El Naschie Discussion

[deleted]

Ray,

I haven't attacked your qualifications and I know you have a physics PhD, unlike El Naschie.

You say "There is no need to attack people's credentials."

Yes there is. Lest El Naschie and the Brotherhood be taken seriously. El Naschie damages the scientific reputation of Egypt and the institutions he pretends to belong to.

Moreover, you are being disingenuous: As a businessman who hires people you know perfectly well credentials matter.

Really, Ray, you should be ashamed. El Naschie features a fake pic of himself with Nobelists on the front page of his Web site. He blames George W. Bush for not having a Nobel. Cambridge got him kicked off of arXiv for affiliational arrogation. He blames Mossad for El Naschie Watch. He moans about Cambridge being "90% Jews". He repeatedly cites a nonexistent paper he authored with Nobelist Prigogine. He falsely claims Prigogine nominated El Naschie for a Nobel. Four times. He isn't a professor (not a problem) but he says he is one (a problem). He's a legal bully. His minions have threatened to off me Manson style, and have expressed grave concern that "womenfolk" might visit El Naschie Watch. El Naschie does not "play nice on the playground". What depravity must he stoop to before you stop playing patty-cake with him and his sick cult?

[deleted]

Anonymous of Apr. 2, 2010 @ 16:48 GMT isn't Said Elnashai.

[deleted]

Dear Jason,

FQXi is a science blog. I would prefer to keep this blog focussed more clearly on the science aspects please, and not personal or political aspects. El Naschie Watch is dedicated to disclosing all of the dirty details that you can find about El Naschie. You don't need to duplicate that effort here. I check in on the Watch occasionally.

I used my real name (rather than the popular names like Anonymous) on El Naschie Watch so that you would know my credentials, and know that I am at least willing to listen to El Naschie's ideas.

But I still don't think I truly know you. I jokingly called you Jason Starbucks, but I don't even know for sure that your first name is Jason. Perhaps you fear that El Naschie's lawyers will shut you down. That is not my concern.

I consider myself a peace-maker with a thirst for knowledge.

Have Fun!

Ray

[deleted]

On the Ninth International Symposium Frontiers of Fundamental and Computational Physics 2008. The great man El naschie had a lecture titled "Average exceptional Lie group hierarchy and high energy physics", it was a scandalous lecture, the great man was like a clown.

On the top of that the great man claimed to be the director of

King Abdullah Al Saud Institute for Nano & Advanced Technologies as evident from the affiliation mentoined below.

M.S. EL NASCHIE

King Abdullah Al Saud Institute for Nano & Advanced Technologies*,

Riyadh, Saudi Arabia.

*) Director

Fortunately the lecture was kept, and one can check his lecture on

http://agenda.fisica.uniud.it/difa/getFile.py/access?

contribId=52&sessionId=32&resId=0&materialId=slides&confId=9

But if you check the web page of King Abdullah Al Saud Institute for Nano & Advanced Technologies you don't find his name listed in the Committee Members of Establishing King Abdullah Institute for NANO Technology and there is no mention for him at all. That seems odd especially he is the director as he claimed.

One can check the web page for "Committees consultative scientists"

http://www.nano-ksu.com/publish/article_46.shtml

web page for "Supervisory Committee to King Abdullah Institute for Nanotechnology"

http://www.nano-ksu.com/publish/article_63.shtml

Can the great man explain for us.

In that Symposium the great man was keen to be photographed besides present Nobel winners. As all we know, El naschie is a famous Nobel nominee.

Why the great man was lying about his affiliation, is it the behavior of a respectable humanbeing or any respectable entity.

[deleted]

Communication No. 21

The Golden Mean in High Energy Physics before, during and after E-Infinity

We will have to leave it to the philosopher and historian of science to determine the complex history of the golden mean in high energy physics. As far as we are concerned, we feel that Mohamed El Naschie must be accredited with integrating the golden mean in high energy physics in a systematic way and on a grand scale. He did not do that intentionally. It just happened. The golden mean more or less manifested in the computation as fundamental for any minimal consistent and accurate quantum field theory formulation outside the rules of classical quantum field theory. Without any attempt to be historically correct we must draw attention to very important papers where the golden mean manifested itself. I must say that the authors which I am about to mention were initially not traditional mainstream. They are not renegades. They are somewhere in between. They are meantime part of the establishment but it was not always like that. The first is an exceptional Russian mathematician who worked initially in turbulence, A. Polyakov. The second is a superb solid state physicist, mathematician and hobby engineer, Subir Sachdev. If my memory serves me right, although this is slightly on the gossip side, I think Sachdev's American wife is the daughter or the grandchild of Dwight Eisenhower, the great President of USA and the hero of D-Day in the Second World War. The paper of Polyakov is entitled: Feigenbaum universality in string theory, published in Journal of Theoretical Physics (JETP), vol. 77, No 6/March 2003, pp. 260-365. Polyakov found the period doubling of Feigenbaum in quantum field theory. Please read Mohamed El Naschie's paper on the connection between the hyperbolic region of period doubling and the Hausdorff dimension of fractal spacetime. A critical value in the hyperbolic region is his famous 4.23606799. When you talk Feigenbaum, you talk golden mean renormalization groups. In fact it was Mitchell Feigenbaum, Otto Rossler, Julio Casati, Boris Cherekov and Itmar Proccaccia who initiated Mohamed El Naschie's interest in nonlinear dynamics, KAM theorem, period doubling and thus the golden mean threshold. Mohamed El Naschie merely extended that to high energy physics. The second paper by Sachdev was published in Physics Letters B 309, 285(1993), Polylogarithm identities in a conformal field theory in three dimensions. You can find it free of charge published in arXiv: hep.th/93605131, 25 May 1993. An extremely instructive and neat summary of the application of the golden mean is a nice paper by the very versatile, Slovenian mathematician L. Marek-Crnjac. The paper is titled: The golden mean in the topology of four-manifolds, in conformal field theory, in the mathematical probability theory and in Cantorian space-time, published in Chaos, Solitons & Fractals 28(2006) 1113-1118. A wonderful paper by Professor Christian Beck from Queen Mary University, London and Muhammad Maher from the same department is: Chaotic quantization and the mass spectrum of fermions, published in Chaos, Solitons & Fractals, 37 (2008) 9-15. This paper was refereed and recommended for publication in Chaos, Solitons & Fractals by Professor, Dr. Dr. Werner Martienssen from the University of Frankfurt. In this paper you can see the influence of nonlinear dynamic and cantor sets in modern physics and determining the mass spectrum of elementary particles in a similar but not identical way to E-Infinity. It was not always golden mean from the beginning. El Naschie used initially deterministic fractals. He started initially by using the classical triadic cantor set with the Hausdorff dimension ln2 divided by ln3. You do not get golden mean for deterministic cantor sets. Paradoxically it is randomness which introduced golden mean harmony. You can see that from a paper published in Vistas in Astronomy. The author is Mohamed El Naschie. The title of the paper is: Quantum Mechanics, Cantorian Space-time and the Heisenberg Uncertainty Principle. This paper dated 1993, vol. 37, pp. 249-252, did not include the golden mean yet. Mohamed El Naschie rediscovered the average Hausdorff dimension of a quantum path. This is equal to 2. It is the individual Hausdorff dimension of a quantum path which is equal to the golden mean. The interplay between 2 and the golden mean produced the approximate value for the Hausdorff dimension of the core of quantum cantorian spacetime which is approximately equal to the exact value. To be specific, it is 2 divided by ln of the inverse golden mean which gives us an approximation to the exact value 4.23606799. There is a nice paper summarizing the application of the golden mean by El Naschie titled: The Golden Mean in Quantum Geometry, Knot Theory and Related Topics, Chaos, Solitons & Fractals, Vol. 10 No. 8 page 1303-1307 (1999). Another paper which seems to have strong influence on groups working in the Parameter Institute in Canada is El Naschie's Quantum Groups and Hamiltonian Sets on a Nuclear Spacetime Cantorian Manifold, published in Chaos, Solitons and Fractals, vol. 10 no 7, pp. 1251-1256 (1999). The golden mean as such and its connection to E8 became fundamental in the work of Mohamed El Naschie after one of his students, Dr. Ahmed Mahrus from Newcastle, Department of Physics, UK, drew the attention of Mohamed El Naschie to the golden mean binary system. Academician and Nobel Prize nominee Alexei Stakhov expanded this system in a recent magnificent work published by World Scientific entitled: The Mathematics of Harmony. Mohamed El Naschie started his adventure with period doubling and renormalization relatively early. He was at the time Director of Projects and one of the main editors of a prestigious Middle Eastern Journal. Later on he published a paper on the subject titled: Order, Chaos and Generalized Bifurcation. The paper is published in the Journal of Engineering Sciences, King Saud University, vol. 14, no.2 (1988), pp 437-444. I did hear some good news for those who do not have easy access to expensive scientific Journals. I am told that a charity organization did put all the scientific papers of Mohamed El Naschie in a free access blog. I do not know where or when this was done, but those who will search will find it. I hope this will facilitate serious study of E-Infinity. Of course those who prefer other activities will not be deterred from following their natural inclinations. We hope however that the majority will follow their scientific inclination. We hope also this little contribution is helpful and we will be shortly returning with more.

[deleted]

Dear E-infinity,

You said "I am told that a charity organization did put all the scientific papers of Mohamed El Naschie in a free access blog."

Are you thinking of one of these sites?

http://www.el-naschie.net

http://mohamed-elnaschie.blogspot.com

http://mohammed-golden.blogspot.com

They only have a few of El Naschie's papers, I think.

[deleted]

Please can E-infinity please explain the relationship between El Naschie's statement on Radio Horytna "I was nominated about 4 times to get the Nobel Prize" and his statement on Elbeet Beetak "The truth is, I have never said that I was nominated for a Nobel prize"?

http://elnaschiewatch.blogspot.com/2010/03/el-naschie-by-winter-sonata-egypt-love.html?showComment=1270798474453#c960552662028423959

Thanks.

[deleted]

Communication No. 22

Why does the golden mean pop up everywhere in mathematical physics?

A true scientist aiming at scientific truth could not be afflicted by a worst malady other than prejudice. Some notable scientists who have done occasionally excellent work elude themselves in confusing prejudice with scientific skepticism. I am far too skeptical to believe anything easily, you will hear them say. Give him anything new and he will answer immediately: I do not need to read it. I waste my time on big names only. I know before I read that this is no good any case. Too many great people have tried before and failed. Who the hell could be this guy from Rumania to teach me a Caltech man about the quantum or anything at this level? When it comes to the golden mean things could be dozen of times worse. Ignorance is invariably covered up pure arrogance and never ever forget the witty jokes, the hallmark of a hole head. In what follows we would like to give well known elementary evidence that it is absolutely natural for the golden mean to be the foundation of quantum mechanics and high energy physics and much much more. Many of these evidences have been discussed at length by Mohamed El Naschie, Marek-Crnjac and their students. For convenience summary, we recommend a paper titled: A short history of fractal-Cantorian space-time by L. Marek-Crnjac, published in Chaos, Solitons & Fractals 41 (2009) 2697-2705.

1. The golden mean is the solution of a simple quadratic equation with appropriate sign. A quadratic equation is the simplest non linear equation we know of. Only a linear equation is simpler. Einstein said if everything would be linear nothing would affect nothing. Therefore, for things to affect things we need at least a quadratic equation to describe physics of a minimal complexity. The simplest vibrational set fulfilling Einstein's requirement is a 2 degree of freedom linear oscillator. The characteristic equation for such set when normalizing all constants is a quadratic equation with a golden mean solution. This is discussed at length in a paper by Mohamed El Naschie titled: On a class of general theories for high energy physics, published in Chaos, Solitons & Fractals. 14 (2002) 649-668. The Slovenian mathematician Marek-Crnjac suggested that fusing infinitely many but hierarchical sets of this type leads to E-Infinity theory. The connection to the basic concepts of string theory is evident. It might be interesting for some to note that structural engineers habitually replace complex structures by systems of springs and masses. In some sense this is a finite element realization of a structure. In the same sense and taking a bird's eye view this is the connection to Regg Calculus. No wonder that Mohamed El Naschie used this method when you remember he is a Structure Engineer and a past student of John Argyres, the inventor of finite elements who used it skillfully in the modern fuselage structure of airplanes at the dawn of the aerospace age.

2. The golden mean is the most irrational number. Its continued fraction expansion involves only unity. Consequently it is the backbone of the KAM theorem. There is no stability in a Hamiltonian system without a rational number. Since the golden mean is the most irrational, it is the threshold of the most stable periodic orbit in a dynamic system. The marriage between KAM and quantum mechanics resulted in Rene Thom's VAK conjecture which has been re-generalized by El Naschie and used in high energy physics.

3. A random cantor set possesses a Hausdorff dimension equal to the golden mean. Of course there are many cantor sets which are random and have a Hausdorff dimension close to or different from the golden mean. However the most simple and generic random cantor set has the golden mean as a Hausdorff dimension. A wild topology always ramifies at infinity into a set of wild point, equivalent to a random cantor set. Generically this is equal to the golden mean. If you regard the final state and forget about the mechanism leading to it, then you have golden cantor sets geometry at ultra high energy corresponding to the wild topology. The basic mathematical work in this direction was done by an American topologist Alexander. The most famous examples are Alexander Horned spheres and Antoine Collier. Mohamed El Naschie merely carried these ideas to high energy physics and was probably inspired by S. Kaufmann in the U.S.A.

4. The fundamental theory of 4-manifold depends crucially on the Fibonacci and thus the golden mean. This has been considered at length in the corresponding mathematical literature. Many references to this work are given in El Naschie's papers and elsewhere, for instance Crnjac's work.

We must stress that the excellent work of T. N. Palmer depends crucially on an understanding of number theory. In fact classical quantum mechanics depends on number theory. You must always remember the trivial fact that without complex numbers, there is no classical quantum mechanics. We think enough for today as my hands are getting heavier and we hope to be back as soon as possible.

[deleted]

Communication No. 23

The inverse problem of quantum field theory in E-Infinity theory and symplectic tiling

We mentioned few very good reasons why the golden mean should pop up at so many different places and so unexpectedly in quantum high energy physics. We reasoned that quadratic equation with golden mean roots is the simplest non trivial algebraic equation that there is. We mentioned the maximal irrationality of the golden mean and the role it plays in KAM theorem and the stability of dynamic systems. We alluded to wild topology and its connection to the simplest form of random cantor set which by a well known theorem due to American mathematician Mauldin and his student William will have a golden mean as a Hausdorff dimension. There are far more reasons than what we mentioned. The reasons are sometimes very subtle and none is so subtle and so important than the relation to Penrose Tiling. I remember vividly attending a lecture by Professor El Naschie in the Einstein Institute for Gravitation in the Max Planck Institute near Berlin, Germany. A very imminent and famous German astrophysicist was present when El Naschie was talking about the Penrose Tiling and E-Infinity theory. The imminent German scientist became very agitated and said: "This is all a simple tiling, how could you scale things denying the existence of a natural scale and how could use that for high energy physics"? El Naschie was equally agitated but remained calm. Of course it was El Naschie's mistake. He thought everyone has seen the wonderful example for non commutative geometry presented in the book of Alain Conne. El Naschie explained to the imminent astrophysicist that of course he should have said Penrose fractal tiling. El Naschie meant that every tile in Penrose Tiling could be tiled again using Penrose tiling and so on ad infinitum. The great German astrophysicist and he was definitely a great astrophysicist was not familiar with fractals. He belonged to a generation which worked decades before Andre Linde, the Russian astrophysicist, moved to America and introduced fractals to the big bang. Talking to Mohamed El Naschie later on, the irony became even bigger. El Naschie learned much about fractal geometry in astrophysics and quantum mechanics from a remark in a paper published in the 60's by the very same German astrophysicist. The remark concerned the famous paper of Carl Menger which he dedicated to Einstein at his birthday. Many of us and I am not an exception refer to papers without reading them attentively. Let us return to Penrose tiling. Without the golden mean, there is no Penrose tiling but why is it like that? El Naschie gave a naive example which I find very instructive. Being a structural civil engineer, his example comes yet again from engineering. Suppose you are building a wall. You are using bricks. Watch a master mason performing his job. He fits the bricks together. These are the integers in number theory. Now and then he takes a smaller or a larger brick so that things fit a little bit better. These are the rationals. However no matter how clever our master bricklayer is, he will never get a smooth monolithic wall without resorting to mortar. The mortar between the bricks helps to produce a smooth monolithically connected wall. These are the irrationals of number theory. If you take the golden mean 0.6180339 you notice that it is almost equal to half i.e. 0.5 0.1180339. It is a rational plus an irrational tail which is easily expressed again in terms of the golden mean. In this case it is simply 1 k all divided by 10. The k is the famous golden mean to the power of 3 multiplied by 1 minus the golden mean to the power of 3. We met this number frequently when we discussed transfinite corrections. It is this technique of writing things in the most convenient form using the simplest and most efficient binary system that there is which allows E-Infinity to produce exact results with simplicity which is difficult to comprehend when we use the old mentality of algebraic manipulation brute force, patching and approximating at different stages until things become approximately correct but truly ugly and cumbersome to handle.

I am too young to have been together with Heisenberg, Paul Dirac and Neils Bohr at the Tate Gallery in London when they visited it. Mohamed El Naschie told me however the following story which he again heard it from Heisenberg directly. The story is too beautiful not to be true even if it is true and just ingeniously invented by El Naschie to impress us. Paul Dirac loved perfection. When he presented a draft paper to Neils Bohr and the latter made his usual correction, Dirac becomes extremely sad. One day the three mean were in London. Paul suggested taking the opportunity to visit the Tate Gallery. I knew the old location of this gallery because Mohamed El Naschie took me there when I visited him in London. They were standing all in front of a large picture either by Turner or Claude Monet. I cannot remember. Dirac stood silent for a while then he moved forward and pointed to a spot at the bottom of the painting and said in his calm voice:"This point is wrong". I do not think I can say anymore. That must be one of the best signs of Paul Dirac's conviction that it must be beautiful or it is not true or correct. If you look to the classical form of the renormalized equation of unification of fundamental action in high energy physics, you realize that it is extremely involved, clumsy and cannot be described as being beautiful. However it is approximately true. To use the same language of Dirac, there is a point there which is wrong. Not so with the same equation which E-Infinity produces. The equation of E-Infinity is perfection per excellence in this case. We will discuss it in detail. But I wanted to introduce the idea first. I know from El Naschie that he traveled to a country in Northern Europe known for its beautiful tulips, in order to introduce his equation to a man whose opinion he values above every other mortal. To make a long story short, the great man told Mohamed El Naschie:"Yes, it is amazingly simple but there are too many things before that. Your equation comes from where? It just comes out of the blue". I cannot reproduce the sense of disappointment which Mohamed El Naschie felt at this point. I could almost hear what is going in his mind. Of course there are many things before that. I thought you know that I know that. In fact how a great man like you could think that I could not know that. The problem is Mohamed El Naschie knew what the great man knows but the great man did not know what Mohamed El Naschie knows mainly fractals, chaos and complexity theory. You could write any simple equation if you can. If you are clever you can always guess the answer and idealize it. Next you ask yourself: What do I need to have? Normally a Lagrangian in order to get this result. This is the well known inverse problem. El Naschie worked on many problems in the calculus of variations. He knew from his classical engineering work the power of the inverse problem as a method. The inverse problem is always more difficult. For instance, relative to multiplication division is more difficult. Similarly we have many opposed mathematical procedures where the inverse is always more difficult. It is not impossible to find whatever you want when so many clever people have worked so hard to give you a theory which is almost but not completely perfect. Classical quantum field theory is such theory. It is almost but not completely perfect. Those who have studied it carefully will be led to a simple solution of the inverse problem as will be explained later. To be able to complete the job, you have to free yourself of all prejudice and have no hiccups about fractals, transfiniteness and golden means. The result of this effort will be evident from the following equation of E-Infinity theory. In general the equation reads as following: the inverse unification coupling is equal to the following sum: alpha bar 3 plus alpha bar 4 plus the natural logarithm of the ratio of the unification mass or energy divided by a reference mass or energy. This logarithm is multiplied by the factor which has to do with super symmetry. In the classical form this equation is not much different but it is clumsy and filled with numerical factors which a beginner could not make heads or tails of. It takes a long time to familiarize oneself with it. The E-Infinity theory version is by contrast perfect. Let me mention first that the discovery of the Logarithmic scaling decay was a major step in high energy physics. I forgot who discovered it first and I forgot a lot of things about its history which I read once upon a time. I do not remember where I read it but I did. We all would be very grateful for readers of these comments and I mean readers who are only interested in science could draw our attention to this logarithmic law and give us its background and history. That would be very nice indeed and would save us a lot of work to dig in old papers and textbooks. E-Infinity took this logarithmic law and changed it de facto to a golden mean scaling of E-Infinity hierarchy.

In the next communication we will show you these things step by step. We hope also that you will notice that the inverse problem becomes tractable and lead to a simple solution of quarks confinement using E-Infinity modification of the original classical solution. Hopefully without wanting in any sense to sound pompous and give our enemies fuel to burn more wood, let me say that if we in E-Infinity could see so far then it was because we stood on the shoulders of giants. These giants are: Gerard 'tHooft, David Gross, David Politzer and Frank Wilczek, to mention only a few of the key players in this field.

[deleted]

Dear Friends,

As a Particle Physicist who also studied some Solid State Physics, I like 2-D tiling - it reminds me of 3-D lattices and multi-dimensional applications such as the E8 Gosset lattice, and the Simplices of Causal Dynamical Triangulation. Whereas some people (Garrett Lisi's older writings sound like this) envision CDT and/or E8 as occuring in the 4-D of Spacetime, I envision these effects in an unseen Hyperspace. The simplest 4-D simplex is a 5-simplex. Its Petrie polygon is a pentagon, which admits 72-72-36 degree triangles, which admit the Golden Ratio. I'm playing with some crazy Golden Ratio ideas - I don't think my friend Lawrence Crowell agrees with me...

Have Fun!

Ray

[deleted]

Dear e-infinity, dear Ray,

we put the pieces together slowly and get the big picture.

Everybody should know about your theories, while we figure more and more,

that big parts of your theories have only been understood in the Arabic world until know, which is why we gave the effort of translating the hints of the master himself, the creator of the whole branch of this science in this interview:

To fully understand what's at the core of e-infinity, the western world has to watch closely and try to listen to what Mohamed S. El Naschie says. It is all there, but we can not spare you the thinking that's what you have to do yourself.

The subtitles provided are English, German and we prepare of course French, since some of the most important scientists working at this "paradigm shift" are French.

Now here is the video: http://www.youtube.com/watch?v=R7WSb1touN0

Please don't forget to leave your comment and send it to other scientists who may think they understand the connections, but still may need some finer details.

[deleted]

Oh, that should be http://www.youtube.com/watch?v=R7WSb1touN0 of course.

[deleted]

Dear Martin,

I understand that you feel that this interview video reveals flaws in El Naschie's personality, but

*THIS* *IS* *NOT* *PHYSICS*.

FQXi is dedicated to fundamental questions in Physics. El Naschie Watch is dedicated to 'exposing' the other details of El Naschie's life.

[deleted]

Dr. Cosmic Ray,

There isn't any physics in your complaint to Martin, in the 23 E-Infinity screeds, or anywhere else in the freak show called FQXi-395.

[deleted]

Dear Jason,

True, there is no physics in these last few comments. However, I have learned a little bit from all of these E-Infinity postings.

I consider myself a maverick, and will not get sucked into anyone's 'cult of personality'. I think there is more to El Naschie's ideas than you see, but his ideas are IMHO slightly defective. Not to worry. I think I can fix these ideas. I have a Doctorate in High Energy Physics that El Naschie doesn't have, but I broke academic connections seven years ago. Most likely, few will take me seriously. But if the truth slaps them in the face, then they might recognize it...

Have Fun!

Ray

[deleted]

Communication No. 25 (Part 1)

The Fundamental Equation of Unification of E-Infinity Theory as a harmonization of the corresponding renormalization group equation of classical high energy physics.

After considering many fundamental problems in non linear dynamics and its

possible connection to quantum physics, a paper entitled: Complex Dynamic in a 4D Peano-Hilbert Space appeared in Il Nuovo Cimento in 1992. This was a famous journal where Einstein published some of his work but after a short period of stagnation the Journal was re-launched and renamed: The European Journal of Physics. The author of the paper is Mohamed El Naschie and he wrote it during his Cambridge time. It can be found in Vol. 107 B, N. 5 - Maggio 1992 pp.583-594. In this paper Mohamed El Naschie made an explicit connection though in general terms between quantum mechanics and fractals. Sub section 8, page 593 is titled: Quantum mechanics, Dirac's vacuum and foam space-time. He was not accurate at that time by thinking that Wheeler's foam space time is a proper fractal. Nevertheless the point was made. In fact he mentioned explicitly that lifting the Menger foam to 4 dimensions leads to something very similar to our space time. He was clearly not yet aware of the fundamental role played by randomness and was still working with a deterministic cantor set. In a paper published at about the same time in the Journal of Franklin Institute, Mohamed El Naschie expanded the idea, discussed in more detail the Menger sponge and expressed his hope that fractal cantorian spacetime can easily resolve all the paradoxes associated with quantum mechanics. Mohamed El Naschie continued his effort until he determined the exact expectation value of the topological and Hausdorff dimension of quantum space time. He perfected the theory mathematically after discovering the relevance of Jones' Invariant and quantum groups to his work. About 7 years after his the mentioned Nuovo Cimento paper, the mathematical basis and the connection to hyperbolic geometry and KAM theorem became crystal clear. Just as two examples for his work in this period, I may quote the following two papers: 1. Jones' Invariant, Cantorian Geometry and Quantum Space-time. 2. Quantum Groups and Hamiltonian Sets on a Nuclear Spacetime Cantorian Manifold. Both papers are published in the 1999 volume of Chaos, Solitons & Fractals. In other words latest by 1999 the following fundamental facts were proven by Mohamed El Naschie and elaborated upon extensively by J. Huan-He, Marek-Crnjac and Erwin Goldfain. Firs, the building blocks of quantum spacetime are random cantor sets with a golden mean Hausdorff dimension. Second, the expectation value of the topological dimension of the space time core is exactly 4. On the other hand, the corresponding exact Hausdorff dimension is exactly 4 plus the golden mean to the power of 3. That is to say, it is 4.23606799.... In 2008 the paper by Jan Ambjorn, Jerry Jurkiewicz and Renate Loll appeared in Scientific American. The paper uses computer simulation extensively. Well you could say it is not exactly computer simulation but computer computation of a Regg calculus approximation of a quantum gravity model. You could also view it as an improvement of Regg calculus using Ambjorn's triangulation. Professor Jan Ambjorn from the Neils Bohr Institute in Copenhagen is a world authority on triangulation technique of this kind. Leaving details aside and to make a long story short, the main thrust and results of the paper are the following: Quantum space time is best modeled using cantor sets as building blocks. Second, assuming Prigogine's arrow of time on the quantum level, things work out perfectly. Third and most importantly, a space time dimension of 4.02 was worked out from first principles for the first time. To see how much emphasis the authors put on this fact, let us quote verbatim what they wrote on page 29 of their July 2008 Scientific American Paper. They wrote "Imagine our elation when the number of dimensions came out as 4 (more precisely as 4.02 plus minus 0.1.)It was the first time anyone had ever derived the observed number of dimensions from first principles. " We in E-Infinity theory group can imagine their elation but we ask you at the same time to imagine our alienation when no reference whatsoever was made in this paper or any of similar papers published at the same time in Physics Review Letter and the Journal of the Institute of Physics to our work. The first derivation of the dimensionality of quantum space time from first principle was made as you can check yourselves at least 9 years earlier. In fact the value found by Ambjorn et al namely 4.02 was found to be a spectral dimension and obtainable using other methods. One of these methods is the Bose Einstein statistics of El Naschie was found approximately 16 years earlier. When you see the structure of the paper in Scientific American you see that the logic expressed in the fractal figures on page 28 and 29 including the Menger Sponge and the Serpinski Gasket follow the same logic of El Naschie's paper in Il Nuovo Cimento and the Journal of the Franklin Institute. Rediscovering things again and again was not uncommon in the past. We mean no disrespect to anybody when we point out these facts. What is important is how we react or others reacted to these facts. Something positive came out of this any case. Cantor sets are in quantum mechanics to stay. Random cantor sets with golden mean Hausdorff dimension are meantime an experimental fact. No amount of propaganda could possibly change these facts. Should we have unintentionally compromised anyone then we as a group apologize collectively as long as the issue of priority is restored. For science priority is unimportant. For scientists it is important. The Yang-'tHooft know that better than anyone else. He wrote a great deal about something similar which happened to him in connection with the strong interaction. This is the subject which we will discuss shortly. Before doing that however let us recall something extremely important in various respects which involves Nobel Laureate Gerard 'tHooft. In an excellent book on quantum gravity, edited by Daniel Oriti published in Cambridge this year but dated 2009, Gerard 'tHooft makes the following answers to questions on page 155. The question was by L. Crane about non integer Hausdorff dimension in quantum gravity. 'tHooft answered as follows: "We thought of such possibility. As far as the real world is concerned.............................................Weltman once thought there might be real physics in non integer dimensions but he never got anywhere with that............................................ I do know what negative dimensions mean................................it is anti-commuting coordinate." Those in the know must be exhilarated to see how far ahead of anybody E-Infinity group was. With all the due respect and it is a genuine respect we have for Gerard 'tHooft, his statement could not remain unchallenged. Mohamed El Naschie derives the exact value of the Hausdorff dimension of quantum spacetime namely 4.23606799 from 'tHooft's dimensional regularization and he gets real physics out of it. We use the word real physics with large doses of salt. Talking about real physics in a simple way in the realm of quantum gravity can be the most misleading thing which one can do. We do not intend to dwell on the illusive nature of reality. However those who are philosophically inclined to use words like real physics should know about dozens of incidents where inclination to reality made reality disappear. The paper in question was entitled: On 'tHooft dimensional regularization in E-Infinity space, Chaos, Solitons & Fractals 12 (2001) pp 851-858. This paper was preceded by another paper which was entitled: " 'Thooft dimensional regularization implies Cantorian Space time." The paper was presented at a conference which the great man 'tHooft himself attended. We sincerely hope that this closes the subject which Oh! So many lesser mortals try to keep artificially alive again and again on certain blogs. When you multiply 4.23606799 by ten you get 42.3606.........and this is the non super symmetric inverse grand unification coupling. Let us discuss how this value as well as the super symmetric value namely 26.18..........could be obtained from the fundamental equation of unification. This is what we will do in part 2 of this communication.

[deleted]

Communication No 25 Part 2

In Part 1 of this Communication we discussed the fact that the basic Hausdorff dimension of E-Infinity follows from 'tHooft's dimensional regularization and we hinted at several other things, for instance negative dimension as well as the connection between E-Infinity and certain types of Regg triangulations. We will return to negative dimension, fractal and the so-called physics as distinct from mathematics. Here however we will concentrate on the unification equation.

In E-Infinity the ideal value of the electro weak, electro magnetic, and strong coupling are given by inverse forms and they are remarkably integer values. We use them to reconstruct the inverse electro magnetic constant. We have done this several times before in these communications. Let me remind you. We have alpha bar 1 equal exactly 60. Alpha bar 2 is half this value namely 30. Alpha bar 3, we divide in 2 alphas. It is equal to 8 1 = 9. All these values are remarkably close to the experimentally found value. Please note these values belong to an idealized world. It is the world of Plato. It is the world of ideals. It is the world of the supreme entity which organizes this world. It is the world of the theoretical and mathematical physicists who are constructing general theories emulating the work of the Supreme Being and hoping at the end to find some indication that these theories are right. The indication comes out from the messy real world. It comes out from the messy laboratories. It comes out from billion of datum measured with different accuracies subject to human scatter, fallibility and noise. In addition we have alpha bar 4 which is equal unity. This value denotes the coupling between the Planck masses to the Planck ether, something which we most probably will not discover directly. The square of the Clibsch factor is also given in its ideal transfinite form namely the inverse of the golden mean which is pretty close to the classical value namely 5 divided by 3. Try it out. 5 divided by 3 is equal to 1.666.........The inverse golden mean is on the other hand 1.618033......Now we can write our first renormalization equation result for which we obtain the exact theoretical E-Infinity inverse electro magnetic fine structure coupling constant. The equation reads: alpha zero bar equal 60 multiplied by 1.618033.....plus 30 plus 9 plus 1. This adds together to exactly 137.082039325........ Next we would like to derive the non-super symmetric unification inverse coupling. We follow almost the same procedure. This so called coupling constant which is of course not a constant but a function of the resolution which means a function of energy is equal to alpha bar 3 plus alpha 4. That means equal to 9 plus 1 = 10. Then we have the logarithmic term. The exact theory does not have a logarithmic term. The exact theory replaces logarithmic term with golden mean scaling. However let us work first with an approximation using the logarithmic term because it is educational and helps the beginner to see the light. Grand unification takes place roughly at the 'tHooft-Polyakov monopole. This is a mass of about 10 to the power of 16 GeV, when expressed in energy unit. Of course we cannot take a natural logarithm of a figure with dimension. We have to resort to a trick to make it dimensionless. The trick is not arbitrary. We more or less take a reference energy which is the energy at which we take measurement. In this case we take the electro weak. More precisely let us take, as in the classical theory which you can find in any textbook, the energy scale of Z0. This is 91 GeV. When you take the natural logarithm of the ratio of both energies and we implore you to do so with your computers or pocket calculators, you will find it 32.3305...... We can assure you that the exact value is 32.3606...... and that this value is nothing but a scaling of the exact inverse electro magnetic fine structure constant of E-Infinity. In other words the logarithmic term is in reality nothing more and nothing less than 137.082039325........ multiplied by the golden mean to the power of 3. Adding our earlier 10 to this value you will find that the inverse unification constant becomes 42.3606...... This is exactly as we anticipated ten copies of the Hausdorff dimension of E-Infinity spacetime. What we have done here needs more elaboration. We will do that later on in detail. For now it is sufficient to know that 42.3606.... is the non-super symmetric inverse unification coupling constant. To obtain the super symmetric value, we contemplate in the following manner. The minimal super symmetry requires that every particle should have a super symmetric partner, a so-called sparticle. Since we are working with inverse value, the doubling enters as an inverse value. In our equation this is expressed via a factor 1 divided by Roh. In this case Roh is 2. Our factor is thus a half. This half has to be multiplied by the natural logarithmic term. This term we just calculated to be 32.606.... Half of that is exactly 16.18033.....Adding to this value our 10, the final result is 26.18033.......This is a delightful result. With minimal effort and incredible accuracy we obtain the two fundamental coupling constants of unification of all fundamental forces. The result agrees with most of the approximate results existing in the literature using various methods. These results vary in the first case between 40 and 45 and in the second case between 24 and 27. We will continue our calculation in the next Communication but we would like to close the discussion here by returning to 'tHooft's elucidation of negative dimensions. On such occasion it is quite in order to make some remarks on the nature of reality.

You remember Gerard 'tHooft said in the discussion reproduced on page 152 of the book of Oriti which we cited earlier on: "A negative dimension could be understood as an anti commuting coordinate". In other words, we think 'tHooft means a Grassmanian value, something which is routinely used in super symmetric theory. We note parenthesically that 'tHooft is normally skeptical about super symmetry and does not believe that it really exists in Nature. Then 'tHooft continues by saying that we could think of an anti commuting differently and understand it as a negative dimension which replaces integration by differentiation. He said explicitly "differentiation is the inverse of integration." A pure mathematician would find this language absurd. However from our E-Infinity viewpoint, we agree with the imaginative language of 'tHooft and refute the pure mathematician allegation of absurdity. Of course we know that 1 divided by integration is not equal differentiation. Such a sentence has no meaning. Nevertheless a theoretical physicist, we know, what 'tHooft is trying to tell us. We find it a great pity that the truly great Nobel Laureate Gerard 'tHooft is not familiar with the mathematical theory of dimension and the work on E-Infinity and particularly El Naschie's theory about negative dimension. You see 'tHooft could reformulate himself by saying that he knows that a negative dimension namely a minus 1 dimension is the dimension of the empty set. The beauty of the whole thing is that we could use a more tangible language and say that something which has the dimension of minus 1 could be modeled by a fractal. As fractals become thinner and thinner, the dimension becomes more and more negative and when the fractal totally disappears, its dimension becomes infinitely negative. Many could say that fractals are just geometric figures and not physics. In such case I just pass. If someone feels that Grassmanian variables are more physical than fractals, then I have to give up and I have nothing anymore to say. The point is the following: To encompass the whole world we have to integrate from zero to infinity. Such world could be classical. However a quantum world has a ground state. A ground state could only be understood when we go behind the Zero. From this point of view to encompass the entire world, we have to integrate from minus Infinity to plus Infinity. That is what E-Infinity solved. In the same time this is one of the major problems with string theory. Nevertheless it was string theory which taught us how to deal with this problem in principle. It was on the other hand, the mathematical theory of Menger-Urhyson which gave us the tools to solve it. Our solution is what we call E-Infinity theory.

[deleted]

Why is there no communication No. 24?

[deleted]

Dear Friends,

It looks FQXi moved all of these posts into one thread. I hope this topic loads faster now - it really has gotten bogged down with all of the posts.

Have Fun!

[deleted]

Ray, My experience so far is that any time saved by faster loading is overcompensated by the increased difficulty in finding the thread. It used to be that the "action" i.e., the latest discussion, was located in the logical place: the bottom of the page. No longer.

« Previous Page Next Page »