Quantum Core
SIC-POVM tetrahedral architecture — the computational primitive powering sovereign care measurement on the P31 mesh.
SIC-POVM · d=2 · 4 States
d
2
states
4
overlap
1/3
family
tetrahedral
measurement
SIC-POVM
bornRule
Tr(ρΠᵢ) = |⟨ψᵢ|ψ⟩|²
sumToUnity
true
Quantum Measurement Dashboard
SIC-POVM
SIC-POVM d=2 • overlap 0.3333 ✓
25.0%
|ψ₁⟩
25.0%
|ψ₂⟩
25.0%
|ψ₃⟩
25.0%
|ψ₄⟩
Posner Molecule
Calcium9
Phosphorus6
Oxygen12
Total27
Coherence50%
Entanglement Pairs35
K4 Topology
Vertices4
Edges6
Complete✓
Planar✓
Maxwell Rigidity6
Apex ↔ Nonprofit ↔ Workspace ↔ Companion
K₄ Topology
V=4 · E=6 · Planar · β₂=1
K₄ Tetrahedral Mesh
V=4E=6K₄ ✓Rigid ✓
1
2
3
4
✦ K₄ Complete Graph — Isostatically Rigid (E = 3V - 6 = 6)· 863 Hz
Live SIC-POVM Measurement
SIC-POVM d=2 • overlap 0.3333 ✓
25.0%
|ψ₁⟩
25.0%
|ψ₂⟩
25.0%
|ψ₃⟩
25.0%
|ψ₄⟩
Posner Molecule Ca₉(PO₄)₆
9 Ca · 6 P · 12 O · n=2e⁰·⁵
Calcium9
Phosphorus6
Oxygen12
Total27
Coherence50%
Entanglement Pairs35
⚠️ HONEST LABEL: This system implements a computational model inspired by SIC-POVM quantum information theory.
The tetrahedral framework is an architectural metaphor for sovereign care measurement infrastructure.
Underlying physical hypotheses (e.g., Posner molecule quantum cognition) remain scientifically contested.