论文标题
动态系统视角中的量子重力
Quantum-gravity in a dynamical system perspective
论文作者
论文摘要
相对论和量子理论的一般理论分别对大小规模的同一母亲进行了两个不同的描述。这两种理论的数学语言是完全不同的，一种是几何，另一种是概率。这个奇怪的特征使这些理论（量子重力）的合并非常困难。在此手稿中，我们从动态系统的角度探索了量子重力。例如，在标准量子理论中，波方程是线性偏微分方程，而相对论的一般理论，场方程是高度非线性的。经典的动力学系统可以显示非常丰富的相空间结构，在线性部分微分方程中不存在。为了结合重力校正，人们可以考虑量子理论的非线性扩展。在此手稿中，探索了量子重力的尝试。在新配制的量子方程中发现了耗散和强迫校正，并给出了物理解释。
General Theory of Relativity and Quantum theory gives two different description of the same mother nature in the big and small scale respectively. Mathematical languages of these two theories are entirely different, one is geometric while the other one is probabilistic. This curious feature makes the merging of these theories (quantum-gravity) considerably difficult. In this manuscript, we explore quantum-gravity in a dynamical system perspective. For example, in the standard quantum theory, the wave equation is a linear partial differential equation while in General Theory of relativity, the field equations are highly nonlinear. A classical dynamical system can show very rich phase-space structures which is absent in a linear partial differential equation. In order to incorporate gravitational corrections one can think about the nonlinear extensions of quantum theory. In this manuscript such an attempt to quantum gravity is explored. Dissipative and forcing corrections are found in the newly formulated quantum equation and it's physical interpretations are given.
