To Hawking 's annoyance , his much-checked calculations produced findings that contradicted his second law , which claimed black holes could never get smaller , and supported Bekenstein 's reasoning about their entropy .
[ 166 ] To Hawking 's annoyance , his much-checked calculations produced findings that contradicted his second law , which claimed black holes could never get smaller , [ 167 ] and supported Bekenstein 's reasoning about their entropy .