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:

 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) (SC25)
 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 00319007
 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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