
author of The First Three Minutes describes the grand quest for a unifying theory of nature--one that can explain forces as different as the cohesion inside the atom and the gravitational tug between the sun and Earth. Wirting with dazzling elegance and clarity, he retraces the steps that have led modern scientists from relativity and quantum mechanics to the notion of super-strings and the idea that our universe may coexist with others. But Weinberg asks as many questions as he answers, among them: Why does each explanation of the way nature works point to other, deeper explanations? Why are the best theories not only logical but beautiful? And what implications will a final theory have for our philosophy and religious faith? Intellectually daring, rich in anecdote and aphorism, Dreams of a Final Theory launches us into a new cosmos and helps us make sense of what we find there.
As I was digging into the literature during my research, I noticed an interesting pattern to his work over the decades. There would erupt a “hot” area in applying quantum field theory, and have lots of back and forth and papers making claims, correcting each other, and being corrected. And then a few months/years later would come a Weinberg paper, handling the matter so systematically & thoroughly that there likely won’t be any more low-hanging fruit in the area!
The whole thing was really impressive given that he worked largely by himself (most of his papers are single-author), and had among the highest average citation count I’ve seen for a theoretical physicist. There is a reason his quantum field theory textbook series is highly respected — he wrought the field piece by piece with his own hands.
Finally, he was an extremely articulate writer, and I have a huge soft spot for his “Dreams of a final theory” — especially his comments on the relationship between theory & experiment, and the scientific method more generally. I really wish more people read that and got influenced by its depth and nuance.
It turns out that the simplified paradigmatic “scientific method” is a very bad caricature of what actually happens on the cutting edge when we’re pushing the boundaries of what we understand (not just theory, but also experimental design). Even on the theoretical front, the principles might be well-understood, but making predictions requires accurately modeling all the aspects that contribute to the actual experimental measurement (and not just the simple principled part). In that sense, the border between theory and experiment is very fuzzy, and the two inevitably end-up influencing each other, and it is fundamentally unavoidable.
Unfortunately, it would require more effort on my part to articulate this, and all I can spare right now is a drive-by comment. Steven Weinberg has some very insightful thoughts on the topic, both generally and specifically in the context of particle physics, in his book “Dreams of a final theory” (chapter 5).
If you don’t have access to the book, in a pinch, you could peruse some slides that I made for a discussion: https://speakerdeck.com/sivark/walking-through-weinbergs-dre...
"...it may be that humans are simply not intelligent enough to discover or to understand the final theory. It is possible to train dogs to do all sorts of clever things, but I doubt that anyone will ever train a dog to use quantum mechanics to calculate atomic energy levels."
The impossibility of dogs doing Calculus is an equally nice example, but I think we could push the point further. Calculus is not only hard and unnatural for dogs; it is hard and unnatural for humans as well. There were anatomically modern humans equipped with culture and language for something like 30,000 years before even one of them understood calculus. It's truly extraordinary that this thing which was at the absolute limits of the human intellect in the 17th century is now taught routinely in high schools and colleges across the world, and used for such mundane purposes as building bridges or stock trading.
Those inclined to optimism could read in this a story about how humans are not like dogs, because culture. (i.e.: "culture allows us to consolidate and simply the understanding of previous generations so future generations can build on it towards almost limitless horizons", etc.). But I'm a pessimist: calculus is still damn hard for nearly all human beings (just ask your average college student). Heck, I found it pretty tough to learn and I ended up getting a masters in math. And - to get back to the article - I'm not convinced that current topics at the edge of human understanding today (string theory, or whatever) are ever going to get 'mundane'. It takes many years of special training and extraordinarily single-minded dedication to even get to the current frontier of knowledge in these areas. At some point, as the article says, perhaps the math just gets too hard.
Fortunately, just because the universe might not be comprehensible by humans (we never get to a successful theory of quantum gravity, or whatever) doesn't mean science itself will have a end. There's plenty to do in other fields.