Information conservation is fundamental: recovering the lost information in Hawking radiation

TL;DR

This paper argues that information is conserved in Hawking radiation, challenging the traditional information loss paradox, and suggests experimental ways to detect correlations that confirm this conservation, impacting quantum gravity theories.

Contribution

It demonstrates that total information in Hawking radiation is conserved through correlations, providing a falsifiable approach to resolve the information loss paradox.

Findings

Correlations in Hawking radiation encode all initial information.

Information loss paradox can be experimentally tested.

Conservation of information supports unification of gravity and quantum mechanics.

Abstract

In both classical and quantum world, information cannot appear or disappear. This fundamental principle, however, is questioned for a black hole, by the acclaimed "information loss paradox". Based on the conservation laws of energy, charge, and angular momentum, we recently show the total information encoded in the correlations among Hawking radiations equals exactly to the same amount previously considered lost, assuming the non-thermal spectrum of Parikh and Wilczek. Thus the information loss paradox can be falsified through experiments by detecting correlations, for instance, through measuring the covariances of Hawking radiations from black holes, such as the manmade ones speculated to appear in LHC experiments. The affirmation of information conservation in Hawking radiation will shine new light on the unification of gravity with quantum mechanics.