i am not saying the steady state theory is correct. i am saying we cannot say the big bang theory is authoritatively correct
Science isn't very good at conclusively proving things, but its awfully good at disproving things.
For the steady state theory to be true, a few things must be true. We would have near amounts of light bombarding us, since the universe would have been around for an infinite amount of time at an infinite size thus being able to shoot infinite amounts of light in all directions for the forever that preceded. This *clearly* is not the case.
Secondly theres none of this "local" vs "non local" observation in the steady state universe. Its *premised* on uniformity in the universe, that is anywhere in the steady state universe looks the same as anywhere else. This is a problem, because we know that whilst the universe is kinda isotropic in some respects, its certainly not perfectly so. Theres nowhere in the steady state theory for the "but what if its different over the horizon" argument to hide, because 1) No horizons in the steady state, and 2) Steady state predicts perfect spatial isotropy. 3) Steady state predicts perfect temporal isotropy. This *can't* be true . Where are the radio galaxies in the local neighborhood. Where are the quasars. Things are DIFFERENT now then when we look back a bunch of billion years (away)!
Theres also the fact that General Relativity is incompatible with the steady state theory, for reasons outside of my mathematic skillset to fully understand.
Finally theres the MBR, and this is the big one. We know the MBR is basically a black body radiation. Something "banged" that isn't banging now.
To wit
The steady state model does not appear to agree with the observed dL versus z relation or with source counts ... In a sense, the disagreement is a credit to the model; alone among all cosmologies, the steady-state model makes such definite predictions that it can be disproved even with the limited observational evidence at our disposal. The steady-state model is so attractive that many of its adherents still retain hope that the evidence against it will disappear as observations improve. However, if the cosmic microwave background radiation . . . is really black-body radiation, it will be difficult to doubt that the universe has evolved from a hotter, denser early stage. - Steven Weinberg
Steady State is a dead theory , and its been dead for the better part of a century. Time to give it up bro.