Black hole entanglement entropy regularized in a freely falling frame

摘要: We compute the black hole horizon entanglement entropy S E for a massless scalar field, first with hard cutoff and then high frequency dispersion, both imposed in frame that falls freely across horizon. Using WKB methods, we find is finite or superluminal because mode oscillations do not diverge at contribution of transverse momenta cut off by angular momentum barrier. For subluminal depends on behavior arbitrarily momenta. In all cases it scales area. linear cutoff, rather than quadratic. This discrepancy from familiar result arises difference between free-fall static which usually imposed. case fractional power index dispersion relation. Implications possible relation regularized Bekenstein-Hawking are discussed. An appendix provides an explicit derivation entangled, thermal nature near-horizon vacuum dispersive field four dimensions.