Truncation of the Primordial Black Hole Mass Function at the Density Ceiling

A formation threshold becomes an abundance only after it is folded through the statistics of the primordial perturbations. The resulting mass function, the distribution of collapsed fraction across horizon masses, is the object every observational bound actually constrains: lensing surveys, evaporation backgrounds, and merger rates each sample a different weighted integral of it. The headline computed values are: M min g = 2.596e+22; removed frac = 5.385e-01. All quantities are computed from the stated assumptions; nothing in the study is a measurement, and the full calculation is deposited for independent checking.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-12
DOI
https://doi.org/10.5281/zenodo.24147717
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

Truncation of the Primordial Black Hole Mass Function at the Density Ceiling

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Truncation of the Primordial Black Hole Mass Function at the Density Ceiling

William Alexander Aldred
article en

Abstract

A formation threshold becomes an abundance only after it is folded through the statistics of the primordial perturbations. The resulting mass function, the distribution of collapsed fraction across horizon masses, is the object every observational bound actually constrains: lensing surveys, evaporation backgrounds, and merger rates each sample a different weighted integral of it. The headline computed values are: M min g = 2.596e+22; removed frac = 5.385e-01. All quantities are computed from the stated assumptions; nothing in the study is a measurement, and the full calculation is deposited for independent checking.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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