# Vacuum energy length scale detectable by Casimir effect?

According to Sean Carroll's The Cosmological constant (Eqn.20) cosmological observations imply that the magnitude of the vacuum energy density in natural units is given by $$|\rho^{(obs)}_\Lambda|\le (10^{-12}\ \rm{GeV})^4.$$ Does this imply that the minimum length scale of modes of the vacuum are of the order of $$\lambda \sim (\rm{meV})^{-1}\sim \rm{mm}$$ ?

If this is true then would this millimeter cutoff length be detectable by Casimir effect-type experiments?

• What is a "mode of the vacuum"? – ACuriousMind Apr 7 at 19:17
• I assume that there are quantum fields in the vacuum with zero-point energy normal modes down to some cutoff wavelength $\lambda$. – John Eastmond Apr 8 at 7:50