关于De Sitter不变狭义相对论物理问题的研究

建立于1970年代的de Sitter不变狭义相对论(dS-SR)是我国学者的原始创新，其理论结构自洽，并超出了通常的Einstein 狭义相对论(E-SR)。本项目旨在探索dS-SR物理。从Lagrange理论和第一原理出发建立和研究dS-SR量子力学和dS-广义相对论(dS-GR)：用绝热近似和定态微扰进一步求解氢原子；探讨自由粒子dS-SR量子力学波函数，以及2次量子化问题。探讨dS-GR的dS-SR局部惯性系和dS-SR惯性系坐标条件，以及由此而来的对行星进动、黑洞熵等的影响等；将dS-SR、dS-GR、原子物理、宇宙学结合起来探索新物理，寻求确定dS-SR中普适常数R的物理效应，关注dS-SR与Dirac大数定理的关系；关注与上述相关的数学物理问题。在World Scientific Com 撰写英文专著系统阐述和介绍dS-SR（已签合同），推动学术交流。本项目有工作基础。

The de Sitter Invariant Special Relativity (dS-SR) were originally suggested by Chinise scholars Lu, Zou and Guo in 1970's. Theory of dS-SR is self-consistent, and the physics of dS-SR is beyond the ordinary Einstein Special Relativity's (E-SR). The purpose of the project presented here is to explore the physics of dS-SR. From Lagrangian theory and the first principle, we can build dS-SR Quantum Mechanics (QM) and dS-General Relativity (dS-GR). The hydrogen atom problem in dS-SR QM can be solved by means of adiabatic approximation and stationary perturbations. The higher order solutions of this problem will be explored. The wave functions of free particles and the second quantization in dS-SR QM will be studied. We will also discuss the local dS-SR inertial reference system in dS-GR, and the solutions with dS-SR inertial coordinates condation choice in dS-GR. Such solutions will influence the calculations of the motion of a planet, the bending of light ray and the entropy of black holes etc. We try to reveal new physics in terms of combining dS-SR, dS-GR, cosmology and atom physics. We will also be interested in physical effects to determine the universal parameter R in dS-SR, the relationship between dS-SR and Dirac large number hypothesis, and related physics-mathematical problems. We have contracted with the World Scientific Com. Singapore, to write a book for describing dS-SR systemically.This project is practical.