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For 15 years I've worked on a general formulation of models compatible with both general relativity and quantum mechanics, called Holographic Space Time (HST). This is a well defined mathematical framework, which incorporates the principles of unitarity, causality and holography: the Hilbert space describing physics in a causal diamond in space-time has a dimension equal to the maximal space-like area on the boundary of the diamond. Jacobson showed that the hydrodynamic laws implied by this principle were all of the projections of Einstein's equations onto null vectors in space-time. The cosmological constant is left undetermined by this principle and Fischler and I conjectured that it was determined by the relation between asymptotically large proper time and asymptotically large area. In particular, in our own universe it appears that the cosmological constant is positive and the maximal entropy of the universe remains finite even at arbitrarily large proper time. We also discovered that degrees of freedom localized in the bulk of the diamond are special states of the holographic variables on the boundary, characterized by a number of constraints proportional to ER, where E is the energy of the state and R the square root of the finite maximal area. This description of localized objects is supported by many classical results in general relativity and gives rise to a theory of black hole formation and evaporation in particle collisions that is completely consistent with unitarity, causality, and the absence of firewalls or other drama for systems falling behind black hole horizons, on time scales of order the light crossing time of the black hole.
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论文共 126 篇作者统计合作学者相似作者
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arxiv(2024)
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International Journal of Modern Physics D (2024)
Maciej Dunajski,Tom Banks,Samir D. Mathur, Mathur Mehta,Shahar Hod,Neil Lu,Susan M. Scott,Karl Wette, Akindele Adekugbe-Joseph,Emily Adlam,Shraddha Agrawal,Ahmed Farag Ali,
arXiv (Cornell University) (2023)
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arXiv (Cornell University) (2023)
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