Exploring the holographic dark energy model with the Sandage-Loeb test

Taking into account that the Sandage-Loeb test is unique in its coverage of the redshift desert and available in the near future, we explore the cosmic time evolution behavior of the source redshift for the holographic dark energy model, an important competing cosmological model. As a result, we find that the Sandage-Loeb test can provide an extremely strong bound on Ω_m⁰, while its constraint on another dimensionless parameter λ is weak. In addition, it is proposed here for the first time that we can also constrain various cosmological models by measuring the value of z_max⁡ at which the peak of redshift velocity occurs. Combining this new proposed method with the traditional Sandage-Loeb test, we should be able to provide a better constraint on λ, at least from the theoretical perspective.