But there was literally no math done here, my dude. OP just quoted measured temperatures of our sun at its current mass and radius. Basically all this post is saying is "if the sun was on Earth, things on Earth would die". There would be no stick for the sun to be on.
If you didn't change the fact that the "sun" on top of the Sun-on-a-Stick does not have a radius of 69.63 billion cm, then you can start to "do the math". It's still a ridiculous concept with all conclusions leading to "everyone would be dead", but at least you'd be talking about the weapon that is not just the sun engulfing the entire Earth.
Now for some "back of the envelope" application of physics to complete bullshit: using this graphic's height approximation for Scout, he stands at about 178 cm tall (which sounds fairly reasonable - he'd be about 5'10). If we apply this height to this crappy side-by-side comparison of Scout to the SOAS I made sloppily in SFM, we can approximate just how big the SOAS' sun is on the top. Scout measures at 522 px tall, so a pixel is approximately equal to 0.34 cm. This makes the SOAS, which has a diameter of about 55 px, have a radius of 9.35 cm.
Let's say that the SOAS for some ungodly reason has the same mass and luminosity (energy emitted by an astronomical body per unit of time) as the sun does now, which are about 2*1033 g and 4*1033 ergs/s, respectively. Because we already know there is absolutely no way a human being would be able to lift something with that mass on Earth, let's just ignore that and talk about temperature, like OP was focusing on in their post.
The relationship between luminosity, radius, and temperature for a star (for a blackbody, which I'm going to treat this as because this just a bunch of approximations and I'm still treating the SOAS as a star because OP did too) follows the Stefan-Boltzmann law, which is this equation:
L = 4πσ*(R2 )*( T4 )
where L is the luminosity, σ is Stefan–Boltzmann constant (5.67*10-5 ergs/(cm2 * K4 * s), R is the star's radius, and T is the effective temperature. Rearranging this equation and replacing the radius of the sun with the radius of the SOAS, the SOAS's sun would have an effective temperature of over 503,000,000 K - or about 500,000,000 C and 900,000,000 F.
Everyone is still dead though for a multitude of reasons. Due to this bullshit theoretical SOAS.
TL;DR I made a shitpost shittier with pointless calculations about the Sun-on-a-Stick. The Sun-on-a-Stick is never going to be overpowered.
