fluctuating paths of least time compatible with quantum mechanics, a new interpretation in geometrical optics is provided for the interference pattern of Young's double slit experiment, suggesting that the wave behavior of matter and radiation is determined by space-time geodesics. Furthermore, associating a wave function with each path of least time as a probability amplitude and introducing uncertainty for momentum and position can derive the Schrodinger's equation from geodesic characteristics. A new understanding is gained on the van der Waals torque and Casimir attraction/repulsion mechanism.