Entropy of the Limit Remnant: How Much Disorder Survives Evaporation

At the remnant mass of 8.659e+10 kilograms the entropy is 1.989e+38 in units of Boltzmann's constant, or 2.870e+38 bits. A hole one hundred times heavier carries 1.989e+42 in the same units, ten thousand times more, displaying the quadratic law. A stellar-mass progenitor exceeds the remnant's budget by nearly forty orders of magnitude, so a remnant that stores everything must do so in degrees of freedom that the horizon entropy does not count, an extra assumption that should be stated as such rather than smuggled in. The value of the calculation is that it separates two claims that are often blurred. Computed from stated assumptions, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24125903
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
article

Entropy of the Limit Remnant: How Much Disorder Survives Evaporation

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
article

Entropy of the Limit Remnant: How Much Disorder Survives Evaporation

William Alexander Aldred
article en

Abstract

At the remnant mass of 8.659e+10 kilograms the entropy is 1.989e+38 in units of Boltzmann's constant, or 2.870e+38 bits. A hole one hundred times heavier carries 1.989e+42 in the same units, ten thousand times more, displaying the quadratic law. A stellar-mass progenitor exceeds the remnant's budget by nearly forty orders of magnitude, so a remnant that stores everything must do so in degrees of freedom that the horizon entropy does not count, an extra assumption that should be stated as such rather than smuggled in. The value of the calculation is that it separates two claims that are often blurred. Computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon