Scalar Casimir Effect from Bilocal Correlations in a Wormhole Foam
Abstract
We determine how spatially bilocal correlations induced by a dilute ensemble of virtual Euclidean wormholes modify the scalar Casimir interaction between parallel Dirichlet plates. From the leading monopole action, we isolate an equal-Euclidean-time sector and construct a point-throat, first-order matched spectator model with fixed foam statistics. Global two-plate inclusion-exclusion over all mouth-pair center positions yields a continuous fixed-separation kernel free of the logarithmic image structures produced by a restricted translation sector. The kernel is quadratically suppressed at coincidence, changes sign near 0.695 plate spacings, and tends to a positive large-separation plateau. Averaging over truncated-Gaussian, log-normal, and Gamma distributions with a common relative width yields closely spaced energy curves but a finite shape dependence. Differentiating the dimensional energy at fixed ensemble parameters gives a leading-order pressure threshold of 0.05 in the large-separation limit. In the truncated-Gaussian scan extending to twelve plate spacings, an amplitude of 0.06 yields a crossover near a separation ratio of 3.17, whereas amplitudes of 0.02 and 0.04 remain attractive and 0.05 is critical. The scalar cavity therefore provides a scale-selective probe of spatial bilocality whose leading boundary response can change sign within the declared model.
Related
- Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime
- Neutral scalar particle in a charged wormhole background
- Resonant transmission of scalar waves through rotating traversable wormhole
- Exact scalarization thresholds and onset laws for a nonminimally coupled scalar field on the Ellis wormhole
- Scalar halos and conical matching for finite-width vortices at a wormhole throat
BibTeX
@misc{muniz2026scalar,
title = {{Scalar Casimir Effect from Bilocal Correlations in a Wormhole Foam}},
author = {Celio R. Muniz and M. C. Araújo and Edson Otoniel and Jonathan A. Rebouças},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23369},
eprint = {2610.23369},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23369},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Scalar Casimir Effect from Bilocal Correlations in a Wormhole Foam
AU - Celio R. Muniz
AU - M. C. Araújo
AU - Edson Otoniel
AU - Jonathan A. Rebouças
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23369
UR - https://arxiv.org/abs/2610.23369
AB - We determine how spatially bilocal correlations induced by a dilute ensemble of virtual Euclidean wormholes modify the scalar Casimir interaction between parallel Dirichlet plates. From the leading monopole action, we isolate an equal-Euclidean-time sector and construct a point-throat, first-order matched spectator model with fixed foam statistics. Global two-plate inclusion-exclusion over all mouth-pair center positions yields a continuous fixed-separation kernel free of the logarithmic image structures produced by a restricted translation sector. The kernel is quadratically suppressed at coincidence, changes sign near 0.695 plate spacings, and tends to a positive large-separation plateau. Averaging over truncated-Gaussian, log-normal, and Gamma distributions with a common relative width yields closely spaced energy curves but a finite shape dependence. Differentiating the dimensional energy at fixed ensemble parameters gives a leading-order pressure threshold of 0.05 in the large-separation limit. In the truncated-Gaussian scan extending to twelve plate spacings, an amplitude of 0.06 yields a crossover near a separation ratio of 3.17, whereas amplitudes of 0.02 and 0.04 remain attractive and 0.05 is critical. The scalar cavity therefore provides a scale-selective probe of spatial bilocality whose leading boundary response can change sign within the declared model.
ER -