10-Year Study Reveals Electron Shape 370
lee1 writes "In a 10 year long experiment, scientists at Imperial College have made the most precise measurement so far of the shape of the electron. It's round. So round, in fact, that if the electron were enlarged to the size of the solar system, its shape would diverge from a perfect sphere less than the width of a human hair. The experiment continues in the search for even greater precision. There are implications for understanding processes in the early universe, namely the mysterious fate of the antimatter."
Units (Score:3)
I know the site is probably trying to be approachable, but what's wrong with saying 1e-29 m instead of this absurd measurement of 0.000000000000000000000000001 cm? This is getting close to the Planck length; no matter what you compare it to, it won't be a length you can intuitively grasp.
Re:Units (Score:5, Insightful)
The 0.000...001 version maybe visually represents the amount better.
Re:Units (Score:5, Insightful)
What's wrong with calling it mysterious? The theories say there should be equal parts matter & antimatter.. There doesn't seem to be.. So it's a mystery.. Thus, as an adjective, it is mysterious.
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http://en.wikipedia.org/wiki/Baryon_asymmetry [wikipedia.org]
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There should be more antimatter. There's not, as far as we can see. We don't know what happened to it. Hence, mysterious.
"Fate" is a bit unfair, though, since it properly refers to the future.
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I think you could have left that short (heh) at "your UID doesn't fucking matter, you fucking cunt" and described it quite succinctly :)
(I've seen plenty of low-UID idiots)
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But it's USA-centric, per the faq.
Plank (Score:3)
Under what conditions? (Score:4, Interesting)
Is it always round, even when it's tunnelling through a potential wall?
And I assume that by "round" they mean that every level curve of the probability amplitude has constant radius.
And, uh, what did they do about that Heisenberg thing? If you can't tell where the electron is relative to your frame of reference, how is the electron supposed to tell where a certain constant on its level curve is relative to its own frame of reference?
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And, uh, what did they do about that Heisenberg thing? If you can't tell where the electron is relative to your frame of reference, how is the electron supposed to tell where a certain constant on its level curve is relative to its own frame of reference?
The measurement was indirect --- they didn't observe the electron but instead observed the lack of any distortion in the shape of the molecule. I guess this observation does not require them to pin point the position of the electron.
Re:Under what conditions? (Score:5, Informative)
Is it always round, even when it's tunnelling through a potential wall?
I think that the way they are translating the physics into English is awful. I'm not sure I fully understand their method, but I'll try to restate. What they actually found was that they electric dipole moment of the electron was very small. It it were not that small, they would have seen changes in the wave function. From there they go to stating that if the electron can be modelled as a charge distribution or a charged object, that object would be spherically symmetric with dipolar radial deviations of less than that very small number. But more precisely, the wave function of an electron behaves as if it represents a particle that has a electric dipole moment less than 1.05E-27 ecm.
If course you couldn't actually make measurements to determine whether that dipole moment is a property of a physical shape of the electron or is an intrinsic property. Nothing we have can probe those size scales, and if you could you'd have particle antiparticle pairs popping up everywhere from the energy of the collisions. You might even create a new universe at those energies. Everything we've done so far suggests that the electron has no structure, but that's on much larger scales/lower energies.
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Thanks for clearing this up.
I have a master of physics but skimming through the article I could not make heads or tail of what these guys actually measured.
Extrapolating from the dipole moment to the headline that the electron is perfectly spherical is just cringe-worthy.
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So long as you don't know how fast it is moving, knowing where it is is fine. The exact rule is that the product of the level of uncertainty of the variables is a constant, not that the variables have to be unknown.
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Umm.
No, it's not stupid and it's not obvious. It applies to "everything" only in that everything is composed of quantum matter, but generally it doesn't apply meaningfully to macroscale objects.
The uncertainty principle isn't some soft and squishy rule-of-thumb that can be trivially applied to the contents of your refrigerator, it is a very specific physical inequality (or set of inequalities if you want to include things like energy-time, etc. along with position-momentum) which was the result of hundreds
Re:Under what conditions? (Score:4, Insightful)
The Heisenberg principle is just a consequence of a property of Fourier transforms that says that any signal localized in frequency space will not be localized in the original space.
It's a consequence of linear operators in general [wikipedia.org]. Conceptualizing it in terms of the Fourier transform which localizes an invariant process very well in frequency and not at all in position may limit one's viewpoint. It's more informatively interpreted using time-frequency decompositions such as the Wigner distribution [wikipedia.org] (or position-scale representations such as wavelet transforms), in which there is a direct trade-off between localization in frequency (or scale) and localization in time (or position).
Where the magic comes in is the relationship between momentum and position, and energy and time, operators in QM.
An even bigger magic comes from the applicability of mathematics to physics, which is an interesting philosophical issue in its own right. "How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality." - Albert Einstein.
Curious question (Score:5, Interesting)
I know why we should care, but I wouldn't mind knowing what theories exist to justify different shapes.
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[talking out of my ass here, IANA physicist]
You'd expect an atom to be mostly spherical right? Well if you measure the radius of an atom, you'll find that it can fluctuate. Knowing by how much the radius of an atom fluctuates might, for example, give you an idea of the angular momentum or kinetic energy of its constituent particles. I presume that the size and shape of the electron could fluctuate in similar ways and might give an indication of what physics governs its mechanical properties.
What I'm getting
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Since electrons have mass, they can't be indivisible. They have, at the very least, to be divisible into a Higgs boson and whatever is left over.
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"Divisible" is a funny term. If you mean that in quantum field theory there is a vertex between an electron line and a Higgs, sure. But this doesn't mean that you can split an electron into a Higgs and "something else", any more than it means you can split an electron into an electron and a bunch of photons.
What it *does* mean is that every electron disturbs both the photon field and the Higgs field around it, and that by necessity some of the properties of what we call "electron" are actually related to th
Re:Curious question (Score:5, Informative)
These virtual particles are tiny compared to atomic matter and exist for short amount of time, such a short amount of time thier very existence is below the uncertainty thresholds. They are a consequence of the fundamental uncertainty in position and momentum. They are created out of the vacuum.
So the question the experiment attempts to answer is does the electron behave like an object that reacts symmetrically in all dimensions, or is there so aberration, that is, is it not a perfect sphere. To a very high accuracy the paper claims that it is a sphere.
However that is not the full story. The paper is based on the idea that the aspherical shape would be larger than the standard model predicts. Adjusted models predicts a larger aspherical aberration. Since this experiment did not detect large aberrations, these other models, extensions of the Standard Model seem to be less than accurate. Form what I read, the standard model predictions are orders of magnitude lower than current sensitivity [nature.com] so it remains unclear if the electron acts like a sphere or something that is almost like a sphere.
What this experiment does is provide a novel and fascinating method to probe subatomic particles, as well as establish an upper limit on how big the abberation could be. Good science.
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Re:Curious question (Score:5, Funny)
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One of the researchers was interviewed on NPR and he said that a round electron throws an unknown variable into a lot of unproven theories. Many scientists were apparently hoping for a significantly elliptical shape in order to make their calculations work out. (Sorry I can't provide a better description. I'm only regurgitating what I heard on the radio.)
One interesting bit is that they had been collecting data for over 10 years, but the researchers prevented themselves from looking at it before the experim
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When the term 'spin' was first coined for sub-atomic particles, it was chosen because it was thought to have some similarities to macro-scale situations. (this was 1925, by about 1928 when Paul Dirac used it, people were already arguing about whether 'spin' really had to correspond to anything physical about the particles shape. Still 'spin' behaves like a form of angular momentum in at least some ways.).
The spin of an electron is 1/2. By that, if it was a macroscopic obj
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Forgive me if this explanation includes some stuff you already know -- I have no idea what your background is.
***
Are you familiar with Taylor (or Maclaurin) series? The idea is that any (well-behaved) function can be written as a polynomial of the form A + Bx + Cx^2 + Dx^3 + Ex^4 + ... ad infinitum, and that when x is close to zero, this expansion is dominated by the first few terms. If you want to see if a given function is a constant, one way to do it is to show that the coefficients B, C, D, etc., are al
Re:Curious question (Score:4, Insightful)
As an aside, it would do you wonders to investigate new methodologies of conveying written information. Your response, most notably the capitalization, the usage of asterisks for emphasis, and the snide remark about political journalism, appeared to have a not-terribly-subtle hint of condescension. As someone who wants to learn more, this is something I most certainly do not deserve after asking a benign question.
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Actualyy, I find it a good question for the simple reason that if you spin an atom fast enough it becomes pear-shape. This is in part because they have internal structure. Thus, knowing if other shapes are possible/expected under any given condition tells you if electrons are believed to have internal structure or not and what that internal structure might be if one is believed.
Internal structure is sensible to assume since there must be Higgs bosons to provide mass and something else to provide charge. Sin
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I have learned from an inside source that the electron in question was born in Kenya or Indonesia and is a muslim. The birth certificate it presented has some very serious flags indicating that the certificate was falsified!
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But the absence of a competing model has ZERO to do with whether or not we should test the current theory.
The absence of a competing model increases the importance of testing the current theory.
LK
Re:Curious question (Score:5, Informative)
Actually, according to the paper the electron is aspheric in many theories, including the standard model (the best theory we have). From the article abstract:
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Re:Curious question (Score:4, Interesting)
Well, having now read TFA (i do that when i'm bored and the topic is ultra-geeky like electron shape must be), it seems all they could have been measuring here is the shape of the electrical and quantum fields around the electrons in not just an atom but a molecule (of the sexily named ytterbium fluoride).
So what they've done is proved solenoidality of both; i.e., that they obey the inverse-square law to an anal-retentive degree; i.e. that force = A*1/r^(2+x) where |x| 1e-29. We only know gravity's solenoidal to about 8 significant figures, for comparison.
Interestingly, the shape of the fields around the nuclei of the atoms in the molecule ought to have played some part. I wonder if they haven't accidentally also proved that nuclei are round to a similar degree.
Re:Curious question (Score:5, Funny)
If your father is made entirely of electrons I'd be shocked to meet him.
all that wave particle jazz (Score:4, Interesting)
So.... it's a sphere when it is a particle?
For years, I've been trying to un-brainwash myself out of the early models of the electron as a little ball whirring around a nucleus, and convert to the probabilistic electron cloud model, as well as the wave/particle hybrid nature.
My head is about to explode. Can someone who is a physicist please chime in?
Re:all that wave particle jazz (Score:5, Insightful)
Your head exploding is a perfectly normal reaction to trying to comprehend modern physics. Carry on.
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At what speed would it explode?
Are there maths that describe the pressure of metaphysical forces on matter?
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At what speed would it explode?
To what degree is it spherical?
Remember, TMI equals width times girth divided by the angle ...
Re:all that wave particle jazz (Score:5, Informative)
No it's not. Your head exploding is a perfectly normal reaction to trying to comprehend the piece of shit that passes as scientific journalism nowadays. I'm a physicist and after reading the article I still had no idea about what the researches discovered. At least Science Daily had the original reference so I could look up. Even more appalling is BBC's coverage: http://www.bbc.co.uk/news/science-environment-13545453 [bbc.co.uk]
They both only said "lasers" about what the group actually measured. As if the measurement technique were as relevant as what they were actually measuring. Even laymen like OP see that there's something weird about saying the electron has a shape and is a sphere. Of course, this makes absolutely no sense. This talk about sphere is a semiclassical analogue that someone in the 20's once thought that could be true and was quickly disproved. What they measured was the electron's electric dipole moment. What is that?
Imagine a small bar magnet, with south and north poles. This is what we call a magnetic dipole. The strength of the magnet (measured in a standard way) is what we call magnetic dipole moment. Now imagine that instead of south and north poles, we have negative and positive electric charges. This is an electrical dipole, and it's strength is likewise the electrical dipole moment.
Now the beauty of the electron is that despite not being a small bar magnet, it still displays a strong magnetic dipole moment, which we call spin. Originally people thought that it could be explained by postulating a structure on the electron (an electric charged spinning sphere gives rise to a magnetic dipole moment, hence the name spin), but quickly we found out that it couldn't be so. We have no explanation for it, it is what it is, just a property of the electron.
But what the electric dipole moment? The electron is a single charge, so it can't be an actual electrical dipole. But despite this, the Standard Model predicts that it has a very small electric dipole moment, too small to be measurable. But Supersymmetry predicts that it is quite larger, and even measurable, and these folks' measurement showed that Supersymmetry's prediction is probably wrong.
Ok, but why did they call it measuring the roundness? Analogously with the spinning sphere model for the magnetic dipole moment, a distorted sphere gives rise to an electric dipole moment. But calling it measuring the roundness makes as much sense as saying that when we measure the magnetic dipole moment (spin) we are measuring the speed with which the electron spins about itself.
So, makes more sense now?
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So, makes more sense now?
Mayyyybe...?
So if something has a north/south polarity in magnetism we say it has a strong "Magnetic Dipole Moment"? Or more simply I would using my non-physicist vocabulary say it has a distinct Magnetic Polarity. Magnetic Moment = Amount of polarity?
So even though the electron obviously has an average electric charge some theories think it might actually be the product of a slightly + in addition to being mostly - field?
But this study found that there isn't any duality to the charge; it's to the best of
Re:all that wave particle jazz (Score:5, Interesting)
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The electron cloud model is the more correct one.
They are using 'spherical' somewhat metaphorically.. what they are actually measuring here is the electron dipole moment. A particle with a nonzero dipole moment causes an asymmetric electric force: A water molecule, for example, has a large dipole moment, so you feel a different electric force when you are near the negative oxygen vs when you are near the positive hydrogen.
So, if the electron has a nonzero dipole moment, it means it is a bit asymmetric in it
puuurfect (Score:5, Insightful)
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It will no longer be possible to measure the error, when you are bald.
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Maybe there is something interesting to be learned about that 'measurement error'...
Re:puuurfect (Score:5, Informative)
No matter how high of an order you go for an approximation, there will always be a truncation error. That is the problem with using infinite series to represent physical models.
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Well, I came here to post the same thing. According to the third paragraph, the measurements were made:
"Using a very precise laser"
Then you ask about how they measured the lasers preciseness and how did they build the laser. You keep investigating and pretty soon after that the turtles (unfairly) end up getting blamed for everything.
Size of the solar system? (Score:2)
What is the radius of the solar system anyway? Furthest planet (40 AU)? Furthest comet orbit (50000 AU)?
But more importantly, how much digits of pi would you need to describe this sphere accurately?
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Last I checked, the furthest planet is only 30 AU out.
Or are you one of those heathens who hold with the sacrilegious notion that Pluto is a planet?
Human hair? (Score:2)
10^-27cm (the spherical error in the article) is 10^-29m. The upper bound on the electron's radius is 10^-22m (Wikipedia). The solar system is roughly 1.5*10^13m in radius (Wolfram Alpha), so 3*10^13m in diameter. If you'd inflate the electron to the size of the solar system, scaling by 3*10^35, the spherical error would be 3*10^6m, which is more than twice the diameter of Earth, according to my calculations.
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Inhuman handwaving.
What about texture? (Score:3, Funny)
Is there a tiny ( - )sign on its surface?
Relative comparison *wildly* off AFAICT (Score:2)
The numbers in the article don't work for me.....
Electron radius (wikipedia): 10^-22 meters
Article's claim of error-from-round: 10^-29 meters
Relative error: 10^7, or 0.1 parts per million
"Radius of solar system" randomly chosen as Eris's avg orbit fo 68AU (wikipedia): 1.017 * 10^13 meters
Relative error scaled to size of solar system: ~1.017 * 10^6 meters, or ~1017km
Now I don't know about you, but my hair isn't exactly 1000km thick, eh?
Avg thickness of human hair (answers.com): 0.1mm, or 10^-4 meters
Ratio by
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Well, it must follow then.. (Score:2)
..that sub-electronic particles either do no exist, or they have no* mass. Otherwise the electronic equator would be at least a teensy* bit fatter, due to its spin.
*no and teensy are both about one over infinity. Plus or minus a tad.
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In the current model, electron has no deeper structure - it's truly fundamental, alongside photon, quarks etc.
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At last! (Score:2)
Define "shape" (Score:2)
How, exactly, do you define the concept of "shape" for something like an electron?
I mean, for a macroscopic object, our "common sense" definition of shape is the boundary at which an outside interaction would feel resistance - if you poke it, that's where you feel the counterforce (weak as it may be). This is actually caused by molecules interacting between each other, but at that point already the concept of "poking" something is kinda hazy, since you already get all that quantum mumbo jumbo strong enough
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The (differential) cross section [wikipedia.org] of an atomic or subatomic particle is well defined and quite close to our idea of 'shape'. It tells you how a test particle being shot a the target 'bounces' off the target. For classical objects it reduces to our intuitive picture (ie, if you are shooting at a sphere, you know how your bullet bounces) but it applies to fuzzy particles too. Unfortunately the wikipedia pages on it are not very detailed and miss a lot. Also check out the 'scattering cross section' and 'rutherf
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Right, that's what I mean. With macroscopic objects, the interaction is either there or it's not. Here, we're rather talking about probabilities - you can't have two particles occupying exactly the same spot, but aside from that you just need to try longer (or shoot harder) to get more "overlap".
But that's not really shape in any common sense, and calling that "round" is quite a stretch. I understand what they mean - that probability of interaction decreases uniformly on all directions from the center - and
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Two other things are important that I forgot to note:
1. They are not measuring the 'shape' of the electron at all.. they are measuring its electron dipole moment. They are using the word 'spherical' metaphorically to mean 'symmetric' or 'with zero dipole'. So my comment about cross section, while answering your question, is actually irrelevant to the study.
2. Assuming zero electroc dipole (so the electron's electric field is symmetric) the electron actually has an infinite cross section, so in this case th
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But my finger consists of molecules and particles as well. If I scale it down to that size, the "finger" is a particle as well. So now you just have two particles of unknown shape...
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Not exactly. The "poking" in this case was done by a laser. You're correct that there's no single point where the electron starts, it's more like a field of interaction. So shape still has essentially the same meaning.
So there's no well-defined boundary, but rather the laser is just more likely to be deflected (or absorbed) as we direct it closer to the center of mass (with a 100% chance right at the center)?
If so, then it's not exactly what I'd describe as "spherical".
What's even crazier (Score:5, Funny)
All the anti-matter is... (Score:2)
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So an electron is not a sphere! (Score:2)
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I think you may be misinterpreting the summary. The precision of their measurements put an upper bound on deviations from perfectly sphericity. The electron can be no more than "the width of a human hair in the solar system" off from being a perfect sphere, or they would have measured it.
So... if the electron is more than ' "the width of a human hair in the solar system" off from being a perfect sphere' they would have measured the human hair instead? Huh, that actually makes sense...
Not a wave? (Score:2)
If an electron is just a wave I might have expected it to be more, well, wavy.
Or is this "shape" representing a distribution of its possible locations?
Width of a human hair (Score:2)
From what part of a human, exactly? And would this hair be blond, perchance?
Or it is irregular in shape (Score:2, Funny)
but spinning very very very very very very very fast.
4D Shape (Score:2)
An electron's shape includes the path that it takes through the "electron cloud". And that path has to date never been plotted with any accuracy, only its overall probability densities in spacetime. It's a fractal (since time's dimension is not an integer), and so it depends in part on the size and shape of whatever measures it.
what? (Score:2)
But does it have volume? (Score:2)
It just seems to me that it wouldn't make sense for electrons to have a volume, because that would imply some kind of structure. Nobody ever seemed to suggest that photons actually have a "shape", other than a point.
Variable shape? (Score:3)
Other subatomic particles...? (Score:3)
It would be interesting to know how the quarks that make up neutrons and protons behave. Do they cluster like a bag of bags of marbles (separate clusters), or cluster like a single bag of marbles (single cluster), or superimpose (one blob, probably spherical). Do these clusters stretch, especially in covalent bonds?
Do we perhaps already know?
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Also:
That's like saying the shape of the ocean is smooth as glass averaged over 10 years. Sure it's true
Citations needed.
Think about it. Taking a huge number of readings over 10 years and averaging them, could give any irregular polyhedron, but it turns out to be an elegant shape.
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Re:Shape? (Score:5, Funny)
My mind is full of fuck.
Re:Shape? (Score:5, Interesting)
This is simplified, don't take this completely literally, but get this first. I'll use a car analogy.
You and several other clowns are in a clown and some of them are juggling. You are driving so you can't look at them. You can't look because you are doing a precision maneuver with several other clown cars. As part of the act they are also exchanging juggling objects with other cars. Even though you can't look at the jugglers you can sense what they are doing due to the fact that their motions and transfer of momentum are throwing you off course. It is important that you stay on course to make the jump. God help you if you hit the ramp like like the last guy did, but the kids like to see this act up close.
If the jugglers are throwing around tennis balls your course will be effected differently than if they were throwing juggling pins.
Now, back in the world of the article you've got the same thing. Atoms with electrons flying around and shared by chemical bonds. The shape of the electrons effects the shape of the molecule. More specifically the shape of the charge around the electron effects the shape.
Don't try to watch the objects being juggled, watch the clown cars try to stay in formation on their way to the jump over lion pen.
It took a long time because the measurements are so delicately precise and spurious data had to be discounted and filtered from the signal. The measurements weren't averaged but they were mercilessly filtered and subjected to analysis to take the "noise floor" down this low.
I am not a physicist. Someone correct me or clarify if I was dead wrong. Thanks!
Re:Shape? (Score:5, Funny)
You and several other clowns are in a clown
Sup dawg, I heard you like quantum physics, so I put a clown in your clown so you can juggle while you drive
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And now I don't know what my name is or where I live any more!
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They didn't measure the particle, they measured the forces between particles.
Intelligent Design with Balls! (Score:2)
The deeper meaning is that the FSMs meaty balls must also be as round and consistent as these electrons. It is a fulfillment of the recipe.
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The deeper meaning is simply that God is the laziest creator ever. Building everything out of the simplest possible shapes. Takes all the fun out of nature. Jerk.
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"It's like Sputnik - spherical, but quite pointy in parts."
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Yea... its round, as far as we can tell...
Thanks for the grant.
FTFY.
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Its shaped like a football.
What kind of football, you ask? Sorry. We'll need more grant money for that.
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Can you read? Well, you made it through the title at least.
OK, so you can't comprehend shit.
Reread it. It should be obvious.