You can keep reinforcing the vacuum chamber, but by the time it's strong enough, it'll be too heavy for the buoyant forces to lift it.
For example, a small maglev running around the inside of the vacuum sphere would steady outward pressure on that part of the sphere. Add more trains at different angles to even out the forces.
As a bonus, this kind of "active structure" can dynamically vary its structural strength as atmospheric pressure changes with altitude or weather.
See Orbital Rings for more info.
Sounds like it's feasible but a materials/engineering challenge.
- Build a pressure vessel to withstand the differential to the atmosphere
- Let the helium do the pushing from the inside but make the thing 14% bigger
I don't see how the vacuum ever wins.
For one, if you have a pressure differential, you need to care very much about even the tiniest leaks. A surprising fact about airships is that they don't actually have to be very gas-tight to work just fine. As people found to their surprise in both world wars, you can shoot an airship full of small holes and it only very slowly degrades in performance.
3 ways.
- Vacuums aren't combustible.
- Vacuums can be created without sourcing a gas.
- Vacuums allow you adjust buoyancy without requiring you to carry extra gases.
The major downside of a vacuum is finding something ridged enough, light enough, and cheap enough to maintain a vacuum.
A vacuum (or near vacuum) would provide more lifting force per liter, would not have the scarcity problem of helium nor the safety problem of hydrogen, and assuming the thing that generates the vacuum is transportable, it'd eliminate the need for separate ballast.