[4CJ]

4.6e9 years x 4.2e9 kg/s mass lost = 6.1e26 kg loss and a change of 4.6e4 kilometers in mean distance. That's assuming that all mass is lost through nuclear fusion, that our ability to calculate the loss per second is accurate and that the rate has remained constant. There's no way to prove that it has or hasn't. I simply find it hard to believe that the Sun will be burnt out with 99.93% of its mass remaining. Just as I find it impossible to believe that mass simply "popped" into existance from nothingness.

[Doctor Stochastic]

Those things you find "hard to believe" and that are generally accepted may require some study to see why. Stellar evolution is rather well understood.

The total relative mass loss by the Sun from all reasons in only 9.13*10**(-14) per year.

[Physicist]

4.6e9 years x 4.2e9 kg/s mass lost = 6.1e26 kg loss

Very good. And how massive do you think the sun is?

I simply find it hard to believe that the Sun will be burnt out with 99.93% of its mass remaining.

Why? How much would you expect to remain?