Earlier quoted context omitted.
Sure, with enough energy we can do whatever we want, but we just do not have enough clean energy, that is the very problem carbon capture is supposed to address.
So... No. That's almost certainly a dumb idea. Always was. A red herring from the fossil fuel companies. Obviously digging 1000kg of coal out of the ground, burning it to make electricity, and using that electricity to _synthetically create more coal_, and putting that back deep underground, is not going to put away even 100kg of carbon; You're probably lucky if you get 10kg given that CO2 is a trace gas. You can do…
Burning fossil fuels for energy to then unburn carbon dioxide is of course idiotic, one has to use renewable energy sources. If you could make more synthetic fuel than you put into the process, then you would have a perpetuum mobile. That is also why my comment says clean energy. But even then, read my other comments and you will see that I am extremely sceptical because of the scale of the problem.