Scalar bosonic oscillator fields in LV-wormholes

TL;DR

This paper studies how scalar bosonic fields behave quantum mechanically in a Lorentz-violating wormhole spacetime, revealing unique spectral properties influenced by geometry and Lorentz symmetry breaking.

Contribution

It introduces a novel analysis of scalar field dynamics in LV-wormholes, deriving exact solutions and spectral characteristics influenced by topology and Lorentz violation.

Findings

Spectral problem reduces to confluent Heun structure.

Effective potential is regular and finite at the wormhole throat.

Spectral spectrum exhibits particle-antiparticle symmetry and confinement.

Abstract

We investigate the quantum dynamics of scalar bosonic oscillator fields propagating in a (3+1)-dimensional Lorentz-violating (LV) wormhole spacetime within a modified gravity framework. The underlying geometry, characterized by a smooth minimal-radius throat and a globally regular redshift sector, induces nontrivial curvature effects that significantly modify the spectral properties of the Klein-Gordon (KG) field. The field dynamics are formulated in the presence of a nonminimally coupled vector background of the form $\mathcal{F}_\mu=(\mathcal{F}_t(x),0,0,0)$, which, under the physically motivated ansatz $\mathcal{F}_t(x)=\Omega\, r(x)$, generates an effective KG-oscillator interaction intrinsically encoded by the wormhole geometry. The resulting effective potential is regular and finite at the throat, eliminating centrifugal singularities and ensuring globally well-defined propagation across the minimal-radius region. The spectral problem reduces to a confluent Heun structure, leading to conditionally exact solutions and a discrete energy spectrum governed by curvature, Lorentz-violation strength, and oscillator frequency. The associated eigenvalue structure exhibits a relativistic particle-antiparticle symmetry with curvature-induced deformation and parameter-dependent confinement. Our results demonstrate that LV wormhole spacetimes act as effective dispersive quantum gravitational media, in which spacetime topology and spontaneous Lorentz symmetry breaking jointly regulate confinement, spectral quantization, and the global evolution of scalar bosonic modes.