论文标题

全息原则,量规不变性和重力的出现

Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity a la Wilczek

论文作者

Addazi, Andrea, Chen, Pisin, Fabrocini, Filippo, Fields, Chris, Greco, Enrico, Lulli, Matteo, Marciano, Antonino, Pasechnik, Roman

论文摘要

我们表明,全息原理的广义版本可以从对维持可分离状态的量子系统中的信息流的描述中得出。然后,我们表明,这种广义的全息原理需要一个规格不变性的一般原则。当在环境洛伦兹时空中实现这一点时,立即实现了庞加莱集团下的规格不变性。我们应用此途径来检索重力的作用。后者通过MacDowell和Mansouri得出的类似表述铸造了La Wilczek,涉及Lie offer so的代表理论(3,2)等(4,1)。

We show that a generalized version of the holographic principle can be derived from the Hamiltonian description of information flow within a quantum system that maintains a separable state. We then show that this generalized holographic principle entails a general principle of gauge invariance. When this is realized in an ambient Lorentzian space-time, gauge invariance under the Poincare group is immediately achieved. We apply this pathway to retrieve the action of gravity. The latter is cast a la Wilczek through a similar formulation derived by MacDowell and Mansouri, which involves the representation theory of the Lie groups SO(3,2) and SO(4,1).

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