This statement, upon which all of your argument is based, is rubbish.
No amount of technical sounding argument can prove the sun can’t sustain us, like it has done nature for millions of years.
But there is plenty of actual technical Engineering which shows that it can, and must.
So we have to question why you are so determined to try to undermine that Engineering with lies.
To me, it is clear you are part of the establishment which wishes to maintain the ability to enforce scarcity.
You might be an investor sitting on an amount of capital, or a paid corporate troll.
Either way you are wrong, to try to lie about the way physics, and energy actually works.
You are trying to perpetuate an illusion of scarcity, which is costing all life on Earth, no less.
It is your poisonous mindset and relentless propaganda which is preventing people learning what is the solution.
That, is the root cause of the scarcity and death.
We should all see that clearly now.