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Gaussian Models for Observed Dispersion in High Redshift Gamma Ray Bursts
| Content Provider | CiteSeerX |
|---|---|
| Author | Adams, Ryan S. Daneshvar, Kasra Weldon, Thomas P. |
| Abstract | Abstract—Astronomical observations of gamma-ray bursts commonly exhibit dispersive behavior where high-energy gamma rays arrive significantly later than low-energy photons. Although certain quantum gravity theories suggest such dispersion, the underlying mechanisms are not yet fully understood. Nevertheless, a quadratic polynomial model has been proposed for the frequency-dependent photon velocity. Substituting this model into the Helmholtz equation then leads to a number of candidate forms of the underlying differential equations, where additional terms in the Maxwell equations model the observed dispersion. Unfortunately, this quadratic dispersion model results in unusual behavior such as superluminal velocity. Therefore, a new Gaussian dispersion model is also proposed. This Gaussian model closely approximates the quadratic model at low frequencies while avoiding the superluminal behavior of quadratic models. I. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Superluminal Behavior Dispersive Behavior Additional Term Quadratic Dispersion Model Result Superluminal Velocity Abstract Astronomical Observation High Redshift Gamma Ray Burst New Gaussian Dispersion Model Helmholtz Equation Observed Dispersion Quadratic Model Unusual Behavior Gaussian Model Low-energy Photon Gamma-ray Burst Underlying Differential Equation Maxwell Equation Candidate Form Certain Quantum Gravity Theory Frequency-dependent Photon Velocity Quadratic Polynomial Model Low Frequency Underlying Mechanism High-energy Gamma Ray |
| Content Type | Text |
