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

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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… Click to show full 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 Schrödinger’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.

Keywords: fluctuating paths; least time; time; schr dinger; dinger equation; paths least

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2021

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