I am not sure how powerful the battery is or the life of these disposable units. I have seen that they are looking for rechargeable batteries and all of the new technology. Frankly, I just hope that they come up with an approved unit that will function at an acceptable price. Technology is perpetually changing and I expect this to become a reality in the next year or so.
Alright... let's do some math..
I found a company commercially selling "Microblowers" (Also, these ones are 2cm*2cm)
20cmH2O ~= 2 KPA.
At that pressure, the blower has < 0.5L per Minute of flow. Flow rate for a CPAP is conservatively 20l/minute, or 40 pumps.
Their Tech sheet says typical consumption is 0.2W, so we're looking at least at 8W of continuous draw for 8+ hours, so 64Whrs of power needed for a night.
A zinc-air battery has a practical energy density of 470Whrs/Kg, or .47Whrs/g. To supply the power, they'd need ~140g of just battery, or about 1/4 lb.
Feasable so far, if bigger than the picture. Issue is that the battery is 1.65V and the blowers need 10V-20V. Since Whrs scale with voltage, you're now talking about needing 9x the amount of battery to power it, even if you ignore that the voltage converter will have losses, so about 2.5lb of battery just hanging off your nose.
The reason it looks startrek-y is because it uses technology only available in the future.
Can we please put the discussion about this POC hoax to bed?