Add that to a bare bones optics lab with a few staff and you will be running about $1 million startup costs for benches, lasers, optics, closed loop cryogencics, He4, interferometers, etc, plus half a million a year salary costs for 3-5 people in a low cost of living area.
It would also need job security to be competitive with going into something like data science, making the startup costs a careers worth of funding otherwise it would be insanity to choose.
Source: PhD in quantum optics, no longer do science.
Newton and Cavendish didn't have any of those, except that Cavendish had retirement savings. So while not having houses, cars, retirement savings, the ability to raise a family, and a decent quality of life might be a reason for not achieving more than Newton or Cavendish, it's not a reason for achieving less.
(I suspect that raising a family is actually counterproductive. I've seen an awful lot of promising researchers of both genders stop publishing after their first baby.)
I don't have any of those things, but while I'm no Newton or Cavendish, I can't attribute the difference to my lack of a car. Most of the people in my country don't have any of those except for houses; most of the people here who own houses built them with their own hands rather than buying them.
It's true that if you have to choose between going into data science and owning your own house and car, or doing quantum optics while living in poverty, the former is a lot better for you. But for most of us it's not an either-or choice:
1. Why not both? Lagrange did a significant amount of his work while subsisting on a day job teaching ballistics to gunners. Vipul Ved Prakash wrote Vipul's Razor by working one month out of the year in Delhi, then spending the other 11 months up in the mountains working on whatever he wanted to. Sidis deliberately didn't do anything others would consider useful, surviving on a series of menial jobs, but if he'd turned his formidable intellect on the problems of automatic computation or chemistry instead of collecting streetcar transfers, possibly he would have made significant progress. I've been living on US$6k a year, so a single year of a US$250k salary and stock package at Google or Fecebutt would allow me to survive for 40 years.
2. For most of us, it's neither. Most people don't have a data-science job available, or cars, or job security, or retirement savings. Given the choice between spending your spare time on watching Westworld and setting up experiments with Kerr cells and third-harmonic-generation crystals, what could possibly make the former a better choice? Though I'm one to talk! Here I am wasting my time commenting on the orange website, arguing about physics with people (who aren't you) whose understanding of physics evidently comes from WGBH Boston.
So, while I agree that everyone should live in material abundance, I don't agree with your apparent conclusion that more abundance of non-experimental-apparatus material goods would boost the world's research productivity. Many more people can buy houses, buy cars, have retirement savings, and raise families than 50 or 100 years ago, while the speed of scientific advancement has increased only modestly.
Physics is done using the true scientific method. First you make a theory, then you make experiments to test the theory. Theoretical physicists made a theory and proposed some possible experiments to test it. Then 50 years later data was found in those experiments to match the theory. What we lack today to further physics isn't experiments, we lack theories that are well formed enough that we can perform experiments to test them.
Edit: The problem with physics today is exactly like back then, we have no predictions to test. If someone comes up with a new theory that joins quantum physics with gravity in a way that is consistent with all past experiments, then we can test that. But there is no such theory today, nobody has figured out a way that the domains can work together.
But, aside from these big problems, many smaller problems are susceptible to experimental investigation. You may not create an Einstein-style paradigm shift by detecting CNO-fusion neutrinos from the sun, observing Higgs decay, improving quantum-dot solar cells, fabricating nanotube rope whose strength approaches that of a single nanotube, understanding the lubricity of BAM well enough to design more similar materials, deriving useful energy from the fission of lithium, making a metamaterial with a higher Young's modulus than diamond with negative-elasticity inclusions, constructing logic gates out of fluid vortices, building a usable hypersonic plasmoid pistol (one that doesn't require explosive flux compression pumping!), building transistors that function at 800 degrees, finding a SHS route to cubic boron nitride, making a 50-tesla magnetic field in the lab, finding a way to construct quantum-dot solar panels that's cheap and scalable enough to undercut poly-Si, confining a particle of gold in a stable minimum of the Casimir potential, or finding a way to fabricate high-quality optics apparatus rapidly out of aluminum foil; but the obstacles to these problems are (or were) mostly not that we don't have any useful hypotheses to test.
Actually, Kepler came before Newton. Kepler's laws of planetary motion were derived from observations of others. They also follow straightforwardly from Newton's laws of motion. In particular, Kepler's second law is equivalent to conservation of angular momentum. Kepler's third law is equivalent to "Newton's universal gravitation + conservation of angular momentum". And Kepler's first is a consequence of Newtonian kinematics. That is to say, Newton generalized Kepler's laws.
The order is:
1. Astronomical observations (Brahe et. al.) 2. Kepler's laws 3. Newton's laws + universal gravitation.
Similarly with Einstein: His theoretical treatment of Brownian motion was based on observations by... Robert Brown half a century ealier. The photoelectric effect (for which Einstein was awarded the Nobel Prize) was an extension of theoretical work by Plank, who started theorizing to explain observations made by Hertz.
Special Relativity resolved a conflict between E&M and Mechanics, but it was really needed to explain why the Michelson-Morley experiment couldn't find a difference in the speed of light, despite increasingly-sophisticated apparatus (which was an unsolved paradox for a quarter of a century before SR was invented).
And, while not on your list, quantum theory had many experimental inspirations. The Millikan oil drop experiment, for one. And spectral lines in stellar observations, for another.
Einstein's work on relativity (01905) was inspired by the Michelson-Morley experiment (01887), less than 20 years before, and its many improved replications. His work on the photoelectric effect was inspired by Hertz's experimental discovery of it (also 01887), followed by numerous further experiments which clarified the nature of the effect. Although Brownian motion had been observed, in some sense, since Lucretius (00060 BCE), Brown's 01827 observations under a microscope less than a century before were crucial to Einstein's theorizing about it.
Newton's work on orbital mechanics, which gave rise to understanding of universal gravitation (published 01687 but finished years earlier), derived from Kepler's laws of planetary motion (01621, say) and his published tables of planetary observations (01627), the Tabulae Rudolphinae. Not coincidentally, Kepler is also known for his dramatic improvements in the tele-scope, but much of the improvement in the Tabulae was actually due to the meticulous work done at the pre-telescope observatory of his predecessor Brahe, a huge stone structure.
Certainly the traffic between theoretical physics and experimental physics is not entirely a one-way flow from experiment to theory; that would lead only to the sort of overfitting we find in Ptolemy. But neither is it, as you paint it, entirely a one-way flow from theory to experiment.
It's probably true that we aren't going to resolve the problem of quantum gravity, dark matter, or consciousness with experiments, because our theories aren't good enough to design the experiments yet. But turbulence, magnetohydrodynamics, and especially quantum computers are eminently subject to experiment.
(Although I disagree with your comment, it certainly seems to be made in good faith, so I deplore the knuckle-draggers who are downvoting it.)
Possibly you intended to post your comment in reply to one of Jensson's comments rather than mine?
Rajchman had two students, one of whom (Antoni Zygmund, who also studied under Mazurkiewicz, and founded the Chicago school of analysis) had 40 students, five of whom had over 100 students of their own. 18 of those 40 had at least one student of their own. Consequently Rajchman had 1658 descendants in only a century, a mentorship growth rate of 7.7% per year despite Rajchman himself having his career cut short by being murdered by the Nazis in 01940 and apparently ceasing to mentor anyone officially for the previous 15 years of his career.
I can buy more people in physics working on more problems. There are a wealth of interesting problems in physics and more people all going in different directions would be great. But ten times as many people working on the LHC? A hundred times as many people working on string theory? I don't buy it.
To me, the ideal model of fully open, accessible research is the speedrunning community. I don't see speedrunning as all that different from experimental work. You probe, you hypothesize, you have breakthroughs, you compete in what's generally a pretty healthy way, and you communicate and document. Look at how this scales, how many people get in and get obsessed, etc. To really master quantum hall, you need to have have a devotion to the field that's comparable to "completing Super Mario 64 with half an A press."
There might be a path forward in the work on making computational work easily reproducible, by people like Konrad Hinsen, Yihui Xie, Jeremiah Orians, Eelco Dolstra, Ludovic Courtès, Shriram Krishnamurthi, Ricardo Wurmus, and Sam Tobin-Hochstadt, but clearly it hasn't been a panacea so far. Speedrunning results are in many cases reproducible by virtue of nailed-down console hardware and bit-identical game images, but that's harder to achieve even for FEM simulations of turbulent MHD systems, much less actual experimental MHD systems like a Farnsworth fusor.
How do people initially get up to speed on speedrunning? Are there tutorials, the equivalent of a textbook with problem sets, some other onramp? Can we gamify learning quantum mechanics? (I've tried QiskitBlocks but so far haven't been impressed.)