Order-Unity Correction to Hawking Radiation
Order-Unity Correction to Hawking Radiation
复制标题
霍金辐射的序统一校正
DOI：
10.1103/physrevlett.127.041301
复制
发表时间：
2021
影响因子：
8.6
通讯作者：
Flanagan, Eanna E.
中科院分区：
文献类型：
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作者：
Flanagan, Eanna E.
当黑洞第一次形成时，观测者在未来零无穷附近测量到的发射辐射的性质非常接近霍金1974年的预测。然而，偏差随着时间的推移而增加，并在一段时间后成为有序单位，其中初始质量以普朗克单位表示。经过一段时间的蒸发后，校正很大：发射辐射的角分布不再以低多极为主，在高多极处呈指数衰减。相反，辐射以幂律谱的形式在一个很宽的角度范围内重新分布，一直到这个尺度，超过这个尺度就会出现指数衰减。这种效应是一种量子引力效应，它的起源是黑洞质心位置的波函数的传播，这是由Page在1980年发现的单个出射量子的踢动引起的。修正的霍金辐射角分布有一个重要的结果：能够有效地与外向霍金量子相互作用的软毛模式的数量从低多极态的少数模式增加到大量有序模式。我们认为，这一变化解开了霍金-佩里-斯特罗明格净化霍金辐射的机制。
When a black hole first forms, the properties of the emitted radiation as measured by observers near future null infinity are very close to the 1974 prediction of Hawking. However, deviations grow with time and become of order unity after a time, whereis the initial mass in Planck units. After an evaporation time, the corrections are large: the angular distribution of the emitted radiation is no longer dominated by low multipoles, with an exponential falloff at high multipoles. Instead, the radiation is redistributed as a power-law spectrum over a broad range of angular scales, all the way down to the scale, beyond which there is exponential falloff. This effect is a quantum gravitational effect, whose origin is the spreading of the wave function of the black hole’s center-of-mass location caused by the kicks of the individual outgoing quanta, discovered by Page in 1980. The modified angular distribution of the Hawking radiation has an important consequence: the number of soft hair modes that can effectively interact with outgoing Hawking quanta increases from the handful of modes at low multipolesto a large number of modes, of order. We argue that this change unlocks the Hawking-Perry-Strominger mechanism for purifying the Hawking radiation.