So, in other words, you're just making this stuff up. Again.
You mean like Einstein made up Special Relativity?
Special relativity doesn't involve the daft idea of "sky mirrors"
by the way, I actively disbelieve that the sky mirror could even do what it's meant to without causing some pretty major side-effects that we just don't observe. For instance, given that it is above the sun, it's not going to obstruct the path of the light it emits, so the sun should be completely visible as it passes over, until it's too far away. But to have a 14 hour day somewhere in the southern hemisphere (and only one sun at any one time), your "sky mirror" will have to project an image of the sun, to appear the exact time it would otherwise "set", and keep projecting this image (presumably it would need to rise again) for a significant amount of time. So, the sun would need to rise and set at least twice in just the one day. Or, you would need more than one image of the sun.
You'd have done better with a refractive material of some sort. At least then it could create (to some degree) the kind of pattern of light observed, without the danger of multiple images of the sun or other side effects. In fact you could have called it "the refraction object" if you wanted.. but the fact you spouted that rubbish about sky mirrors instead, just makes another failed FE attempt at explaining an RE world.