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Black Holes and Photons with Entropic Force |
| HE Xiao-Gang1,2,3,4, MA Bo-Qiang1,2,4 |
| 1School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 2Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 10617 3Institute of Particle Physics and Cosmology, Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 4Center for High-Energy Physics, Peking University, Beijing 100871 |
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HE Xiao-Gang, MA Bo-Qiang 2010 Chin. Phys. Lett. 27 070402 |
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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/λM =Δx/2λm. We suggest a new rule regarding entropy changes in different dimensions, ΔS= 2πkDΔl /λ, 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 = G M (Eγ/c2)/R2, and therefore the photon has an effective gravitational mass mγ= Eγ/c2.
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04.20.Cv
04.60.-m
04.70.-s
04.90.+e
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Received: 12 April 2010
Published: 28 June 2010
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| PACS: |
04.20.Cv
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(Fundamental problems and general formalism)
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04.60.-m
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(Quantum gravity)
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04.70.-s
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(Physics of black holes)
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04.90.+e
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(Other topics in general relativity and gravitation)
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