A Foundational Atlas of Physical States

: > A Foundational Atlas of Physical States presents the first public release of a cross-domain framework for constructing, classifying, comparing, and mapping precisely defined physical states. Physics already contains several powerful domain-specific maps. The periodic table organizes chemical elements. The Standard Model organizes elementary particles and fundamental fields. The chart of nuclides organizes atomic nuclei. The electromagnetic spectrum organizes radiation. Thermodynamic diagrams organize phases and equilibrium conditions. Astronomical classifications organize planets, stars, compact objects, and gravitational systems. These systems describe different regions of physical reality through different coordinates and classification principles. The atlas introduced here establishes a common state-level representation through which objects from these separate systems can be processed by the same method and assigned comparable structural identities. The operative method is the PNMS State Classification System. Each physical state is first defined through an explicit identity, reference frame, physical conditions, semantic property records, and source provenance. The state is then processed through five complete and isolated anchor constructions. Each construction passes through the full PNMS pipeline and produces Planck-relative coordinates, projection matrices, relation structures, compactness measures, nineteen model readouts, a complete ModelSpectrum, and a run-specific signature. The five independently constructed results are compared through MultiRunComparison. Stable structure, construction-dependent variation, limit states, model responses, and unresolved components are consolidated into an InvariantSignature and a final StateSignature. StateSignature functions as a multidimensional structural identity. It records not only the numerical properties of a state, but also its scale position, internal relations, model profile, construction stability, variation, evidence status, and boundary conditions. Each StateSignature is connected to a MapPosition. MapPosition preserves the coordinates generated by all five runs, their centroid and range, distance from the Planck reference, finite and non-finite axes, construction class, relational structure, model spectrum, and invariance information. A state may therefore occupy a highly concentrated position, a bounded construction-sensitive region, or a position containing explicitly defined limit axes. When many state objects are combined, they form an atlas. The atlas can be investigated through signature distances, nearest neighbours, local density, clusters, continuous series, periodicities, system overlap, boundary transitions, and structural families that emerge directly from the calculated signatures. This first release contains 150 completely processed states, representing all twelve PNMS construction classes and fourteen defined physical systems. The collection spans Standard Model entities, electromagnetic radiation, neutral atoms, bare nuclei, nuclide benchmarks, hadrons, atomic spectral states, molecular systems, thermodynamic phases, Solar System bodies, stellar and compact objects, relativistic gravitational states, and Planck-scale reference and boundary conditions. The 150 states produce 750 complete anchor runs and 14,250 operational model posts. They constitute the first realized segment of a locked foundational catalog containing 583 explicitly defined states, corresponding to 2,915 anchor runs and 55,385 model posts when fully executed. The wider foundational catalog includes the complete thirty-state Standard Model reference system, all 118 neutral atomic ground states, 118 corresponding bare nuclei, nuclear and hadronic benchmark systems, an electromagnetic reference ladder, atomic and molecular systems, thermodynamic phases, planetary and stellar objects, gravitational reference grids, and Planck-boundary states. The atlas architecture is append-only. After the foundational catalog, it can expand into the full known nuclide chart, eligible particle listings, neutral and ionic atomic ground states, and molecular isotopologue registers. Further physical systems, state families, model readers, and analytical layers can be added through versioned manifests while preserving the frozen identities and signatures of earlier states. As the map grows, its scientific value increasingly lies in the relations between states. Dense regions, structural series, transitions, bridges, isolated objects, and underpopulated regions can be identified. An unoccupied region is not by itself evidence for an undiscovered physical object, but a regular gap between established state families can define a precise research question: what combination of properties, relations, model responses, and invariance characteristics would be required for a state to occupy that region? The long-term objective is therefore more than a collection of reports. It is a reproducible and extensible atlas in which physical states retain their established domain identities while also receiving a common structural position in relation to states from other areas of physics. Package release: 1.0.0 Engine: PNMS Engine 0.2.0 Pipeline: PNMS-PIPELINE-1.1-CORRECTED Model registry: PNMS-MODEL-REGISTRY-1.1 Released states: 150 Complete anchor runs: 750 Operational model posts: 14,250 Foundational catalog target: 583 states