Cosmological Reconstruction and Thermodynamic Analysis of Hybrid Barrow–Ricci Holographic and QCD Ghost Dark Energy

The current study reports a reconstructed dark-energy model combining Barrow holographic Ricci dark energy (BHDE) with QCD ghost dark energy (GDE) in an effective $f\left(T\right)$ description. We have examined two prescriptions: an additive BHDE–GDE sector and a correspondence between the two components. Three scale factors, namely hybrid, linear truncation, and quadratic truncation, have been constrained using Cosmic Chronometer (CC) data. We have reconstructed $f\left(T\right)$ from the first modified Friedmann equation and evaluated a normalized residual of the second equation. As the pressure has been obtained from the continuity relation, this residual is not an independent consistency test. We have also examined the power-law ansatz $f_{\mathrm{PL}}\left(T\right)=T+\beta {(-T)}^m$. Under the adopted source-density normalization, this ansatz has exhibited appreciable field-equation residuals over the relevant redshift range and does not consistently reproduce the prescribed backgrounds. For the reconstructed function, we have evaluated the effective-fluid stability diagnostic and horizon thermodynamics. The adiabatic effective-fluid sound speed has been found to be negative at the present epoch for all three scale factors and developed poles at finite redshift, whereas the horizon entropy-production rate has been positive for the adopted Barrow normalization. These findings are conditional on the reference parameter choices, reconstruction prescription, and diagonal-error likelihood used for the CC data.