  Delving into spring-like helical configurations, such as DNA within our
cells, motivates physicists to inquire about the effects of such structures in
the realm of quantum field theory, specifically unraveling their manifestation
of effectiveness in Casimir energy. To explore this, we initiated our
investigation with the Casimir effect and proceeded to calculate the Casimir
energy, along with its thermal and radiative corrections, for massive and
massless Lorentz-violating scalar fields across $d+1$ dimensional space-time.
Adhering to the principle that the renormalization program should be consistent
with the boundary conditions applied to the quantum fields was paramount.
Accordingly, one-loop correction to the Casimir energy for both massive and
massless scalar fields under helical boundary conditions by employing a
position-dependent counterterm was performed. Our results, spanning across
spatial dimensions, exhibited convergence and coherence with established
physical grounds. Additionally, we presented the Casimir energy density using
graphical plots for systems featuring time-like and space-like Lorentz
violations across all spatial dimensions, followed by a comprehensive
discussion of the obtained results.
