Story Operators: A Mathematical Framework for Narrative Discovery and Transformation

Original research applying Reproducing Kernel Hilbert Space (RKHS) theory to narrative analysis. Introduces Story Operators: a mathematical framework for measuring, projecting, and transforming stories within a structured inner-product space. Uses 768-dimensional embeddings paired with cosine, Chebyshev, and custom composite kernels to quantify similarity, genre membership, and stylistic distance across fiction and poetry corpora. Includes worked examples, kernel design recipes, and a chapter on the historical precedent set when Fisher, Mendeleev, and Chomsky each introduced formal mathematical frameworks to their fields. This second edition (Version 2.0.1) is published as a Case Laminate hardcover for library and reference use; companion paperback (ISBN 978-1-60888-535-0) and ebook (ISBN 978-1-60888-540-4) editions remain in print.