Wenzhong David Zhang
Keywords: Planck constant, mechanical angular momentum, cycloid motion, generalized Planck constant, generalized Planck-Einstein relation, generalized de Broglie relation
Abstract: The Planck constant is derived from the analysing of the energy and frequency relationship of a simple harmonic oscillator model for photon particles from a mechanical perspective. The correlation between the Planck constant, the inertial mass, the angular frequency, and the corresponding radius of the harmonic oscillation of the photon particle is derived. The photon particles have equal mechanical angular momentum. This insight is applied to the propagation of photon particles in the free space and other transparent media based on the model of the cycloid motion of harmonic oscillators. The interdependence of the properties of photon particles and their entanglements with their surrounding spaces are elicited. Kepler’s second and third laws of motion are deduced for the specified photon particle in the free space and other transparent media. For any particle in periodic motion with the rotational symmetry, its inertial mass, its time period, and its space displacement are entangled together by its conserved mechanical angular momentum. The centre of the periodic motion with the rotational symmetry is proposed as a universally applicable reference frame to simplify and unify the laws of physics. The generalized Planck constant, generalized Planck-Einstein relation, and generalized de Broglie relation are proposed for applications in both microcosms and macrocosms.
[View Complete Article]