The Holographic Nature of Null Infinity

By Alok Laddha, Siddharth G. Prabhu, S. Raju, Pushkal Shrivastava. SciPost Physics, 2020

136 citations recorded by the source corpus.

We argue that, in a theory of quantum gravity in a four dimensional asymptotically flat spacetime, all information about massless excitations can be obtained from an infinitesimal neighbourhood of the past boundary of future null infinity and does not require observations over all of future null infinity. Moreover, all information about the state that can be obtained through observations near a cut of future null infinity can also be obtained from observations near any earlier cut although the converse is not true. We provide independent arguments for these two assertions. Similar statements hold for past null infinity. These statements have immediate implications for the information paradox since they suggest that the fine-grained von Neumann entropy of the state defined on a segment (-infty,u) of future null infinity is independent of u. This is very different from the oft-discussed Page curve that this entropy is sometimes expected to obey. We contrast our results with recent discussions of the Page curve in the context of black hole evaporation, and also discuss the relation of our results to other proposals for holography in flat space.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0ddfa8bed288df82b03eb450768043877fa21582

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. H. Geng
2. S. Raju
3. A. Karch
4. L. Randall
5. Sanjit Shashi
6. Marcos Riojas
7. Carlos Perez-Pardavila
8. M. Pate

In Nuclear and High Energy Physics

1. S. Raju
2. H. Geng
3. A. Karch
4. Sanjit Shashi
5. Marcos Riojas
6. Carlos Perez-Pardavila
7. Sabrina Pasterski
8. M. Pate

In Statistical and Nonlinear Physics

1. S. Raju
2. Sabrina Pasterski
3. M. Pate
4. A. Raclariu
5. A. Karch
6. H. Geng
7. L. Randall
8. Sanjit Shashi

Citations in the corpus

• Information Transfer with a Gravitating Bath (2020, methodology): “Regardless, for both configurations we reach an agreement with arguments in [20], in the sense that, as the entanglement surface remains constant in time, the corresponding entropy is also constant.”
• Celestial Holography (2021, background): “Determining the precise phrasing of these statements within the CCFT framework is an active area of research [98, 206, 207] which will help bridge the gap between the celestial holography program and standard techniques from AdS holography for quantum information exchange.”