  Recently, physicists have started applying quantum information theory to
black holes. This led to the conjecture that black holes are the fastest
scramblers of information, and that they scramble it in time order M log M,
where M is the mass of the black hole in natural units. As stated above, the
conjecture is not completely defined, as there are several possible definitions
of scrambling times. It appears that not all papers that refer to this
conjecture interpret it the same way. We consider a definition of scrambling
time stronger than the one given in the paper that first proposed this
conjecture [Sekino and Susskind, JHEP 0810:065 (2008)], and show that this
stronger version of the conjecture appears to be incompatible with a number of
other widely-believed and reasonable-sounding properties of black holes.
  We argue that for the scrambling time of a black hole to be this fast, either
relativity is violated or non-standard physics must be occurring outside the
stretched event horizon of a black hole. More specifically, either information
is being transferred faster than relativity would permit, the information is
not carried by the Hawking radiation and thus must be carried by unknown
physics, or the Hawking radiation carries much more information than standard
thermodynamics would permit.
