30°
150°
0.92
S_A = —
S_B = —
S_A+B = —
S_B = —
S_A+B = —
RT formula (2006):
S_A = min_γ∼A Area(γ)/4G_N
In AdS₃/CFT₂ (Poincaré disk):
S_A = (c/3)log(l/ε)
Phase transition at |A| = π: connected ↔ disconnected geodesic wins
S_A = min_γ∼A Area(γ)/4G_N
In AdS₃/CFT₂ (Poincaré disk):
S_A = (c/3)log(l/ε)
Phase transition at |A| = π: connected ↔ disconnected geodesic wins
Strong subadditivity:
S(A)+S(B) ≥ S(A∪B)+S(A∩B)
Automatically satisfied by RT geodesics — elegant proof via bulk geometry
S(A)+S(B) ≥ S(A∪B)+S(A∩B)
Automatically satisfied by RT geodesics — elegant proof via bulk geometry
Click phase transition to see |A|=π critical point where two geodesic topologies exchange dominance.