I'm afraid you might not appreciate or fully understand your "hypothesis". What do you mean "perfectly insulating"? I'd guess you mean made of a material that reflects 100% of the electromagnetic radiation (emr) incident on it AND acts as a barrier to all of the solar wind colliding with it. There is no such material. There never will be such material. Matter is, by definition, electromagnetic, and so will interact with emr. And let's not even get into what about the neutrino flux, or what the size of such a sphere would be and how it would support its own mass, or...) I suppose someone who had nothing better to do could write a program to model such a thing. Of course, you didn't specify how such a thing could remain impervious to the Sun's gravity, nor what its diameter would be, but those are trivial compared to your more impossible assumptions. One of the problems is modeling this requires unphysical (magical) behavior at its surface. I'd guess that simply assuming it to be an elastic which reverses the momentum of any particle (photon, ion, or atom) hitting it might be possible...but what about the magnetic fields? Any such model can't be internally consistent, and I doubt any results could be relied upon. The rules of Logic state that a single false premise in any argument is sufficient to deduce ANY conclusion. This means if we assume 1+1 = 3 then we can prove anything (mathematically speaking) whether it's true or not. This same "you can't assume something false is true" rule holds for physics, too. Garbage in, Garbage out. Sorry. If the Sun was thermodynamically an Isolated system, it would eventually attain equilibrium. My guess is that temperature in the core would increase and you'd eventually have one heck of an explosion, but this is magical thinking, and not worth the paper I'm (not) writing it on.