Rindler Wedge — Gravity Dual & Entanglement

Unruh effect, Rindler entropy & AdS/Rindler holography
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An accelerated observer (Rindler) sees Minkowski vacuum as a thermal state with Unruh temperature T_U = aħ/(2πck_B). The Rindler wedge (x>|t|) has a Rindler horizon; the complementary region is causally disconnected. The entanglement entropy across the horizon equals the Bekenstein-Hawking entropy S = A/(4G_N). Via AdS/CFT, the Rindler wedge maps to an AdS-Rindler geometry: a BTZ black hole at the Unruh temperature. Modular Hamiltonian: K = 2π∫ x·T_tt dx.