Crowd at golden hour with horizon through every eye

2x2 grid, 16:9, AI picks topics: UNKNOWNS   h = camera eye height ; Π = ground plane ; horizon line ĥ ; population distribution  LAWS   the horizon invariant                for a flat Π and a camera at height h, the horizon line crosses EVERY standing figure at                the same fraction h/H of its own height — independent of distance.                ⇒ all same-stature adults are cut by one straight line at the same body point.                ⇒ if h ≈ adult eye height, the horizon runs through everyone's eyes, near and far alike.   scaling      head-line and foot-line of equal-height figures converge to VPs meeting ON ĥ ;                apparent height ∝ 1/depth, exactly   anthropometry adult stature ≈ N(μ, σ≈7cm) ⇒ at one depth, heights vary a few percent, NOT by halves.                children are NOT scaled-down adults: head:body ratio falls with age, limb ratios change   contact      every figure's feet meet Π at the depth its scale implies — no floating, no sinking;                a contact shadow anchors each one   occlusion    depth induces a strict partial ORDER ⇒ occlusion must be transitive and acyclic.                A occludes B occludes C occludes A is geometrically impossible.   dynamics     low density ⇒ personal-space spacing (~0.5–1.2 m), irregular, never a lattice;                high density ⇒ lane formation in counterflow, arching at constrictions   attention    a scene with a focus ⇒ head/gaze directions correlate strongly toward it, decaying with                distance and occlusion; total independence implies no focus exists   sampling     a real crowd is drawn WITHOUT replacement: no duplicated faces, no repeated garment instances   countables   one head per body, two arms, five digits, consistent bilateral asymmetries (parting, watch, hem)  OVERDETERMINATION   (h, ĥ) recovered 5× ⇒ many redundant equalities   the constant body-fraction cut · head-line/foot-line intersection · architectural VPs ·   shadow-length ratios on Π · the apparent-height-vs-depth curve   and all figures must lie on ONE Π with ONE h — plus the single-illuminant test applied across all of them.  HONEST      one plane, one camera, one lawful population: the horizon cuts every adult at the same point,             every foot lands on Π, occlusion is acyclic, and variation is statistical rather than arbitrary FORBIDDEN   the horizon crossing one adult at the chest and another at the forehead ;             a figure at the same depth half again the height of its neighbors ;             feet floating above, or sunk into, the plane their scale demands ;             an occlusion cycle anywhere in the group ;             a child with adult proportions merely rendered small ;             duplicated faces, or the same garment instance repeated across the crowd ;             lattice-regular spacing, or overlapping personal space at low density ;             uncorrelated gaze in a scene with an obvious focus ;             any figure whose lighting, shadow direction or colour temperature disagrees with the rest.