The Penrose-Hameroff proposal is not very new. It is also not very reasonable given the nature of quantum mechanics. Essentially, Penrose proposes that quantum gravity effects allow microtubules in the brain to align and thereby produce consciousness. There are several deep problems with this.
First, microtubules are, for purposes of quantum mechanics, very large structures (thereby reducing the quantum effects greatly) in a 'hot' environment (body temperature) which promotes decoherence. One of the things we have learned about quantum computing is that it requires extreme isolation of the quantum system from the environment. Otherwise, the entanglements required are broken down too quickly. They also need to be at low temperatures (below the temperature of liquid nitrogen) for similar reasons. This is in the basic physics. The brain is a very, very poor place to expect quantum entanglements to be preserved.
Even worse, by bringing in quantum gravity, for which no current hypothesis is testable, and for which the relevant distances and times are *many* orders of magnitude smaller than an atom (let alone a neuron), Hameroff and Penrose go *completely* off the deep end.
Finally, the identification of quantum entanglement effects with a 'soul' is also deeply problematic.
Sorry, but this is bunk. It isn't even supported by the biology.