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PreprintCC BY 4.0arXiv

Redshift Identifiability from Gamma-Ray Burst Prompt Emission

  • Shu-Xu Yi
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Abstract

We examine which prompt-emission observables of gamma-ray bursts (GRBs) carry identifiable redshift information in realistic structured-jet scenarios. By examining the photon-level Lorentz and cosmological transformations, we demonstrate any spectral observable reflecting the dominant-patch emission and any temporal observable reflecting the co-moving frame physics in the jet suffers from the same z-θv degeneracy. The observable reflecting the absolute flux or count rate will also suffer from this z-θv degeneracy in a different form. Due to the large variation of the intrinsic luminosity, combining the observables in the above-mentioned three classes cannot break this degeneracy. However, we demonstrate that two other classes of observables contain the potential to break this degeneracy: (i)~central engine-imprinted time scales, (ii)~emission from out of the dominant patch.

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Cite

BibTeXRIS
BibTeX
@misc{yi2026redshift,
  title = {{Redshift Identifiability from Gamma-Ray Burst Prompt Emission}},
  author = {Shu-Xu Yi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00166},
  eprint = {2609.00166},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00166},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Redshift Identifiability from Gamma-Ray Burst Prompt Emission
AU  - Shu-Xu Yi
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00166
UR  - https://arxiv.org/abs/2609.00166
AB  - We examine which prompt-emission observables of gamma-ray bursts (GRBs) carry identifiable redshift information in realistic structured-jet scenarios. By examining the photon-level Lorentz and cosmological transformations, we demonstrate any spectral observable reflecting the dominant-patch emission and any temporal observable reflecting the co-moving frame physics in the jet suffers from the same z-θ_v degeneracy. The observable reflecting the absolute flux or count rate will also suffer from this z-θ_v degeneracy in a different form. Due to the large variation of the intrinsic luminosity, combining the observables in the above-mentioned three classes cannot break this degeneracy. However, we demonstrate that two other classes of observables contain the potential to break this degeneracy: (i)~central engine-imprinted time scales, (ii)~emission from out of the dominant patch.
ER  -