Subject: Can a photon bend back on itself? e.g. in an extreme gravitational field

If a photon could be bent back on itself, perhaps in a black hole, would 
it create a stable entity? What properties might it have? 
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Thanks for your reply asking for more details-
Yes - could the trajectory be a small circle - perhaps a
few nanometers in diameter? Are there any limits on
how small the circle could be?

Response:

Re: Can a photon bend back on itself? e.g. in an extreme gravitational field
If a photon could be bent back on itself, perhaps in a black hole, would 
it create a stable entity? What properties might it have? 


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What, exactly, do you mean by 

Re: Can a photon bend back on itself? e.g. in an extreme gravitational field