Minimal Length Effects on Keplerian Scattering and Gravitational Lensing
- URL: http://arxiv.org/abs/2604.01177v1
- Date: Wed, 01 Apr 2026 17:28:39 GMT
- Title: Minimal Length Effects on Keplerian Scattering and Gravitational Lensing
- Abstract summary: We study the impact of a minimal length, implied by generalized uncertainty principles and quantum gravity models, on scattering trajectories in the Kepler problem.<n>It is shown that these quantum-gravitational corrections lead to a reduction in the scattering angle.<n>These findings highlight potential observational signatures of minimal length scenarios in high-energy astrophysics and gravitational optics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the impact of a minimal length, implied by generalized uncertainty principles and quantum gravity models, on unbounded (scattering) trajectories in the Kepler problem. The analysis is based on the precession of the Hamilton vector, which serves as a sensitive probe of orbital perturbations. Within the framework of the deformed Heisenberg algebra, we derive the correction to the trajectory arising from minimal length effects. It is shown that these quantum-gravitational corrections lead to a reduction in the scattering angle. In particular, for massless particles such as photons, the quantization of space results in a weakening of the gravitational lensing effect. Using available experimental data from the observation of the Einstein ring, we estimate the deformation parameter and the corresponding minimal length for the electron and Mercury. These findings highlight potential observational signatures of minimal length scenarios in high-energy astrophysics and gravitational optics.
Related papers
- The Role of Geometric Analysis in Interferometer Design and Optimization for Gravitational Quantum Entanglement [0.6345523830122167]
The pursuit of a quantum theory of gravity remains one of the most enduring challenges in physics.<n>Recent proposals suggest that quantum entanglement between two massive particles may provide a pathway to probe the quantum nature of gravity.
arXiv Detail & Related papers (2026-08-26T21:41:39Z) - Microscopic Origins of Collapse Models: Decoherence from Graviton Bremsstrahlung [0.0]
Some collapse models proposed that gravitational effects cause the instability of mass distribution superpositions, leading to wave function collapse.<n>We analyze the behavior of a fermion in a spatial superposition under graviton emission.
arXiv Detail & Related papers (2026-05-13T03:41:18Z) - Quantum optomechanics of lossy bodies: general approach and structured squeezed vacuum effects [51.56484100374058]
We investigate the overall optomechanical force experienced by a macroscopic lossy object in free space under external quantum illumination.<n>By driving the scattering field with an anisotropic, multimode squeezed vacuum state, the spatial profile of the electromagnetic quantum fluctuations can be engineered to exhibit broken rotational symmetry.<n>We establish a general formalism for macroscopic quantum optomechanics that operates beyond the constraints of thermal equilibrium.
arXiv Detail & Related papers (2026-04-07T13:25:43Z) - An Operational Quantum Field Theoretic Model for Gravitationally Induced Entanglement [0.0]
We develop a quantum field-theoretic model of gravitationally induced entanglement between two massive objects in spatial superposition.<n>Using linearized quantum gravity in the static limit, we derive an effective Hamiltonian that induces entanglement between the field modes occupied by the masses.<n>We find that gravitationally induced entanglement leads to a decrease in visibility, consistent with previous nonrelativistic results.
arXiv Detail & Related papers (2025-03-26T18:00:00Z) - Table-top nanodiamond interferometer enabling quantum gravity tests [34.82692226532414]
We present a feasibility study for a table-top nanodiamond-based interferometer.
By relying on quantum superpositions of steady massive objects our interferometer may allow exploiting just small-range electromagnetic fields.
arXiv Detail & Related papers (2024-05-31T17:20:59Z) - Photon Counting Interferometry to Detect Geontropic Space-Time Fluctuations with GQuEST [31.114245664719455]
The GQuEST experiment uses tabletop-scale Michelson laser interferometers to probe for fluctuations in space-time.<n>We present a practicable interferometer design featuring a novel photon counting readout method that provides unprecedented sensitivity.
arXiv Detail & Related papers (2024-04-11T07:38:36Z) - Essential role of destructive interference in the gravitationally
induced entanglement [0.0]
The present paper analyzes the gravitationally induced entanglement as a pure interference effect.
The non-maximally entangled state can be extremely effective for experimental testing.
arXiv Detail & Related papers (2024-01-09T12:24:32Z) - Ultracold Neutrons in the Low Curvature Limit: Remarks on the
post-Newtonian effects [49.1574468325115]
We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime.
We calculate the next-to-leading order corrections to the neutron's energy spectrum.
While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
arXiv Detail & Related papers (2023-12-30T16:45:56Z) - Oscillating Fields, Emergent Gravity and Particle Traps [55.2480439325792]
We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description.
Remarkably, the action models the effects of general relativity on the motion of nonrelativistic particles, with the values of the emergent curvature and speed of light determined by the field spatial distribution and frequency.
arXiv Detail & Related papers (2023-10-03T18:00:02Z) - Non-Reciprocity in Photon Polarization based on direction of polarizer under Gravitational Fields [0.0]
We show that non-reciprocity in the photon polarization angle can arise by tailoring the quantization axis.
We propose an astronomical interferometer composed of satellites with the tailored quantization axis.
arXiv Detail & Related papers (2023-09-21T13:36:23Z) - Atomic diffraction from single-photon transitions in gravity and
Standard-Model extensions [49.26431084736478]
We study single-photon transitions, both magnetically-induced and direct ones, in gravity and Standard-Model extensions.
We take into account relativistic effects like the coupling of internal to center-of-mass degrees of freedom, induced by the mass defect.
arXiv Detail & Related papers (2023-09-05T08:51:42Z) - Gravitational effects on neutrino decoherence in Lense-Thirring metric [0.0]
We analyze gravity effects on neutrino wave packet decoherence.
We show that the characteristic coherence length of neutrino oscillation processes is nontrivially affected.
arXiv Detail & Related papers (2021-10-03T10:09:24Z) - Quantum nonlocality in extended theories of gravity [0.0]
We consider models for which the corrections to the Einstein-Hilbert action are quadratic in the curvature invariants.
We quantify nonlocal quantum correlations by means of the violation of the Clauser-Horne-Shimony-Holt inequality.
arXiv Detail & Related papers (2020-12-30T21:35:51Z) - Quantum probes for universal gravity corrections [62.997667081978825]
We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system.
We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure.
Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
arXiv Detail & Related papers (2020-02-13T19:35:07Z)
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.