Earlier quoted context omitted.
Now, I suppose if the hash-rate is more spread-out over multiple planets, and one planet isn't dominating things might work out. But we might also see consensus break down. I'm no expert, but wouldn't it just be a matter of increasing the target time to solve each block? An solar-system-wide blockchain might need to take a few hours rather than ten minutes between each block, but it should still work.
Yeah, but it is quite interesting what the relevant target times are. Does a 10 minute delay require something like a 10 or 20 minute target time to keep consensus or is it more like 2 hours or even a day? How does is this effected by the ratio of hash-rates over the planets? What happens when you have clusters (say earth - moon and mars - phobos)? In any case, if the target times need to increase by too much, things…
So if a block takes X minutes with a 20% variation at, say, 95th percentile, and the inter-planet latency is 10 minutes, then I think the target time (X) must be more than 100 minutes, so that if Earth mined the last block, Mars can receive it 10 minutes late and still have a chance of mining it first and reporting it back before Earth finds it.
But I'm probably totally wrong :)