Details
| Original language | English |
|---|---|
| Article number | 104030 |
| Journal | Physical Review D |
| Volume | 110 |
| Issue number | 10 |
| Early online date | 14 Nov 2024 |
| Publication status | Published - Nov 2024 |
| Externally published | Yes |
Abstract
We study the weak equivalence principle in the context of modified dispersion relations, a prevalent approach to quantum gravity phenomenology. We find that generic modified dispersion relations violate the weak equivalence principle. The acceleration in general depends on the mass of the test body, unless the Hamiltonian is either 2-homogeneous in the test particles' 4-momenta or the corresponding Lagrangian differs from the homogeneous case by a total derivative only. The key ingredient of this calculation is a 3+1 decomposition of the parametrization-invariant relativistic test particle action derived from the dispersion relation. Additionally, we apply a perturbative expansion in the test particle's spatial velocity and the inverse speed of light. To quantify our result, we provide a general formula for the Eötvós factor of modified dispersion relations. As a specific example, we study the point-particle motion determined from the κ-Poincaré dispersion relation in the bi-cross-product basis. Comparing the ensuing nonvanishing Eötvós factor to recent data from the MICROSCOPE experiment, we obtain a bound of the model parameter Ξ^-1≥1015 GeV/c2.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 110, No. 10, 104030, 11.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Weak equivalence principle and nonrelativistic limit of general dispersion relations
AU - Hohmann, Manuel
AU - Pfeifer, Christian
AU - Wagner, Fabian
N1 - Publisher Copyright: © 2024 American Physical Society.
PY - 2024/11
Y1 - 2024/11
N2 - We study the weak equivalence principle in the context of modified dispersion relations, a prevalent approach to quantum gravity phenomenology. We find that generic modified dispersion relations violate the weak equivalence principle. The acceleration in general depends on the mass of the test body, unless the Hamiltonian is either 2-homogeneous in the test particles' 4-momenta or the corresponding Lagrangian differs from the homogeneous case by a total derivative only. The key ingredient of this calculation is a 3+1 decomposition of the parametrization-invariant relativistic test particle action derived from the dispersion relation. Additionally, we apply a perturbative expansion in the test particle's spatial velocity and the inverse speed of light. To quantify our result, we provide a general formula for the Eötvós factor of modified dispersion relations. As a specific example, we study the point-particle motion determined from the κ-Poincaré dispersion relation in the bi-cross-product basis. Comparing the ensuing nonvanishing Eötvós factor to recent data from the MICROSCOPE experiment, we obtain a bound of the model parameter Ξ^-1≥1015 GeV/c2.
AB - We study the weak equivalence principle in the context of modified dispersion relations, a prevalent approach to quantum gravity phenomenology. We find that generic modified dispersion relations violate the weak equivalence principle. The acceleration in general depends on the mass of the test body, unless the Hamiltonian is either 2-homogeneous in the test particles' 4-momenta or the corresponding Lagrangian differs from the homogeneous case by a total derivative only. The key ingredient of this calculation is a 3+1 decomposition of the parametrization-invariant relativistic test particle action derived from the dispersion relation. Additionally, we apply a perturbative expansion in the test particle's spatial velocity and the inverse speed of light. To quantify our result, we provide a general formula for the Eötvós factor of modified dispersion relations. As a specific example, we study the point-particle motion determined from the κ-Poincaré dispersion relation in the bi-cross-product basis. Comparing the ensuing nonvanishing Eötvós factor to recent data from the MICROSCOPE experiment, we obtain a bound of the model parameter Ξ^-1≥1015 GeV/c2.
UR - http://www.scopus.com/inward/record.url?scp=85209656193&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.110.104030
DO - 10.1103/PhysRevD.110.104030
M3 - Article
VL - 110
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 10
M1 - 104030
ER -