dorsal/arxiv
View SchemaZero-Point Energy of a Scalar Field in $q$-Deformed Euclidean Space
| Authors | Hartmut Wachter |
|---|---|
| Categories | |
| ArXiv ID | 2601.07869vv1 |
| URL | https://arxiv.org/abs/2601.07869 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We examine the energy of a scalar field in its ground state within $q$-deformed Euclidean space. Specifically, we compute the total vacuum energy of the entire $q$-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 $q$-deformed Euclidean space, we find that the vacuum energy density can assume significant values.
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"abstract": "We examine the energy of a scalar field in its ground state within $q$-deformed Euclidean space. Specifically, we compute the total vacuum energy of the entire $q$-deformed Euclidean space, originating from the scalar field\u0027s 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 $q$-deformed Euclidean space, we find that the vacuum energy density can assume significant values.",
"arxiv_id": "2601.07869",
"authors": [
"Hartmut Wachter"
],
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Zero-Point Energy of a Scalar Field in $q$-Deformed Euclidean Space",
"url": "https://arxiv.org/abs/2601.07869",
"version": "v1"
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