P vs NP: A 25-Year Journey from an Old Idea to a New Struggle
A personal research journey from the first P vs NP exploration in 2001, through the 2006 Elsevier setback and a long pause, to a renewed AI-assisted investigation in 2026.
Tag
Mathematics
3 Posts
P vs. NP: From the 2006 Geometric Seed to a Hierarchical Proof Framework
A sequel to the 2006 Euclidean TSP manuscript: reconstructing the geometric argument through one-to-one mapping, triangle inequality, four-city closure, recursive stitching, clusters, and a precise list of what is proved, what is evidence, and what still requires proof.
P vs. NP: From a 2006 Geometric Seed to a Formal 2026 Research Program
A 2026 formal expansion of Hemant Pandey’s 2006 P vs. NP manuscript, returning to its geometric seed—Hamiltonian paths, convex polygons and topology—and identifying the proof obligations needed to turn that intuition into a rigorous polynomial-time result.