A scientific recognition for M.M. Sheikh-Jabbari

In 2018, for our sixty-ninth competition, the trustees of the Gravity Research Foundation offered five awards and few honorable mentions for short essays for stimulating thought and encouraging work on the phenomenon of gravitation. This year Daniel Grumiller and M.M. Sheikh-Jabbari received honorable mention recognition for their essay entitled Membrane Paradigm from Near Horizon Soft Hair The membrane paradigm posits that black hole microstates are dynamical degrees of freedom associated with a physical membrane vanishingly close to the black hole's event horizon. The soft hair paradigm postulates that black holes can be equipped with zero-energy charges associated with residual diffeomorphisms that label near horizon degrees of freedom. In this essay we argue that the latter paradigm implies the former. More specifically, we exploit suitable near horizon boundary conditions that lead to an algebra of ``soft hair charges'' containing infinite copies of the Heisenberg algebra, associated with area-preserving shear deformations of black hole horizons. We employ the near horizon soft hair and its Heisenberg algebra to provide a formulation of the membrane paradigm and show how it accounts for black hole entropy.

A full list of awardees may be found here
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