We can deduce the law of refraction of light from Fermat's shortest path length principle: nsinA = n'sinA '. Proponents of the fluctuation of light have posed the following inconveniences to light microparticles: If it is assumed that light is a particle, its motion follows The principle of the minimum action, δ∫pdl = 0. If p = mv, then δ∫vdl = 0, this leads to the following law of refraction: nsinA '= n'sinA, which is a clear violation of experimental facts. Even considering the theory of relativity, for free particles, p = Ev / c ^ 2 still holds, E is the energy of the particles, and from one medium to another medium, E does not change, so we still get δ∫vdl = 0, How to solve this contradiction?
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i really don't know how to solve this problem.