The Total Exotic Energy of an Alcubierre Bubble at One Hundred Metres

Integrating the energy density of an Alcubierre bubble of radius one hundred metres moving at light speed gives a total exotic energy of 1.01e+47 joules for a one-metre wall, equal to 5.64e-01 times the entire mass-energy of the Sun, or 5.91e+02 Jupiter masses in equivalent mass. Thinning the wall makes the requirement worse in direct proportion, and at a Planck-scale wall it reaches 1.01e+79 joules. The verdict is plain: at a radius useful for carrying a vehicle, the energy requirement is not an engineering gap but an astronomical one, exceeding stellar budgets by orders of magnitude even before any question of how negative energy could be produced or shaped. Every figure here is computed from the stated thin-wall scaling, not measured.