NOTNOTJON wrote:Am I the only one wondering if Randall tried to pull a fast one on us with the amount of energy in a bottle full of anti-matter?
Does he mean a bottle full of anti-H2O? Matter is a little generic, anti-lead would have a different amount of energy than anti-hydrogen I would think. Where does the 6.6 quadrillion Kj come from?
You wouldn't need anti-H2
O. So long as contents of the bottle consist of positrons, antiprotons, antineutrons, or some combination of those, there would be more than enough of the corresponding normal particles in the lake for the antimatter to be annihilated.
I think the point was that a bottle full of "antimatter" is not very specific, and different anti-substances will have different energy densities (just like their more mundane counterparts do), so how many Joules are in a bottle of "antimatter" depends heavily on the form of antimatter in there. Strictly it depends entirely on the mass of antimatter we're talking about, but assuming a fixed volume (say an average 0.5L [~16 fluid ounce] bottle), that means it depends entirely on the density, and if we're assuming standard temperature and pressure (which may not be a safe assumption given that we're talking some kind of magic bottle which can contain antimatter, and if it can do that it can probably also control for temperature and pressure too), that leaves us wondering what substance has that density at standard temperature and pressure.
Let's say the "amount of energy" we're talking about is the total amount of energy released by the matter-antimatter annihilation. Half of that energy will come from the mass of the antimatter (the other half from the matter it reacts with), so we need about 3.3e16 J equivalent mass in the bottle. c^2 is roughly 9e16, and thanks to the wonders of the SI system it's easy to calculate that 1 kg is thus about 9e16 kJ, and the 0.5 kg in 0.5 L of water would thus be about 4.5e16 J, about 36% more than the 3.3e16 J equivalent mass implied to be in the bottle. Whatever's in that bottle of antimatter is thus not antiwater, but anti-something with a density of about 73% that of water, which Google overwhelmingly suggests is the density of gasoline.
Is Cueball carrying a magic water bottle full of anti-gas?
Seems like it's either that or he's carrying some weirdly sized 680mL (23 fluid ounce) magic bottle of anti-water. But honestly magic antimatter bottles and anti-gasoline strain my suspension of disbelief less than bottles with such weird sizes.