The Internet, what it is now, weighs either about , or about according to the method you use to weigh it.
The method takes a guess at the number of servers running the net (between 75m and 100m), their average power consumption (between 350W and 550W), the average voltage inside a logic gate (3V), and the average speed of those chips (1GHz).”An ampere is some 1018 electrons a second,” Seitz writes, totting up the power use at 40bn Watts (40GW): “Straightforward calculation reveals that some 50 grams of electrons in motion make up the internet.” Always bearing in mind that each electron has a resting mass of , of course – so it takes a lot of them to make up even that tiny weight.
Another method that predicts the weight to be a mere is due to Stephen Cass:
He used the weight of a “bit” – comprised of 40,000 electrons stored in a capacitor on a chip. Bear in mind that the average 8-bit byte only contains four “1” bits (and four “0” bits), multiply it by the total volume of information passing around the net, estimated at 40 petabytes, and voila: 0.2 millionths of an ounce. Or so. Of course, once your electron starts moving, its weight will rise (due to relativistic effects). So perhaps the net really does get slower as more people use it.