Event horizon of a Schwarzschild black hole: magnifying glass for Planck length physics

作者: T. Padmanabhan

DOI: 10.1103/PHYSREVD.59.124012

关键词: Theoretical physicsPhysicsEvent horizonBlack hole thermodynamicsHawking radiationVirtual black holeExtremal black holeMembrane paradigmBlack holeQuantum mechanicsWhite hole

摘要: An attempt is made to describe the ``thermodynamics'' of semiclassical spacetime without specifying detailed ``molecular structure'' quantum spacetime, using known properties black holes. I give arguments, essentially based on behavior systems near event horizon, which suggest that horizon a Schwarschild hole acts as magnifying glass probe Planck length physics even in those contexts curvature arbitrarily low. The state describing hole, any microscopic description has possess certain universal form density states can be ascertained from general considerations. Since formed collapse physical system with low energy Hamiltonian H, it suggested high should described by modified ${H}_{\mathrm{mod}}^{2}{=A}^{2}\mathrm{ln}{(1+H}^{2}{/A}^{2})$ where ${A}^{2}\ensuremath{\propto}{E}_{P}^{2}.$ also show possible construct several have and hence will indistinguishable far thermodynamic interactions are concerned. In particular, holes thought one-particle excitations class nonlocal field theories thermodynamics arising asymptotic dispersion relation satisfied these excitations. These theoretic models correlation functions short distance behavior, translates into generic Several implications this paradigm discussed.

参考文章(20)
Andrew Kenneth Waldron, Aspects of Quantum Field Theory Springer, Dordrecht. pp. 351- 446 ,(1997) , 10.1007/978-94-017-1695-6_5
ASHOKE SEN, Strong-Weak Coupling Duality in Four-Dimensional String Theory International Journal of Modern Physics A. ,vol. 9, pp. 3707- 3750 ,(1994) , 10.1142/S0217751X94001497
Joseph Polchinski, String duality: A Colloquium Reviews of Modern Physics. ,vol. 68, pp. 1245- 1258 ,(1996) , 10.1103/REVMODPHYS.68.1245
Abhay Ashtekar, Carlo Rovelli, Lee Smolin, Weaving a classical metric with quantum threads Physical Review Letters. ,vol. 69, pp. 237- 240 ,(1992) , 10.1103/PHYSREVLETT.69.237
Carlo Rovelli, Lee Smolin, Discreteness of area and volume in quantum gravity arXiv: General Relativity and Quantum Cosmology. ,(1994) , 10.1016/0550-3213(95)00150-Q
Jacob D. Bekenstein, Black holes and entropy Physical Review D. ,vol. 7, pp. 2333- 2346 ,(1973) , 10.1103/PHYSREVD.7.2333
Jacob D. Bekenstein, Generalized second law of thermodynamics in black-hole physics Physical Review D. ,vol. 9, pp. 3292- 3300 ,(1974) , 10.1103/PHYSREVD.9.3292
S. W. Hawking, Particle Creation by Black Holes Communications in Mathematical Physics. ,vol. 43, pp. 199- 220 ,(1975) , 10.1007/BF02345020
Ulrich H. Gerlach, The mechanism of blackbody radiation from an incipient black hole Physical Review D. ,vol. 14, pp. 1479- 1508 ,(1976) , 10.1103/PHYSREVD.14.1479
James W. York, Dynamical origin of black-hole radiance Physical Review D. ,vol. 28, pp. 2929- 2945 ,(1983) , 10.1103/PHYSREVD.28.2929