I think the key thing is about how dense the ‘fuel’ (the atmosphere) is.
* Assume the atmosphere near the bomb undergoes fusion.
* It will release some extra energy beyond that of what the bomb produced.
* Is that energy enough to fuse at least slightly more air than was just fused?
* It turns out that the air on Earth is sparse enough, that the energy provided by a bit of it fusing, isn’t ennough to fuel an increase amount of air fusing.
* Therefore, there won’t be an endless chain reaction that ~ignites the whole atmosphere.
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