Impact of Diverse Redshift Functions on Magnetized Traversable Yukawa-Casimir Wormholes

This work is dedicated to discussing the influence of diverse redshift functions on the dynamics of traversable Morris–Thorne wormhole supported by a magnetic fluid source and a Yukawa–Casimir shape function. The field equations are used to determine the dynamical quantities of the supporting matter and are analyzed for the stability of wormholes. The study considers three different redshift functions [Formula: see text] For the zero-tidal-force cases ([Formula: see text] and [Formula: see text]), the constant gravitational potential eliminates radial tidal acceleration. At [Formula: see text] and [Formula: see text], the energy density remains negative near the throat, violating both the null and the strong energy conditions, confirming that exotic matter is required to maintain throat openness. Conversely, setting [Formula: see text] elevates the constant redshift parameter above a critical threshold ([Formula: see text]), enhancing the local classical gravitational binding energy relative to the negative Casimir vacuum fluctuations. As a result, the total effective energy density becomes positive throughout the domain, validating both the weak and null energy conditions, and demonstrating that a traversable wormhole can be physically sustained by non-exotic matter combined with a localized classical magnetic fluid. Finally, for the variable redshift case [Formula: see text], non-zero gravitational tidal forces are introduced; while tidal forces remain finite at the throatensuring human traversability for sufficiently large throat radiithe non-constant potential acts constructively with quantum vacuum fluctuations to require exotic negative energy density near the throat. Thus, the analysis demonstrates that the choice of redshift function significantly governs the supporting matter distribution.