I got nerd-sniped on this, so let's do the math.
Volume of a AAA battery = ~3.85 cm^3
And let's give it a density of the densest elemental metal (Osmium), at 22.6 g/cm^3
Assume the battery stores pure energy (I know, I know). So E = mc^2, which is like 8.99 x 10^16 J / kg
So that battery would hold about 22.6 g/cm^3 * 3.85 cm^3 * 8.99e16 J / kg = 7.8 * 10^ 15 joules = ~2.2 TWh, about a trillion times more than a normal AAA battery.
Doing some LLM-assisted sleuthing, a large cruise ship can use over 80,000 gallons of fuel a day [1]. A bit of searching indicates marine fuels have a density of approx 39 MJ/L (I'm using volumetric density for consistency), so 80,000 gallons * 39 MJ/L = about 1.1 x 10^7 megajoules = 3.2 GWh.
So a 2.2 TWh AAA battery could power that ship for 671 days.
Of course, the practical physics here are nonsense and there are obvious safety considerations associated with your AAA-sized nuclear weapon, but maybe that's what the author was getting at?
[1] https://blog.windstarcruises.com/how-much-fuel-cruise-ship-u...
Volume of a AAA battery = ~3.85 cm^3
And let's give it a density of the densest elemental metal (Osmium), at 22.6 g/cm^3
Assume the battery stores pure energy (I know, I know). So E = mc^2, which is like 8.99 x 10^16 J / kg
So that battery would hold about 22.6 g/cm^3 * 3.85 cm^3 * 8.99e16 J / kg = 7.8 * 10^ 15 joules = ~2.2 TWh, about a trillion times more than a normal AAA battery.
Doing some LLM-assisted sleuthing, a large cruise ship can use over 80,000 gallons of fuel a day [1]. A bit of searching indicates marine fuels have a density of approx 39 MJ/L (I'm using volumetric density for consistency), so 80,000 gallons * 39 MJ/L = about 1.1 x 10^7 megajoules = 3.2 GWh.
So a 2.2 TWh AAA battery could power that ship for 671 days.
Of course, the practical physics here are nonsense and there are obvious safety considerations associated with your AAA-sized nuclear weapon, but maybe that's what the author was getting at?
[1] https://blog.windstarcruises.com/how-much-fuel-cruise-ship-u...