Research-Stack/0-Core-Formalism/lean/Semantics/Semantics/MereotopologicalVideo.lean

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import Semantics.VideoPhysics
import Semantics.MereotopologicalSheafHypergraph
namespace Semantics.MereotopologicalVideo
open Semantics.VideoPhysics
open Semantics.MereotopologicalSheafHypergraph
/--
A VideoRegion represents a spatial-temporal segment of the 120Hz HDMI stream.
It is treated as a component of the larger manifold.
-/
structure VideoRegion where
id : Nat
frame_range : Nat × Nat
pixel_bounds : (Nat × Nat) × (Nat × Nat)
state : VWMState
/--
VideoSection: Data associated with multiple video regions.
-/
structure VideoSection where
regions : List VideoRegion
global_sigma : Scalar
/--
Mereotopological Video Consistency:
Ensures that part-whole relations in the video stream match
the physical connectivity of the manifold topological model.
-/
structure VideoConsistency where
mereo : Mereology
topo : Topology
isConsistent : Prop
end Semantics.MereotopologicalVideo