Abstract

We study the entropic force effects on black holes and photons. It is found that application of an entropic analysis restricts the radial change ΔR of a black hole of radius RH, due to a test particle of a Schwarzschild radius Rh moving towards the black hole by Δx near a black body surface, to be given by a relation RHΔR = RhΔx/2, or ΔR/M = Δx/2m. We suggest a new rule regarding entropy changes in different dimensions, ΔS = 2πkDΔl/, which unifies Verlinde's conjecture and the black hole entropy formula. We also propose the extension of the entropic force idea to massless particles such as photons. It is realized that there is an entropic force on a photon of energy Eγ, with F = GM(Eγ/c2)/R2, and therefore the photon has an effective gravitational mass mγ = Eγ/c2.

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