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Gravitational Metrological Triangle.
Claus Lämmerzahl1,2, Sebastian Ulbricht3,4
1<a href="https://ror.org/04ers2y35">Center of Applied Space Technology and Microgravity ZARM</a>, University of Bremen, Am Fallturm, 28359 Bremen, Germany.
Physical Review Letters
|January 3, 2025
Summary
Gravitational analogs of quantum effects like the Josephson and quantum Hall effects were discovered. These enable a gravitational quantum metrological triangle for testing quantum mechanics and the weak equivalence principle.
Area of Science:
- Theoretical physics
- Quantum gravity
- General relativity
Background:
- Mathematical similarities exist between general relativity (weak field limit) and Maxwell's electrodynamics.
- Quantum phenomena like the Josephson effect and quantum Hall effect have established metrological applications.
Purpose of the Study:
- To explore gravitational analogs of known quantum effects.
- To establish a gravitational quantum metrological triangle.
- To enable quantum tests of fundamental physics principles.
Main Methods:
- Leveraging the mathematical structural similarities between general relativity and electrodynamics.
- Developing theoretical frameworks for gravitational analogs of quantum phenomena.
- Combining these analogs to construct a gravitational metrological triangle.
Main Results:
- Identified gravitational analogs of the Josephson effect and the quantum Hall effect.
- Derived a gravitational analogue of the electric quantum metrological triangle.
- Established a framework for quantum tests of the weak equivalence principle.
Conclusions:
- The gravitational quantum metrological triangle offers new metrological applications.
- This framework can investigate the relationship between the Planck constant and particle masses.
- The study provides a method to test the universality of quantum mechanics by comparing gravitational and electric metrological triangles.
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