Not that the Nobel prize would mean much for the bitcoin community, but even if they could give it to an anonymous personality, can Satoshi receive or earn it? Because as far as i know, the Nobel prize award is a yearly or annual award, so the winners are people that met their criteria for the award the previous year, Satoshi's invention was created about 13 years ago, and didn't receive too many positive recognition in the beginning phase, until after a few years later, so if Satoshi was ever eligible for the Nobel prize award wouldn't it have been in 2010, that is if bitcoin had met their criteria the preceding year of creation.
I don't feel there is a suitable field to categorize Satoshi's creation under the different fields in which the award is giving, if there was an award in the field of 'finance' or 'technology', then i probably think that will suit bitcoin.
The Nobel prizes are a series of annual awards given in the fields of physics, chemistry, medicine, literature, and peace.