A one-point extension of Gaussian Radon log-concavity

Unrefereed, AI-assisted specialist mathematical candidate. A two-dimensional affine-dependency argument gives a deletion recurrence for d+3 Gaussian points, transferring established d+2 log-concavity and yielding a quantitative margin and local equality criterion. Gaussian base results and ultra-log-concavity convolution are inherited. Larger sample sizes remain open. This is a conventional written-proof package, not formal verification, numerical certification or external peer review; the novelty comparison is bounded.