https://doi.org/10.1140/epjc/s10052-025-15256-w
Regular Article - Theoretical Physics
Testing complexity to diagnose wormholes existence: static and spherically symmetric case
1
Department of Mathematics, College of Science, University of Ha’il, 2440, Ha’il, Saudi Arabia
2
Institute of Mathematics, University of the Punjab, 54590, Lahore, Pakistan
3
Institute of Energy & Environmental Engineering, University of the Punjab, Lahore, Pakistan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
20
November
2025
Accepted:
20
December
2025
Published online:
20
January
2026
Abstract
In this paper, we examine static and spherically symmetric wormhole solutions in the context of Einstein–Cartan gravity, incorporating quantum corrections through the Casimir energy density as a matter source. To investigate the impact of quantum gravitational features, we apply the Generalized Uncertainty Principle (GUP), using the Dentournay, Gabriel, and Spindel (DGS) and Kempf, Mangano, and Mann (KMM) two GUP techniques. These GUP formalisms are implemented into the Casimir energy profile to investigate their effects on the wormhole geometry and matter content. We discuss the conservation equation, analyze the behavior of the null energy condition, and calculate the active gravitational mass to explore the physical acceptability of the wormhole solutions. In addition, we examine the complexity factor to describe the anisotropic character of the matter distribution filling the wormhole. The findings of this study demonstrate that GUP-induced corrections have a significant impact on the energy conditions, gravitational mass distribution, and structural complexity of the wormhole, indicating that Einstein–Cartan gravity, when incorporated with quantum vacuum effects, is capable of sustaining traversable wormhole geometries.
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
