Normal_Anomaly comments on A boltzmann brain question. - Less Wrong
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If the question is whether our conscious experience might be attributable to a Boltzmann thingy, the lower bound on the size of the thingy is the amount of brain it takes to be conscious. I haven't dissolved consciousness, of course, but I would be surprised if a single neuron could be conscious, no matter what state it was in.
Consciousness comes from many neurons working in unity, so one neuron could not create a consciousness.