Femtolensing of Gamma-Ray Bursts as a Limit on Low-Mass Primordial Black Holes

Between the evaporation window and the microlensing window lies a mass range, roughly ten to the seventeenth to ten to the twentieth grams, where a primordial black hole is too heavy to have evaporated and too light to lens starlight measurably. Wave optics offers one handle on that range: a gamma-ray burst lensed by such an object does not split into resolvable images, but the two unresolved paths interfere, imprinting an oscillatory fringe pattern on the burst's energy spectrum. The headline computed values are: strongest stated f = 0.08; window g = 1e17-1e20. The work is computational throughout: assumptions are stated, the arithmetic is deposited, and no result is presented as a measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-12
DOI
https://doi.org/10.5281/zenodo.24147670
Primary Topic
Dark Matter and Cosmic Phenomena
Type
article
Field-Weighted Citation Impact
0.00
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article

Femtolensing of Gamma-Ray Bursts as a Limit on Low-Mass Primordial Black Holes

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
article

Femtolensing of Gamma-Ray Bursts as a Limit on Low-Mass Primordial Black Holes

William Alexander Aldred
article en

Abstract

Between the evaporation window and the microlensing window lies a mass range, roughly ten to the seventeenth to ten to the twentieth grams, where a primordial black hole is too heavy to have evaporated and too light to lens starlight measurably. Wave optics offers one handle on that range: a gamma-ray burst lensed by such an object does not split into resolvable images, but the two unresolved paths interfere, imprinting an oscillatory fringe pattern on the burst's energy spectrum. The headline computed values are: strongest stated f = 0.08; window g = 1e17-1e20. The work is computational throughout: assumptions are stated, the arithmetic is deposited, and no result is presented as a measurement.

Zenodo (CERN European Organization for Nuclear Research)
Dark Matter and Cosmic Phenomena
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