Title: Rescuing complementarity with little drama

Abstract

The AMPS paradox challenges black hole complementarity by apparently constructing a way for an observer to bring information from the outside of the black hole into its interior if there is no drama at its horizon, making manifest a violation of monogamy of entanglement. We propose a new resolution to the paradox: this violation cannot be explicitly checked by an infalling observer in the finite proper time they have to live after crossing the horizon. Our resolution depends on a weak relaxation of the no-drama condition (we call it “little-drama”) which is the “complementarity dual” of scrambling of information on the stretched horizon. When translated to the description of the black hole interior, this implies that the fine-grained quantum information of infalling matter is rapidly diffused across the entire interior while classical observables and coarse-grained geometry remain unaffected. Under the assumption that information has diffused throughout the interior, we consider the difficulty of the information-theoretic task that an observer must perform after crossing the event horizon of a Schwarzschild black hole in order to verify a violation of monogamy of entanglement. We find that the time required to complete a necessary subroutine of this task, namely the decoding of Bellmore » pairs from the interior and the late radiation, takes longer than the maximum amount of time that an observer can spend inside the black hole before hitting the singularity. Therefore, an infalling observer cannot observe monogamy violation before encountering the singularity.« less

Authors:

Bao, Ning ^[1]; Bouland, Adam ^[2]; Chatwin-Davies, Aidan  ^[1];

• Search DOE PAGES for author "Chatwin-Davies, Aidan"
• Search DOE PAGES for ORCID "0000-0003-1406-9271"

Pollack, Jason  ^[1];

• Search DOE PAGES for author "Pollack, Jason"
• Search DOE PAGES for ORCID "0000-0003-4754-4905"

Yuen, Henry  ^[3]

• Search DOE PAGES for author "Yuen, Henry"
• Search DOE PAGES for ORCID "0000-0002-2684-1129"

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+ Show Author Affiliations

1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
3. Univ. of California, Berkeley, CA (United States)

Publication Date:

Wed Dec 07 00:00:00 EST 2016

Research Org.:

California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:

1360115

Alternate Identifier(s):

OSTI ID: 1595839

Grant/Contract Number:  

SC0011632

Resource Type:

Accepted Manuscript

Journal Name:

Journal of High Energy Physics (Online)

Additional Journal Information:

Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:

Springer Berlin

Country of Publication:

United States

Language:

English

Subject:

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; black holes; models of quantum gravity