Angel,
If given the time and the wits to evaluate over 120 more entries, I have a month to try. My seemingly whimsical title, "It's good to be the king," is serious about our subject.
Jim
Angel,
If given the time and the wits to evaluate over 120 more entries, I have a month to try. My seemingly whimsical title, "It's good to be the king," is serious about our subject.
Jim
Dear James: I have read your essay and you target the most important question of science: "Where did information come from to form
our universe from nothing? Does its beginning offer any proof?"
I could respond in many ways, but I think this I offer is of great beauty
The name of God in Hebrew: YHWH, whose numerical value for each of its letters is:
10565 Y=10 H=5 W=6 H=5
This number contains in itself all the features of the universe.
I will give several examples
1) Omega_b = barion density of universe. In my essay I demonstrate the calculation of this value
[math]\Omega_{b}=240-\exp(5+\ln^{2}(2))
[/math]
[math][\exp(\sqrt{3-\Omega_{b}})]\cdot\pi\cdot e\cdot\varphi\cdot\alpha^{-1}=10565
[/math]
[math]\alpha^{-1}=inverse\: fine\: structure\: constant=137.035999073
[/math]
[math]\varphi=(1+\sqrt{5})/2=golden\: number
[/math]
[math]e=that\: is\: the\: base\: of\: the\: natural\: logarithm
[/math]
Zero = infinity
1 and 0, 10 was divided into two (yes, no, one, zero, positive negative: duality) = 5
5 +1 = 6
5 +0 = 5
10565
10+5+6+5=26 ; the famous number of dimensions of string theory
2)
[math]\ln\ln(10565)/10=\sin^{2}\theta_{w}
[/math]
[math]\theta_{w}
[/math]
is the mixing angle electro-weak
3)
[math]2\cdot\ln(m_{Pk}/m_{e})=\sqrt{10565}+(\ln(10565)-9)+\exp\exp-(17/10)
[/math]
mpk= Planck mass ; me = electron mass
17= 1+0+5+6+5
regards
Dear Angel,
Excellent ideas presented here. Very much along the lines of a theory I'm working on elsewhere. Like the use of Descartes' theorem. Also you concluded similarly to me that Bit is as fundamental as It - two sides of the same coin. Hope you get chance to take a look at my Fibonacci sequence based essay too.
Best wishes & congratulations on a brilliant piece,
Antony
I already read your good essay, and rate it with 7
The fibonacci numbers are more fundamentals that physicists think
A very interesting example: the fine structure constan as a direct function of
The golden mumber, phi; that is:
[{[{(2 x phi^3 - 7)^4}/7] 21}/6 - 3 (163/6)]^-1 137= 137.03599907366175228= inverse fine structure constant at zero momentum
163= 1^2 1^2
1^2 2^2 =5
1^2 2^2 3^2 = 14
1^2 2^2 3^2 5^2 = 39
1^2 2^2 3^2 5^2 8^2 = 103
1,1,2,3,5,8. All consecutive fibonacci numbers divisors
Of 240 ==> group E8
And 1 ==> U(1) , 2 ==> SU(2) , 3 ==> SU(3)
5 ==> SU(5) GUT
[2 x In(mpk/me)] [ alpha^-1] = 240 = Kssing number 8D
Regards
Hello Angel,
Thanks for reading and rating it - much appreciated. I think too that Fibonacci sequence must be more fundamental than thought, as they pass through zero, which is as fundamental as I can possibly imagine anything to be.
Best wishes & congratulations on your great essay,
Antony
Indeed, it is much more important than what physicists can not even imagine.For example, in the sequence stairstep, which gives the famous number 163, obtained by the algorithm I have given, it can be seen, as I pointed out the results of each stair, and they are:1,5, 14, 39, 103. This sequence has two very important properties:
a) [(1/1) + (1/5) + (1/14) + (1/39) + (1/103)] / Pi + 12 = ln (mh / me)
mh = mass higgs boson = 126.17 Gev ; me = electron mass
b) exp(1)= aprox mpk/m_seven_dimensions ; mpk = Planck mass
exp(5) = mpk/mGUT ; exp(14)= very aprox mpk/sqr(e²/Gn) ; e = electric chargue
exp(39) = very aprox mpk/mVH ( integer part) ; mVH = value equivalent mass Higgs vacuum
exp(103) = very aprox ( integer part ) = mpk/me
c) [(1/1) + (1/5) + (1/14) + (1/39) + (1/103)]-1 = Omega(b) + Omega(dm)
Omega(b) = baryon density; Omega(dm) = density dark matter
d) (1/5²)+(1/14²)+(1/39²)+(1/103²) = 4.585376261 x 10^-2 (very aprox = Baryon density )
Best wishes & congratulations on your great essay
Angel
Thanks Angel,
Likewise! I wish I could handle mathematics as fluently as you. The links you've shown are strong, certainly don't seem coincidence. I used the Koide formula along with the simplex geometries to relate the mass of the proton, neutron and electron from an expected 1/2 value to a result of 0.49999994.
I like this sort of way numbers relate to the real world!
Nice work!
Antony
I wrote in your post essay the links of my work for koide formulas
I am very interesting in read your papers about koide formulas , neutron, proton, electron
I am very excited to read
Thanks very much, dear Antony
Regards
Hi Angel,
Impressive formulae !
I have noticed that you talk about surfaces in your essay (holographic principle), you might be interested in looking at my essay, I also think that the universe is kind of holographic.
You seem to like formulae to describe the universe, so do I. You might want to check out my 3d Universe Theory. I think that if you play with the 8Pi-1 you will find a lot more. Let me know what you think.
Cheers,
Patrick
Your abstract looks very interesting..
I was drawn here by a comment you left on Yuri's page, but it looks like the content in your essay is exceedingly cool. I'll have to read and comment. Feel free to do the same for my essay. I wish you the best of luck.
Have Fun!
Jonathan
p.s. - You should check out the FQXi Forum page for
Dear Patrick your essay have points of great interest
Especially the factor expansion of the universe in the short time of epoch of inflation
This number, efectivaly can be treated to amount of information, similary of treatament of it in your essay
In my essay I have demonstrated that this pure number is exactly:
L(alpha) x EXP(EXP([Pi^2]/2))
Where L(alpha) = adimentional radius of inverse fine structure constant at zero momentum
L(alpha) = 3.30226866215...= sqr( 137.035999073/(4Pi))
Important to observe that: (Pi^)/2 = Factor volume sphere 4d
On the other hand: this number seems have connections with the order of Monster group
Order Group M = 2^46 x 3^20 x 5^9 x 7^6 x 11^2 x 13^3 x 17 x 19 x 23 x 29 x 31 x 41 x 47 x 59 x 71 = 8.08017425 x 10^53
OGM/10^7 ~ your number UBs
OBSERVE THIS :
[{In(10^7)-10}/10 + (163/6)]^-1 + 137 ~= 137.035999073
Your formula for the ratio proton mass to electron mass impressive
You can improve it with : -1/(8Pi +1) + 1/(4(Pi^2))^2
With this improviment you have mp/me = 1836.152675664
Codata value: 1836.15267245
The Universe macroscopically is 4d , but near the planck scale are seven dimensions more, warped in circles. This is my humble opinion deduced from my researchs
Thanks you very much
Regards
I read his essay and rate it
His essay is a mental prospecting physical sense of the information. I agree with the main points of their development, but for me it is also necessary to translate these ideas into equations correctly describe physical phenomena directly or indirectly observable.
Must always, in any discipline, a deductive-inductive logical analysis, complemented by a physico-mathematical scheme. I wish you the best of luck in the contest. thank you very much for your comment
Hello Angel,
I have down loaded your essay and soon post my comments on it. Meanwhile, please, go through my essay and post your comments.
Regards and good luck in the contest,
Sreenath BN.
http://fqxi.org/community/forum/topic/1827
Dear Angel,
Thanks for your gracious comments on my essay and I am going post my comments on your essay in your thread shortly.
Best wishes,
Sreenath
Dear Angel,
It seems that only a few authors wrote about your ambitious essay. It attracts me a lot and I will spend time trying to understand. I wrote a few papers on E8 and quantum information and among them
1. arXiv:0906.1063 [pdf, ps, other]
Three-qubit entangled embeddings of CPT and Dirac groups within E8 Weyl group
2. arXiv:0904.3691 [pdf, ps, other]
Clifford group dipoles and the enactment of Weyl/Coxeter group W(E8) by entangling gates
3. arXiv:1002.4287 [pdf, ps, other]
Entangling gates in even Euclidean lattices such as the Leech lattice
But I would like you to read my present essay and rate it if you wish.
http://www.fqxi.org/community/forum/topic/1789
Best wishes,
Michel
I left a comment on his excellent essay, which I want to read further.
Also will study his works, you mentioned, in arxiv.
You analyze mainly the relationship, which undoubtedly exists between groups of symmetry, the geometric topology and the quantification of information.
This is the right path to that sooner than later the physicists will have to take if they want to reach a unified theory, even partially.
that should not be forgotten, that it is possible to reach a limit in the acquisition of knowledge, or quantity of information algorithmic computable form, using equations solvable. This is demonstrated, for example, with no computable number, omega, Chaitin.
The space-time-mass has to be quantified, not crossable with lower limits. Only in this way avoids the singularity of black holes, which is not limited due to quantum theoretically, the general theory of relativity.
This same problem is in the ad hoc method: the renormalization of the infinite.
With the quantification, with limits proportional to the Planck mass, Planck length and Planck time, it would avoid the infinite.
As I show in my paper this year, a mathematical theory very basic string already exists in the foundations of quantum theory, I am referring to a string vibrating in a box, which as you know well it responds to the equation:
[math]P=\sin^{2}(2\pi/l)(2/l)
[/math]
The modifications that should be made to this equation are that the factor 2 represents the maximum fluctuation, and the length should be replaced by a dimensionless length, as the ratio between the length d dimensional, relative to the Planck length.
In the case of the Higgs boson equation reduces to:
[math]P(2,l_{7})=\sin^{2}(2\pi/l_{7})(2/l_{7})\cdot246.221202\: Gev=126.177\: Gev=m_{h}
[/math]
Where L7 is the dimensionless ratio lenght Placnk in seven dimensions to Planck lenght, that is:
[math]l_{7}=([2\cdot(2\pi)^{7}]/[(16\pi^{3})/15])^{1/9}
[/math]
In short: the simplest compactification in circles; Kaluza-Klein type
At present, I am studying a demonstration of the Riemann hypothesis. Before publishing it, I want to make, reviewing it intensely.
Humbly, is a demonstration of a beautiful simplicity, which is why I doubt that is correct, despite the fact that, after repeating all steps not find any errors.
I'm working on a reformulation of demonstration, basing on the following property that only has the square root, and why the Riemann zeta function can be expressed by the following differential equation:
[math]\zeta(s)=(-1)^{x-1}\cdot[\cos\{-t\cdot\int2df(x)/f(x)\}\cdot2df(x)+i\cdot\sin\{-t\cdot\int2df(x)/f(x)\}\cdot2df(x)]
[/math]
[math]f(x)=\sqrt{x}\:\: s=1/2\;+it
[/math]
Regards
Hello Angel
Richard Feynman in his Nobel Acceptance Speech
(http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html)
said: "It always seems odd to me that the fundamental laws of physics, when discovered, can appear in so many different forms that are not apparently identical at first, but with a little mathematical fiddling you can show the relationship. And example of this is the Schrodinger equation and the Heisenberg formulation of quantum mechanics. I don't know why that is - it remains a mystery, but it was something I learned from experience. There is always another way to say the same thing that doesn't look at all like the way you said it before. I don't know what the reason for this is. I think it is somehow a representation of the simplicity of nature."
I too believe in the simplicity of nature, and I am glad that Richard Feynman, a Nobel-winning famous physicist, also believe in the same thing I do, but I had come to my belief long before I knew about that particular statement.
The belief that "Nature is simple" is however being expressed differently in my essay "Analogical Engine" linked to http://fqxi.org/community/forum/topic/1865 .
Specifically though, I said "Planck constant is the Mother of All Dualities" and I put it schematically as: wave-particle ~ quantum-classical ~ gene-protein ~ analogy- reasoning ~ linear-nonlinear ~ connected-notconnected ~ computable-notcomputable ~ mind-body ~ Bit-It ~ variation-selection ~ freedom-determinism ... and so on.
Taken two at a time, it can be read as "what quantum is to classical" is similar to (~) "what wave is to particle." You can choose any two from among the multitudes that can be found in our discourses.
I could have put Schrodinger wave ontology-Heisenberg particle ontology duality in the list had it comes to my mind!
Since "Nature is Analogical", we are free to probe nature in so many different ways. And each of us surely must have touched some corners of it.
Good luck and good cheers!
Than Tin
Dear Angel,
Thank you for your interest. I agree that the tetrahedron may be a basic piece of
an unification model. I suspect that Klein's theory of invariants is related to your calculations. For the tetrahedron, the Belyi function is the cube of the ratio between the two invariants as given in Klein's book about the icosahedron (Dover, 1956, [5], p. 104). But we can discuss this by email when the competition ends. The tetrahedron may be seen as the 3-simplex, it can be driven in 6 distinct ways by a dessin d'enfant arising from the cartographic group (as I answer above to Stephen Anastasi), I wonder if one can attach some physical significance to these facts.
In what regards your essay, I find it extremely attractive because you are producing numbers that seem to correspond to mass ration in particle physics.
It would have to be organized in a more academic style but I don't worry at this stage. Your essay is also relevant to the topic of observer participancy. You know the sentence requoted in Wikipedia article about Preintuitionism
In fact Kronecker might be the most famous of the Pre-Intuitionists for his singular and often quoted phrase, "God made the natural numbers; all else is the work of man."
I am a fan of number theory and produced several papers on this topic.
I give you an extremely high rate to promote your research. I would like to understand the details of your calculations. My email is
michel.planat@femto-st.fr
Good luck,
Michel
Angel,
This is fantastic. I also have in mind that RH is basic for physics.
Tis paper may be of interest to you.
arXiv:1012.4665 [pdf, ps, other]
Riemann hypothesis and Quantum Mechanics
I will now study your calculations in detail.
Good luck for your research.
Michel
Missing the summation, apologies
[math]{\displaystyle \sum_{x=1}^{\infty}(-1)^{x-1}[\cos(-t\cdot\int2df(x)/f(x))}\cdot df(x)+i\sin(-t\cdot\int2df(x)/f(x))\cdot df(x)]=\zeta(s)
[/math]
Right now I'm with a lot of work
I read paper on the RH conjecture. very good
The connection of the Hamiltonian with temperature states
From what I know of the Riemann conjecture, you may want, we may already know, the following equation that meet the real part imaginary number, 1/2 + it
[math]\zeta(s)=0\;;\: s=1/2\:+it_{n}\;;\:2\pi n\simeq t_{n}\cdot\ln(t_{n}/2\pi e)
[/math]
I'd love to share with you scientific knowledge, ideas, because our views on mathematical physics are very similar.
No doubt that I will contact you via your email.
Leave some time, at the moment I have a bit complicated life. But hopefully by the end of September, I'll be more liberated.
However, if you want you can send as it deems appropriate to this email address: angel1056510@gmail.com
Thank you very much (do not forget to give it a 10 to his essay.'m Having problems voting. Already have contacted administrators. If you do too, perhaps accelerate this problem)
Now he will comment soon, on other aspects of your last post, on the symmetry of the tetrahedron and their fundamental role in the physical, as well as the utmost importance of number theory in physics, since it is the queen of mathematics .
regards