Questions:
Suppose a group of people get transported back in time (say 2500 years). Then, in a manner reminiscent of A Connecticut Yankee in King Arthur's Court, they try to re-design modern technology. Assume that there's no shortage of labor or materials; the only real lack is knowledge.
What kind of group would have enough knowledge to recreate modern technology within 50 years? Would one average college-educated person be enough, or would it take hundreds of experts? Would there be any particular points that they would get stuck at?
For argument's sake, we can define modern technology as: laptop computers, kidney transplants, DNA sequencing, artificial satellites, and nuclear power plants.
Answers:
Our intrepid time-travelers really have their work cut out for them!
To make this possible, let's hand wave the problem of language and religion, and say they got really lucky and wound up in a country that is eager to learn and listen. This is a big hand wave, but let's at least give them a shot to try before getting executed straight away or having to overcome a language barrier.
The big thing they will need to realize is that it will be simply impossible to jump straight from 500BC to 2000AD all in one straight step! Let's use the Wikipedia handy-handy
List of Technologies to see what we can hope for in 500BC!
According to the
History of Metallurgy, we can say that our locals have access to iron and have been using it for a while, and a it is pointed out that even steel has been discovered and used! However, until right around 500BC in China no one had a furnace that could actually melt steel, so no cast iron - but that's right when we arrived! Note that the first iron foundry in Europe as put at 1161 AD - 1600 years after China. That could cause us a problem if we land in Europe...
But let's hand wave this little geographic problem and pretend we have actual access to iron, charcoal, and a furnace hot enough to make limited amounts of cast iron and steel.
To further orient ourselves, consider that we have to hope to be in an area where
petroleum is available to us for things like tar and asphalt, which is actually possible - hey, China did it! It sure seems easier to land in China in 500BC and get to work there, doesn't it?
Anyway, we've got clean running water, iron, a hot furnace, oil, copper, bronze...holy crap, we don't even have PAPER? We're about 1000 years before the first
Persian windmills? Well, we've got papyrus and animal skins and clay tablets for writing, so I guess we'll make do.
Let's Make a Computer!
...right, so remember what I said about not trying to jump ahead? Obviously we are going to need some silicon to get any kind of recognizable computer made, and that stuff is just sand, right?
Well, not exactly. Remember that great iron melting furnace? Iron melts above 1500 Celsius, but to refine even
metallurgy grade silicon we need to get over 1900. We now need to make a kiln hot enough to make glass, which the internetz say is way hotter than needed to make cast iron. Which is weird, because the internetz say cast iron was so hard to make because they couldn't get the furnace hot enough to melt iron, and yet they could melt glass? Hm. Hand wave, we build a furnace to melt glass!
Now we could get this far in a few months, with lots of labor help I'm sure. But now we have a problem. We can now make glass and even get ourselves some silicon, but it isn't pure enough to use in even friggin' basic electronics - much less computers! We supposedly need over 95% pure silicon for basic electronics, which was first done
seemingly around the early to mid 1900s.
I honestly can't understand half the real technical material, so this college-educated single person with the internet at his hands would fail right here. I think we need to try crushing and putting through an acid bath, but where do we get such pure acids? That will take refinement, and a whole ton of chemistry, I honestly don't know how hard it is or how long it will take to get enough, pure enough, to get even remotely close to pure enough silicon.
And the thing is,
that isn't nearly enough. We are going to need a handful of weird elements sourced and purified, from aluminum and boron to gallium. We need a clean room, air filtration, anti-static measures - these people don't have air filters! We will need electricity here, and how can we know without trial and error we got it right and have things pure enough? This is going to soak up a lot of time and specialist man power unless we have special instruments and ultra-precise tools to help us - and guess how much work that will take to build?
I'd say that with a team of specialists, all the worlds combined internet knowledge and the library of congress, we are at least a few years in and don't even have silicon of the proper grade. I don't know that with trial and error alone that it'd be doable, so we probably can't even progress here until we go backwards and invent some pre-requisites.
It's Not All Just Knowledge
Another problem we run into very soon is that it isn't all about knowledge itself, but arts, crafts, and skills. If you want useful chemistry and/or refinement, you're going to need thing like suitable lab equipment, such as test tubes and piping. Using crude metal scruples will contaminate the process and ruin it (or will fail spectacularly as with acids for advanced chemistry in metal or stone containers), as will crude methods of providing heat and flame unless you seal things properly.
When it comes down to it, glass-working and metallurgy are arts too - especially without functioning preprogrammed robots! You'll need skilled craftsmen to even begin to shape stuff resembling what you'll need for crude methods, and without automation or mass production they'll need trained assistants and heavy labor and months or years to handcraft the stuff we're going to need.
This Is Getting Toxic
What's worse, to start moving towards the first electronic devices we start facing some amazingly dangerous substances. Poisons, strong acids, aerosols, particulates, flammable/explosive gasses, toxins - without the right tools, pure hard work and persistence will kill everyone involved.
Safety measures will be needed. We're probably going to need some pretty good plastics to get out of this process alive, and...
We Are Going To Need A Bigger Boat
The thing is, our technology has pre-requisites - a history. It's easy for us not to think about it, but the things we have now are refinements and combinations of things that were invented before, which themselves are refinements and combinations of other things from before that, and on and on...all the way back to ancient history.
While we can certainly speed things up as development didn't take a straight line (and never will), it isn't the result of a few brilliant insights. It took many thousands of smart people, who learned methods from thousands of smart people who came before, who learned from thousands of smart people who came before, who together labored for effectively thousands of life times and drew together the work of hundreds of thousands of people across the last 2500 years just to get from "what's paper?" to "OK, Google".
There are lots of cool stuff we could have known about that others have pointed out (from soap and the importance of washing your hands and the importance of sanitation), but also is might be naive of us to think it's just because people didn't know they shouldn't throw corpses in with the drinking water; it was the result of a lot more than mere ignorance.
Lots of awesome improvements could be made, but fast-forwarding 2500 years in 50 years is going to take a herculean effort from many people, and they are definitely going to need more than the knowledge that they carry around in their head.
This is definitely something you can make an interesting story from, but the ultimate answer to the beginning question is: hundreds or thousands of experts, probably a lot more than 50 years, and they are going to need more than their own knowledge and memory - Wikipedia won't be enough, I assure you!