Quantum gravitodiamagnetic interaction

• URL: http://arxiv.org/abs/2603.27180v1
• Date: Sat, 28 Mar 2026 07:37:22 GMT
• Title: Quantum gravitodiamagnetic interaction
• Abstract summary: We investigate the quantum gravitational interaction induced by the gravitodiamagnetic coupling of two massive objects to vacuum fluctuations of the gravitational field.<n>For a spherically symmetric gravitational hydrogen-like system in its ground state, the induced quadrupole moment has the opposite sign to the applied gravitomagnetic field.
• Score: 6.2534977470785655
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the framework of linearized quantum gravity, we investigate the quantum gravitational interaction induced by the gravitodiamagnetic coupling of two massive objects to vacuum fluctuations of the gravitational field. Starting from the Lagrangian of a particle in a gravitational field and employing the formalism of Weyl gravitoelectromagnetism, we derive the interaction Hamiltonian associated with gravitodiamagnetic coupling. Unlike the linear couplings that arise in gravitoelectric and gravitomagnetic interactions, the gravitodiamagnetic coupling depends quadratically on the gravitomagnetic field. Based on this Hamiltonian, we show that, for a spherically symmetric gravitational hydrogen-like system in its ground state, the induced quadrupole moment has the opposite sign to the applied gravitomagnetic field, which is the defining signature of gravitodiamagnetism. Using leading-order perturbation theory, we further obtain an explicit expression for the resulting interaction potential, which is attractive and scales as $r^{-11}$ at all separations, where $r$ denotes the distance between the two objects.

Related papers

• A post-Newtonian Gravitational Collapse Model from Linearized Gravity [0.38233569758620045]
  We introduce a general gravity-related collapse mechanism based on linearized gravity.<n>An effective coupling between the gravitoelectric potential and the mass density distribution is shown.<n>Additional collapse mechanisms emerge for rotational degrees of freedom as well as for mixed mass-magnet contributions.
  arXiv  Detail & Related papers  (2026-05-12T14:18:18Z)
• Photon-graviton polarization entanglement induced by a classical electromagnetic wave [51.56484100374058]
  We study the photon-graviton pair production induced by the propagation of a classical electromagnetic wave in a Minkowskian spacetime.<n>We analyze the time evolution of the quantum state showing that, among other outcomes, the propagation of the EM wave can generate Bell states in the photon-graviton polarization basis.
  arXiv  Detail & Related papers  (2026-01-29T21:21:00Z)
• Repulsive Inverse-Distance Interatomic Interaction from Many-Body Quantum Electrodynamics [39.27725073249277]
  We show a persistent inverse-distance MB-QED interaction stemming from the coupling between virtual photons and molecular plasmons.<n>Although weaker than vdW forces, this MB-QED $R-1$ interaction may substantially surpass gravitational attraction in future experiments.
  arXiv  Detail & Related papers  (2025-11-11T10:08:26Z)
• Gravitational redshift via quantized linear gravity [44.99833362998488]
  We employ linearized quantum gravity to show that gravitational redshift occurs as a purely quantum process.<n>Redshift occurs as predicted by general relativity but arises in flat spacetime in the absence of curvature.<n>Results can help improve our understanding of the quantum nature of gravity in the low energy and low curvature regime.
  arXiv  Detail & Related papers  (2025-04-04T21:44:34Z)
• Repulsive quantum gravitoelectric-gravitomagnetic interaction [0.24578723416255752]
  We investigate the quantum gravitational interaction between a gravitoelectrically polarizable object and a gravitomagnetically polarizable object.<n>For two isotropically polarizable objects with identical gravitoelectric and gravitomagnetic polarizabilities and energy level spacing, the repulsive quantum interaction cannot surpass the attractive interactions.
  arXiv  Detail & Related papers  (2025-01-05T07:44:08Z)
• Quantum gravitomagnetic interaction [0.24578723416255752]
  We study the quantum gravitational interaction between two nonpointlike objects induced by fluctuating gravitomagnetic fields in vacuum. This interaction originates from the interaction between the instantaneous localized mass currents in nonpointlike objects.
  arXiv  Detail & Related papers  (2024-06-25T09:25:04Z)
• The quantum Hall effect under the influence of gravity and inertia: A unified approach [44.99833362998488]
  We examine how both the integer and the fractional quantum Hall effects behave under a combined influence of gravity and inertia. The general Hamiltonian for describing the combined effect of gravity, rotation and inertia on the electrons of a Hall sample is then built and the eigenstates are obtained.
  arXiv  Detail & Related papers  (2024-03-11T18:01:55Z)
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution [62.997667081978825]
  relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
  arXiv  Detail & Related papers  (2021-11-30T14:46:00Z)
• Gravitational waves affect vacuum entanglement [68.8204255655161]
  The entanglement harvesting protocol is an operational way to probe vacuum entanglement. Using this protocol, it is demonstrated that while the transition probability of an individual atom is unaffected by the presence of a gravitational wave, the entanglement harvested by two atoms depends sensitively on the frequency of the gravitational wave. This suggests that the entanglement signature left by a gravitational wave may be useful in characterizing its properties, and potentially useful in exploring the gravitational-wave memory effect and gravitational-wave induced decoherence.
  arXiv  Detail & Related papers  (2020-06-19T18:01:04Z)
• Quantum gravitational interaction between two objects induced by external gravitational radiation fields [0.12891210250935145]
  We study the induced gravitational interaction between two gravitationally polarizable objects in their ground states in the presence of an external quantized gravitational radiation field. The interaction can be either attractive or repulsive depending on the propagation direction, polarization and frequency of the external gravitational field.
  arXiv  Detail & Related papers  (2020-06-11T12:04:35Z)
• General quantum-mechanical solution for twisted electrons in a uniform magnetic field [68.8204255655161]
  A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted.
  arXiv  Detail & Related papers  (2020-05-13T16:35:10Z)
• Resonance interaction between two entangled gravitational polarizable objects [0.11470070927586014]
  We investigate the resonance quadrupole-quadrupole interaction between two entangled gravitationally polarizable objects. The interaction energy behaves as $r-5$ in the near regime, and oscillates with a decreasing amplitude proportional to $r-1$ in the far regime.
  arXiv  Detail & Related papers  (2020-01-15T03:15:05Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.