Mathematically speaking, current computers run in discrete (integer/countable) space, and the human brain exists in continuous (real/uncountable) space. Cantor showed that continuous space is larger than, and thus cannot be represented in, discrete space (via diagonal method). I suggest that AGI and consciousness lie in continuous space, and thus are unreachable with our current discrete computation model, regardless of how sophisticated we make it. There exists a cardinality barrier.
I wonder how these people have decided it is possible with a digital computer, given that the brain is analog. I wouldn't be surprised if the first step through AGI is to actually crack the analog computer hardware problem.