In the context of the discussion the reference is to the standard cosmological framework because I know the difference between particle models and cosmological models since I teach physics courses.
(Here is an an example I have previously used here in similar discussions.)
"The Big Bang is a series of hypotheses of the Universe incorporated in the “Standard Model” because the Standard Model is the working paradigm for many scientists.
Singularity: The entire universe is theorized to be contained in a point of zero size called a singularity. The energy that would later become everything else is contained in this point, and there is literally nothing that is not contained within it. The energy density would be infinite, and therefore the temperature would be infinite.
The physics discovered by Einstein shows that black holes have a singularity in their exact center which contains all the mass of the black hole. However, the singularity of a black hole is surrounded by space. You can orbit around a black hole in that surrounding space. Every black hole is surrounded by an event horizon – a conceptual sphere marking the “point of no return.” Anything entering the event horizon of a black hole can never leave, and must eventually intersect the singularity. The BB singularity is a naked singularity with no external space.
But: a principle in physics which forbids the existence of a naked singularity is the “cosmic censorship hypothesis”, the principle states that all singularities must be surrounded by an event horizon. Usually, the big bang is arbitrarily exempted from this principle (because it would violate it.) The hypothesis is not proved. There is no observational or experimental evidence for a big bang singularity, nor for any of the conditions associated with it."
The value of this discussion and these new JWST findings is that so many new findings run counter to the Standard Model and that we need to recognize alternative hypotheses to the Standard Model.
If you teach physics, then you know that this presentation is, at best, incomplete, and at worst, you don't really understand the arguments.
First, the Big Bang model and a Big Bang singularity are not the same thing. Modern cosmology does not require that we have a complete description of an initial singularity. In fact, most cosmologists would readily acknowledge that general relativity breaks down at sufficiently early times and that a theory of quantum gravity is likely required. Pointing out that the singularity is problematic is hardly a novel criticism. It's something cosmologists have been discussing for decades. EVERY SINGLE COSMOLOGIST I'VE READ HAS EMPHATICALLY STATED NO ONE KNOWS WHAT HAPPENED AT T=0 AND THE BIG BANG MODEL DOES NOT DEPEND ON KNOWING WHAT HAPPENED AT T=0.
Second, the fact that cosmic censorship may not apply to the Big Bang is not some arbitrary exemption invented to save the model. Cosmic censorship was formulated in the context of gravitational collapse within an existing spacetime. The Big Bang is a boundary condition of spacetime itself. Whether the hypothesis even applies in that context is a big question.
In other words, there is a fundamental difference between what happens at the boundary of spacetime and what happens within spacetime. You are treating the two as though they are the same problem governed by the same rules, when they are not. The fact that cosmic censorship applies to singularities formed within an already existing spacetime does not automatically imply that it must apply to a proposed boundary condition of spacetime itself.
A similar example is cosmic expansion. Distant regions of the universe can recede from one another at an effective rate greater than the speed of light due to the expansion of spacetime itself. This does not violate relativity because the speed of light limit applies to the motion of matter, energy, and information
through spacetime, not to the expansion of spacetime. You can see how trying to apply similar logic for what happens moving through spacetime and the expansion of spacetime breaks down.
Likewise, one cannot simply assume that principles developed for singularities that form
within an existing spacetime automatically apply to a proposed boundary condition of spacetime itself. Those are distinct physical and mathematical situations.
Third, the strength of the standard cosmological model has never rested on direct observation of a singularity. Its success comes from explaining a wide range of observations simultaneously: cosmic expansion, the cosmic microwave background, primordial nucleosynthesis, large-scale structure, gravitational lensing, baryon acoustic oscillations, and much more. Refuting a proposed initial singularity is not the same thing as refuting the framework that successfully explains those observations.
Finally, I agree with you on one point - alternative hypotheses should absolutely be explored. That's how science advances. What I don't agree with is the implication that JWST has somehow overturned the standard cosmological model. So far, every time someone claims JWST has broken cosmology, the details turn out to be considerably more nuanced than the headlines suggest. Tensions and anomalies are not the same thing as falsification.
The real question isn't whether alternative models should be considered. Of course they should. The question is whether those alternatives explain the existing body of evidence better than the current model. That's a much higher bar than simply pointing out unresolved questions.