Geometric Stabilization of the Electroweak Vacuum in the Zhang Effective Metric

The discovery of the Higgs boson with a mass of 125 GeV implies that the Standard Model electroweak vacuum is metastable, potentially decaying via quantum tunneling at a scale of ~10¹¹ GeV. The longevity of our universe remains a profound theoretical puzzle. In this paper, we demonstrate that within the rotational-order geometric unification framework based on the Zhang Effective Metric, higher-dimensional curvature and internal topological torsion provide positive-definite geometric corrections to the Higgs effective potential. While negligible at low energies, these geometric terms grow dominantly at the instability scale, precisely canceling the negative top-quark running and ensuring absolute vacuum stability up to the Planck scale. This framework resolves the metastability crisis without invoking new light scalar fields or low-energy supersymmetry, and guarantees a vacuum decay rate vastly suppressed compared to the Hubble expansion rate.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23803295
Primary Topic
Particle physics theoretical and experimental studies
Type
preprint
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preprint

Geometric Stabilization of the Electroweak Vacuum in the Zhang Effective Metric

Xiangdong Zhang
2 links
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Geometric Stabilization of the Electroweak Vacuum in the Zhang Effective Metric

Xiangdong Zhang
preprint en

Abstract

The discovery of the Higgs boson with a mass of 125 GeV implies that the Standard Model electroweak vacuum is metastable, potentially decaying via quantum tunneling at a scale of ~10¹¹ GeV. The longevity of our universe remains a profound theoretical puzzle. In this paper, we demonstrate that within the rotational-order geometric unification framework based on the Zhang Effective Metric, higher-dimensional curvature and internal topological torsion provide positive-definite geometric corrections to the Higgs effective potential. While negligible at low energies, these geometric terms grow dominantly at the instability scale, precisely canceling the negative top-quark running and ensuring absolute vacuum stability up to the Planck scale. This framework resolves the metastability crisis without invoking new light scalar fields or low-energy supersymmetry, and guarantees a vacuum decay rate vastly suppressed compared to the Hubble expansion rate.

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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