P-S2: The Complete Taxonomy of Spatial Soliton Spectra and Excited States — A Strategic Synthesis of Space Ontology(v1.0)

Abstract: This is the second paper in the third series of the Space Ontology project. It accomplishes three tasks. First, it establishes the Soliton Spectrum Survey Map, systematically classifying all known and predicted soliton states across three dimensions: scale (microscopic/mesoscopic/macroscopic), topological charge (Q = 1, 2, 3, ...), and spatial dimension (spacetime/color space). The color space soliton spectrum is divided into two branches — closed solitons (glueball family) and open defects (gluon knot family) — linked by a phase transition condition ΔE/E ≈ 0.136%. Second, it reveals a deep correspondence with the Particle Periodic Table. The Particle Periodic Table is a "ground-state taxonomy" — it tells us what stable fundamental modes space possesses. The Soliton Spectrum Survey Map is an "excited-state taxonomy" — it tells us how these modes are excited, composite, and evolve. Together, they constitute the "Complete Taxonomy of Excited States" of Space Ontology. Third, it distills five universal laws: the Mass-Geometric Entropy Unification Law, the Topology-Quantum Number Unification Law, the Stability Threshold Unification Law, the Scale Ladder Unification Law, and the Dimension Translation Unification Law. These five laws unify the two fundamental questions of "what are elementary particles" and "what can space be excited into," with the unified generating functional Z[α, Q, d] as their mathematical core. The central thesis is: Particle Periodic Table + Soliton Spectrum Survey Map = Complete Taxonomy of Excited States of Space Ontology Space is one, but its excitations are infinite. From Planck-scale elements to elementary particles, from atomic nuclei to mesoscopic solitons, from ball lightning to dark matter vortex bundles, from color space glueballs to gluon knots — all of these are different expressions of the same space, the same set of equations, and the same κ = 0.017 under different boundary conditions. Space is a vast "excitation factory," and we have only just begun to map its complete product catalog. This article is part of the third series of papers on Space Ontology (strategic synthesis), building on the foundational framework established in the first series (a total of 17 papers) and synthesizing and expanding the core principles of the first and second series (application and verification). Keywords: Space Ontology, Soliton Spectrum, Excited States, Taxonomy, Particle Periodic Table, Geometric Entanglement Entropy, Universal Laws, Generating Functional, Color Space Soliton, Glueball