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Title: Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?

Abstract

In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology nor the geometry of spacetime can be the result of an operator measurement. We address how to reconcile these statements with the usual semiclassical analysis of low energy effective field theory for gravity.

Authors:
 [1];  [1]
  1. Univ. of California, Santa Barbara, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1601984
Alternate Identifier(s):
OSTI ID: 1366584
Grant/Contract Number:  
SC0011702; SC 0011702
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 26; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Berenstein, David, and Miller, Alexandra. Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.261601.
Berenstein, David, & Miller, Alexandra. Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?. United States. doi:10.1103/PhysRevLett.118.261601.
Berenstein, David, and Miller, Alexandra. Mon . "Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?". United States. doi:10.1103/PhysRevLett.118.261601. https://www.osti.gov/servlets/purl/1601984.
@article{osti_1601984,
title = {Can Topology and Geometry be Measured by an Operator Measurement in Quantum Gravity?},
author = {Berenstein, David and Miller, Alexandra},
abstractNote = {In the context of LLM geometries, we show that superpositions of classical coherent states of trivial topology can give rise to new classical limits where the topology of spacetime has changed. We argue that this phenomenon implies that neither the topology nor the geometry of spacetime can be the result of an operator measurement. We address how to reconcile these statements with the usual semiclassical analysis of low energy effective field theory for gravity.},
doi = {10.1103/PhysRevLett.118.261601},
journal = {Physical Review Letters},
number = 26,
volume = 118,
place = {United States},
year = {2017},
month = {6}
}

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Works referenced in this record:

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