It seems like at least re-burning the carbon that's already in the air is better than burning new dug up carbon? This is at least not net atmospheric carbon positive. You can do sequestration too...
In this case; how do they recombine the CO2 into more complicated hydrocarbons? And if it’s energy negative, is it better to do this, or to use it to capture carbon?
Fischer–Tropsch process.
> And if it’s energy negative, is it better to do this, or to use it to capture carbon?
It's obviously "energy negative", as it would be a violation of thermodynamics for it not to be, entropy being how it is. As far as doing it over carbon capture, I would be more interested in hearing your thoughts on why carbon capture would be a better alternative.
Formula 1 plans to move to synthetic fuel in 2026:
Burning and recapturing is a carbon positive process without separately trying to recapture carbon out of the rest of the air.
The air at large has a very low concentration of CO2, so the capture is unfavourable. Your apparatus is only going to touch so many CO2 particles to recapture them, asides from CO2 being energetically favourable
And, once you have sequestered them, the sequestration also has to worry about leaks.
If you're using a synthetic fuel, those leaks move you from -100% net release towards 0% net release.
If you're using newly mined fuel, the leaks move you from 0% release towards 100% release
This doesn't account for the energy requirements to create the fuel
The marketing blurb for this fuel can say: we only kill birds! (Because wind turbines)
Bats too. They don't even need to hit the bats to kill them. The difference in air pressure around the blades is enough to rupture bat lungs:
https://www.newscientist.com/article/dn14593-wind-turbines-m...
https://www.scientificamerican.com/article/bat-killings-by-w...
https://www.nrdc.org/stories/heat-wave-australia-killed-2300....