Ever wonder what the mathematical equation for the Standard Model is?

ack · Feb 1, 2017

I am posting this here so I can easily come back to this fascinating subject, but perhaps others will also be interested. The following video is an excellent, though a little outdated, reference (because it does not include the Higgs Boson discovery), and it includes the mathematical equation for the Standard Model as of ca 2008:

From what I can tell, groups of these equations represent each of the particles in the Standard Model, including Higgs (do H's need to be qualified in there????)

See 6:24 of this wonderful video on research at the LHC, by superstar Brian Cox

[video]https://www.ted.com/talks/brian_cox_on_cern_s_supercollider[/video]

If your head isn't spinning yet, perhaps this will do it https://en.wikipedia.org/wiki/Standard_Model_(mathematical_formulation)

SCAudiophile · Feb 1, 2017

ack said:
I am posting this here so I can easily come back to this fascinating subject, but perhaps others will also be interested. The following video is an excellent, though a little outdated, reference (because it does not include the Higgs Boson discovery), and it includes the mathematical equation for the Standard Model as of ca 2008:

From what I can tell, groups of these equations represent each of the particles in the Standard Model, probably NOT including Higgs (do I see unqualified H's in there????)

See 6:24 of this wonderful video on research at the LHC, by superstar Brian Cox

[video]https://www.ted.com/talks/brian_cox_on_cern_s_supercollider[/video]

If your head isn't spinning yet, perhaps this will do it https://en.wikipedia.org/wiki/Standard_Model_(mathematical_formulation)

Fascinating material,...thank you for posting! I'm reminded of Feynman and his effect on the world of physics around him, i.e. questioning everything and pushing thinking into new and interested directions.
(Don't want to start a debate of who is better or smarter Feynman or Cox,....just drawing an interesting parallel...)

NorthStar · Feb 1, 2017

I'm in; this his home, this is real advancement. Everything I need to know is right here; I don't have to lose time searching in lost avenues.

That is one giant mathematical equation! And that TED video...right on!
_____

Bonus: ? http://www.ted.com/talks/eduardo_briceno_how_to_get_better_at_the_things_you_care_about

GaryProtein · Feb 1, 2017

The result of the equation is asymptotic to 4.352.

SCAudiophile · Feb 1, 2017

42
Don't forget your towel...

BlueFox · Feb 1, 2017

I wonder about a lot of things, but some things I leave to the experts. Math, it's women's work.

ack · Feb 1, 2017

Great, everyone gets it, that's really great. Now let's look at the elementary particles below and the letters assigned to them, then go back to the formula and try to spot, say, the section for the photon, and then the Z boson

Then figure out the values that give the DNA of a "golden ear"

SCAudiophile · Feb 2, 2017

ack said:
Great, everyone gets it, that's really great. Now let's look at the elementary particles below and the letters assigned to them, then go back to the formula and try to spot, say, the section for the photon, and then the Z boson Then figure out the values that give the DNA of a "golden ear"

HERE WE GO!

, this could turn into one very interesting thread/debate <LOL>!

DonH50 · Feb 2, 2017

No proton? Of course, it has been ages since my last quantum physics (dynamics) course, haven't done much since, and I remember more about than man than the math from the few Feynman lectures... Still awaiting news on the graviton so I can build a Macroscope, or just a measly little Flux Capacitor.

wisnon · Feb 2, 2017

So no takers for the constant expansion theory here?

ack · Feb 2, 2017

DonH50 said:
Still awaiting news on the graviton so I can build a Macroscope, or just a measly little Flux Capacitor.

There is actually progress on understanding gravity - see https://phys.org/news/2017-01-cosmologists-closer-quantum-gravity.html

wisnon · Feb 2, 2017

Gravity, the only perpetual motion machine...

steve williams · Feb 2, 2017

I'm trying to educate myself. Is this helpful?

http://www.symmetrymagazine.org/article/the-deconstructed-standard-model-equation

wisnon · Feb 2, 2017

Yes indeed,
The Final Theory book makes some good points.

steve williams · Feb 2, 2017

you guys are in a league of your own

wisnon · Feb 2, 2017

Its lonely being a pioneer...LoL

ack · Feb 2, 2017

Steve Williams said:
I'm trying to educate myself. Is this helpful?

http://www.symmetrymagazine.org/article/the-deconstructed-standard-model-equation

Excellent, Steve, excellent. Now given that ? is the Higgs field, what can we tell about the mass of the photon?

steve williams · Feb 2, 2017

ack said:
Excellent, Steve, excellent. Now given that ? is the Higgs field, what can we tell about the mass of the photon?

as I said you guys are in a league of your own.

ack · Feb 2, 2017

Steve Williams said:
as I said you guys are in a league of your own.

Ah, don't give up so quickly, we are not smarter than you. So that was a trick question; the photon does not interact with the Higgs field, and therefore, remains massless. Aha, we already knew that! So why is that? Well, see http://physics.stackexchange.com/questions/23161/why-don-t-photons-interact-with-the-higgs-field

Photons interact with the "Higgs doublet" but they don't interact with the "ordinary" component of the Higgs field whose excitations are the Higgs bosons.

The reason is that the Higgs vacuum expectation value is only nonzero for the component of the Higgs field whose total electric charge, [FONT=MathJax_Math]Q[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Math]Y[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]T[/FONT][FONT=MathJax_Main]3[/FONT]
where [FONT=MathJax_Math]Y[/FONT] is the hypercharge and [FONT=MathJax_Math]T[/FONT][FONT=MathJax_Main]3[/FONT] is the [FONT=MathJax_Math]z[/FONT]-component of the [FONT=MathJax_Math]S[/FONT][FONT=MathJax_Math]U[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Math]w[/FONT] weak isospin gauge group, is equal to zero, i.e. for [FONT=MathJax_Math]Y[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Main]±[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]2[/FONT] and [FONT=MathJax_Math]T[/FONT][FONT=MathJax_Main]3[/FONT][FONT=MathJax_Main]=[/FONT][FONT=MathJax_Main]?[/FONT][FONT=MathJax_Main]1[/FONT][FONT=MathJax_Main]/[/FONT][FONT=MathJax_Main]2[/FONT]. That's why the coefficient of the [FONT=MathJax_Main]([/FONT][FONT=MathJax_Math]h[/FONT][FONT=MathJax_Main]+[/FONT][FONT=MathJax_Math]v[/FONT][FONT=MathJax_Main])[/FONT][FONT=MathJax_Math]A[/FONT][FONT=MathJax_Math]?[/FONT][FONT=MathJax_Math]A[/FONT][FONT=MathJax_Math]?[/FONT] term is zero.

In other words, the vacuum condensate of the Higgs field that fills the space is charged under the weak charges, including the hypercharges and the weak [FONT=MathJax_Math]S[/FONT][FONT=MathJax_Math]U[/FONT][FONT=MathJax_Main]([/FONT][FONT=MathJax_Main]2[/FONT][FONT=MathJax_Main])[/FONT]

charge, but exactly under the right combination of these charges, the electric charge, the condensate is neutral. It would be "bad" if the vacuum carried a nonzero electric charge. It doesn't.

Nope, I don't get the explanation either, but I do get the last sentence. But, like you, we try to train ourselves by reading the right stuff. So let's then figure out how one gets "trained ears" in that other silly thread. I think I am going to state the obvious... by listening to real sounds and live instruments... Impressive! (This was directed to everyone, not you specifically)

steve williams · Feb 2, 2017

So let's then figure out how one gets "trained ears" in that other silly thread. I think I am going to state the obvious... by listening to real sounds and live instruments... Impressive!

Kudos to you ack for stating the obvious. Gregadd suggested it when he implied the Emperor has no clothes

Ever wonder what the mathematical equation for the Standard Model is?

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