basic differential equations describing our world could give nearly infinite number of soulutions in form of formulas. They all correct mathematically, if you put formula in that basic differential equation it will be true, but that does not mean that they correctly describe our world. Soulutions could include new particles, all that dark matter/enercgy, strings, strapels, whatever shit you want. The only way to check solution is practical experiment (observation for astrophysics).

Math is not a science, it is a language to describe our universe. And as with any other language, you could easily make grammatically correct sentence that will have no any sense.

What astro/partical physics theorists do - is constructing that grammatically correct sentences and then throwing them to practics to find any sense in them. While practics check that "phrase", possibly in very hard, expensive and long way, theorists create 10 more such grammatically correct phrases.

It is practics who have to find that values for formulas you are talking about. And it is much harder in all senses than to pop yet another "sentence".