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Study On Origin Of The Entropy Of The Black Hole

Posted on:2010-12-29Degree:MasterType:Thesis
Country:ChinaCandidate:B Z ShenFull Text:PDF
GTID:2120360278996845Subject:Atomic and molecular physics
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Bekenstein(1972,1973,1974)suggested that a black hole actually carries an entropy equal to its horizon area ,4SBH = A .The area theorem(Hawcking,1971) states that the area of black hole event horizon never decreases with time: dA≥0.Assuming weak gravity ,spherical symmetry ,and other conditions one finds that the entropy in a region of space is limited by the entropy in a region of space ia limited by the area of its boundary. Based on spherical entropy bound ,'t Hooft (1993) and Sussind (1995)formulated a holographic principle: the number of independent degrees of freedom residing inside the relevant region is bounded by the surface area in Planck units, instead of by the relevant region.Such bounds establish black holes as maximally entropy objects of a give size, and postulate that the maximum entropy inside the relevant region behaves non-extensively, growing only as its surface area. Cohen and collaborators suggested sometime ago , that in quantum field theory a short distance cut-off is related to a long distance cut-off due to the limit set by formation of a black hole. An effective local quantum field theory with UV and IR cutoffs in accordance with holographic entropy bounds is capable of rendering the cosmological constant (cc) stable against quantum corrections. By setting an IR cutoff to length scales relevant to cosmology, one easily obtains the currently observedρΛ= 10 ?52cm?2, Thus alleviating the CC problem. In terms of holographic principle we analyze entropy once again , obtaining cosmological radius agree with the currently observed 10? 25m.According to holographic principle, we think entropy is made up of the number of the particles with different scale. In conventional quantum field theories, entropy denote number of the particles with electronic scale, In a black hole entropy denote number of the particles with Planck scale. With it wo reformulate the second law: the number of particles residing inside the relevant region never decreases. We demonstrate it with Einstein field equation. We also demonstrate decaying vacuum. We find the constant energy law inviolate, but we unify dark energy, dark matter, common matter, he constant energy law survies. There exists an interaction between matter and the CC which causes a continuous transfer of energy from matter to the CC and vice versa . We think this entropy just is the Hawcking radiation entropy.
Keywords/Search Tags:cosmological constant, holographic principle, entropy, the second law, dark energy
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