Zero-Point Energy of a Scalar Field in $q$-Deformed Euclidean Space
General Physics
2026-01-14 v1 Mathematical Physics
math.MP
Abstract
We examine the energy of a scalar field in its ground state within -deformed Euclidean space. Specifically, we compute the total vacuum energy of the entire -deformed Euclidean space, originating from the scalar field's ground-state energy. Our results show that, for a massless scalar field, the total vacuum energy vanishes. In contrast, when evaluating the average ground-state energy over finite, localized regions of the -deformed Euclidean space, we find that the vacuum energy density can assume significant values.
Cite
@article{arxiv.2601.07869,
title = {Zero-Point Energy of a Scalar Field in $q$-Deformed Euclidean Space},
author = {Hartmut Wachter},
journal= {arXiv preprint arXiv:2601.07869},
year = {2026}
}
Comments
59 pages, 4 figures