It’s wise to consider how non-hindsight might have been harder. It’s even wiser to consider, for each training example, what general heuristics might’ve helped anyway.
But such obviously was not the case for uranium in its natural form, or the substance would long ago have ceased to exist on earth.
But there ought to be some unstable elements that hadn’t fizzed by themselves in natural aggregations and purities, and many such, and these might be manipulated by humans. If something doesn’t happen naturally, are you in a situation where you’re likely to be learning about a randomly placed lower bound that’s probably randomly far above you, or in a case where you’re learning about a nearby lower bound that probably has some things right above it?
However energetically interesting a reaction, fission by itself was merely a laboratory curiosity.
Sounds like an absurdity heuristic; this is a bad general lesson to learn. “Laboratory curiosity” foresooth.
Only if it released secondary neutrons, and those in sufficient quantity to initiate and sustain a chain reaction, would it serve for anything more.
Which it did. So why should one have been confident that they didn’t...?
“Nothing known then,” writes Herbert Anderson, Fermi’s young partner in experiment, “guaranteed the emission of neutrons. Neutron emission had to be observed experimentally and measured quantitatively.”
The good old confusion between negative information and positive information of falsehood, perhaps?
Again, trying to avoid hindsight bias is not best done by inventing new cynical contrarian ideas that serve to steer your mind in the opposite direction of each training example. It would be better to look for truths that are hard to see, and not plausible falsehoods that by golly you ought to have believed. “It would have been just as easy to think Y as X, given Z” is a powerful argument against an alleged heuristic Z that supposedly could’ve told you X. “But it would have been perfectly rational to think Y!” is not how you want to train yourself.
But there ought to be some unstable elements that hadn’t fizzed by themselves in natural aggregations and purities, and many such, and these might be manipulated by humans. If something doesn’t happen naturally, are you in a situation where you’re likely to be learning about a randomly placed lower bound that’s probably randomly far above you, or in a case where you’re learning about a nearby lower bound that probably has some things right above it?
This doesn’t actually work...
There’s only 3 isotopes to choose from. Th232 , U238 , U235 . Evidence that fission occurs probably came from U238 being fissioned by fast neutrons (or could just as well have). You can’t make a bomb out of U238 , though, because it doesn’t get fissioned by slow neutrons, and neutrons slow down quite rapidly, before they fission it enough. You need a nucleus so unstable, that it fissions when it captures a neutron. It must also fission immediately—if it fissions with a delay (if the mechanism of fissioning is that it captures the neutron, transmutes into something unstable that fissions later. Because neutrons do not leave tracks you don’t immediately know that this is not what is going on).
There’s precisely one naturally abundant isotope that you can use, it is U235 . Forget about plutonium, it’d be very expensive to make any without a reactor. Without naturally abundant U235 , no bomb anywhere near 1945 . It’d be something akin to an antimatter bomb—you need to make the material in a particle accelerator, which is ridiculously inefficient. (One could maybe make some plutonium in the particle accelerator, then use that plutonium in a breeder reactor to kick-start breeder economy, but the energy requirements for production of the seed plutonium are still utterly insane)
There’s very little U235 because it has half life of 700 millions years. It is still ~4400 times the half life of the next most stable isotope that you could blow up, though (U233). Which has ~7x the half life of the next stablest (Pu239) , which has 3.2 x the half life of the next stablest (Am-243) . Which suggests to me that it’s like “this cylinder will land with it’s axis horizontal” prediction for something that turns out to be a coin rather than a pencil. (Frankly I do not understand why we even have any U235 at all. Could be some really weird anthropic reason that we don’t know enough to deduce)
edit: doh, a correction. Neptunium-237 , albeit never used in bombs (critical mass 60kg—ish), can maybe be made into one, no doubt with great difficulty due to the size. It has half life of 2 million years. So the sequence of relative half-life becomes 3.2, 7, 12.5, 350
“But it would have been perfectly rational to think Y!” is not how you want to train yourself.
Well of course, but when 2 dice rolled sixes, you can’t go on how it was irrational of Fermi to think the probability of such is 1⁄36 before anyone ever looked at the dice.
On the other hand, if you want a general heuristic that could’ve led Fermi to do better, I would suggest reasoning that previous-historical experimental proof of a chain reaction would not be strongly be expected even in worlds where it was possible, and that to discover a chain reaction to be impossible would imply learning some new fact of physical science which was not already known.
It’s wise to consider how non-hindsight might have been harder. It’s even wiser to consider, for each training example, what general heuristics might’ve helped anyway.
I think the comments have done a good job showing that learning that a chain reaction was possible would have also implied new facts of physical science, e.g. about neutron emission of the available isotopes, so the heuristic in the OP doesn’t help much.
Yes. Essentially, “they were still the default projection from what was already known.” was dramatically untrue at the time of 10% assessment, when it was not known that any neutrons are produced in fission, or any similar processes. And once it became true, Enrico Fermi did rapidly do a very difficult calculation of the neutron multiplication factor, and concluded that self sustaining chain reaction is possible.
The imaginary world where people of Enrico Fermi calibre are unable to follow simple steps due to the extreme conclusions, is a shared fantasy of many, many crackpots.
It’s wise to consider how non-hindsight might have been harder. It’s even wiser to consider, for each training example, what general heuristics might’ve helped anyway.
But there ought to be some unstable elements that hadn’t fizzed by themselves in natural aggregations and purities, and many such, and these might be manipulated by humans. If something doesn’t happen naturally, are you in a situation where you’re likely to be learning about a randomly placed lower bound that’s probably randomly far above you, or in a case where you’re learning about a nearby lower bound that probably has some things right above it?
Sounds like an absurdity heuristic; this is a bad general lesson to learn. “Laboratory curiosity” foresooth.
Which it did. So why should one have been confident that they didn’t...?
The good old confusion between negative information and positive information of falsehood, perhaps?
Again, trying to avoid hindsight bias is not best done by inventing new cynical contrarian ideas that serve to steer your mind in the opposite direction of each training example. It would be better to look for truths that are hard to see, and not plausible falsehoods that by golly you ought to have believed. “It would have been just as easy to think Y as X, given Z” is a powerful argument against an alleged heuristic Z that supposedly could’ve told you X. “But it would have been perfectly rational to think Y!” is not how you want to train yourself.
This doesn’t actually work...
There’s only 3 isotopes to choose from. Th232 , U238 , U235 . Evidence that fission occurs probably came from U238 being fissioned by fast neutrons (or could just as well have). You can’t make a bomb out of U238 , though, because it doesn’t get fissioned by slow neutrons, and neutrons slow down quite rapidly, before they fission it enough. You need a nucleus so unstable, that it fissions when it captures a neutron. It must also fission immediately—if it fissions with a delay (if the mechanism of fissioning is that it captures the neutron, transmutes into something unstable that fissions later. Because neutrons do not leave tracks you don’t immediately know that this is not what is going on).
There’s precisely one naturally abundant isotope that you can use, it is U235 . Forget about plutonium, it’d be very expensive to make any without a reactor. Without naturally abundant U235 , no bomb anywhere near 1945 . It’d be something akin to an antimatter bomb—you need to make the material in a particle accelerator, which is ridiculously inefficient. (One could maybe make some plutonium in the particle accelerator, then use that plutonium in a breeder reactor to kick-start breeder economy, but the energy requirements for production of the seed plutonium are still utterly insane)
There’s very little U235 because it has half life of 700 millions years. It is still ~4400 times the half life of the next most stable isotope that you could blow up, though (U233). Which has ~7x the half life of the next stablest (Pu239) , which has 3.2 x the half life of the next stablest (Am-243) . Which suggests to me that it’s like “this cylinder will land with it’s axis horizontal” prediction for something that turns out to be a coin rather than a pencil. (Frankly I do not understand why we even have any U235 at all. Could be some really weird anthropic reason that we don’t know enough to deduce)
edit: doh, a correction. Neptunium-237 , albeit never used in bombs (critical mass 60kg—ish), can maybe be made into one, no doubt with great difficulty due to the size. It has half life of 2 million years. So the sequence of relative half-life becomes 3.2, 7, 12.5, 350
Well of course, but when 2 dice rolled sixes, you can’t go on how it was irrational of Fermi to think the probability of such is 1⁄36 before anyone ever looked at the dice.
I think the comments have done a good job showing that learning that a chain reaction was possible would have also implied new facts of physical science, e.g. about neutron emission of the available isotopes, so the heuristic in the OP doesn’t help much.
Yes. Essentially, “they were still the default projection from what was already known.” was dramatically untrue at the time of 10% assessment, when it was not known that any neutrons are produced in fission, or any similar processes. And once it became true, Enrico Fermi did rapidly do a very difficult calculation of the neutron multiplication factor, and concluded that self sustaining chain reaction is possible.
The imaginary world where people of Enrico Fermi calibre are unable to follow simple steps due to the extreme conclusions, is a shared fantasy of many, many crackpots.