Proton’s mass radius is apparently shorter than its charge radius
arstechnica.com
arstechnica.com
Preprint of Nature paper: https://arxiv.org/abs/2207.05212
HTML5 version: https://ar5iv.org/abs/2207.05212 ("x"->"5" opens up ar5iv.labs.arxiv.org).
Suggesting these 2 articles:
1] Experimental results of proton collision as of 2013 (3 quarks is an observation, but for low energies) :
https://physics.stackexchange.com/questions/81190/whats-insi...
2] Another article from the same author (Matt Strassler). Suggesting to read his answers for the comments of: Harry Bostock, Bob Anderson, and the 2 top comments of "aa. sh." (for more history and Neutron decay)
https://profmattstrassler.com/articles-and-posts/largehadron...
What? Moving at relativistic speeds? I had never heard that.
For general relativity I don’t know such a cutoff rule of thumb. Astronomy-wise, Mercury is the only planet that is obviously general-relativistic (its orbit is not an ellipse because it’s so close to the sun). On Earth, we don’t have strong/inhomogeneous enough gravity, so unless you’re synchronizing satellites or atomic clocks, GR is not something to worry about.
The relativistic effects on Mercury concern its precession - the way that elliptical orbit rotates [1] around the sun. And it's not caused by Mercury's speed (Which is only ~59 km/s at its maximum, compared to the Earth's 30 km/s). It's caused by spacetime being curved by the immense gravitational field of the sun.
If Mercury had a circular orbit, it would have no precession.
[1] Precession is akin to spinning a hula hoop around your body - with the hula hoop representing an orbit. https://en.wikipedia.org/wiki/Apsidal_precession
Relativistic Effects and the Chemistry of Gold - https://link.springer.com/content/pdf/10.1007/BF03215471.pdf
> In atoms of high nuclear charge (Z), as a consequence of a relativistic effect, the s electrons of an atom become more bound and their orbitals smaller than if this effect were absent. Simultaneously, the d (and f) electrons are less bound because of this effect, which scales roughly as Z2. Gold exhibits a large relativistic effect. This accounts for gold being more resistant to oxidation than silver. It also accounts for higher oxidation states being more accessible in gold than in silver. These effects are illustrated by some fluorine chemistry of gold and silver.
https://en.wikipedia.org/wiki/Relativistic_quantum_chemistry
> Relativistic quantum chemistry combines relativistic mechanics with quantum chemistry to calculate elemental properties and structure, especially for the heavier elements of the periodic table. A prominent example is an explanation for the color of gold: due to relativistic effects, it is not silvery like most other metals.
Also the part about mass being generated by motion and how it seems to be an established fact.
Take anything involving virtual particles as just that, virtual. They're an aid for computation and cannot be observed directly. They aren't necessary either; lattice gauge theory is always applicable if not practical.
The mass(-energy) being from the strong interactions is still true. And the residual bit of the strong force between protons and neutrons works with the virtual particle/perturbation theory approach pretty well, using pions.
https://www.forbes.com/sites/startswithabang/2019/07/12/yes-...
So is it that these articles are wrong, or that I'm reading them wrong, or that the idea that virtual particles are just for calculations is outdated?
Virtual particles were invented because they have measurable effects. Physicists don't go around inventing invisible things for no reason. What they are not is "particles". The particle facade is only there because it fits the math.
(The article seems to be describing an experiment that measured energy-time uncertainty.)
Virtual particles are all the disturbances in a field that don't behave like particles do.
It's really a terrible name to have entered the lay vocabulary: “virtual memory is something that behaves largely like real memory” is _exactly_ wrong, it's more like “virtual memory is all the circuitry that doesn't perform any memory function, but is still made of silicon”.
Most chains of disturbances die out really fast (“virtual particles”), but some combinations will resonate for a significant amount of time before they die out (“unstable particles”) and others don't die out at all (“stable particles”).
And if the lifetime of a disturbance is fairly short compared to the frequency of the disturbance itself, it becomes hard to even make a solid distinction between those types, but again, that's a flaw caused by imposing a categorization scheme (“particles”) based on something that isn't fundamental.
I don't have the background to be confident about this, but aren't the predicates on which Hawking Radiation is based on part of the equivalency framework between sonic and "real" black holes?
If so, then while the observation of Hawking radiation in the model is certainly interesting, calling it an observation of Hawking radiation with regards to real black holes sounds like a stretch.
> these other excitations do have real observable effects
Yeah, that's the major thing: virtual particles explain observable effects in a sort-of intuitive way.
But you could (to my knowledge) get the exact same results without involving any virtual particles, via lattice gauge theory. Since you get the same observable results without them, virtual particles, IMO, shouldn't be considered fundamental to any effect, even if they make the explanation a lot easier.
Anything involving complicated interactions with relativity like Hawking-Unruh stuff has an even bigger issue since the notion of a particle/vacuum is observer dependent.
It is more clearly visualized in a perturbative expansion, for sure, but it's a bit disingenous I think to argue that there are no virtual particles in a lattice calculation.
Anyway, the similarity is only on the level of "it's a bunch of moving things locked together by a force". Those things are about as similar to themselves as they are to planetary motion.
That's what they mean by relativistic speed. When effects from special relativity become large enough that you need to account for them in your math and measurements. There is a difference between invariant mass (aka rest mass) and relativistic mass, which depends on the object's velocity relative to the observer.
Instead, composite "particles" have mass mostly because of the energy of their components. This is a famous observation (the most famous by far) in general relativity: E=mc². E here can be the kinetic energy of the constituent particles, or some other kind of energy (for example, a polar molecule like water owes some of its mass to the electrical energy of the bond; and its mass will increase or decrease if placed in a strong electric field, depending on the orientation of the field).
This has nothing to do with the concept of "relativistic mass", which is anyway not commonly used in modern physics anymore. Mass almost always refers to "rest mass", and observer-dependent "relativistic mass" is accounted for only through differences in observer-dependent time and position measurements. That is, instead of saying "as an objects speed approaches the speed of light, its relativistic mass approaches infinity", the preferred interpretation is "as an object approaches the speed of light, time passes more slowly for it, so it takes longer for it to accelerate even if pushed with a constant force".
It's not motion per se, it's energy of any kind. And it's also probably the most famous equation in all of physics: E=mc² (so, m = E/c²).
https://www.quantamagazine.org/inside-the-proton-the-most-co...
Δx*Δp >= ℏ/2
Δp = Δ(mv) >= ℏ/(2Δx)
m = 9.1 * 10 ^ -31 kg (mass of electron)
x ~= 1 * 10^-15 m (radius of proton)
ℏ = 6.6 * 10 ^ -34 kg m^2 / s (plancks)
Δv >= 31 524 512 m /s
Which is about 1/10 the speed of light. There isn't a true cutoff for "relativistic speeds" but in general, 1/10th counts.
Consider a photon. We're all pretty familiar with how these work. Photons are light, and move at c. Photons also crucially don't have any mass, which is why they can move at the speed of light-- nothing with mass can move at c.
Photons are energy carriers for the electromagnetic field. They transfer electromagnetic energy from one particle to another. There's several quantum fields permeating the universe, and each has its own energy carrier particle[0]. These are known as bosons, or sometimes force mediators.
Atoms can influence each other through the electromagnetic field. An electron in one atom can drop to a lower energy state (or orbital), and releases a photon with all the energy that the electron "lost". That photon can bump into another atom, which causes one of its electrons to jump up by the same amount of energy.
Protons are made of quarks, which are held together with the strong nuclear force. The energy carrier for the strong nuclear force is called a gluon. Gluons bounce back and forth between the quarks, transferring energy for the strong nuclear force. This energy is used to pull the quarks together[1]. Again, because the gluons don't have mass, they can (and must) move at light speed. The quarks themselves do have mass, and they vibrate and wiggle around, but only at sub-light speeds.
Particle physics is really weird at first glance, but it makes a certain kind of sense once you learn a bit about it. It also makes less sense the more you learn. You've been warned.
[0] Except gravity. Maybe. We've theorized, but haven't observed the graviton particle mediating the gravitational force [1] gluons keep quarks a certain distance apart, sort of like a spring
It also isn’t obvious to me what “mass radius” ought to mean...
I guess like, the average distance from the center of the mass, but like...
Idk, I guess that makes sense..?
But I guess I’m not sure what the “meaning” of that quantity would be? Like, what makes that a relevant quantity for describing the system? Is it in case you are hoping to describe some gravitational effects? Or...?
Hmm... well, I guess one could ask the same question about the “charge radius”... but that one to me sounds like it would have clearer uses? Like, if you are describing the EM forces on/from a charge, then the charge being distributed over a region would have different results than if it were at a single point I’d think.
Though, “the center of the proton” also doesn’t have one single position either.. but I imagine one could kind of separate those two things, comparing “what if we had a point particle with the charge and mass of a proton (which of course would be in a superposition over a range of positions)” to “what if we had a proton, with charge distributed about the center (and the center distributed over a range of positions in the same way as the hypothetical point particle)”
There are many different kinds of outside influence. They can be scalar (think: just increasing the pressure uniformly), vector (put in an electric field), tensor (zap with a gravitational wave), pseudovector (magnetic field), pseudoscalar (zap with a pion).
Of course, you can apply a scalar outside influence and a vector at once. But the scalar, vector, tensor, pseudovector, and pseudoscalar labels denote different representations of the Lorentz group [lorentz].
What's more: the Wigner-Eckhart theorem [wigner] basically says [cheat] that the response can be factored into three pieces: the strength of the external influence, a factor that depends only on the representation of the external influence, and a factor that depends only on the property of the thing you're talking about (a proton, in this instance).
So people call it the gravitational form factor because if you exposed the proton to a gravitational wave, it's the thing you need to know about the proton to know how it deforms.
Note that because of the factorization you don't actually have to zap the proton with a gravitational wave! You can measure it by zapping the proton with other stuff, as long as you can get that stuff to have the right rotational properties or measure the response to many different perturbations and sum the responses the right way to mock up a tensor operator. The experiment at JLab doesn't use gravitational waves, it uses these latter approaches.
Roughly speaking at zero momentum the form factor is the charge of the object you measure if it's just sitting there. So the electric form factor evaluated at zero momentum is the electric charge, the gravitational form factor evaluated at zero momentum is the mass.
What are radii? Express the form factor as a function of momentum^2 [possible]. In units that physicists like to work in (where c=1, hbar=1), the units of momentum are 1/length. Expand the form factor as a Taylor series in momentum^2 and you will get
form factor(p) = charge + # radius^2 p^2 + ...
where # is a known dimensionless number.The above story is a cartoon but can be made more-or-less precise depending on how much quantum field theory you learn.
lorentz: https://en.wikipedia.org/wiki/Representation_theory_of_the_L...
wigner: https://en.wikipedia.org/wiki/Wigner%E2%80%93Eckart_theorem
cheat: this is a little bit of a cheat, it's only true to leading order in a taylor series in the strength of the external influence.
possible: it's always possible to arrange this, or at least to separate the momentum dependence into a factor dictated by the rotational symmetry properties and another factor dictated by the object, just like in the Wigner-Eckhart theorem.
"Note that I am not even attempting to find an analogy for the gluonic gravitational form factors that would help you understand them. They're described in the paper as "the matrix elements of the energy–momentum tensor of the proton"
The energy momentum tensor is the same as the stress energy tensor.
This is one hypothesis, but not a stated fact in the article.
+2. -1. +2
If these charges are equally spaced, the attraction of the middle one in stronger than the repulsion of the outer two.
I guess we could design a bunch of picometer-scale scaffolds that hold everything in place and this might work, but that doesn't seem to be the way nature put things.
I would also posit that just maybe there is such thing as an electrostatic black hole. When matter is accelerated gravitationally to speed c, you reach an event horizon. Same should happen if the acceleration is due to charges, but will happen at a scale similar to the size of baryons. I'd say there is a lot of room for some theoretical developments in this area.
If that were the case, you would expect protons to tear apart in the presence of strong electric fields. The fact that this seems impossible suggests pretty strongly
To your point on if such an arrangement would be possible or not ignoring the strong force, it would not. The "net-charge" viewed from the +2 quark would be repulsive, resulting in an unstable arrangement of matter, even if you could construct it in an equilibrium state it would be the unstable kind.
Even mass itself can be viewed as a "charge" corresponding to the gravitational field.
https://arxiv.org/abs/2102.00110
" Collaboration data to extract the r.m.s. mass radius of the proton Rm=0.55±0.03 fm. The extracted mass radius is significantly smaller than the charge radius of the proton RC=0.8409±0.0004 fm. "
This is 1.26 (or 0.79). Does not seem to fit experiment, even when fiddling with error bars. OK, so no volume vs surface effect then. *Suppose that both gluon and quarks are really in the exact same region, but that the 'effective' behaviour is "on the surface" for one of them, while "in the whole volume" for the other. In three dimensions, the "effective" radio would differ, in one it would be a factor (0.5)^(1/3) smaller.
IMO it's much easier for you to answer your specific question with an easy search than it is for article authors to anticipate every question and keep answering it in every article.
There's already tons of expert written and reviewed content designed to teach science. Go buy any textbook on the subject. You can usually get them very cheaply if you don't mind older editions. Libraries will also have these types of books you can checkout for free. Once you've exhausted information found in textbooks you can start actually reading the scholarly journals these pop-sci articles are written about. Once you've read enough scholarly journals, you might have your own questions that aren't answered yet. Then, you can conduct your own science......
Books are great for looking up quick tidbits of information too. Chapter titles and indexes are great for jumping to relevant information.
Google is way lower friction, but even that requires some manual sorting through.
Seems like exactly the thing a good language model would be great at. If they can't do that, where the stakes are low and the task is exactly the domain of LLMs, then I don't see how they'd be useful for anything.
I think I'm optimizing for the correct variables.
For the qubit example, they're not asking for the article to always describe what a qubit is, just if you're going to only write it as "α|0⟩ + β|1⟩" it would be helpful to put (qubit quantum state) the first time you do so in the article.
Such content doesn't need to be right in the beginning of an article, it could be linked to or at the bottom of the page.
ψ – psi – pronounced "psaai" (as in "top side") or "saai" (as in "side").
from "Pronunciation of the Greek alphabet in English":
https://jakubmarian.com/pronunciation-of-the-greek-alphabet-...
And I wonder how useful symbols like æ ə ʌ are to people asking how to pronounce Greek.
So...why don't we spell all languages with that alphabet? Think of the increase in efficiency!
My doctor has signs and other notices that you should arrive 15 minutes before your appointment. I asked "why don't you just make all the appointments 15 minutes earlier?"
Generally speaking, the Great Vowel Shift did quite a number on anything originally Latin or Greek.
It will drive them crazy.
I agree. Scientific research should be for everyone, including people who would like reliable text-to-speech versions of definitions.
I invite you (and the author of the comment you replied to) to take up any of the four suggestions at the bottom of https://info.arxiv.org/about/accessibility.html