Fluctuating Paths of Least Time, Schrodinger Equation, Van der Waals torque and Casimir Effect Mechanism

TL;DR

This paper proposes a novel interpretation of quantum phenomena using fluctuating paths of least time, deriving Schrödinger's equation from geodesics, and providing new insights into Van der Waals and Casimir effects.

Contribution

It introduces a geometrical optic interpretation of quantum interference and derives Schrödinger's equation from space-time geodesics, linking quantum mechanics with space-time geometry.

Findings

Interference patterns explained via fluctuating paths of least time.

Schrödinger's equation derived from geodesic characteristics.

New insights into Van der Waals torque and Casimir effects.

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.