I suspect that Bonsai, often a man of few words, may have been referring to particle physicists.
He will have been aware for some time that I am useless at maths!
😀 😀 😀
Looks like you had the same experience as me with math, Galu. At school one day, I was looking out the window, daydreaming as usual. I was suddenly startled by my math teacher (Mr. O'Neil) banging on my desk. 'Off with the fairies again Russell? Right, explain to the class what this means' he said pointing to some incomprehensible algebra on the board. I think there were 5 or 6 lines in some sort of table (probably algebra rules IIRC). So I rattled some stuff off for a minute or so to absolute silence in the class except for the occasional snigger from the brighter lads. When I stopped he looked at me. 'Well done! Well done! You just got every single one WRONG!'. I don't think I ever recovered from that wrt math.
But, he let me off because I repaired his portable radio a few times. On one occasion, the dial mechanism stopped working because the nylon string that was used in those days to operate the tuning cap pully from the tuning dial had come off. So I repaired it for him and took it in - he was very grateful. However, the next day, he handed the radio back to me 'The tuning dial is now going backwards!' How the hell I did that I'll never know, but I eventually sorted it out.
😀
Looks like you had the same experience as me with math, Galu. At school one day, I was looking out the window, daydreaming as usual. I was suddenly startled by my math teacher (Mr. O'Neil) banging on my desk. 'Off with the fairies again Russell? Right, explain to the class what this means' he said pointing to some incomprehensible algebra on the board. I think there were 5 or 6 lines in some sort of table (probably algebra rules IIRC). So I rattled some stuff off for a minute or so to absolute silence in the class except for the occasional snigger from the brighter lads. When I stopped he looked at me. 'Well done! Well done! You just got every single one WRONG!'. I don't think I ever recovered from that wrt math.
But, he let me off because I repaired his portable radio a few times. On one occasion, the dial mechanism stopped working because the nylon string that was used in those days to operate the tuning cap pully from the tuning dial had come off. So I repaired it for him and took it in - he was very grateful. However, the next day, he handed the radio back to me 'The tuning dial is now going backwards!' How the hell I did that I'll never know, but I eventually sorted it out.
😀
I'll have you know, @Galu, that I only struggled with Derivatives because I haven't done a serious one in about 40 years. The word is rusty. I thought that was a cheap shot. 😡
What is the relationship between the Higgs potential (246 GeV) and the Higgs particle mass (125 GeV/c^2)? You want to know, and I have found out. Seems I have to do ALL the work round here.
https://profmattstrassler.com/artic...ks-with-math/3-how-the-higgs-particle-arises/
h is Planck's constant as usual.
What it boils down to is the Higgs mass is 1.414... X 87 GeV/c^2 approximately. The quantity a happens to be a sort of average of the mass of the W and Z bosons, in a vague way.
Cue Arvin Ash:
Excellent. 🙂
What is the relationship between the Higgs potential (246 GeV) and the Higgs particle mass (125 GeV/c^2)? You want to know, and I have found out. Seems I have to do ALL the work round here.
https://profmattstrassler.com/artic...ks-with-math/3-how-the-higgs-particle-arises/
h is Planck's constant as usual.
What it boils down to is the Higgs mass is 1.414... X 87 GeV/c^2 approximately. The quantity a happens to be a sort of average of the mass of the W and Z bosons, in a vague way.
Cue Arvin Ash:
Excellent. 🙂
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I have previously told the tale of my mathematics teacher's chagrin elsewhere in this forum.
She once declared to the denizens of class 3D* that she "would be better off teaching pigs".
Her comment was prompted by me laughing out loud at a classmate's joke during one of her interminable monologues.
There was no pleasing that woman - at least for once I had stayed awake in her class! 😀
*I suspect that the D in class 3D stood for Dunces.
From your link, m ≈ 125 GeV/c², where m is the mass of the Higgs boson.
To explain to interested parties, m = 125 GeV/c² is simply the equation E = mc² written in the form m = E/c².
For simplicity, the mass of the Higgs boson is normally given in terms of its energy equivalent, i.e.,125 GeV.
As the W and Z bosons weigh in at 80 and 90 GeV, I would need further explanation of why the 125 GeV of the Higgs is "a sort of average".
Ah, sorry! I misread that, thinking the first "a" was a mistype.
After reading your edit, I see you were talking about the quantity "a" in the relationship a = bv ≈ 87 GeV (2 π/ h) for some vague reason.
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Yes, the mass of the W and Z bosons is a sort of average of a / c^2 = bv / c^2 = 87 GeV/c^2, Just my own observation, in fact.
The mass of the Higgs is SQRT(2) X 87 GeV approx. The h /2 Pi ( h bar ) and 2 Pi / h stuff all cancels out.
In fact v has been known for ages. It is b that came with the actual determination of the Higgs mass. But the smart guess was the Higgs was going to come in not far from the two heavy W and Z bosons, on what is called the electroweak scale,
I think the formula comes out of Quantum Field Theory, which is beyond my pay grade. 🙂
The mass of the Higgs is SQRT(2) X 87 GeV approx. The h /2 Pi ( h bar ) and 2 Pi / h stuff all cancels out.
In fact v has been known for ages. It is b that came with the actual determination of the Higgs mass. But the smart guess was the Higgs was going to come in not far from the two heavy W and Z bosons, on what is called the electroweak scale,
I think the formula comes out of Quantum Field Theory, which is beyond my pay grade. 🙂
The W and Z bosons carry the weak nuclear force and the Higgs boson was first introduced into the Standard Model to explain their mass.
The LHC experiments measured the mass of the Z bosons produced by Higgs decay as 93 GeV, close to the theoretically predicted value of 90 GeV.
Fill your boots with bosons here: https://www.space.com/what-are-bosons
Sunday morning is a time for a good greasy fry-up and, currently, to contemplate the mysteries of the Higgs Field and the vacuum expectation value (VEV) IMO.
I would have thought most people at diyaudio know what a Boson is. Amazingly we have stayed (largely) on-topic and Troll-free for three pages (count them) with the Higgs business.
Though I might point out that there is no need to clutter the thread with multiple consecutive posts (@Galu, I am particularly looking at YOU!...), since there is an edit function valid for half an hour, should further "brainwaves" occur to you..
I have also been contemplating the relationship between the famous old Fermi Constant and the HIggs VEV of 246.22 GeV:
https://en.wikipedia.org/wiki/Fermi's_interaction#Fermi_constant
Not often I chuckle when reading Physics, but as a red-blooded amateur Particle Physicist this made me laugh:
https://physics.stackexchange.com/q...ant-what-is-its-value-and-what-is-the-differe
I think this is one of those problems you have to mull over for a while. But interesting, No? 😎
I would have thought most people at diyaudio know what a Boson is. Amazingly we have stayed (largely) on-topic and Troll-free for three pages (count them) with the Higgs business.
Though I might point out that there is no need to clutter the thread with multiple consecutive posts (@Galu, I am particularly looking at YOU!...), since there is an edit function valid for half an hour, should further "brainwaves" occur to you..
I have also been contemplating the relationship between the famous old Fermi Constant and the HIggs VEV of 246.22 GeV:
https://en.wikipedia.org/wiki/Fermi's_interaction#Fermi_constant
Not often I chuckle when reading Physics, but as a red-blooded amateur Particle Physicist this made me laugh:
https://physics.stackexchange.com/q...ant-what-is-its-value-and-what-is-the-differe
I think this is one of those problems you have to mull over for a while. But interesting, No? 😎
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I see two axes ( post #3,555 ): Re and Im. Is it equivalent to consider complex numbers as one dimension C or two dimensions R x R ?
Feel free to answer me, it doesn’t make sense, it is not clear in my mind, not clear saying.
Feel free to answer me, it doesn’t make sense, it is not clear in my mind, not clear saying.
I'll take no lessons from you on cluttering up the thread! 😛
To you perhaps, but your contribution doesn't help me better understand the Higgs mechanism.
I'm afraid that, not being a mathematician, I don't understand your question.
However, I will reproduce they figure to which you refer so we have it right in front of us.
In quantum theory, the Mexican hat potential is three dimensional, but may be depicted in two dimensions as shown below.
The image below shows a "Mexican hat potential of a complex order parameter Ψ in the symmetry broken phase".
Apparently, Ψ is a complex number that corresponds to the change in symmetry.
That's all I've got so far. Hope it helps!
I still have a fundamental problem with vacuum energy and particles popping in and out of existence with staggering energy densities. The problem is, have we not created a model that describes as best we can what has been observed and then developed the math to underpin that? Is there a simpler explanation for some of this stuff (not all)?
I presume, here, Ψ a complex, is the Shrodinger’s wave function for some particle in a potentiel well shape.