Research on Quantum Theories of Gravity and Spacetime (Physics)

雅各布森博士的课程主要是量子引力。 该研究涉及该主题的几个方面：1） 扩展概率解释的概念问题 量子理论的量子引力将被研究; 2） 将通常的量子化框架应用于 哈密顿量消失的系统将被分析的帮助下， 一类简单模型; 3）时空切片， 研究广义相对论的正哈密顿量; 4)我们将从两个方面来研究离散的时空模型 （a）将向各方面寻求提示， 离散时空的可能性质，包括黑洞 热力学、能量动量守恒要求和 量子理论的解释性要求; B） 特定的离散时空模型（自旋网络，因果关系 套，.）将被探索。 一般来说，这项研究的动机是相信， 量子引力的问题从根本上需要一个 时空本身的量子理论，相对于非量子化 经典引力

The program of Dr. Jacobson is primarily on quantumgravity. The research involves several facets of that subject: 1) Conceptual problems of extending the probabilisticinterpretation of quantum theory to quantum gravity will bestudied; 2) The difficulty of applying the usual framework ofquantization to a system with vanishing hamiltonian will beanalyzed with the help of a class of simple models; 3) Spacetime slicings which render the hamiltonian of general relativity positive will be studied; 4) Discrete models of spacetime will be studied from two points of view: a) Hints will be sought from all quarters as to the possible nature of discrete spacetime, including black hole thermodynamics, energy-momentum conservation requirements and interpretive requirements of quantum theory; b) The properties of specific discrete spacetime models (spin networks, causal sets,...) will be explored. Broadly speaking, this research is motivated by the belief that the problem of quantum gravity fundamentally requires a quantum theory of spacetime itself, as opposed to aquantization of classical gravity.