Beyond the Turing Machine

Not sure where the linked abstract actually was from (it's hosted with the Turing Centenary Conference, but I couldn't find a link in their public pages) - but here's the author's blog that may shed some more light:

http://www.npr.org/blogs/13.7/2010/03/how_can_mind_act_on_ma...

And then some more digging turns up reviews of his 2008 book:

http://www.scientificamerican.com/article.cfm?id=sacred-scie...

Yep, standard "Gawd in the gaps" stuff, complete with a helping of quantum woo. Also, the originally linked abstract is full of howlers like this:

"I believe Trans-Turing Systems are constructable, go beyond Turing, and may have powerful implications for the Mind-Brain system."

I believe you believe that too, d00d - but absent something resembling even an outline of a proof or an existence argument you're just tossing quantum word-salad.

The article is very sparse on details, but they set up a good conceptual framework for post-classical computing.