Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-03-08
Chin.Phys.Lett.27:070402, 2010
Physics
High Energy Physics
High Energy Physics - Theory
4 Latex pages, no figure.
Scientific paper
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 $m_\gamma = E_\gamma/c^2$.
He Xiao-Gang
Ma Bo-Qiang
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