Singularities, horizons, firewalls, and local conformal symmetry

Singularities, horizons, firewalls, and local conformal symmetry
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奇点、视界、防火墙和局部共角对称

DOI:
10.1007/978-3-319-94256-8_1
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发表时间:
2015
期刊:
arXiv: General Relativity and Quantum Cosmology
影响因子:
--
通讯作者:
G. Hooft
G. Hooft
中科院分区:
--
文献类型:
--
作者:
G. Hooft

文献摘要

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爱因斯坦-希尔伯特引力理论可以通过聚焦于局部共形对称作为一种精确的,但自然界自发破缺的对称来重新表述。度规场的共形分量则被视为一个仅具有可重整化相互作用的介子场。这对理论施加了限制,这也可以被视为要求行为的规律性,因为介子场变量趋于0。换句话说,我们对小距离行为有限制。我们的程序似乎把一个黑洞变成一个规则的,拓扑平凡的孤子没有奇点,地平线的防火墙,但许多问题仍然存在。
The Einstein-Hilbert theory of gravity can be rephrased by focusing on local conformal symmetry as an exact, but spontaneously broken symmetry of nature. The conformal component of the metric field is then treated as a dilaton field with only renormalizable interactions. This imposes constraints on the theory, which can also be viewed as demanding regularity of the action as the dilaton field variable tends to 0. In other words, we have constraints on the small distance behaviour. Our procedure appears to turn a black hole into a regular, topologically trivial soliton without singularities, horizons of firewalls, but many questions remain.