Quantum-gravitational backreaction in the BTZ background from curved momentum space
Year: 2026
Type: article
Abstract: We explore how quantum properties of spacetime-specifically the curvature of momentum space-can backreact on classical gravity within a tractable semiclassical ( 2 + 1 ) -dimensional framework with negative cosmological constant. Motivated by quantum-gravity scenarios, we investigate how Planck-scale modifications of particle kinematics influence both dynamics and gravitational solutions. Starting from a first-order action, we derive an effective configuration-space description and show that particle trajectories remain geodesic, preserving the weak equivalence principle despite the underlying deformation. Coupling this modified matter sector to Einstein gravity, we obtain a deformed BTZ black hole solution. Remarkably, the local geometric structure and thermodynamic relations retain their standard form, while all quantum-gravity effects are encoded in a nonlinear mapping between the microscopic mass parameter and the ADM mass. This induces a renormalization of the horizon radius and thermodynamic quantities without altering their functional dependence. As a concrete observable consequence, we compute corrections to the return time of massless probes traveling along null geodesics between the horizon and the AdS 3 boundary. Our results demonstrate that Planck-scale kinematic effects can leave controlled and potentially measurable imprints on classical geometry, providing a clear and consistent bridge between quantum gravity ideas and semiclassical observables.
Source: Classical and Quantum Gravity
Authors: Partha Nandi, Mainak Roy, Langa Horoto, Frederik G Scholtz, Biswajit Chakraborty
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,325
Funder: Universiteit Stellenbosch
OpenAlex ID: W4414755219
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