科研之友
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摘要
The area of a cross-sectional cut Sigma of future null infinity (I+) is infinite. We define a finite, renormalized area by subtracting the area of the same cut in any one of the infinite number of BMS-degenerate classical vacua. The renormalized area acquires an anomalous dependence on the choice of vacuum. We relate it to the modular energy, including a soft graviton contribution, of the region of I+ to the future of Sigma. Under supertranslations, the renormalized area shifts by the supertranslation charge of Sigma. In quantum gravity, we conjecture a bound relating the renormalized area to the entanglement entropy across Sigma of the outgoing quantum state on I+.
- 出版日期2017-8-17
