Minimal Area Gap for the Trefoil with \(L_k = 6\): Invariance under Phase Reversal

For the trefoil knot \(3_1\) constrained by linking number \(L_k = 6\) and phase \(\theta = 6\pi/5\), the kinematic minimal area eigenvalue of loop quantum gravity is exactly \(A_{\rm min} = 4\pi\gamma\sqrt{3}\,\ell_P^2\). This value is independent of the sign of \(\theta\). The result follows directly from the standard area operator and does not require anyonic statistics.