内禀时间量子引力
Intrinsic Time Quantum Gravity
摘要:
正确识别广义相对论的真正规范对称性是3d空间同态不变的(3dDI)(而不是传统的具有主纤维束结构的无限张量积群),以及从正则结构的干净分解中提取的内禀时间,产生了量子引力的自洽理论。还提出了一组新的基本对易关系。基本变量是空间dreibein的幺模部分的八个分量和八个SU(3)生成元,它们对应于表征量子引力自由理论的Klauder动量变量。这些对易关系不是正则的,但具有明确的群论意义。所有的基本实体都是无量纲的;量子波泛函优先在德赖拜因表示中。成功的引力量子理论只涉及广泛的知识和深刻的见解,而没有外来的想法。
英文摘要:
Correct identification of the true gauge symmetry of General Relativity being 3d spatial diffeomorphism invariant(3dDI) (not the conventional infinite tensor product group with principle fibre bundle structure), together with intrinsic time extracted from clean decomposition of the canonical structure yields a self-consistent theory of quantum gravity. A new set of fundamental commutation relations is also presented. The basic variables are the eight components of the unimodular part of the spatial dreibein and eight SU(3) generators which correspond to Klauder's momentric variables that characterize a free theory of quantum gravity. The commutation relations are not canonical, but have well defined group theoretical meanings. All fundamental entities are dimensionless; and the quantum wave functionals are preferentially in the dreibein representation. The successful quantum theory of gravity involves only broad spectrum of knowledge and deep insights but no exotic idea.
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