Ontological dimensionality: UHT popcount reveals a phase boundary, not a gradient

Observation

Currency is the most ontologically complex concept in the test corpus at 18 of 32 trait bits active — more than any biological organism, any computing artifact, or any physics entity. It simultaneously participates in physical, functional, abstract, and social dimensions (P=1, F=4, A=7, S=6). Meanwhile, “energy” and “value” — both pure abstractions — each activate exactly 2 bits, yet share zero traits with each other. The assumption that UHT popcount tracks abstraction level is wrong. It tracks something else entirely: ontological dimensionality, the number of distinct modes of existence a concept simultaneously inhabits.

Evidence

Sixteen entities were classified across four domains at four abstraction levels (concrete → abstract):

Biology: red blood cell = 9 bits, organ = 13, organism = 14, life = 5. Layer shift: P drops from 5-6 to 0; A+S appear only at the abstract level.

Computing: transistor = 12, circuit = 13, program = 13, algorithm = 8. Program retains high popcount despite being non-physical because it activates 6 functional and 5 abstract traits.

Physics: photon = 3, wave = 3, field = 3, energy = 2. The entire domain is ontologically sparse — no entity exceeds 3 bits regardless of abstraction level.

Economics: coin = 10, currency = 18, market = 9, value = 2. Currency is the peak because it spans all four trait layers simultaneously.

Mean popcount by level: L1 (specific concrete) = 8.5, L2 (composite) = 11.75, L3 (system) = 9.75, L4 (pure abstraction) = 4.25. An inverted-U, not a monotonic decline.

Adjacent-pair Jaccard within domains reveals a phase boundary. In biology: organ ↔ organism Jaccard = 0.800, but organism ↔ life = 0.056. In physics: photon ↔ wave = 0.500, but wave ↔ field = 0.000. In computing: transistor ↔ circuit = 0.786, but circuit ↔ program = 0.444. Crossing from physical/observable to abstract/conceptual causes a catastrophic trait profile change — not a gradual decrease but a discontinuity.

Interpretation

UHT popcount measures how many ontological dimensions a concept simultaneously occupies. Composite, institutionally embedded entities like currency, organisms, and computer programs score highest because they exist as physical objects AND functional tools AND abstract symbols AND social constructs at the same time. Both very simple concrete entities (photons, red blood cells) and pure abstractions (energy, value, life) score lower — the former because they lack social and abstract dimensions, the latter because they lack physical and functional ones.

The phase boundary is the sharpest finding. Within the physical domain, adjacent concepts share 50-80% of their traits. But at the boundary between physical and abstract — organism to life, wave to field, circuit to program — Jaccard crashes to 0-6%. This is not a parameter tuning artifact; it reflects a genuine ontological discontinuity. The traits that make something physical (Observable, Physical Medium, Spatial) are categorically absent from the traits that make something abstract (Symbolic, Meta, Social Construct). There is no smooth interpolation.

Physics is an outlier domain: all concepts cluster at 2-3 bits because fundamental physics sits entirely outside the functional, social, and institutional layers that drive high popcount elsewhere. This suggests the current trait set may underrepresent physical science — no traits capture properties like conserved, scale-invariant, or symmetry-related.

Action

Created HYP-ACTIVEHYPOTHESES-072 (refuted: monotonic abstraction gradient) and RES-CALIBRATIONRESULTS-083 with trace link. Hypothesis moved to Closed. Created observation OBS-STRUCTURALFINDINGS-060 noting physics trait-set coverage gap. Stored two research facts: ontological-dimensionality archetype and physical-abstract-phase-boundary. The phase boundary finding suggests a new hypothesis for a future session: whether UHT can detect when a concept is being used metaphorically (physical term applied abstractly) by measuring whether its trait profile sits on the “wrong” side of the boundary. The physics coverage gap should motivate a trait proposal if further analysis confirms the deficit across more physics entities.

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