Particles Are Unnecessary: A Spectral Reconstruction of Physical Reality

This paper initiates a fundamental ontological shift in the physical sciences. We argue that the Standard Model, despite its predictive success, has fallen into a "category error" inherited from 20th-century nuclear chemistry: the pursuit of ever-smaller material constituents. Much like Ptolemaic astronomy, which maintained accuracy through the accumulation of arbitrary epicycles, the Standard Model relies on 19 free parameters and ad hoc mechanisms (such as the Higgs field) that lack structural necessity. Within the framework of Cognitional Mechanics (CM), we propose an "Operational Ontology" where the category of "physical existence" is restricted to stable eigenvalue clusters observable at the chemical scale. All sub-nuclear phenomena—quarks, gluons, and gauge bosons—are reconceived not as material "things," but as internal modes of a minimal non-commutative algebra: M3(C) ⊕ C. By applying the Spectral Action Principle to this internal structure, we derive gravity, gauge interactions, nucleon mass generation, atomic structure, and the periodic table without introducing any particle as an ontological primitive. Neutrinos are identified as spacetime eigenmodes (Layer III) coupled to Riemannian curvature, yielding a derived mass scale and a specific curvature coupling (ξ = −1/6) without requiring right-handed neutrinos. Published: February 28, 2026. DOI: 10.5281/zenodo.18810386