What a Litre of Vacuum Would Weigh: Mass Equivalents of Zero-Point Densities From a Bottle to the Observable Universe

Vacuum energy densities are usually left in energy units, where their sizes resist intuition. This paper converts three densities, the Planck-cutoff zero-point estimate, the electroweak-cutoff estimate, and the observed density of 2.52 x 10^-47 GeV^4, into gravitating mass equivalents inside four volumes from one litre to the observable universe. At the Planck cutoff, a litre of vacuum would carry a mass equivalent of 3.25 x 10^91 kilograms, about 5.45 x 10^66 Earth masses; at the observed density the same litre carries 5.85 x 10^-30 kilograms. The conversion is exact arithmetic from stated densities and is offered as a calibration of the vacuum hierarchy, not as a measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24123785
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

What a Litre of Vacuum Would Weigh: Mass Equivalents of Zero-Point Densities From a Bottle to the Observable Universe

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

What a Litre of Vacuum Would Weigh: Mass Equivalents of Zero-Point Densities From a Bottle to the Observable Universe

William Alexander Aldred
article en

Abstract

Vacuum energy densities are usually left in energy units, where their sizes resist intuition. This paper converts three densities, the Planck-cutoff zero-point estimate, the electroweak-cutoff estimate, and the observed density of 2.52 x 10^-47 GeV^4, into gravitating mass equivalents inside four volumes from one litre to the observable universe. At the Planck cutoff, a litre of vacuum would carry a mass equivalent of 3.25 x 10^91 kilograms, about 5.45 x 10^66 Earth masses; at the observed density the same litre carries 5.85 x 10^-30 kilograms. The conversion is exact arithmetic from stated densities and is offered as a calibration of the vacuum hierarchy, not as a measurement.

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