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Influence of quantum decoherence on black hole shadow visibility and time domain echoes

Abstract

The geometric shadow of a black hole cannot observationally distinguish horizonless exotic compact objects. We break this degeneracy by mapping the fundamental quantum decoherence of the horizon (the Danielson-Satishchandran-Wald mechanism) into a macroscopic effective reflectivity ℛ. Utilizing Kerr ray tracing, we show that a partially reflective boundary (ℛ>0) generates delayed electromagnetic echoes under both specular and diffuse (Lambertian) conditions. In the spatial domain, these echoes illuminate the inner shadow and alter low-frequency visibilities, while leaving metric-governed photon subrings unchanged. The signal strength scales with the membrane compactness ε as εΓ, where Γ=0 for specular reflection and Γ→1 for diffuse re-emission due to escape-cone collapse. This brings specular reflectivities down to ℛ≃0.12 (ngEHT) and $0.04$ (BHEX) within reach of static imaging. For Sagittarius A∗, we translate these echoes into a robust time-domain signature. Using an Autocorrelation Function (ACF) pipeline, we demonstrate that single-flare echoes can be cleanly extracted from severe accretion red noise, achieving a 3σ detection for amplitudes 𝒜≳0.3 within 15 to 33 hours of continuous monitoring. This framework provides a directly deployable pathway to test black hole unitarity.

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BibTeX
@misc{guo2026influence,
  title = {{Influence of quantum decoherence on black hole shadow visibility and time domain echoes}},
  author = {Sen Guo and Xin Li and Yu Liang and Kai Lin and Li-Fang Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03762},
  eprint = {2610.03762},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03762},
}
RIS
TY  - UNPB
TI  - Influence of quantum decoherence on black hole shadow visibility and time domain echoes
AU  - Sen Guo
AU  - Xin Li
AU  - Yu Liang
AU  - Kai Lin
AU  - Li-Fang Li
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.03762
UR  - https://arxiv.org/abs/2610.03762
AB  - The geometric shadow of a black hole cannot observationally distinguish horizonless exotic compact objects. We break this degeneracy by mapping the fundamental quantum decoherence of the horizon (the Danielson-Satishchandran-Wald mechanism) into a macroscopic effective reflectivity ℛ. Utilizing Kerr ray tracing, we show that a partially reflective boundary (ℛ>0) generates delayed electromagnetic echoes under both specular and diffuse (Lambertian) conditions. In the spatial domain, these echoes illuminate the inner shadow and alter low-frequency visibilities, while leaving metric-governed photon subrings unchanged. The signal strength scales with the membrane compactness ε as ε^Γ, where Γ=0 for specular reflection and Γ→1 for diffuse re-emission due to escape-cone collapse. This brings specular reflectivities down to ℛ≃0.12 (ngEHT) and $0.04$ (BHEX) within reach of static imaging. For Sagittarius A^∗, we translate these echoes into a robust time-domain signature. Using an Autocorrelation Function (ACF) pipeline, we demonstrate that single-flare echoes can be cleanly extracted from severe accretion red noise, achieving a 3σ detection for amplitudes 𝒜≳0.3 within 15 to 33 hours of continuous monitoring. This framework provides a directly deployable pathway to test black hole unitarity.
ER  -