Diffeomorphism invariance and quantum mechanical paradoxes

Dukehart, Adam; Mattingly, David

doi:10.1142/S0218271823501092

Diffeomorphism invariance and quantum mechanical paradoxes

Journal Article · Wed Feb 07 00:00:00 EST 2024 · International Journal of Modern Physics D

DOI:https://doi.org/10.1142/S0218271823501092· OSTI ID:3008820

Dukehart, Adam ^[1]; ^[1]

Univ. of New Hampshire, Durham, NH (United States)

Paradoxes in gravitational physics, such as grandfather paradoxes with closed timelike curves or the AMPS paradox, are often constructed in a weak gravity regime but upon further examination engender strong gravitational responses such as unstable Cauchy horizons or firewalls. In contrast, some proposed paradoxes in nonrelativistic quantum mechanics ignore gravity completely. Such nonrelativistic proposed paradoxes are often not gauge invariant — they use local operators which should be forbidden by diffeomorphism-invariant quantum gravity. Ignoring this complication is reasonable if there is a consistent weak gravity regime where the paradox can be formulated with gauge invariant observables up to some order in Newton’s constant. Here, we show that this approach remains inconsistent due to a lack of analyticity of the necessary solutions. As a consequence, there is no consistent weak gravity, diffeomorphism invariant embedding of such paradoxes—just as in other gravitational paradoxes they generate a strong gravitational response and are in principle sensitive to quantum gravity.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of New Hampshire, Durham, NH (United States); University of New Hampshire, Durham, NH (United States)

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

Grant/Contract Number:: SC0020220

OSTI ID:: 3008820

Alternate ID(s):: OSTI ID: 2580071
OSTI ID: 3008774

Journal Information:: International Journal of Modern Physics D, Journal Name: International Journal of Modern Physics D Journal Issue: 01 Vol. 33; ISSN 1793-6594; ISSN 0218-2718

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

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