Loading [MathJax]/extensions/tex2jax.js

Gravitational Metrological Triangle

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Sebastian Ulbricht
  • Claus Lämmerzahl

Externe Organisationen

  • Zentrum für angewandte Raumfahrt­technologie und Mikro­gravitation (ZARM)

Details

OriginalspracheEnglisch
Aufsatznummer241402
FachzeitschriftPhysical Review Letters
Jahrgang133
Ausgabenummer24
Frühes Online-Datum6 Feb. 2024
PublikationsstatusVeröffentlicht - 13 Dez. 2024
Extern publiziertJa

Abstract

Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the quantum Hall effect. These effects can be combined to derive a gravitational analogue of the quantum/electric metrological triangle. The gravitational metrological triangle may have applications in metrology and could be used to investigate the relation of the Planck constant to fundamental particle masses. This allows for quantum tests of the Weak Equivalence Principle. Moreover, the similarity of the gravitational and the quantum/electrical metrological triangle can be used to test the universality of quantum mechanics.

ASJC Scopus Sachgebiete

Zitieren

Gravitational Metrological Triangle. / Ulbricht, Sebastian; Lämmerzahl, Claus.
in: Physical Review Letters, Jahrgang 133, Nr. 24, 241402, 13.12.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ulbricht S, Lämmerzahl C. Gravitational Metrological Triangle. Physical Review Letters. 2024 Dez 13;133(24):241402. Epub 2024 Feb 6. doi: 10.1103/PhysRevLett.133.241402
Ulbricht, Sebastian ; Lämmerzahl, Claus. / Gravitational Metrological Triangle. in: Physical Review Letters. 2024 ; Jahrgang 133, Nr. 24.
Download
@article{f6388d627bb24b699a0413a7d9783397,
title = "Gravitational Metrological Triangle",
abstract = " Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the quantum Hall effect. These effects can be combined to derive a gravitational analogue of the quantum/electric metrological triangle. The gravitational metrological triangle may have applications in metrology and could be used to investigate the relation of the Planck constant to fundamental particle masses. This allows for quantum tests of the Weak Equivalence Principle. Moreover, the similarity of the gravitational and the quantum/electrical metrological triangle can be used to test the universality of quantum mechanics. ",
keywords = "gr-qc, quant-ph",
author = "Sebastian Ulbricht and Claus L{\"a}mmerzahl",
note = "Publisher Copyright: {\textcopyright} 2024 American Physical Society.",
year = "2024",
month = dec,
day = "13",
doi = "10.1103/PhysRevLett.133.241402",
language = "English",
volume = "133",
journal = "Physical Review Letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "24",

}

Download

TY - JOUR

T1 - Gravitational Metrological Triangle

AU - Ulbricht, Sebastian

AU - Lämmerzahl, Claus

N1 - Publisher Copyright: © 2024 American Physical Society.

PY - 2024/12/13

Y1 - 2024/12/13

N2 - Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the quantum Hall effect. These effects can be combined to derive a gravitational analogue of the quantum/electric metrological triangle. The gravitational metrological triangle may have applications in metrology and could be used to investigate the relation of the Planck constant to fundamental particle masses. This allows for quantum tests of the Weak Equivalence Principle. Moreover, the similarity of the gravitational and the quantum/electrical metrological triangle can be used to test the universality of quantum mechanics.

AB - Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the quantum Hall effect. These effects can be combined to derive a gravitational analogue of the quantum/electric metrological triangle. The gravitational metrological triangle may have applications in metrology and could be used to investigate the relation of the Planck constant to fundamental particle masses. This allows for quantum tests of the Weak Equivalence Principle. Moreover, the similarity of the gravitational and the quantum/electrical metrological triangle can be used to test the universality of quantum mechanics.

KW - gr-qc

KW - quant-ph

UR - http://www.scopus.com/inward/record.url?scp=85212447608&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.133.241402

DO - 10.1103/PhysRevLett.133.241402

M3 - Article

VL - 133

JO - Physical Review Letters

JF - Physical Review Letters

SN - 1079-7114

IS - 24

M1 - 241402

ER -