Theoretical Investigations in Classical and Quantum Gravity

锡拉丘兹小组将在经典引力理论和量子引力理论方面开展多样化的研究计划。在经典方面，他们将使用正则方法、使用新的动力学变量和扭曲方法来分析爱因斯坦方程的解的性质。在量子方面，他们将继续使用他们的新工具(环路和连接表示)来研究引力的量子化。其他研究将调查模型系统(如2+1引力)、宇宙学模型、时间的作用和意义以及测量理论。这项工作的目标将是将经典引力理论扩展到量子领域，深入了解任何精确的量子引力理论，并克服这一努力中的基本概念问题。

The Syracuse group will carry out a diverse program of studies in both classical and quantum gravity theory. On the classical side, they will analyze properties of solutions to Einstein's equations by canonical methods, by the use of new dynamical variables, and by twistor methods. On the quantum side, they will continue to study the quantization of gravitation using their new tools (loop and connection representations). Other studies will investigate model systems (such as 2 + 1 gravity), cosmological models, the role and meaning of time, and measurement theory. The goal of this work will be to extend classical gravitation theory to the quantum domain, to gain insight on any exact quantum theory of gravity, and to overcome fundamental conceptual issues in this endeavor.