From the Fast Forward 2 anthology, "True Names" novella by Benjamin Rosenbaum and Cory Doctorow.
Quote:
There were only a finite number of computational cycles left in all of the universe that was timelike to Beebe. Every one of them, every single step in the dance of all those particles, was Beebe in potentia—could be a thought, a dream, a joy of Beebeself.
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Available for PDF download
HERE.
It's only PDF, so sorry.