Discussion on the weak equivalence principle for a Schwarzschild gravitational field based on the light-clock model

Abstract

Inspired by special relativity, we put forward the idea the mass of particles is an emergent phenomenon. It assumed that matter is composed by two groups of massless particles (photons) and mass results from the entanglement among them. We refer to this conjecture as the light-clock model of massive matter. The relation between the intrinsic acceleration of light and the ideal dielectric refractive index is derived from the Eikonal equation. For light in the light-clock model, the relative motion refractive index $n_r$ and the local Schwarzschild gravitational field refractive index $n_l$ are defined according to the Minkowski metric and the Schwarzschild metric, respectively, and are used to prove that the weak equivalence principle in Schwarzschild gravitational field is a corollary of the least action principle.