Geometric Suppression of Vacuum Energy in Rotational‑Order Geometry: A Partial Resolution to the Cosmological Constant Problem

We propose a geometric suppression mechanism for the vacuum energy within the rotational‑order unification framework. We show that the internal S³ orientation field modifies the high‑energy dispersion relation, acting as a natural topological cutoff. This geometric screening suppresses the high‑frequency contribution by approximately 116 orders of magnitude, reducing the vacuum energy from the Planck scale down to ~10⁻² eV. We explicitly acknowledge that this partial resolution leaves a remaining discrepancy of ~4 orders of magnitude, which likely requires additional topological or supersymmetric mechanisms. This work establishes a critical geometric stepping stone towards resolving the vacuum catastrophe.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23736799
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Geometric Suppression of Vacuum Energy in Rotational‑Order Geometry: A Partial Resolution to the Cosmological Constant Problem

Xiangdong Zhang
3 links
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Geometric Suppression of Vacuum Energy in Rotational‑Order Geometry: A Partial Resolution to the Cosmological Constant Problem

Xiangdong Zhang
preprint en

Abstract

We propose a geometric suppression mechanism for the vacuum energy within the rotational‑order unification framework. We show that the internal S³ orientation field modifies the high‑energy dispersion relation, acting as a natural topological cutoff. This geometric screening suppresses the high‑frequency contribution by approximately 116 orders of magnitude, reducing the vacuum energy from the Planck scale down to ~10⁻² eV. We explicitly acknowledge that this partial resolution leaves a remaining discrepancy of ~4 orders of magnitude, which likely requires additional topological or supersymmetric mechanisms. This work establishes a critical geometric stepping stone towards resolving the vacuum catastrophe.

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
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