"The 7 Strangest Coincidences in the Laws of Nature" (S. Hossenfelder)

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SUMMARY

The forum discussion centers on the analysis of seven peculiar coincidences in the laws of nature as presented by physicist Sabine Hossenfelder. Key coincidences include the proton/electron mass ratio, the Koide formula, and the relationship between dark matter and dark energy densities. The discussion highlights the historical context and theoretical implications of these coincidences, emphasizing the need for further exploration in particle physics and cosmology. Notably, the Koide formula and the cosmological constant's geometric mean are deemed more plausible than others, reflecting ongoing debates in the scientific community.

PREREQUISITES
  • Understanding of particle physics, specifically the Higgs mechanism and quark-gluon interactions.
  • Familiarity with cosmological concepts such as dark energy and the flatness problem.
  • Knowledge of quantum field theory, particularly the concepts of true and false vacuum states.
  • Awareness of the standard model of particle physics and its implications for mass generation.
NEXT STEPS
  • Research the implications of the Higgs mechanism on particle mass generation.
  • Explore the Koide formula and its generalizations in particle physics.
  • Investigate the concept of vacuum decay in quantum field theory.
  • Study the relationship between dark matter and dark energy, focusing on Paul Steinhardt's theories.
USEFUL FOR

Physicists, cosmologists, and students of theoretical physics interested in the intersections of particle physics and cosmology, particularly those exploring the implications of coincidences in fundamental laws of nature.

  • #31
Vanadium 50 said:
"Why are atoms neutral?"
If they weren't our theories wouldn't work/be ugly."

I don't think this is a very good answer. I don't think atoms care.
Maybe, for whatever reason, charge neutrality is so important, the universe itself is charge neutral.
 
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  • #32
"Why are atoms neutral?" I wonder if we could run a thread on it, or revive some old one. I always had thought that it was just anomaly cancelation, but I do not remember now any discussion including alternatives (say bosons on SU(N) instead of SU(4), more that two types of quarks in the same generation; not chiral forces...)
 
  • #33
Vanadium 50 said:
Three comments:

(1) It has been known that m(p)/m(e) ≠6π5 for 50 years. Does Dr. Hossenfelder know this? She should. Does she care? Apparently not.

(2) BF(π→μν)/BF(π→eν) = 12345. How do you explain that?

(3) I once stayed at a hotel room where the room number was the same as the mass of the Λ baryon. Coincidence? I think not!
The gematria of Genesis 1:1 reveals its value as 2701, who's prime factorization is 37x73, two mirror prime numbers containing the trinity and divine wholeness who's ordinals 12 and 21 are also mirror numbers.

Grtz grtz God
 
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  • #34
arivero said:
"Why are atoms neutral?" I wonder if we could run a thread on it,
Nothing's stopping you. You might think carefully on how best to pose it to get what you're after and not a chaotic scrum.
weirdoguy said:
For me she lost her reliability/credibility
What did it for me was her insistence that people who disagree with her are dishonest and/or secretly agree with her. The fact that her business model is to take money from crackpots to tell them that the establishment is being mean to them is secondary.

Further, while she is the first to crow about being a theoretical physicist, her publication record is...um...less strong than many others. She would (and has) argued that this is proof that the community is interested in the wrong things. I would say that is not the only possibility.
 
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  • #35
Today I saw a license plate labeled KTF-2065. What are odds of that happening?
 
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  • #36
Vanadium 50 said:
Nothing's stopping you. You might think carefully on how best to pose it to get what you're after and not a chaotic scrum.

What did it for me was her insistence that people who disagree with her are dishonest and/or secretly agree with her. The fact that her business model is to take money from crackpots to tell them that the establishment is being mean to them is secondary.

Further, while she is the first to crow about being a theoretical physicist, her publication record is...um...less strong than many others. She would (and has) argued that this is proof that the community is interested in the wrong things. I would say that is not the only possibility.


So basically she’s a grifter and a contrarian.
 
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  • #37
I did not use those words.

Her statements on others' research are a matter of record. As is here publication and citation list. Her web site advertises her services helping..um...independent researchers develop their theories. Draw your own conclusions.
 
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  • #38
Sorry I’ll be more respectful and try to talk about statements she’s made going forward, and dispute them, instead of attacking the person/passing judgement.

In order to keep it civil here at PF.
 
  • #39
I'm hoping @arivero will start a thread on "why are atoms neutral?".
 
  • #40
I am still thinking on it :-D In any case it should be not in "beyond the standard model"
 
  • #41
Upon reading this thread I kinda thought of the the fine structure constant and why it has the value it has (yes I know: weak/strong anthropic principle and what have we. Any other value and we wouldn't be here to wonder about it, but that doesn't really explain that much.

I searched for a newer - or just another discussion - on the subject, but the search more or less lead me back here. You physicists call this (and related incredibly convenient numbers) the "finetuning problem" right?

Change one decimal 44 places after the comma (or the period as the case may be) up/down 1 and fusion (or something equally vital) wouldn't work and we wouldn't be here to wonder about it.

It boggles my mind. I have difficulty understanding why people have to invent metaphysical explanations when they can just look out there. I know it doesn't explain much but neither does some deity or ghost.

At least the cosmos is real, beautiful and full of wonder.
 
  • #42
Well, it's like picking a 42 digits number from a bag which happens to be you wifi-code. What are the odds? Beats me if you don't know what else is in the bag.
 
  • #43
haushofer said:
Well, it's like picking a 42 digits number from a bag which happens to be you wifi-code. What are the odds? Beats me if you don't know what else is in the bag.
And I’m sure I’m supposed to believe that you picked the number 42 out of thin air, am I right? :)
 
  • #44
I remembered a long ago situation when ##\pi^2## was approximated with the gravitational acceleration of the Earth.
$$9.869 = \pi^2 \approx g = 9.807$$
Coincidence ? - of course
 
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  • #45
I think the proper term is synchronicity. Or maybe there's a word with less metaphysic connotations....
 
  • #46
Bosko said:
when was approximated with the gravitational acceleration of the Earth.
Everybody knows that's because there are π×107 seconds in a year.
 
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  • #47
Bosko said:
I remembered a long ago situation when ##\pi^2## was approximated with the gravitational acceleration of the Earth.
$$9.869 = \pi^2 \approx g = 9.807$$
Coincidence ? - of course
https://en.wikipedia.org/wiki/Mathematical_coincidence
While not constant but varying depending on latitude and altitude, the numerical value of the acceleration caused by Earth's gravity on the surface lies between 9.74 and 9.87 m/s2, which is quite close to 10. This means that as a result of Newton's second law, the weight of a kilogram of mass on Earth's surface corresponds roughly to 10 newtons of force exerted on an object.[41]

This is related to the aforementioned coincidence that the square of pi is close to 10. One of the early definitions of the metre was the length of a pendulum whose half swing had a period equal to one second. Since the period of the full swing of a pendulum is approximated by the equation below, algebra shows that if this definition was maintained, gravitational acceleration measured in metres per second per second would be exactly equal to π2.[42]

𝑇≈2𝜋𝐿𝑔
{\displaystyle T\approx 2\pi {\sqrt {\frac {L}{g}}}}

The upper limit of gravity on Earth's surface (9.87 m/s2) is equal to π2 m/s2 to four significant figures. It is approximately 0.6% greater than standard gravity (9.80665 m/s2).
 
  • #48
sbrothy said:
And I’m sure I’m supposed to believe that you picked the number 42 out of thin air, am I right? :)
I actually just went to a birthday party last week for someone who had a 42 digit Wi-Fi code.
 
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  • #49
##\pi \approx \sqrt{3}+\sqrt{2}##
 
  • #50
I want to get in on this racket support of uncredentialed theorists. Send me your numeric coincidences discoveries on the back of a 50 Swiss franc note and I'll tell you "hey, I think you're on to something."
 
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  • #51
Vanadium 50 said:
Everybody knows that's because there are π×107 seconds in a year.
Once a friend of mine, who considered math to be some kind of "intellectual martial art",
began an attack with :
"What is bigger, ##\pi^2## or ##2^{\pi}## ?"
##2^{\pi} \lt g \approx \pi^2##
"Prove it ! - no calculator "
Hahaha ... It's useful though
 
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  • #52
Mister T said:
##\pi \approx \sqrt{3}+\sqrt{2}##
The true value of ##\pi## equals the diagonal of a unit cube plus the diagonal of a unit square. The rest of the world has it wrong. The value of ##\pi## in common usage is wrong because it's based on unit circles instead of unit cubes. There's a lot more to it. It was all explained to me but I didn't understand. I just stated that it was the diagonal of a unit cube plus the diagonal of a unit square.

The response was "Well, yeah". As if it were an obvious conclusion to the gibberish I'd just heard.
 
  • #53
sbrothy said:
And I’m sure I’m supposed to believe that you picked the number 42 out of thin air, am I right? :)
Yes. Pure coincidence :P
 
  • #54
Mister T said:
##\pi \approx \sqrt{3}+\sqrt{2}##
If that was exact, you would bound to say:"WTF?!".
 
  • #55
billtodd said:
If that was exact, you would bound to say:"WTF?!".
How could it be! One is trancendental and the other is not.
 
  • #56
Maybe it is exact and everybody else is using the wrong value!
 
  • #57
martinbn said:
How could it be! One is trancendental and the other is not.
Actually both sides are transcendental numbers.
 
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  • #58
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  • #59
martinbn said:
##\sqrt3+\sqrt2## is not.
Yes, it's algebraic. ##x=\sqrt{2}+\sqrt{3}## ##x^2=5+2\sqrt{6}##, and then again: ##(x^2-5)^2-24=p(x)##, this is a polynomial that has this number its one of its roots, thus it's algebraic. ##\pi## can't be a root to a polynomial with rational coefficients.
 
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  • #60
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