A cosmological holographic reconstruction of f(Q) theory

This paper explores a cosmological reconstruction scheme in the background of [Formula: see text] gravity theory from a Holographic perspective. The basic motivation for this work is that the reconstruction is performed from a holographic origin, which has its roots in the black hole thermodynamics and quantum gravity. Dark energy models inspired by holographic prescription are used to reconstruct the [Formula: see text] gravity models. Two such models, namely, the Granda–Oliveros holographic dark energy model and its generalization, the Chen-Jing model, are considered for the study. Different scale factors are used and a thorough reconstruction scheme is set up using the dark energy models. The observationally constrained values of the free model parameters have been used to form the reconstructed models. Finally, a thorough investigation of the energy conditions has been performed to check the cosmological viability of the reconstructed [Formula: see text] models. As an outcome, we get some very promising and cosmologically viable [Formula: see text] models that present some interesting properties and demand further investigation. Finally, a method is discussed how the constructed [Formula: see text] models can be reconciled with a generalized holographic dark energy.