A New Approach to Statistics of Cosmological Gamma‐Ray Bursts

M. Bottcher; C. D. Dermer

doi:10.1086/308285

Erratum: A New Approach to Statistics of Cosmological Gamma‐Ray Bursts

The Astrophysical Journal ◽

10.1086/308944 ◽

2000 ◽

Vol 536 (1) ◽

pp. 513-513

Author(s):

M. Bottcher ◽

C. D. Dermer

Keyword(s):

Gamma Ray ◽

Gamma Ray Bursts ◽

New Approach

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ALLEGRO: A new approach to gamma-ray bursts

10.1063/1.51603 ◽

1996 ◽

Author(s):

S. M. Matz ◽

D. A. Grabelsky ◽

W. R. Purcell ◽

M. P. Ulmer ◽

G. N. Pendleton ◽

...

Keyword(s):

Gamma Ray ◽

Gamma Ray Bursts ◽

New Approach

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WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS

International Journal of Modern Physics A ◽

10.1142/s0217751x00002779 ◽

2000 ◽

Vol 15 (27) ◽

pp. 4301-4323 ◽

Cited By ~ 60

Author(s):

GIOVANNI AMELINO-CAMELIA ◽

SHAHN MAJID

Keyword(s):

Fourier Transform ◽

Gamma Ray ◽

Space Time ◽

Gamma Ray Bursts ◽

Noncommutative Space ◽

Experimental Investigations ◽

Cpt Violation ◽

New Approach ◽

Minkowski Space Time ◽

Group Fourier Transform

Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski space–time [xi, t]=ιλxi. A natural wave equation is derived and the associated phenomena of in vacuo dispersion are discussed. Assuming the deformation scale λ is of the order of the Planck length one finds that the dispersion effects are large enough to be tested in experimental investigations of astrophysical phenomena such as gamma-ray bursts. We also outline a new approach to the construction of field theories on the noncommutative space–time, with the noncommutativity equivalent under Fourier transform to non-Abelianness of the "addition law" for momentum in Feynman diagrams. We argue that CPT violation effects of the type testable using the sensitive neutral-kaon system are to be expected in such a theory.

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A new approach to modelling gamma-ray burst afterglows: using Gaussian processes to account for the systematics

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/staa2297 ◽

2020 ◽

Vol 497 (4) ◽

pp. 4672-4683

Author(s):

M D Aksulu ◽

R A M J Wijers ◽

H J van Eerten ◽

A J van der Horst

Keyword(s):

Gaussian Processes ◽

Gamma Ray ◽

Gamma Ray Bursts ◽

New Approach ◽

Radiative Processes ◽

Microphysical Parameters ◽

Propagation Effects ◽

Recent Developments ◽

Source Of Information ◽

Over Time

ABSTRACT The afterglow emission from gamma-ray bursts (GRBs) is a valuable source of information to understand the physics of these energetic explosions. The fireball model has become the standard to describe the evolution of the afterglow emission over time and frequency. Because of recent developments in the theory of afterglows and numerical simulations of relativistic outflows, we are able to model the afterglow emission with realistic dynamics and radiative processes. Although the models agree with observations remarkably well, the afterglow emission still contains additional physics, instrumental systematics, and propagation effects that make the modelling of these events challenging. In this work, we present a new approach to modelling GRB afterglows, using Gaussian processes (GPs) to take into account systematics in the afterglow data. We show that, using this new approach, it is possible to obtain more reliable estimates of the explosion and microphysical parameters of GRBs. We present fit results for five long GRBs and find a preliminary correlation between the isotropic energetics and opening angles of GRBs, which confirms the idea of a common energy reservoir for the kinetic energy of long GRBs.

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