Operator geometry and algebraic gravity
高能物理 - 理论
2007-05-23 v3 广义相对论与量子宇宙学
数学物理
math.MP
摘要
An algebraic formulation of general relativity is proposed. The formulation is applicable to quantum gravity and noncommutative space. To investigate quantum gravity we develop the canonical formalism of operator geometry, after reconstructing an algebraic canonical formulation on analytical dynamics. The remarkable fact is that the constraint equation and evolution equation of the gravitational system are algebraically unified. From the discussion of regularization we find the quantum correction of the semi-classical gravity is same as that already known in quantum field theory.
引用
@article{arxiv.hep-th/0602256,
title = {Operator geometry and algebraic gravity},
author = {Masaru Siino},
journal= {arXiv preprint arXiv:hep-th/0602256},
year = {2007}
}
备注
24pages, An error is corrected. It influences one of main results on page 13. The new result seems reasonable