More on Matter vs. Antimatter

Yesterday, I wrote to you about part 5 of The Greatest Story Ever Told, about how the Universe came to have more matter than antimatter in it. And many of you correctly responded that I had given too much detail and not enough explanation.

So, I want to try again for all of you. Here's the explanation, starting at the beginning.

The Universe inflated first, stretching it flat and making it uniform, both everywhere in space and in all directions equally. Then inflation ended, and all the energy that was making it inflate got dumped into particles and radiation. This part, when inflation ended, could be called the "classical" big bang.

The radiation and these particles were incredibly energetic, even compared to anything we've ever created in a laboratory. It was so energetic that there were no atoms, nuclei, or even protons or neutrons. What you need to do, if you want to understand what the Universe looked like at this time, is imagine the tiniest point particles and all of their antiparticles, flying around in great abundance, as close to the speed of light as the conservation of energy allows them. This means electrons, muons, taus, all six quarks, neutrinos, and all of their antiparticles in equal abundance, in addition to whatever else may be out there.

They're also way more abundant at this time -- by about a factor of a billion -- than matter particles are today. But if this was all we had in the Universe -- matter and antimatter in equal amounts -- they would annihilate away (like matter and antimatter are wont to do), until there were so few particles left that they couldn't find each other in this huge and expanding Universe.

But this didn't happen; if it did, only one in every hundred billion particles that exist now would still be here, and half of them would be antiparticles. (This is down by a factor of about 1020 from the particles & antiparticles that existed at the end of inflation.) So something had to have happened that made the Universe choose matter over antimatter, and at the level of about one extra matter particle for every billion matter/antimatter particles out there, otherwise nearly everything would have annihilated away into photons (i.e., light) by now.

So what happened? Well, we know that there are a few constraints between matter and antimatter. First off, if you have an unstable matter particle, its corresponding antimatter particle is also unstable. Because of symmetries between matter and antimatter, they need to have the same total decay rate, which means they need the same lifetime and they need to be able to decay into the opposite, corresponding particles. And finally, whatever it is that they decay into, there is a conservation law telling us that the net number of baryons (protons & neutrons) must equal the net number of leptons (electrons and neutrinos) that you create.

This works out to be amazingly convenient, because we do have a Universe with equal numbers of protons and electrons! But, I wanted to tell you how this happened. There are many different ways, including (here come some scientific names) GUT baryogenesis, leptogenesis, electroweak baryogenesis, and the Affleck-Dine mechanism.

But let's make up a way to do this that's even simpler than any of these, just to show you how this is possible. Imagine that we have a new particle called Y, which is neutral and unstable, and its antiparticle, Y*. This is both necessary and reasonable; in fact, it seems unreasonable to imagine that we've discovered every single particle in the Universe, considering that there's such a significant energy range left to explore.

We need to produce a lepton for every baryon we produce, and an anti-lepton for each anti-baryon we produce. We also have to conserve charge, and we need for the Y and the Y* to allow the same types of decays. The one way they're allowed to be different is known as CP violation, which means that particles can decay through one decay route more frequently than their antiparticles do, and antiparticles can decay through an alternate route more frequently.

So let's say the Universe is full of -- among other things -- Y's and Y*'s. The Y's can decay into either a proton (one baryon) and an electron (one lepton), or an anti-neutron (one anti-baryon) and one anti-neutrino (one anti-lepton). In both cases charge is conserved and we meet our conservation law about baryon number equaling lepton number. What do the Y*'s do? Well, our conservation laws tell us they must decay into either an anti-proton (one anti-baryon) and a positron (an anti-lepton) or into a neutron (one baryon) and a neutrino (one lepton).

But remember what CP-violation lets us do: it allows the Y's to decay into protons and electrons more frequently than they decay into anti-neutrons and anti-neutrinos, and it allows the Y*'s to decay into neutrons and neutrinos more frequently than they decay into anti-protons and anti-electrons. It means that if we have a thousand Y's and a thousand Y*'s, 501 Y's can become protons and electrons while 499 become anti-neutrons and anti-neutrinos, while 501 Y*'s can become neutrons and neutrinos, while 499 become anti-protons and positrons. The protons and antiprotons, neutrons and anti-neutrons, and electrons and positrons will all find each other, annihilating away. But what will be left over? Two extra protons, two extra electrons, two extra neutrons, and a bunch of neutrinos and anti-neutrinos.

In other words, more matter than antimatter. I realize this is a difficult topic and I'm sorry I don't have a simpler way to explain it, but that may be because I don't have a simpler way that I understand it. So ask your questions here, and if there are enough good ones that are answerable in a reasonable length, I'll take them on at the end of the week. In the meantime, I hope this clarification helps!

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I just have a quick note. Under the nice picture of the particle soup, you have:

"But if this was all we had in the Universe -- matter and antimatter in equal amounts -- they would annihilate away (like matter and antimatter are wont to do)".

I think that section in parenthesis may need some tweaking.

Otherwise great writeup, I will share it around.

Thanks Ethan for making this more palatable. Is there a way to predict a Cp violation, or is this an "observable" where we lack a theoretical basis?

OK, so hadronization occurs to the quark/gluon plasma after the BB about 170 Mev and this (thanks) I understand, however hadronization in higher temperatures due to color confinement also occurs combining quarks and anti-quarks. I agree that stabilization would require a cooler temperature but couldnât hadronization become unequal during high temperature hadronization and so to say set the stage for a later and more permanent hadronization?

OK not experimentally seen as yet, I mean it is a possibilityâ¦isnât it?

Iâve read that electro-weak baryogenisis alone does not provide enough disparity between matter and anti-matter to provide what we see.

âThere is currently insufficient observational evidence to explain why the universe contains far more baryons than anti-baryons. A candidate explanation for this phenomenon must allow the Sakharov to be satisfied at some time after the end of cosmological inflation. While particle physics suggests asymmetries under which these conditions are met, these asymmetries are too small empirically to account for the observed baryon/anti-baryon asymmetry of the universe.â

The three conditions that must be met to provide a disparity in baryons/anti-baryons are
Baryon number B violation.
C-symmetry and CP-symmetry violation.
Interactions out of thermal equilibrium.

Andrei Dmitrievich Sakharov

Would not the decay route that you speak of be dependant to an earlier higher temperature hadronization of QGP?

I do understand what you describe and it is very helpful.
If I have missed the mark please correct me.

One more quick question OT (in the picture at the top of the page ) is that a sword or a dagger? Iâve been curious for some time now. Cool pic!

By Sphere coupler (not verified) on 02 Mar 2010 #permalink

I know this is a "are we there yet?" question:

Why is there a CP-violation?

By NewEnglandBob (not verified) on 02 Mar 2010 #permalink

just a simple note:

The explanation assumes that the decay rate should be higher than the annihilation rate of the matter and antimatter..the later might be related to the density of matter and antimatter.

New England Bob:

I don't understand what kind of answer you're looking for ("why" questions are always hard that way). CP is a symmetry transformation. Either nature is symmetric under this transformation or it is not, and we've seen in experiments (in the 60's for the neutral Kaons, in B mesons at BaBar and Belle more recently) that it is not.

For people asking about CP violation: As Brian H says, CP is a symmetry which could be a feature of nature but is not formally required and is in fact found to be violated. (Although the symmetry CPT, where T is time reversal, is required for a Lorenz invariant field theory.)

However, CP itself does have some constraints. For instance CP violation in the quark sector can only occur if there are more than two families of quarks. Hence its detection in decays allowed the prediction of a third quark family (bottoms and tops) before there was much independent evidence. Moreover, CP violation could be spontaneous, i.e. CP symmetry could be valid at high energies and hidden at observable scales. This is relevant since certain GUT theories, notably SO(10) necessarily have no CP violation, but it can come in at lower energy scales when SO(10) is spontaneously broken to the Standard Model symmetries than define the known quantum forces.

Also n.b., the equal number of baryons and leptons that Ethan mentions is linked to B-L symmetry. Unless I'm mistaken this is also not in general a logically required symmetry and in fact is probably broken at everyday scales, but it may be restored at GUT scales.(And is also a part of SO(10)).

Could you also provide a little background on how we know all this? For instance, how do we know how many particles and anti-particles there were at the big bang, considering that most of them have apparently disappeared?

Also, did we figure out that CP violation caused the imbalance because it fits the number of left-over particles? Or do we know how many particles were left over because it was CP violation causing the imbalance?

Mighty interesting stuff, this, thanks :)

Philosophical point: if things had gone the other way and left more antimatter than matter, we'd still call the more common form 'matter'.

Matter and anti-matter represent the right-hand and the left-hand universe's annihilation into a state of pure energy creating a "space" as we perceive it. In the "Big-boom" theory, right-hand matter may have started slightly before left-hand matter in the imploding collapse, creating a "residue" of right-hand matter which rules. It's hard to think of matter as residue but can explain why there is proportionally so little of it compared to "dark matter" (unseen gravity force) and anti-gravity or "dark energy" which perpetually creates "space" through its dominance.

By E. E. Hundt (not verified) on 03 Mar 2010 #permalink

Wait... so if matter and anti-matter are almost exactly the same until you touch the other one and explode, how do we know that the universe is predominantly made of matter? I've tried looking around, but the usual suspects haven't turned anything up.

Brian H @ 1: I think Ethan is using the archaic "wont", which means "an individual's habit". He is not using the word "won't".

Ethan: This clears things up a lot. CP Violation is confusing. Also, it is said that in a truly infinite Universe, all things must be possible. Like a duplicate Milky Way, right down to the people on earth, every so many trillions of light years (this also implies duplicate Milky Ways where there are only slight differences - like different ice cream flavors on Earth - must also be extant - Weird).

I realize this is purely a Philosophical mental exercise, but, in an infinite Universe, mustn't there be an (infinite amount of) duplicate "observable Universe(s)", all made of anti-matter? These could be "infinitely far away" from any matter based super-clusters, so no hydrogen-antihydrogen annihilations would be observed.

Dealing with infinities is always very strange. However, the alternative leads to even stranger things. Curse you, Universe! You make us think so much!

As usual Ethan, great post.

As usual, The Amazing Randi can duplicate this trick without the use of any GUT baryogenisis hypothesis or any CP violation hypothesis. He just is able to make all the "hypothetical antimatter" in the early universe disappear; because no human eye or instrument has or will ever see such "hypothetical antimatter" in our "observable universe".

If we are allowed to or MUST hypothesize the unobservable (e.g. the "hypothetical missing antimatter", the "perfect vacuum", "absolute" space, Dirac's "infinite sea of completely unobservable particles of negative energy" and so on); then we can invent a lot of interesting stuff (as long as it doesn't violate our current laws of physics).

For example, according to Stephen Hawking "The universe would behave the same if one replaces particles with antiparticles, took the mirror image, and also reversed the direction of time." And of course such an antimatter, mirror image, time reverse universe would be entirely unobservable to us if it were spatially orthogonal to our "observable universe".

The "hypothetical missing antimatter" of our observable universe is an important theoretical problem to which no adequate solution has been found in either elementary particle physics, cosmology or string theory.

Wait... so if matter and anti-matter are almost exactly the same until you touch the other one and explode, how do we know that the universe is predominantly made of matter? I've tried looking around, but the usual suspects haven't turned anything up.

If we are allowed to or MUST hypothesize the unobservable (e.g. the "hypothetical missing antimatter", the "perfect vacuum", kettlebell dvdkettlebell exercises"absolute" space, Dirac's "infinite sea of completely unobservable particles of negative energy" and so on); then we can invent a lot of interesting stuff (as long as it doesn't violate our current laws of physics).

This is relevant since certain GUT theories, notably SO(10) necessarily have no CP violation, but it can come in at lower energy scales when SO(10) is spontaneously broken to the Standard Model symmetries than define the known quantum forces.

This is both necessary and reasonable; in fact, it seems unreasonable to imagine that we've discovered every single particle in the Universe, considering that there's such a significant energy range left to explore.

Yes, yes, yes of course but CP violation is not nearly enough to explain yada yada yada.

But CPT symmetry means that a mirror image, time reversed, antimatter universe obeys relativity and quantum mechanics.

Thus missing antimatter hints at a phase change of quantum objects between matter and antimatter dimensionalities.

A pink elephant field (i.e. inflation) can be conjured with mathematical numerology whether the cosmos blueshifts, redshifts or oscillates.

Inflation is kind of a cosmic Hooke's field with of course cosmic Hooke's psuedoparticle, which should not be confused with the hypothesized Higg's particle.

By AngelGabriel (not verified) on 16 Aug 2010 #permalink

they would annihilate away (like matter and antimatter are wont to do), until there were so few particles left that they couldn't find each other in this huge and expanding Universe.

they would annihilate away (like matter and antimatter are wont to do), until there were so few particles left that they couldn't find each other in this huge and expanding Universe.

If you're tired of all this, maybe it's because you have been neglecting your fitness. It's time for kettlebell exercises"

By Paul Jones (not verified) on 07 Sep 2010 #permalink

In the "Big-boom" theory, right-hand matter may have started slightly before left-hand matter in the imploding collapse, creating a "residue" of right-hand matter which rules.

Same as Origins, really. But I have to commend BioWare on giving you your healer very near the start (Anders), because that was a bit of a problem, for me, with Origins.

Is antimatter the same as dark matter? You know, those dark spaces between solar systems which blocks light.

@dmaa: You confuse several things here. First, the "dark spaces between solar systems which blocks [sic] light" is neither "dark matter" (in the sense in which it is usually used in astronomy) nor antimatter; that stuff is commonly called "dust" in astronomy and consists mainly of molecules which are also well-known on Earth. Second, antimatter is not the same as dark matter. Antimatter consists of "antiparticles" to the ordinary known particles (like the electron, proton etc.); when a particle and an antiparticle meet each other, they "annihilate" each other, i. e. they destroy each other, and only energy is left (usually in the form of photons). Antiparticles are well known; physicists do experiments with them all the time. In contrast, Dark Matter consists of hypothetical particles which have not been observed directly so far; it is only known to exist due to its gravitation.

Thanks, these posts are great!

I have one question. If I remember correctly, Hawking in Brief History (1988) speculates that there could be the same amount of matter/antimatter in the universe. For all we knew, other galaxies could be antimatter galaxies.

So, how recent a discovery is what's explained on this post?

For people asking about CP violation: As Brian H says, CP is a symmetry which could be a feature of nature but is not formally required and is in fact found to be violated. (Although the symmetry CPT, where T is time reversal, is required for a Lorenz invariant field theory.)

However, CP itself does have some constraints. For instance CP violation in the quark sector can only occur if there are more than two families of quarks. Hence its detection in decays allowed the prediction of a third quark family (bottoms and tops) before there was much independent evidence. Moreover, CP violation could be spontaneous, i.e. CP symmetry could be valid at high energies and hidden at observable scales. This is relevant since certain GUT theories, notably SO(10) necessarily have no CP violation, but it can come in at lower energy scales when SO(10) is spontaneously broken to the Standard Model symmetries than define the known quantum forces.

Also n.b., the equal number of baryons and leptons that Ethan mentions is linked to B-L symmetry. Unless I'm mistaken this is also not in general a logically required symmetry and in fact is probably broken at everyday scales, but it may be restored at GUT scales.(And is also a part of SO(10)).

I decided to re-post it here, to remind myself to âspeak upâ outside my roleâbut to do so appropriately.

با سلام. شکل ذرات ایجاد شده مثل هنر نوین نقاشی چیره دست میباشد.که با گرمای زیاد وضربات لیزر بای خورد کردن ذرات وایجاد ماهرانه بر خورد ماده وضد مادهترسیم شده است .بامیل پراکندگی شدید.حتمی رعایت B.CP.C .که بهر حال نقض C را چگونه در حالی که تقارنCP یک از ویژگیهای طبیت را می نماید.ضد ماده وجود دارد.تا تعادل هستی را رقم زند .بگو..سیاه چاله ضد ماده یا فقط بلیدن کرات وغیره وآن طرف آن چه می شود.اگر چیزی از آن بتواند بگذرد.تاریکی چرا ضد ماده است وقتی روشنایی بر آن قلبه می کند. بهر حال تبریک عرض می کنم.

By afshar badrloo (not verified) on 10 May 2014 #permalink