Beyond the Periodic Table - A Taxonomy of Elemental, Collective, Non-Atomic, Living, and Dark Matter
Year: 2026
Type: preprint
Abstract: Elementhood is a subset of matterhood. The periodic table is one of the greatest achievements of scientific classification. It organizes elemental identity through nuclear charge, electronic structure, and chemical periodicity. This monograph preserves that achievement while situating it inside a broader material landscape that includes collective phases, non-atomic regimes, exotic bound systems, field and topological structures, living organization, dark matter, and carefully marked speculative possibilities. The periodic table classifies chemical elements by atomic number and recurring electronic structure. Its success can encourage an implicit identification of matter with elemental atomic composition, yet modern physics, chemistry, materials science, astrophysics, and biology disclose a much wider landscape. Matter may be organized as nuclei, hadrons, deconfined quarkβgluon media, exotic atomic bound states, engineered atom analogues, condensates, quasiparticle systems, topological phases, localized field structures, compact-star matter, living systems, and gravitationally inferred dark matter. This monograph develops a five-coordinate taxonomy: πΈπΏ : = (ππΏ,ππΏ, ππΏ, ππΏ, ππΏ), where π¦π denotes constituent basis, πͺπ organizational regime, ππ closure mode, ππ disclosure profile, and β°π epistemic status. The taxonomy distinguishes elemental matter from regimes that are extra-periodic by state, architecture, constituent level, topology, interaction sector, recursive maintenance, or formation accessibility. It also distinguishes isolated bound states from bulk phases, autonomous fields from substrate-supported excitations, dark matter from dark energy, and observed regimes from theoretical or speculative extensions. Matterhood is interpreted as physically admissible residence: a regime persists through binding, localization, topology, collective organization, gravitational confinement, or recursive self-maintenance while remaining externally disclosed through one or more interaction channels. This interpretation is presented as an ontological and formal research proposal rather than as an established physical law. The monograph concludes that π β π and that a mature taxonomy of matter must extend from atomic identity to the full landscape of material organization. Keywords: periodic table; elementhood; matterhood; extra-periodic matter; atomic identity; exotic atoms; nuclear matter; quarkβgluon plasma; compact-star matter; topological matter; field-structured matter; dark matter; living matter; recursive closure; disclosure
Author: Lilien, Philip
Language: English
Subfield: Physical and Theoretical Chemistry
Field: Chemistry
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7168690381
Cites:
Cited by:
Related to: