Observation

The first sixteen bits of a hex code — the physical and functional quadrants — act as a hard gate on cross-domain similarity. {{hyp:HYP-ACTIVEHYPOTHESES-079}} predicted that entities matching on at least 80% of bits 1-16 would achieve Jaccard above 0.70 regardless of abstract and social differences, while entities diverging below 50% on those bits would stay below 0.50 even when their abstract-social profiles aligned. The prediction held with perfect separation across all twenty test pairs.

The test also surfaced a four-way hex collision at {{hex:D6D81018}}: {{entity:Circular Saw}}, {{entity:Ferris Wheel}}, {{entity:Hot Air Balloon}}, and {{entity:Sportplane}} — a power tool, an amusement ride, a lighter-than-air craft, and a sport aircraft — all sharing twelve identical traits and zero differences.

Evidence

Ten cross-domain pairs with matching physical-functional bytes (all sharing the same first two hex characters): every pair scored Jaccard between 0.812 and 1.000, mean 0.871. {{entity:Laptop Computer}} {{hex:D6F87018}} against {{entity:Cordless Drill}}, {{entity:Condenser Microphone}}, and {{entity:Digital SLR Camera}} (all {{hex:D6F81018}}): J=0.867 each. {{entity:LCD Monitor}} {{hex:D6FC5018}} against {{entity:Fighter Jet}} {{hex:D6FC505D}} and {{entity:Passenger Train}} {{hex:D6FC3058}}: J=0.833 and 0.824. {{entity:Nuclear Submarine}} {{hex:D6FE505D}} against {{entity:Drone (UAV)}} {{hex:D7FE705D}}: J=0.905. {{entity:Circular Saw}} against {{entity:Electric Motor}} {{hex:D6D01018}}: J=0.917.

Ten diverging pairs (physical-functional match below 50%): all scored Jaccard between 0.158 and 0.476, mean 0.317. The gap between the lowest matching pair (0.812) and the highest diverging pair (0.476) is 0.336 — no overlap. {{entity:Hospital}} {{hex:D48532DD}} against {{entity:Legal Obligation}} {{hex:008C28D9}} tested the abstract-social alignment clause: their social quadrants align at 87.5% (DD vs D9) yet Jaccard reached only 0.444 because physical-functional diverges.

The D6D81018 collision profile comprises twelve traits: {{trait:Physical Object}}, {{trait:Synthetic}}, {{trait:Powered}}, {{trait:Observable}}, {{trait:Physical Medium}}, {{trait:Intentionally Designed}}, {{trait:Outputs Effect}}, {{trait:State-Transforming}}, {{trait:Human-Interactive}}, {{trait:Compositional}}, {{trait:Regulated}}, {{trait:Economically Significant}}.

Interpretation

The physical-functional quadrant is the dominant factor in UHT similarity. This makes structural sense: these sixteen bits encode what something is materially and what it does mechanically. Abstract and social traits modulate but cannot override this substrate. An LCD monitor and a fighter jet converge at J=0.833 because they are both powered, signal-processing, human-interactive physical devices — the fact that one entertains and the other kills is a social distinction that matters to humans but not to the ontological structure.

The four-way collision at {{hex:D6D81018}} names a specific archetype: the human-operated, self-contained mechanical device. Circular Saw, Ferris Wheel, Hot Air Balloon, and Sportplane are all powered, compositional physical artifacts that a person operates to produce an effect, without digital intelligence or system integration. They are the un-smart machines — the category that existed before electronics added bits 11, 14, 15, and 24 to the profile.

Action

{{hyp:HYP-ACTIVEHYPOTHESES-079}} moved to closed as confirmed. {{res:RES-CALIBRATIONRESULTS-098}} created with full data. Three research facts stored: the Circular Saw–Hot Air Balloon hex collision, the Nuclear Submarine–Drone cross-domain analog (J=0.905), and the physical-functional-gating functional archetype. Next sessions should test whether the gating relationship is linear or threshold-like — does physical-functional match at 60-80% produce intermediate Jaccards in the 0.50-0.70 range, or is the transition sharp?