The Internet Weighs About as Much as a Strawberry
techland.time.com
techland.time.com
Assuming that the internet contains 10^19 bytes (10 million terabytes, twice the number given in the video), that's approximately 10^20 nats, which, when you multiply by Boltzmann's constant (1x10^-23 J/K) and Room temperature(3*10^2), is on the order of 0.1 J. That energy, divided by c^2, comes out to 10^-18 kg, or about 10^-17 oz (give or take an order of magnitude or two).
So I guess, really, the internet doesn't even come close to weighing as much as the lowball estimate from the video.
[1] http://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalence
Most NAND flash use floating gate-mosfets (a type of transistor), which work by storing a very small amount of electricity within a high resistance material to prevent dissipation when in the "on-state". But this charge is extremely negligible in terms of mass, and energy. And depending on the particular memory used, the "off-state" could carry a charge as well.
Interesting to think about though.
(and to clarify, this energy is coming from the device's battery, not the RF energy or something else OTA)
What they're saying is that the electrons captured to change the state in a solid-state drive holds physical mass. If this mass change is extrapolated to the data storage of the entire internet, then it physically ways as much as a strawberry.
This likely means that all recorded data in human history would weigh less than your standard package of printer paper from Staples.
* yes, I understand that mathematically the two functions likely intersect at some point; however, the function for the mass of the internet and the function of the mass of the human race are meaningless that far in the past.
I think we're already building a jupiter computer. First, we're laying our computing infrastructure on the surface of the earth. As time goes on, our computational infrastructure increase in density and in efficiency. Eventually, we figure out an unimaginable economic reason for building even more computers, which increase our motivation. Thus planet earth is geoengineered into a vast Jupiter brain.