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arXiv 0704.1289gr-qc
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膜世界量子引力

Brane-world Quantum Gravity

M. D. Maia, Nildsen Silva, M. C. B. Fernandes

摘要:

将广义相对论的Arnowitt-Deser-Misner正则表述推广到任意维的协变膜世界理论。对额外维度的独家探索产生了实质性的差异,允许构建一个无约束的正则理论。膜世界几何的量子态由Tomonaga-Schwinger方程定义,其可积性条件由包含在纳什可微嵌入定理中的子流形的经典扰动确定。原则上,量子膜世界理论可以通过目前的天体物理学实验和不久的将来在Tev能量下的实验室实验来检验。对黑洞信息损失问题、加速宇宙学和四子流形的量子数学理论的影响作了简要的评论。

英文摘要:

The Arnowitt-Deser-Misner canonical formulation of general relativity is extended to the covariant brane-world theory in arbitrary dimensions. The exclusive probing of the extra dimensions makes a substantial difference, allowing for the construction of a non-constrained canonical theory. The quantum states of the brane-world geometry are defined by the Tomonaga-Schwinger equation, whose integrability conditions are determined by the classical perturbations of submanifolds contained in the Nash's differentiable embedding theorem. In principle, quantum brane-world theory can be tested by current experiments in astrophysics and by near future laboratory experiments at Tev energy. The implications to the black-hole information loss problem, to the accelerating cosmology, and to a quantum mathematical theory of four-sub manifolds are briefly commented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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