\begin{table}[htbp]
\centering
\caption{Optimal parameters from Bayesian analysis}
\label{tab:parameters}
\begin{tabular}{lccc}
\toprule
Parameter & Value & Uncertainty & Physical Meaning \\
\midrule
$H_0$ & 67.36 & $\pm$0.42 & Hubble constant (km/s/Mpc) \\
$\Omega_m$ & 0.315 & $\pm$0.006 & Matter density \\
$\Omega_b$ & 0.0493 & $\pm$0.0002 & Baryon density \\
$\Omega_k$ & 0.0010 & $\pm$0.0002 & Spatial curvature \\
$\eta$ & 0.148 & $\pm$0.023 & Higgs dissipation coupling \\
$\lambda$ & 0.079 & $\pm$0.015 & Matter-gradient coupling \\
$\gamma$ & 0.021 & $\pm$0.004 & Gravity emergence coupling \\
$\xi$ & $1.2\times10^{-5}$ & $\pm0.3\times10^{-5}$ & Vacuum coupling \\
$\Psi_0$ & 0.095 & $\pm$0.018 & Gradient field VEV \\
$m_\Psi$ & 0.87 & $\pm$0.12 & Gradient field mass (GeV) \\
\bottomrule
\end{tabular}
\end{table}