The Casimir Effect on Laakso Sapces

TL;DR

This paper investigates the Casimir effect analog on Laakso spaces, analyzing how plate separation and boundary conditions influence the phenomenon, and examines spectral zeta function effects on finite approximations.

Contribution

It introduces the study of Casimir effect analogs on Laakso spaces and explores spectral zeta function influences on their finite approximations.

Findings

Dependence of Casimir effect on plate separation and boundary conditions.

Influence of complex poles in spectral zeta functions on approximations.

Insights into spectral properties of Laakso spaces related to physical effects.

Abstract

We explore the properties of an analog to the Casimir effect on Laakso spaces such as the dependence on the separation of the plates and boundary effects. We also mention some results on the influence of complex poles in the spectral zeta function over finite approximations to Laakso spaces.