Black Holes and Photons with Entropic Force
  We study entropic force effects on black holes and photons. We find that
application of an entropic analysis restricts the radial change $\Delta R$ of a
black hole of radius $R_{\mathrm{H}}$, due to a test particle of a
Schwartzchild radius $R_{h}$ moving towards the black hole by $\Delta x$ near
black body surface, to be given by a relation $R_{\mathrm{H}} \Delta R= R_h
\Delta x/2$, or ${\Delta R}/{\lambdabar_M} = {\Delta x}/{2 \lambdabar_m}$. We
suggest a new rule regarding entropy changes in different dimensions, $\Delta
S= 2\pi k D \Delta l /\lambdabar,$ which unifies Verlinde's conjecture and the
black hole entropy formula. We also propose to extend the entropic force idea
to massless particles such as a photon. We find that there is an entropic force
on a photon of energy $E_\gamma$, with $F=G M m_{\gamma}/R^2$, and therefore
the photon has an effective gravitational mass $m_\gamma = E_\gamma/c^2$.
