No.
Mr. Lerner provides no evidence for the new JWST data causing a major crisis in cosmology, nor that "The Big Bang didn't happen"; other cosmologists disagree with his conclusions. The "panic" was a pun.
Along the way he misrepresents other scientist's reactions to the data, and misrepresents his own conclusions as if they came from other's papers.
The new JWST results have big implications for our theories of early galaxy formation. None of the papers references call into question the Big Bang. While Mr. Lerner published papers before the JWST data dropped, claiming he knew what it would find and drawing conclusions based on his speculation, I'm not aware of his having written any new papers since the JWST data drop. Nor am I aware of his having revised his speculative papers.
He instead lists the JWST implications on early galaxy formation, draws his own conclusions about the Big Bang, and then non-sequiturs into his own discredited 30 year-old cosmological theories from his own book "The Big Bang Never Happened: A Startling Refutation of the Dominant Theory of the Origin of the Universe".
The "Panic!" Is a Pun.
Mr. Lerner writes...
One paper’s title begins with the candid exclamation: “Panic!”. Why do the JWST’s images inspire panic among cosmologists?
They don't. The "panic" is a pun in a paper title that was somehow taken seriously.
He's referring to "Panic! At the Disks: First Rest-frame Optical Observations of Galaxy Structure at z>3 with JWST in the SMACS 0723 Field" by Leonardo Ferreira et al. The paper is about unexpected observations of galaxy disks. "Panic! At The Disco" is a band. Thus "Panic! At the Disks".
Professor Mike Merrifield of University of Notingham, specializes in galaxy formation, evolution, and structure. Sixty Symbols recently interviewed him on the topic: The Panic Paper (JWST). I'll be referencing this interview throughout the answer.
So the confusion is that various people didn't get past the first word of the title, which is "Panic!". That's because this is one of these things astronomers do from time to time... which is to make a joke in the title of their paper.
It's been grossly misinterpreted as somehow changing the paradigm of the Big Bang or making it appear that cosmology has to be completely different from what we thought it was. It doesn't do any of those things.
It's been grossly over-interpreted by various people as implying that we're in a state of panic by this result that these people have found. We're not, but it's just an interesting result.
Mr. Lerner Misrepresents Other's Conclusions
Mr. Lerner writes...
And what theory’s predictions are they contradicting? The papers don’t actually say.
They do. They're about how JWST potentially gave improved data about early galaxies which contradicts previous Hubble Space Telescope data. If true, this has big implications for our theories of early galaxy formation, but it does not disprove the Big Bang.
For example, Mr. Lerner references "A very early onset of massive galaxy formation" claiming it disproves the Big Bang...
But a paper to be published in Nature ["A very early onset of massive galaxy formation"] demonstrates that galaxies as massive as the Milky Way are common even a few hundred million years after the hypothesized Bang. The authors state that the new images show that there are at least 100,000 times as many galaxies as theorists predicted at redshifts more than 10. There is no way that so many large galaxies can be generated in so little time, so again-- no Big Bang.
His description of the paper is accurate, however the conclusion that "there is no way that so many large galaxies can be generated in so little time" is Mr. Lerner's own. The paper only mentions the Big Bang three times. And right in its abstract it references the Big Bang having happened...
From these first JWST images we infer that the central regions of at least some massive galaxies were already largely in place 500 Myr after the Big Bang, and that massive galaxy formation began extremely early in the history of the Universe.
Mr. Lerner Misrepresented Dr. Kirkpatrick
The single person Mr. Lerner quotes for his "panic" claim is Dr. Kirkpatrick, Assistant Professor at Department of Physics and Astronomy at The University of Kansas. He quotes a tweet of hers, out of context, to support his panic claim.
Since that hypothesis has been defended for decades as unquestionable truth by the vast majority of cosmological theorists, the new data is causing these theorists to panic. “Right now I find myself lying awake at three in the morning,” says Alison Kirkpatrick, an astronomer at the University of Kansas in Lawrence, “and wondering if everything I’ve done is wrong.”
Dr. Kirkpatrick's Twitter account title is currently "Allison the Big Bang happened Kirkpatrick" and her description says she has been "accused of saying there was no Big Bang".
She later tweeted "In case you are still confused, check out this nice summary by @dctrjack" linking to "No, James Webb Space Telescope Images Do Not Debunk the Big Bang".
Dr. Kirkpatrick also made it clear that while she does study black holes, she is not a cosmologist.
To all my new followers--welcome! I am NOT a cosmological theorist, despite what you may have read in the media. I'm an observer, and I study black holes!
What Do The Papers Actually Say?
Professor Merrifield said previous images from Hubble Space Telescope implied that early galaxies were...
...very messy, very chaotic things with blobs all over the place, they didn't look nice and smooth, they didn't look nice and symmetric the way that galaxies do in the nearby universe. That sort of made a bit of sense because, you know, presumably things were kind of chaotic back then; galaxies were just forming so you wouldn't expect things to have settled down to be quite so well behaved as they are now so you might expect things to be a bit more of a random nature.
What the "Panic!" paper claims is that JWST is...
...finding that actually most of the galaxies, even those in their infancy, are actually quite well behaved, quite symmetric, and they're almost all, well at least half of them, are disk-like systems. You know, they've got this ordered motion of a disc in them. So not only do they appear ordered, but probably the motions within them are quite ordered as well. And that, again, was not what we'd thought from the Hubble Space Telescope data. From the Hubble Space Telescope data it looked like, at those kind of early epochs, maybe 5% of galaxies were in discs. Now they're finding actually 50% of these galaxies have a disk-like structure, so almost 10 times as many.
So it was a very unexpected result, hence the "Panic!", but it's not, you know, turning the Big Bang upside down. It's turning our understanding of how galaxies form upside-down, but it's not revolutionizing absolutely everything.
Professor Merfeld again...
From the Hubble Space Telescope data it looked like, at those kind of early epochs, maybe 5% of galaxies were in discs. Now they're finding actually 50% of these galaxies have a disk-like structure, so almost 10 times as many.
So it was a very unexpected result, hence the "Panic!", but it's not, you know, turning the Big Bang upside down. It's turning our understanding of how galaxies form upside-down, but it's not revolutionizing absolutely everything.
We previously thought the earliest galaxies were fairly chaotic. JWST shows they're more orderly than we thought. While this does have implications about our model of the early universe, cosmologists are not panicking, nor does it disprove the Big Bang.
Mr. Lerner's Papers Are Not Based On JWST Data
Are these claims that JWST data cause a fundamental crisis for Big Bang cosmology accurate, or are they incorrect/overstated?
Mr. Lerner's recent papers are not based on actual JWST data, but what he thinks the JWST data will be.
He published three papers before the new JWST data was available and, as far as I'm aware, have not been updated since. Nor have they been accepted by any journal. "The Big Bang Never Happened—A Reassessment of the Galactic Origin of Light Elements
(GOLE) Hypothesis and its Implications", "Observations of Large-Scale Structures Contradict the Predictions of the Big Bang
Hypothesis But Confirm Plasma Theory", and "Will LCDM cosmology survive the James Webb Space Telescope?". In "Censored Papers Demolish the Big Bang Hypothesis", co-authored by Mr. Lerner, he claims those papers will "demonstrate conclusively that the Big Bang never happened" despite being speculative.
In "Will LCDM cosmology survive the James Webb Space Telescope?", Mr. Lerner has already concluded "that the JWST will provide data incompatible with LCDM cosmology, forcing a revolution both in astronomy and fundamental physics" despite not yet having seen the JWST data.
Mr. Lerner is president of LPPFusion, a fusion power company. "Focus Fusion" published "Scientists Protest Censorship in Cosmology" (24 scientists, to be exact) on LPPFusion's web site. "Focus Fusion", likely a socket puppet for Mr. Lerner, decries the rejection of his papers by Monthly Notices of the Royal Astronomical Society (MNRAS). MNRAS said...
The question in the title, "Will LCDM cosmology survive the James Webb Space Telescope?", plainly has the answer "No one knows" since there is as yet no data. … In any event, the authors’ claim at the end of the abstract that they already know that JWST’s data will be incompatible with LCDM is plainly unscientific.
There are many journals which would be interested in publishing a well-argued synthesis of existing evidence against the standard hot big bang interpretation. But MNRAS, with its focus on publication of significant new astronomical results, is not one of them.
The papers were rejected because they were not based on any new data, rather they were based on what they predict JWST will produce. He was told such speculation was off-topic for MNRAS, but maybe another journal would publish it. Mr. Lerner decries this as "censorship".
Lerner makes the claims that the only reason the Big Bang theory exists today is due to institutional inertia and suppression of dissenting views...
Is the same "institution" which launched JWST, one of the riskiest and most expensive science projects ever, to improve our understanding of the universe now rejecting the implications of its observations?
The irony of decrying institutional inertia while declaring concrete conclusions based on his own speculations is apparently lost on Mr. Lerner.