Coherent multipath wave response on Reissner-Nordström analogue surface
Abstract
To uncover how the intrinsic metric of a relativistic compact object governs macroscopic wave phenomena, we establish a theoretical framework mapping the charge dependent spatial geometry of a Reissner-Nordström (RN) black hole onto the coherent response of an analogue curved surface. By solving an exact spatial geodesic boundary value problem on an isometrically embedded equatorial slice, we extract the discrete multi-loop path-length spectrum and convert this geometric backbone into a physical wave field via a finite-path surface Huygens-Fresnel construction. We analytically compute the arbitrary order winding trajectories alongside their high winding accumulation limits, demonstrating that the analogue charge acts as a precise physical dial that reconfigures the event horizon throat and fundamentally reorganizes the discrete path sequence. Furthermore, we find that this underlying geometric deformation uniquely dictates the macroscopic interference, revealing that steady state spatial fringes, spectral resonance combs, and transient temporal echo ladders are intrinsically unified physical projections of a single charge controlled path spectrum. This systematic parameter to response methodology establishes a rigorous theoretical bridge between strong field gravitational lensing and tabletop transformation optics, providing a highly tunable blueprint for future multi domain analogue gravity experiments.
Related
- Nonoscillatory gravitational quasinormal modes of Reissner–Nordström–de Sitter spacetime
- Reissner-Nordstrom in the Bertotti-Robinson-Bonnor-Melvin electromagnetic field
- Stochastic motion of massless particles near event horizons in Schwarzschild and Reissner-Nordström spacetimes
- Flexible numerical characteristic gluing to extremal Reissner-Nordström black holes
- Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
BibTeX
@misc{chen2026coherent,
title = {{Coherent multipath wave response on Reissner-Nordström analogue surface}},
author = {Peng-Yu Chen and Sen Guo and Qing-Quan Jiang and Yu Liang and Kai Lin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05534},
eprint = {2609.05534},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05534},
}
RIS
TY - UNPB
TI - Coherent multipath wave response on Reissner-Nordström analogue surface
AU - Peng-Yu Chen
AU - Sen Guo
AU - Qing-Quan Jiang
AU - Yu Liang
AU - Kai Lin
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.05534
UR - https://arxiv.org/abs/2609.05534
AB - To uncover how the intrinsic metric of a relativistic compact object governs macroscopic wave phenomena, we establish a theoretical framework mapping the charge dependent spatial geometry of a Reissner-Nordström (RN) black hole onto the coherent response of an analogue curved surface. By solving an exact spatial geodesic boundary value problem on an isometrically embedded equatorial slice, we extract the discrete multi-loop path-length spectrum and convert this geometric backbone into a physical wave field via a finite-path surface Huygens-Fresnel construction. We analytically compute the arbitrary order winding trajectories alongside their high winding accumulation limits, demonstrating that the analogue charge acts as a precise physical dial that reconfigures the event horizon throat and fundamentally reorganizes the discrete path sequence. Furthermore, we find that this underlying geometric deformation uniquely dictates the macroscopic interference, revealing that steady state spatial fringes, spectral resonance combs, and transient temporal echo ladders are intrinsically unified physical projections of a single charge controlled path spectrum. This systematic parameter to response methodology establishes a rigorous theoretical bridge between strong field gravitational lensing and tabletop transformation optics, providing a highly tunable blueprint for future multi domain analogue gravity experiments.
ER -