A Candidate Quadratic Wedge for Consecutive Toeplitz Minors of the Normalized Riemann ξ-Coefficients

We develop a candidate proof of asymptotic positivity for consecutive Toeplitz minors associated with the normalized Riemann ξ-coefficients in every fixed quadratic wedge \(K=k-r+1\ge Cr^2\). The argument combines a Toeplitz-to-Hankel reduction, a cubic warp of the logarithmic kernel, HCIZ control of warped pivots, q-Newton estimates, diagonal regularity and Schur localization, convergence to a truncated Fock model, a uniform complex saddle-point analysis, and an anti-Wick positivity argument for the surviving quartic operator. If independently validated, the result would improve the presently known uniform cubic wedge to every fixed quadratic wedge. The region \(K=o(r^2)\) remains open, so this does not constitute a proof of the Riemann Hypothesis.