A Cosmological Holographic Reconstruction of f(Q) Theory

This paper explores a cosmological reconstruction scheme in the background of f(Q) 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 f(Q) 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 f(Q) models. As an outcome, we get some very promising and cosmologically viable f(Q) models that present some interesting properties and demand further investigation.