Well that tears it.
We will need to enclose the solar system in a large sphere made of lead.
We can’t just do the planet, we need to do the whole solar system.
Lets get started now. We need to implement a lead credit program.
How do you explain this?
I see a possible engineering problem.
Assuming you wanted to enclose the solar system out to 40 astronomical units, just beyond the semi-major axis of the former planet Pluto, that that would be a sphere with a radius of about 6,000,000,000 kilometers.
The area of the necessary lead sphere would be 4.52 x 10^18 square killometers.
A two meter thick lead shell of this radius would weigh about 2.13 x 10^24 tons.
While substantially less than the sun’s mass of 2 x 10^27 tons it is about equal to the combined mass of Jupiter and Saturn. The problem is, they’re not made out of lead and it could take some time to develop the technology to transmute their current elements into lead. The energy cost for this could also be prohibitive.
There is also the problem in that lead doesn’t have the strength to support a hollow spiracle shape of that radius at that thickness.
You might want to consider something like neutronium. In fact, I’d like to propose an alternative solution. Why not build a ring of neutronium, or some similar material, with walls high enough to contain an atmosphere and rotate it with the sun at the center? At least that way part of the population would always be shielded in the event of a GRB at any given time and you could avoid mass extinctions. Has anyone thought of this?
:o)