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We study black hole singularities in the AdS/CFT correspondence. Thesesingularities show up in CFT in the behavior of finite-temperature correlationfunctions. We first establish a direct relation between space-like geodesics inthe bulk and momentum space Wightman functions of CFT operators of largedimensions. This allows us to probe the regions inside the horizon and near thesingularity using the CFT. Information about the black hole singularity isencoded in the exponential falloff of finite-temperature correlators at largeimaginary frequency. We construct new gauge invariant observables whosedivergences reflect the presence of the singularity. We also find a UV/UVconnection that governs physics inside the horizon. Additionally, we comment onthe possible resolution of the singularity.Comment: 34 page, 10 figures, uses harvmac, references adde

Excursions beyond the horizon: black hole singularities in Yang-Mills theories (I)