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
- William Alexander Aldred (ORCID: https://orcid.org/0009-0000-1215-577X)
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