How Much Supercooling Survives a Maximum Density? Vacuum Domination Without Runaway

At a critical temperature of 100 GeV the vacuum density is only 8.38e-29 of the ceiling. Even complete vacuum domination in that epoch uses a negligible share of the permitted energy budget, and arbitrarily prolonged supercooling, were the tunnelling rate to allow it, would not bring the total near the bound. At a critical temperature of 10^8 GeV the share has risen to 8.38e-05, still small but twenty-four orders of magnitude larger, tracing the T^4 scaling. Only for critical temperatures within a few orders of magnitude of the ceiling temperature, 1.05e+09 GeV, does the vacuum share approach unity and the bounded budget become the operative constraint on how a supercooled history can be written. This study is simulated and computed from stated assumptions; it is not a measurement.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24145374
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

How Much Supercooling Survives a Maximum Density? Vacuum Domination Without Runaway

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

How Much Supercooling Survives a Maximum Density? Vacuum Domination Without Runaway

William Alexander Aldred
article en

Abstract

At a critical temperature of 100 GeV the vacuum density is only 8.38e-29 of the ceiling. Even complete vacuum domination in that epoch uses a negligible share of the permitted energy budget, and arbitrarily prolonged supercooling, were the tunnelling rate to allow it, would not bring the total near the bound. At a critical temperature of 10^8 GeV the share has risen to 8.38e-05, still small but twenty-four orders of magnitude larger, tracing the T^4 scaling. Only for critical temperatures within a few orders of magnitude of the ceiling temperature, 1.05e+09 GeV, does the vacuum share approach unity and the bounded budget become the operative constraint on how a supercooled history can be written. This study is simulated and computed from stated assumptions; it is not a measurement.

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