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Disclaimer: My background is in string theory. I've spent a lot of time thinking about this subject (in fact, I studied string theory at Columbia which is wher
by pontus 6y ago
Disclaimer: My background is in string theory.
I've spent a lot of time thinking about this subject (in fact, I studied string theory at Columbia which is where Peter Woit is). The main issue that people have with string theory is the lack of testability / falsifiability. I think there's definitely some issues there, but I think blaming string theory is not quite right.
There are two reasons why string theory is tough to test. One of them, and the most obvious one, is that the energy scale where the strings exist is super high (likely at or near the Planck scale). This means that if we wanted to detect the direct signatures of strings, we'd have to create an experiment that is sensitive to these energy scales. This seems to be completely infeasible (people talk about particle colliders having to be the size of our solar system etc.) Now, interestingly this is not actually only a problem with string theory but rather with any theory of quantum gravity. This is because the fundamental scale of a theory is usually determined by combining its fundamental constants in some way as to produce an energy scale, and any theory of quantum gravity must somehow contain Planck's constant, Newton's constant of gravitation, and the speed of light. Taking these together gives you the Planck scale.
So, in other words if the reason you don't want to study string theory is that it only is testable at the Planck scale, then what you're really saying is that you don't think we should study any theory of quantum gravity. This is, I think, way to extreme of a position.
Now, interestingly, string theory is actually more than a theory of gravity, so unlike something like e.g. loop quantum gravity which is only a theory of gravity, it's conceivable that string theory somehow within it contains information that "trickles down" to lower energies and thus could potentially be testable at something like the LHC. This leads me to the second reason why string theory is very difficult to test.
It turns out that the equations of string theory are more-or-less unique at high energies but that as you start lowering the energy at which you probe the theory, multiple distinct solutions emerge. These solutions turn out to have a very nice physical interpretation: they are the different ways in which we can compactify the extra dimensions of string theory. Regardless of this physical interpretation, the fact remains that there are many many distinct solutions of string theory at low energies, and in order to make predictions that are falsifiable, we need to know which of these solutions we're living in. This is where the crux of the problem lies. It turns out that there are so many solutions of string theory that we cannot even in principle go through them one at a time to see if they're feasible (people throw around the number 10^500).
Now, it turns out that the real problem is not actually in the number of distinct solutions to string theory (~10^500), but rather in the way their structure is poorly understood. In fact, any theory of physics contains an infinite number of theories within it. For example, consider the mass of the electron as a free parameter. Until I tell you what the mass is, you can't make a complete prediction for what the energy levels in Hydrogen are. In fact, you could argue that since the mass of the electron is a real number, there are in fact an infinite number of predictions to the energy levels. A bit sarcastically you could then say that at least string theory has "only" 10^500 different theories within it, unlike traditional physics that has this continuous infinite set of theories.
The distinction between these two cases is then that for traditional theories, we can go the other way. If we measure the energy levels of Hydrogen, we can infer the mass of the electron. Then, knowing the mass of the electron, we can make other predictions. It's this last step that's currently missing in string theory. Currently we only know how to move in one direction: give me the solution you're talking about and I might be able to make predictions, but give me observational data and I can't work backwards to determine which solution I'm in. It's almost like a one-way hash.
I would say that this last objection is a roadblock that we're currently facing, and it's not perfectly clear that it's not solvable, nor is it clear that it is. I think that until we solve this problem, string theory will be stuck and people will be pointing fingers at the theory calling it a fool's errand. I personally think this criticism is misguided.
The upshot of this is that most people who work on string theory work in areas that are not plagued by this bifurcation to low energies. For example, you can use string theory to study the structure and behavior of black holes and holography, something called AdS/CFT, an area that has been incredibly successful.
- daxfohl 6y agoI'm confused on your last point. If indeed string theory is wrong, doesn't that invalidate everything we've learned about black holes and holography via AdS/CFT too?
- mmmBacon 6y agoI think your post is well thought out but you are hand waving a bit too much over string theory’s inability to reduce to known results. Reduction is an important cornerstone in physics and it’s a way to validate if a theory is on the right track even when things are not measurable. I do not think it is correct to say that special relativity for example gives 10^500 possible classical theories. We know special relativity needs to produce same outcome as Newtonian mechanics or Maxwell’s equations in the limit as velocity tends to 0. In my simple example, we have 2 well established theories which bound the possible outcomes. This is all possible even without knowing the speed of light.
- pontus 6y agoI agree that it's important to be able to reproduce existing theories. What I don't think is fair is to say that because we have not yet figured out a way to perform this reduction we should throw the theory out. There's a difference between a theory being untestable even in principle and being untestable because we have not yet understood the theory well enough. I like the analogy of a hash function. Imagine that someone gave you the exact specification of a hash function (e.g. sha256) as well as the hash value of a list of inputs. The only thing missing from the story is the salt that was used in hashing the inputs. You're asked to make a prediction of what ought to happen when you hash the string "hello", but unless you know the salt you can't figure it out. So, you study all the examples provided and try to find collisions so that you can figure out what the salt is. The problem is that while it's easy to hash values, it's very hard to find collisions. It's really frustrating because in some sense you have all the information you need, but unless you're able to find vulnerabilities in sha256, you can't move forward. So, you spend a lot of time trying to understand what this hash function is really doing. Maybe some day you'll crack it at which point you'll be able to figure out the salt and ultimately make your prediction. However, until that day people around you keep telling you that you're being silly because your theory lacks predictive power. They say things like "your theory can predict anything you want it to, just pick your favorite salt and it'll output whatever you want!". It's not that the theory is necessarily wrong, it's that you don't fully understand it yet.