It depends how many of these minors are near the sun. If the minors near the sun start mining on top of blocks discovered near the sun, then they have the head

It depends how many of these minors are near the sun. If the minors near the sun start mining on top of blocks discovered near the sun, then they have the head start again. This means there would me many more chain re-organisation, and that a 50.1% attack would be easier, so the network less secure.