The Periodic Table of Particles

Is it finally possible to build a true periodic table of elementary particles? Following the empirical foundations established in AWA I–IV, this work introduces a new universal classification of the Particle Data Group (PDG 2024) spectrum that reorganizes more than 500 particles into a structured stability architecture — revealing empty cells, privileged stability zones, and predictive gaps directly comparable to Mendeleev’s original table. Without relying on quantum numbers, interaction labels or model-dependent assumptions, the particle spectrum self-organizes into discrete stability attractors and forbidden regions. What previously appeared as a scattered catalog of lifetimes becomes an ordered hierarchy where position determines persistence, decay behavior and long-term stability. This classification framework directly enables testable predictions:• missing particles expected near stability poles• forbidden regions where long-lived states cannot exist• preferential decay pathways• discrete dark matter mass structures Only after this reorganization does the deeper structure emerge: the ordering is governed by a hidden angular coordinate constructed solely from experimental observables, revealing that stability itself follows a geometric constraint — without free parameters or tuning. AWA I–IV established the law.AWA V reveals the table.