The Volume of a Capped Interior: Linear Growth in Mass Instead of Cubic Growth in Radius
Year: 2026
Type: article
Abstract: For ten solar masses the capped volume is 2.046e-27 cubic metres against a horizon ball of 1.079e+14 cubic metres, a ratio of 1.896e-41. For a billion solar masses the capped volume reaches 2.046e-19 cubic metres yet the ratio falls to 1.896e-57. The capped volume grows linearly with mass while the horizon ball grows with the cube of mass, so the interior is, in this precise sense, mostly not at the cap: the ceiling governs a small central region and the rest of the interior lies at lower densities. This reframes the interior problem. Computed from stated assumptions, not measured.
Author: Aldred, William Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225779508
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