In what tangible and demonstrateable way is Lambda-CDM theory any "better" than any other cosmology theory?
Lambda-CDM is what we call a *model*. It's a complete hypothesis for how the Universe evolved from t=early (pre-inflation) to the present.
What do I mean by complete? I mean that the model tells you exactly what its guess is for the law of spacetime, and it tells you its guess for the list of gravitational source terms in the equation. THAT'S IT. Anyone can take this model and evolve it forward in time, make predictions. Other than those four components and standard GR, Lambda-CDM invokes no physics that isn't standard E&M/atomic/plasma/nuclear.
But that's all it is. It's a model.
All scientists do is compare models to data. That's our job. Let's go ahead, shall we?
- The Lambda-CDM model exactly matches the following data: the CMB power spectrum; all CMB polarization spectra and bispectra; all known CMB non-Gaussianity tests; the distribution of galaxy cluster sizes (and its time evolution), velocity dispersions, x-ray virial temperatures, weak lensing masses, and strong lensing masses; the rotation-curve evidence for dark matter in galaxies; the Hubble constant and its time evolution; the lyman-Alpha forest angular size spectrum; the ratio of H/D/He/Li in unevolved gas clouds; the Gunn-Peterson trough in quasar spectra. Scientists know how to quantify the phrase "exactly matches"---we can tell the difference between "fine-tuning 10 parameters to fit 10 data points" and "the various data concurs on the model" using a Chi^2 per degree of freedom---and yes, the match is highly significant.
- The Lambda-CDM model fails to match the following data: nothing whatsoever.
So Lambda-CDM is a good model, according to EVERYTHING SCIENTISTS KNOW about how to compare models to data. Do you know something about model-fitting that we don't know? Is Chi^2 a bad statistic for some reason? Do you have a really-weird Bayesian prior up your sleeve?
Your request for "independent" evidence is dumb; what's our independent evidence for the tau lepton, huh? For the Ice Age? For the idea that Greek and Sanskrit had a common linguistic ancestor? They're all model-data comparisons. Get used to it.
It's a fact that an inflation model gives a GOOD description, a very good description, of the ensemble of cosmology data. (Do you disagree? If so, show math, please?) No one has ever come up with a non-inflation model that gives anywhere near as good a description. (Do you disagree? If so, show math, please?) At the same time, we don't have any evidence *against* the inflaton. (Do you disagree? If so, show math, please?) It doesn't conflict with any current understanding of particle physics and the vacuum. (Do you disagree? If so, show math, please?)
If you can come up with *another* model which also explains the data, good for you---that's how hypotheses work. Please write a paper about it and show us the Chi^2/dof for your model/data fit.
Keep in mind that "inventing a model which explains the data well" has historically been a useful thing to do. Weinberg and Salam "invented" the W and Z bosons in the mid-1970s---in a global fit to data which you'd surely criticize---quite a while before anyone built a collider big enough to discover them. Enrico Fermi "invented" the neutrino in the 1930s, but it remained unseen (except in the unacceptable-to-Mozina sense of "including it makes this other data make sense") until the 1950s. I don't know why the fact "The list of particles in the universe includes a very light, very hard-to-detect particle called the neutrino" doesn't bother you, but the hypothesis "the list of particles includes a very heavy, very hard-to-detect particle called dark matter" makes you think we're crazy. If you don't like standard cosmology because you
generally don't like theoretical models, then I suggest you either get used to it, or that you abandon your hobbyist's interest in physics and instead consider a career as a
tortoise.