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Approaching 50 Years of String Theory

math.columbia.edu

31–40 of 138 posts

Re: Approaching 50 Years of String Theory

#31

I wonder what Ed Witten would have accomplished if he had gone into another field instead of choosing to dedicate his life to mathematical physics.

Not sure if you're making a joke about this, but Ed Witten tried a number of fields before settling on theoretical physics.

Re: Approaching 50 Years of String Theory

#32

The Planck scale where string theory's distinctive physics should appear is around 10^19 GeV. The LHC operates at about 10^4 GeV. That's a factor of 10^15 which is a million billion times too weak. No foreseeable accelerator technology can bridge this gap. The proposed Future Circular Collider (FCC) would reach maybe 10^5 GeV. Still 14 orders of magnitude short.

So the grift can continue

Planck energy: ~10^19 GeV is approx 2 GJ per collision

Energy to vaporize Earth's oceans: ~4 x 10^27 J

For a Planck-scale linear collider at LHC-like collision rates (~10^8/sec):

Beam power requirement: ~2 x 10^17 W

With realistic wall-plug efficiency of ~1%: ~2 x 10^19 W

Annual energy consumption: ~6 x 10^26 J

At 1% efficiency, one year of operation would:

Vaporize about 15% of Earth's oceans

Or vaporize the Mediterranean Sea roughly 50 times

Or boil Lake Superior every 5 hours

Or one complete ocean vaporization every 6-7 years of operation

It's about 1 million times current global power consumption

Or about 50,000 Suns running continuously

Or 170 billion Large Hadron Colliders operating simultaneously

Re: Approaching 50 Years of String Theory

#33

An in half a century we still haven't found a single actually testable prediction.

But we've discovered a number of useful tools and techniques that are applicable to other areas of research have we not? The billions of dollars spent on string theory hype might have unlocked a strategy or technique that ends up being useful in a civilization changing way that we just don't know about yet. Maybe string theory and the hype it was able to generate was just the catalyst that we needed.

what didn't se develop because those people were working on string theory? That is an unanswerable question. It is also the important question.

Re: Approaching 50 Years of String Theory

#34

Earlier quoted context omitted.

I think that's not quite right: it is reasonably certain that string theory can produce both the standard model and most extensions people have dreamt up, so the problem is rather that all the obviously "stringy" predictions are currently unavailable, while the string theory derived predictions for achievable experiments look like what we get from other theories we already have.

To make this valuable, it should produce a limited set including standard model. If you produce pretty much everything one can dream of, that does not carry predictive power. What does string theory predict that (1) is within experimental reach in, say, 5 years (2) if not found, would prove it wrong. Was there ever anything satisfying these two simultaneously? AFAIK,the answer is "no".

Making a hard, arbitrary deadline is a pretty extreme thing to do. ie Higgs Boson was a lot longer between theory and experiment than this.

Re: Approaching 50 Years of String Theory

#35
post #8

[flagged]

I don't entirely understand where that comes from. The Standard Model and General Relativity are both tested to extreme precision. Any experiment unifying them will have to involve insane energies. It's not as if there is some other model with easy tests that we've agreed to ignore. As far as I can tell, it seems to come from the developers of Loop Quantum Gravity, who feel left out of funding. And maybe that's true.…

> I don't entirely understand where that comes from. The Standard Model and General Relativity are both tested to extreme precision. Any experiment unifying them will have to involve insane energies. It's not as if there is some other model with easy tests that we've agreed to ignore.

You're absolutely right in everything you said, thank you.

Like another commenter posted, the planck scale is 10^19 GeV and we're about 10^15 short. Therefore it follows we won't be testing anything at planck scale for many generations, if ever. Therefore the argument of "I can't test it therefore the theory is useless" is just being defeatist. The fact that such theory isn't testable might be a feature of our Universe, not the theory. As in, these people don't normally make the distinction between something that "could be tested in principle, we just don't have the technology" (like string theory) vs something that "couldn't be tested even in principle" (like how many angels can dance on the head of a pin). They're basically playing with semantics when they say "it's not testable".

> As far as I can tell, it seems to come from the developers of Loop Quantum Gravity, who feel left out of funding. And maybe that's true. But their theory doesn't offer practical tests, either. It would be weird if it did.

Again, correct on all points. However, I'll add the following. Yes, LQG makes as many directly-testable predictions at the planck scale as string theory, which is to say none, because we don't have the technology to test anything directly at that scale.

I keep repeating these things on HNs, but people here fundamentally don't understand how research in theoretical physics is done. I'll try a little exposition:

Physics is: make experiments, and try to infer which laws/rules/formulas are common to all experiments or sets of similar experiments, and their domain of applicability. These are called theories.

Theoretical physics is: think about theories, and try to observe which laws/rules/formulas are common to all theories or sets of similar theories, and their domain of applicability. These are more general theories from which your directly-experimented theories can be derived. You can keep interacting constructing ever more general theories from an ever smaller set of principles.

So a lot of theoretical physics is about arguing which of the principles that you know are true because you've experimentally tested them will hold in circumstances where you can't directly test. As it turns out there's a lot that you can infer about things you've never seem because often times mathematics puts constraints on how different ideas work together.

The string theory/LQG thing is that LQG start from the guess that Lorentz invariance doesn't hold at planck scale. The reason why LQG is less appealing to a lot of physicists is that if you follow this through you can never quite make it mathematically self consistent. In string theory what happens in certain sub-domains is that you start with a lot of arbitrary possibilities, but then you demand certain types of mathematical self-consistency and magically it points out that there's only one or a small number possibilities. A classic example is: "how many dimensions does the universe has?" which no theory really gives as answer, but string theory at least points in a direction: "if you assume such and such, the the allowed answers are such and such". This happens a lot in string theory, and it's what drives people to keep digging. String theory on the other hand concludes that Lorentz invariance must hold at all scales "in some string-like theories" if you demand cancellation of divergences, which you must have for your theory to be renormalizable and therefore mathematically self-consistence. So in a sense this is a prediction of string theory. Not that LQG doesn't predict the opposite, that Lorentz invariance doesn't hold. Instead it assumes that it doesn't. String theory instead predicts that it does. The latter is much more impressive; anybody can start from an arbitrarily picked assumption that noone can prove wrong.

Re: Approaching 50 Years of String Theory

#36

[flagged]

Perhaps you could elevate the discussion by providing an actual argument against this view of string theory, which has indeed percolated through social media? For my part, I know a little bit more than "shit" about physics but I know very little about string theory and know better than to have strongly held opinions about things I don't understand. I've heard quite a lot about the criticisms and would like to hear a…

I have a lot more to say, but I wrote a little bit here: https://news.ycombinator.com/item?id=46336655

Re: Approaching 50 Years of String Theory

#37

[flagged]

Rather than inb4 , you'll make a stronger case by rebutting any of those comments you see come up in the thread.

Not really a rebuttal, but a discussion of how I see the situation: https://news.ycombinator.com/item?id=46336655

Re: Approaching 50 Years of String Theory

#38

I wonder what Ed Witten would have accomplished if he had gone into another field instead of choosing to dedicate his life to mathematical physics.

You reminded me about this Abstruse Goose comic: https://web.archive.org/web/20230202225744/https://abstruseg...

Re: Approaching 50 Years of String Theory

#39

Earlier quoted context omitted.

So the grift can continue

Non-Euclidean geometry (geometric axioms in which one postulate is rejected such that the 3 angles of a triangle are not exactly 180 degrees) was considered a meaningless word game and fundamental mistruth. Later, non-Euclidean geometry was actually essential to modern physics. It's intellectually sketchy to judge future value by the present.

I imagine that elliptic geometry had some use before modern physics.

Re: Approaching 50 Years of String Theory

#40

Earlier quoted context omitted.

So the grift can continue

Non-Euclidean geometry (geometric axioms in which one postulate is rejected such that the 3 angles of a triangle are not exactly 180 degrees) was considered a meaningless word game and fundamental mistruth. Later, non-Euclidean geometry was actually essential to modern physics. It's intellectually sketchy to judge future value by the present.

In the 1700s, perhaps. But we have come a long way since that.
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