Zero-Point Energy of a Scalar Field in q-Deformed Euclidean Space

2026/01/10 by Hartmut Wachter · 1 voice
Physics and Astronomy · #physics.gen-ph #math-ph

paper · pdf

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.

Discussions

• Hartmut Wachter: Zero-Point Energy of a Scalar Field in $q$-Deformed Euclidean Space https://arxiv.org/abs/2601.07869 https://arxiv.org/pdf/2601.07869 https://arxiv.org/html/2601.07869 [bsky, 0 points, 0 comments]

Related

• Vacuum energy and relativistic invariance
• On the Casimir energy of a massive scalar field in positive curvature space
• Vacuum energies on spheres and in cubes
• The vacuum energy with non-ideal boundary conditions via an approximate functional equation
• Vacuum energy for a scalar field with self-interaction in (1+1) dimensions