The Minimum Exotic Mass of a One-Metre Wormhole Throat

Integrating the exotic matter of a Morris-Thorne throat gives a total that scales linearly with the throat radius. For a one-metre throat the integral evaluates to 1.35e+27 kilograms of negative mass, 0.71 Jupiter masses, or 2.25e+02 Earth masses; its energy equivalent equals what the Sun radiates in 1.00e+10 years. An optimistic thin-shell arrangement that confines the exotic matter to a narrow layer around the throat reduces the figure by one order, to 1.35e+26 kilograms. The verdict is plain: a doorway-sized opening costs a giant planet's worth of negative mass at best, and the linear scaling means the kilometre throat a human traveller's tidal budget demands costs a thousand times more. No arrangement of the exotic region changes the order of the problem. Computed, not measured.