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Quantum Hair from Gravity.

Xavier Calmet1, Roberto Casadio2,3, Stephen D H Hsu4

  • 1Department of Physics and Astronomy, University of Sussex, Brighton BN1 9QH, United Kingdom.

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|April 1, 2022
PubMed
Summary
This summary is machine-generated.

The quantum state of matter sources dictates their gravitational field. Quantum gravity effects reveal that a source's internal structure influences its gravitational field, creating "quantum hair".

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Area of Science:

  • Quantum Gravity
  • Quantum Field Theory
  • General Relativity

Background:

  • Understanding the interplay between matter and spacetime is crucial in quantum gravity.
  • The asymptotic graviton field describes the gravitational influence far from a source.
  • Previous studies have focused on classical or semiclassical aspects of this relationship.

Purpose of the Study:

  • To investigate the quantum mechanical relationship between a compact matter source and its asymptotic graviton field.
  • To determine how the quantum state of matter influences gravitational fields at the boundary of spacetime.
  • To explore the existence and nature of quantum hair arising from gravitational effects.

Main Methods:

  • Analyzing the quantum state of a compact matter source in an energy eigenstate.
  • Calculating the leading-order graviton state based on the energy eigenvalue.
  • Employing effective field theory to compute quantum gravitational effects.
  • Investigating subleading asymptotic behaviors of the graviton state.

Main Results:

  • The graviton state is primarily determined by the matter source's energy eigenvalue.
  • A one-to-one mapping exists between graviton states and matter source states, barring accidental degeneracies.
  • Quantum gravitational effects cause subleading graviton state behavior to depend on the source's internal structure.
  • This dependence establishes the existence of ubiquitous quantum hair.

Conclusions:

  • The quantum state of a matter source uniquely determines its asymptotic graviton field.
  • Quantum hair, a purely gravitational phenomenon, is a consequence of the internal structure of matter sources.
  • This work provides a new perspective on information encoding in quantum gravitational systems.