answer:I think there is a connection, but they are not exactly one and the same. It seems that the Noosphere is the next step from the Biosphere. (“In the theory of Vernadsky, the noosphere is the third in a succession of phases of development of the Earth, after the geosphere (inanimate matter) and the biosphere (biological life”) It seems the next logical step in this evolution is cyberspace (which you have already defined). It then follows that perhaps The Singularity will come next (if artificial intelligence ever does actually succeed in becoming greater than human intelligence). But keep in mind that the word Noosphere is polysemantic. (That is to say it is “ambiguous – having more than one possible meaning”). So perhaps it could be said that they are one in the same phenomena in that they are progressions of the preceding theory, i.e. they evolve from the previous condition of mankind.