The process involves dipping the body in -196C liquid nitrogen until it is brittle, and then placing it on a vibrating mat so it disintegrates into powder.
Remains
A magnetic field then removes metal objects like fillings and artificial limbs from the remains.
1) Putting something in liquid nitrogen (LN2) freezes it quickly. It doesn't necessarily dry it. ([link|http://en.wikipedia.org/wiki/Freeze_drying|Freeze drying] is done using a vacuum chamber.) Either they break the body up while it's still frozen, or they spend the time and money to dry the body once it's frozen. I can't imagine that it's a quick process to dry a large body.
Also, handling 100-200 pounds of body at liquid nitrogen temperature isn't trivial. If they freeze a body in liquid nitrogen then pull it out to do the shaking, then it will immediately begin developing frost and condensation from water in the air. Grandma will soon be encased in ice. If the vibrations succeed in breaking her up, the remains would soon be a messy collection of body stuff, ice, and water. This implies that the process would have to be done in a vacuum chamber to keep moist air out.
2) Most of the metals used in bodies (mercury amalgam, gold, titanium, stainless steel, etc.) aren't magnetic. I don't see how "a magnetic field removes metals" in the process. I assume they'll actually use a strainer to remove foreign materials.
I really don't see how this is especially environmentally benign. It takes electricity to make LN2 (though the process must be pretty cheap and efficient because LN2 is ~ a dollar a gallon in industrial quantities), and it takes refrigerated tanker trucks to deliver it (it's usually cheaper to get deliveries than to make it on site). There are environmental costs for this process, too, but the on-site costs (LN2 storage, vacuum chamber, handling equipment for frozen bodies, etc.) are probably going to be a bigger issue.
I'm sure electric crematoria can be constructed (to try a body without burning it) if emissions from burning are an issue.
So, color me skeptical.
The [link|http://www.promessafoundation.org/index.php|Promessa Foundation] has a little more info, but doesn't talk about the process in detail. It apparently hasn't actually been used on a body yet.
Cheers,
Scott.