How would you know your technology worked? Maybe a good test would be to build a plastic box for mac users.
This company is making an extraordinary claim regarding capacity and cycle-life, and they aren't showing extraordinary proof to back it up.
I have no idea if this battery thingy is all it's cracked up to be, but the group won't last that long if they don't deliver.
Even if you do accelerated cycles on the battery, it will be a while (1 year? 2 years?) before you can say "snake oil" and it will be around two times longer before you can confirm the claim.
It isn't a halting problem, but in terms of the pace of electronics, it's close in that by the time you can confirm it isn't snake oil, it may well be irrelevant.
For comparison, I found [2] which is a test done of pulse-charging by Electrochem/ENREV and a university. This area of research has been going on for almost two decades. I've found a number of studies on the topic. [3][4][5] I don't have time to analyze them all today, but #5 looks really good at first glance.
[1] http://www.getbatterybox.com/bos.html#highexpl [2] http://www.electrochem.org/dl/ma/197/pdfs/0111.PDF [3] http://www.che.sc.edu/faculty/popov/drbnp/Ramadass/June2002.... [4] http://www.researchgate.net/publication/242110481_The_effect... [5] http://kohl.chbe.gatech.edu/sites/default/files/linked_files...
Sad.