[HN Gopher] Protons are probably smaller than long thought
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       Protons are probably smaller than long thought
        
       Author : hhs
       Score  : 131 points
       Date   : 2022-02-04 18:36 UTC (4 hours ago)
        
 (HTM) web link (www.uni-bonn.de)
 (TXT) w3m dump (www.uni-bonn.de)
        
       | justinator wrote:
       | The difference is .04 femtometers and a femtometer is one
       | quadrillionth of a meter.
       | 
       | So, I'll be sitting down for a little while.
        
         | munk-a wrote:
         | Did you happen to know that the difference between 1 lightyear
         | and 1.000001 light years is 9.4605284 x 10^24 femtometers? That
         | means they're not at all similar distances on an astronomic
         | scale!
        
           | YaBomm wrote:
        
           | justinator wrote:
           | Not sure why my og comment was downvoted. In absolute terms,
           | the difference in size of the proton is quite large. In
           | relative, the difference in size is quite small. And that
           | blows my little sapien mind.
           | 
           | And that was all.
        
       | pomian wrote:
       | I thought that someone had a measure for a thought and that a
       | long thought was measurably shorter than a short(?) thought, by
       | the length of a proton. This then went off into a consideration
       | of neural message length, etc. Cosmic black hole of thought in a
       | spilt second.
        
       | ffhhj wrote:
       | What if the size of the proton is variable?
        
         | YaBomm wrote:
        
       | miika wrote:
       | https://hiup.org/wp-content/uploads/2017/05/Addendum_QGHM_2....
        
         | fsh wrote:
         | This is not even wrong [1].
         | 
         | [1] https://en.wikipedia.org/wiki/Not_even_wrong
        
       | mrlonglong wrote:
       | What would it mean if they were actually 0.88 when first measured
       | and at 0.84 now?
        
       | ur-whale wrote:
       | What does it even mean?
       | 
       | We're at quantum scales and the very notion of "size" is rather
       | ill-defined.
       | 
       | The _position_ of a proton, is - as a matter of fact - a
       | probabilistic affair, so when you talk about size ... if you don
       | 't even know where the darn thing is, how are you going to
       | measure where it starts and where it ends ...
        
         | fsh wrote:
         | It is a misconception that things are ill-defined just because
         | they are at a quantum scale. The proton has an electric charge
         | distribution. The definition of the proton size used here is
         | the root mean square charge radius of that charge distribution.
        
           | davrosthedalek wrote:
           | Indeed, but it's actually a little bit hard to define what
           | that charge distribution is (or in which frame...). The way
           | it shows up, both in the cross section for elastic lepton
           | scattering as well as in spectroscopy, is via the related
           | quantity "form factor", as the slope at zero four-momentum
           | transfer. While the form factor can be thought as the Fourier
           | transform of the charge distribution for heavy objects (say,
           | iron nuclei), for the proton, this becomes dicey.
        
       | moron4hire wrote:
       | Is this going to mean going back and looking at a bunch of old
       | experiments and slapping your forehead and saying, "god dammit,
       | THAT'S why it didn't work" like I do with my code when I find a
       | wrong sign or off by one error? Or even worse, saying "how the
       | hell did that ever work?" That one... ooooh, that one.
        
         | kspacewalk2 wrote:
         | > Or even worse, saying "how the hell did that ever work?"
         | 
         | The most unsettling feeling. I often have that feeling when
         | doing the devops and infrastructure part of my job, e.g.
         | encountering paradoxes in the dark dreary bowels of systemd.
         | 
         | The idealist and perfectionist in you wants to keep digging
         | deeper to arrive at a proper understanding. The realist and
         | lazy SOB in you wants to slowly back away and pretend this
         | never happened. This dialectic hopefully guides you toward a
         | happy compromise, somewhere down the middle.
        
           | Karunamon wrote:
           | Worse, you dig at it for too long and collapse the wave
           | function, and it _never works again_ despite you having made
           | no changes.
        
             | mensetmanusman wrote:
             | Because the code you are looking at isn't what is compiled
             | and deployed, doh!
        
       | zw123456 wrote:
       | OK, another dumb question from a neophyte here, doesn't the
       | Heisenberg uncertainty principle make it impossible to know the
       | size of a proton for sure? It seems like if you cannot not know
       | the position and momentum of a particle then measuring its size
       | exactly would be impossible?
       | 
       | Thanks in advance to anyone willing to take the time to give me
       | an ELI5 on this :)
        
         | whatshisface wrote:
         | How big is the smell of a baking pie? The concentration of pie
         | molecules in the air is not a binary yes/no function of
         | position, but at the same time the volume is definitely smaller
         | than the county, and larger than the kitchen. Fuzzy-edged
         | objects have some sense of size but there is some freedom in
         | where to define their edge.
         | 
         | For the proton, the "size" is defined as a length-valued
         | parameter in the function that expresses the charge
         | distribution through space. The parameter is objective - but
         | its association with the word "size" is imprecise. It is
         | _necessarily_ imprecise, not because of anything quantum or
         | even unfamiliar, but because there 's not another English word
         | for the scale of objects without hard edges.
        
         | coliveira wrote:
         | The Heisenberg principle only makes it impossible to know the
         | exact size of a single proton in a particular moment in time.
         | But it doesn't say that you can't calculate the average of
         | millions of protons, for example.
        
         | ninkendo wrote:
         | I'm an ignorant layman here, but the uncertainty principal only
         | says that if you're sure about the size/location, then you're
         | very unsure about the momentum. It's possible that measuring
         | its size does not need much certainty about its momentum, so
         | they can get the accuracy they want.
        
         | Bootvis wrote:
         | If I'm blindly shooting a lot of bullets at a lot of ducks, I
         | should be hitting some ducks. If I then count the number of
         | shots fired and the number of ducks dead on the ground I should
         | be able to calculate the size of ducks with high precision.
        
           | J5892 wrote:
           | A better analogy would be to subtract the amount of bullets
           | embedded in the wall behind the ducks from the total bullets
           | fired.
           | 
           | Assuming ducks stop the bullets.
           | 
           | And assuming it's not just one immortal duck flying around
           | super fast.
        
       | ummonk wrote:
       | So to summarize, standard model theory predicted that the radius
       | of the proton would be 0.84 femtometers. High energy electron
       | scattering experiments from the 90s and 2000s suggested it was
       | more like 0.88 femtometers, which was a large discrepancy that
       | causes some consideration that the standard model would have to
       | be revised. These researchers performed a reanalysis of the data
       | correcting for some confounding phenomena (might have been
       | neutron formation) to suggest that the old experimental data was
       | consistent with the 0.84 femtometers predicted by both theory and
       | by newer lower energy scattering experiments.
       | 
       | I'll leave it as an exercise for the reader to decide whether the
       | title of the article is clickbait.
        
         | ISL wrote:
         | It's not clickbait.
         | 
         | I've been to oodles of talks on the problem. It has had special
         | sessions at APS meetings and I've watched acquaintances and
         | colleagues expend meaningful fractions of their careers
         | attempting to resolve the Proton Radius Puzzle.
         | 
         | If an appeal to authority is required -- Nature gave it the
         | cover. https://www.psi.ch/en/media/our-research/protons-
         | smaller-tha...
         | 
         | Pohl's measurements were incontrovertible, yet they disagreed
         | with decades of work. It has been a big problem in a quiet
         | community for some time.
         | 
         | If someone has a reliable angle to resolve the problem, it is
         | big news. Enough really good physicists have tried and failed
         | to resolve the conundrum that one should wait to see if this
         | new approach holds up, too.
        
           | ummonk wrote:
           | The headline gives the impression that the researchers found
           | a new discrepancy where protons are found to be smaller than
           | theory would predict. In actuality, the researchers are
           | proposing a resolution to a preexisting discrepancy.
           | 
           | Additionally, I'm not sure why you're saying we should wait
           | to see whether the results hold up, if you don't think
           | writing "probably" in the headline is clickbait.
        
             | [deleted]
        
       | asdfman123 wrote:
       | I misread this as "pronouns."
       | 
       | I need to spend less time on Twitter.
        
       | Victerius wrote:
       | What are quarks made of?
        
         | labster wrote:
         | Snips, snails, and gold-pressed latinum.
         | 
         | Or possibly strings. If that's not true, the best answer is the
         | tautology: quarks are made of quarks.
        
         | 323 wrote:
         | Quarks are excitations in the quark fields. Thinking about them
         | as particles is a useful simplification/model.
         | 
         | Analogy: there are no "red pixels", there are just red
         | excitations in the display RGB field.
        
         | davrosthedalek wrote:
         | As far as we know, quarks are not composite particles. They are
         | fundamental (and point-like). Same as electrons, photons, etc.
        
       | brabel wrote:
       | I wish they explained how exactly the fact that protons are 5%
       | smaller than previously thought actually affects our current
       | knolwedge. Or it just doesn't?
        
         | davrosthedalek wrote:
         | (Disclaimer: I work in this field, having done of the original
         | measurements. I do not believe this is a settled case at all.)
         | If the proton is indeed smaller, it changes the Rydberg
         | constant by several sigma. The Rydberg constant is one if not
         | _the_ best determined constant of nature. This has implications
         | for precision tests of QED, for example.
        
           | H8crilA wrote:
           | What is even the _size_ of a proton? I mean it 's not like
           | it's a nice spherical ball [made of something else].
           | 
           | From reading the article it seems like there's a hard
           | distance boundary beyond which it will not "collide" with the
           | electron?
        
             | davrosthedalek wrote:
             | In this context, it's the root-mean-square of the electric
             | charge distribution. (Or more precisely, it's related to
             | the slope of the electric form factor at Q^2=0.) There is
             | also at least a magnetic radius (similar to the electric),
             | and a gravitational radius.
        
               | nobrains wrote:
               | Does the electrical charge ever reach 0 or does it keep
               | getting less and less and for practical purposes, we have
               | to set a cut-off limit and count the boundary of the
               | proton from there?
        
             | dataflow wrote:
             | > What is even the size of a proton?
             | 
             | Just a layman but I think they usually define size via the
             | halfway distance between the centers of two identical bound
             | particles. Not entirely sure what that would be in this
             | case though, given helium-2 is unstable and helium-3 might
             | give a different result. (?)
        
               | contravariant wrote:
               | As far as I know the size in these discussions is some
               | kind of scattering cross-section. So roughly it's just
               | how likely you are to hit it / how precise you need to
               | aim.
               | 
               | I don't know the exact details of the definition though.
        
               | davrosthedalek wrote:
               | That's one way to determine the size. But the same thing
               | pops up in spectroscopy.
        
               | gowld wrote:
               | Protons don't bind without neutrons mixed in.
        
               | dataflow wrote:
               | That's why I wrote He-2 is unstable, yes.
        
               | vikingerik wrote:
               | They do for a very short duration (10^-9 s.) Nuclear
               | fusion happens by protons binding via the strong force,
               | then one beta-decays into a neutron before the
               | electromagnetic repulsion pushes them beyond the range of
               | the strong force. The beta decay happens fast enough in
               | 0.01% of proton-proton collisions.
        
           | MrLeap wrote:
           | Is there.. any reason why all protons must be the same size?
        
             | db48x wrote:
             | Yes. All protons are indistinguishable from each other. No
             | matter what aspect of a proton you measure, it will be
             | identical to any other proton you could measure instead.
             | 
             | This has important implications.
             | 
             | Consider a quantum mechanics experiment where you emit a
             | proton at A and try to detect it at A'. You will find that
             | that there is some quantifiable chance of detecting the
             | particle at A' some time T. Call that probability P.
             | 
             | Now consider a second experiment where you emit a proton at
             | both A and B, and try to detect them at A' and B'. What is
             | the probability of finding a proton at A' at time T? You
             | will find that you get a different number! This is because
             | the proton at A could travel to A' and be detected, but
             | also the proton at B could travel to A' and be detected
             | too. Since you cannot distinguish the two protons, you
             | won't be able to distinguish between these two outcomes,
             | and so the probability must be different from P.
        
               | busyant wrote:
               | How does your experiment demonstrate that all protons are
               | indistinguishable?
               | 
               | Couldn't it be that your measurement for a proton being
               | at A' is simply measuring the wrong feature of the
               | protons?
               | 
               | edit: I have no idea if protons are indistinguishable
               | from one another, but this experiment doesn't seem
               | compelling.
        
               | xwolfi wrote:
               | Turn it the other way around: if it has a different level
               | of energy in its quantum field, it doesnt expose the
               | properties of what we call "a proton".
        
               | MrLeap wrote:
               | I was thinking the same thing. If you read the experiment
               | described but replace the word "proton" with "cat" -- I
               | would just assume that the scientists in question were
               | from a society with very coarse senses and measurements,
               | not that all cats are indistinguishable.
        
               | scott_s wrote:
               | Think of it this way: we can experimentally figure out
               | what the probabilities are; they are an observed thing.
               | The only way to make sense of these probabilities is if
               | all protons are indistinguishable.
               | 
               | In my statistical mechanics course, we went through an
               | illuminating exercise where we started by trying to take
               | account of every atom in a gas cloud. We started taking
               | limits and making assumptions. One of them was that all
               | atoms are indistinguishable from each other. This
               | decreases the possible states of the system by N!
               | (factorial, not surprise). After making that assumption,
               | out pops the ideal gas law.
        
               | MrLeap wrote:
               | This is convincing to me, thank you.
        
               | MrLeap wrote:
               | Your hypothetical seems to describe a current inability
               | to differentiate between protons, rather than convincing
               | me that protons _must_ be identical. Is this like the
               | monsters on old sea maps, just a gate around an unknown?
        
               | octoberfranklin wrote:
               | There is a lot of circular reasoning involved in quantum
               | information and thermodynamics.
               | 
               | It's all totally, perfectly self consistent, but it does
               | not derive from first principles like set theory or
               | mathematical logic do. Physics is an experimental
               | science; they are not required to state their axioms.
               | Oftentimes they do (QFT for example), but the most
               | glaring case where they don't is anything involving
               | information.
               | 
               | The whole postulate that information is physical is
               | something that was stumbled upon, and then turned out to
               | explain a whole bunch of other weird things like heat and
               | entropy, and some of those explanations in turn implied
               | that information is physical.
               | 
               | I suspect that our current efforts to build
               | cryptographically-relevant quantum computers are a lot
               | like the efforts to build perpetual motion machines in
               | the 1700s. Our current understanding of things isn't
               | _wrong_ , but there is some undiscovered general
               | principle that we keep butting up against, so we'll keep
               | trying to build these things until we figure out why
               | nature keeps blocking us. That discovery -- rather than a
               | computationally-useful device -- will be the most
               | important result of all the quantum computing research
               | going on right now.
        
               | adgjlsfhk1 wrote:
               | that seems plausible, but currently very unsupported by
               | evidence. in the past decade, quantum computers have
               | gotten way more powerful, and progress doesn't seem to be
               | stalling out.
        
               | MatteoFrigo wrote:
               | I think that GP is trying to say the following.
               | 
               | In quantum mechanics, probabilities are given by the
               | square of the absolute value of more fundamental
               | quantities called amplitudes. When something happens in
               | two ways that can be distinguished, you must add the
               | probabilities. When something happens in two
               | indistinguishable ways, you must add the amplitudes,
               | which yields a different probability after squaring. For
               | example, .3^2+.4^2 != (.3+.4)^2. Thus, you can verify
               | experimentally whether particles are or are not
               | distinguishable.
        
               | Iolaum wrote:
               | Think of it in a simpler way. There is nothing we can
               | currently measure, that will be different for one proton
               | versus another.
        
               | [deleted]
        
               | RobotCaleb wrote:
               | Does this mean that there's possibly only one proton?
        
               | kazinator wrote:
               | Two protons P0 and P1 are the same only if they match in
               | every single quantum parameter.
        
               | willis936 wrote:
               | On the contrary, protons are baryons and they must each
               | have a unique quantum state (they must be in a
               | unique/distinct location).
        
               | infogulch wrote:
               | You mean like the "One-electron universe" postulate [1]?
               | First, I don't think it's really useful beyond being a
               | fun idea to consider. Also there's a lot more matter than
               | antimatter, which raises some... logistical problems.
               | Also, unlike electrons/positrons, protons are not
               | fundamental particles, they're made up of quarks which
               | throws a whole other wrench in the idea.
               | 
               | [1]: https://en.wikipedia.org/wiki/One-electron_universe
        
             | burnished wrote:
             | Good question. I'm not sure. We treat them like they are
             | all the size, which I assume is a function of all them
             | being themselves composed of pieces that we treat as
             | fungible. On the other hand its not like anyone is
             | measuring a proton size with a pair of calipers, so them
             | all being the same 'size' could simply be a function of
             | them all having the same charge.
        
             | stronglikedan wrote:
             | layman, but I believe it's the "size" (defined by the wave
             | function) that makes a particle a proton. at least, one of
             | the factors that does, anyway
        
             | uoaei wrote:
             | Each solution to the Schrodinger equation describes a
             | different kind of particle. We assume that QFT is
             | deterministic and complete so each particle will have
             | exactly the same properties as the others of its kind aside
             | from position and momentum (as far as we can tell).
             | 
             | As a fun consequence, the theory treats all particles the
             | same -- even so-called quasi-particles! The difference
             | between fundamental and other kinds of particles is that
             | the fundamental particles can exist (at least for a short
             | time before decaying) _in vacuo_.
        
             | gowld wrote:
             | Protons are made of 3 quarks and a bunch of tiny gluons. if
             | a big proton existed, it would be made of different or more
             | quarks/stuff, and be called something else.
             | 
             | Now, is there a reason why there isn't a something else
             | that acts like a proton?
             | 
             | That gets into Elementary particle physics and what
             | combinations are stable and have matching charge. Quarks
             | have charge +- n/3 and generally come in triples.
             | 
             | Could the number of gluons vary? Maybe? But they wouldn't
             | affect the size measurements much? And variations wouldn't
             | be stable?
        
           | saurik wrote:
           | (Disclaimer: I don't do anything even slightly related to
           | this field, and I somehow managed to skip taking any physics
           | in college except quantum, which I literally slept through
           | and dropped because it was too early in the morning _three
           | times_ before simply giving up. So, my question is probably
           | super super dumb ;P.)
           | 
           | Isn't a sigma a _lot_? Like, I think that 's a standard
           | deviation? If there is even a longshot chance that we are
           | might be off on that constant by multiple standard
           | deviations, isn't that certainly a less-determined constant
           | than, say, the acceleration of gravity? I feel like there is
           | no chance in hell we could one day discover that our
           | calculations are that far off for gravity.
        
             | davrosthedalek wrote:
             | Yes and no. It's a lot in the sense that we are way off
             | from what we believed or knowledge to be. But on absolute
             | scale, it's not a lot. The current determination of the
             | Rydberg constant puts it at 10973731.568160 1/m with an
             | uncertainty of 0.000021 1/m. So a relative precision of
             | ~2*10^-12 (or maybe only 10^-11).
             | 
             | The standard acceleration of gravity is, btw, defined, so
             | no uncertainty. The gravitational constant G is known only
             | to 10^-5 or so.
        
             | jacksnipe wrote:
             | The acceleration due to gravity isn't a constant of nature
             | --- it's dependent on the mass and mutual distance of both
             | objects.
             | 
             | EDIT: distance, not size
        
               | moron4hire wrote:
               | Perhaps they meant the gravitational constant, which is
               | not known to a very high degree of precision.
        
               | saurik wrote:
               | But we've got to have it down within two standard
               | deviations, right? ...No? Do I just not know what a sigma
               | is? :(
        
               | penteract wrote:
               | I think you have a misunderstanding about sigma. When
               | describing the measurement of a particular physical
               | constant, the "standard deviation" is something that
               | changes as we get better at making measurements. It
               | basically means "If all our assumptions (e.g. assumptions
               | about how good our equipment is, uncertainties about
               | other physical constants) are correct, then it is
               | unlikely that we would have made the measurements we did
               | if the true value is not within 2 standard deviations of
               | the result we got". When a more accurate measurement is
               | made, then "1 standard deviation" gets smaller, so we
               | know the value better, but it's always true to say "we
               | know the value to within a few standard deviations (given
               | some assumptions made by experimenters)" . If it turns
               | out the measurement was wrong by several standard
               | deviations, then it's very likely that some assumptions
               | were wrong.
        
               | SkittyDog wrote:
               | Your correction is wrong... The size of the two objects
               | is irrelevant. The only variables are their respective
               | masses and the DISTANCE between them.
               | 
               | If it's worth correcting people, it's worth correcting
               | them correctly... Don't you agree?
               | 
               | Also... The previous poster was pretty obviously talking
               | about the constant of Gravitation
               | (https://en.m.wikipedia.org/wiki/Gravitational_constant).
               | His way of phrasing it is a common English shorthand that
               | I see frequently enough that it's a well understood
               | usage. They may not have used precise language, but their
               | phrasing was definitely less misleading than your
               | (incorrect) correction.
        
               | jacksnipe wrote:
               | I assumed the gp was thinking about 9.8m/s^2 -- because
               | on the English speaking non-physics-expert world, this is
               | called the _acceleration due to gravity_.
               | 
               | You're right that it's distance, of course, but I was
               | coming from a place of trying to be helpful, and thought
               | that if they were talking about terrestrial physics, it'd
               | be easiest to imply it depended on the size of the earth
               | (which determines our distance from it) and your height.
        
               | ummonk wrote:
               | That's not something that could change based on
               | experiment though. We define standard gravity as 9.80665
               | m/s^2 but the actual value will vary considerably based
               | on location on the earth.
        
               | ummonk wrote:
               | It's only dependent on the mass of the other object, not
               | the mass of the object whose acceleration we're
               | measuring.
        
               | uoaei wrote:
               | I'm sure they meant the gravitational constant. Jeez.
        
           | [deleted]
        
         | brian-armstrong wrote:
         | Most likely it indicates protons have devalued their currency
         | slightly. Probably not a big deal for now but we should keep a
         | close eye on it in case it happens again.
        
           | AnimalMuppet wrote:
           | Cosmic inflation?
        
         | bonzini wrote:
         | We had two methods to measure the proton and they gave
         | different results. People used to trust the old value more, but
         | a study in 2019 implied that it was the incorrect one and the
         | correct value is the new one. See
         | https://en.wikipedia.org/wiki/Proton_radius_puzzle,
         | https://www.quantamagazine.org/physicists-finally-nail-
         | the-p....
         | 
         | The latter says "The new result implies that earlier attempts
         | to measure the proton's radius in electronic hydrogen tended to
         | overshoot the true value. It's unclear why this would be so"
         | and it seems that these researchers have now shown why.
        
         | fsh wrote:
         | The value of the proton charge radius in itself is pretty much
         | irrelevant, otherwise it wouldn't be so hard to measure.
         | 
         | As scientists we want to know if our understanding of nature is
         | correct. To test this, we measure the same quantity, for
         | example the proton charge radius, in different ways. If the
         | underlying theory is correct, the results should agree within
         | the experimental uncertainties.
         | 
         | Since 2010 there was a big disagreement between the proton
         | charge radii measured by hydrogen spectroscopy and
         | electron/proton scattering (which roughly agreed at the time),
         | and a much more accurate measurement using muonic hydrogen
         | spectroscopy. This has lead to a lot of excitement, since
         | discrepancies could be a hint for new physics. Since then, more
         | accurate hydrogen spectroscopy experiments have been performed
         | and most agree with the muonic hydrogen value. This probably
         | indicates that the discrepancy is due to underestimated error
         | bars in the old measurements.
         | 
         | In contrast to laser spectroscopy which gives relatively direct
         | results, getting the charge radius out of electron scattering
         | data is notoriously hard. Different groups have found different
         | charge radii from the same data for a long time.
        
       | sundarurfriend wrote:
       | Ignorant outsider to the field here: I've often heard the claim
       | that quantum mechanics has been verified to amazing accuracy,
       | that its predictions match with reality to the maximum degree
       | that our instrumental precision allows, etc. A 5% difference
       | seems big enough that at least some of our experiments should
       | have error limits less than that. So how is it that this is only
       | now being found, and there's still uncertainty surrounding it?
       | 
       | I feel like I'm missing something fundamental here, and I'd like
       | to know what it is.
        
         | gowld wrote:
         | Well this 5% is the instrument precision.
        
         | Yajirobe wrote:
         | Quantum theory has the largest error between theory and
         | prediction (120 orders of magnitude). See
         | https://en.wikipedia.org/wiki/Cosmological_constant_problem
        
           | evanb wrote:
           | That's just a back-of-the-envelope calculation. Nobody knows
           | how to do a bone-fide calculation because we don't have an
           | accepted quantum theory of gravity.
        
         | db48x wrote:
         | There are lots of different numbers that you can use quantum
         | mechanics to predict. It turns out that the size of the proton
         | is both harder to predict and harder to measure than many of
         | those other numbers.
         | 
         | Meanwhile we can measure the fine structure constant to 12
         | decimal places (https://en.wikipedia.org/wiki/Electromagnetic_c
         | oupling_const...) and that measurement is in very close accord
         | with the predictions of quantum mechanics.
        
           | dnautics wrote:
           | I thought the fine structure constant was primitive: there is
           | no theory arguing what it's value should be.
        
         | 323 wrote:
         | That maximum precision had a confidence interval. The new
         | smaller 5% value is within that confidence interval, which is
         | now also tighter.
        
         | not2b wrote:
         | Real physicists can correct me, but here's my understanding of
         | it: if only the electromagnetic force is involved, the numbers
         | provided by QED are amazingly accurate (for example,
         | calculating the magnetic moment of an electron). But when the
         | strong force is involved, as for the radius of the proton, the
         | calculations are much more difficult: you can't calculate what
         | the radius should be.
        
           | davrosthedalek wrote:
           | That's correct. It's very hard to calculate the proton radius
           | ab initio, even with LatticeQCD approaches.
        
         | 77pt77 wrote:
         | The size of the proton is a very poorly defined measurement.
         | 
         | The amazing accuracy you have read about is the anomalous
         | magnetic moment of the electron, which is a very clear cut
         | measurement.
        
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