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The meaning of <at the singularity> is still notJack,
understood.
It awaits, in approximately the language of Misner, Thorne
and Wheeler, the consummation of the wedding between quantum
mechanics and general relativity.
In any event, matters inside the black hole's event
horizon are
not observable, so I'm not sure that your question has
meaning. If I were to answer your question "yes" there is
no possible experiment that could falsify my answer.
Regards,
Jack