Comment from Ed Nash
Time: 5 February, 2010, 7:18 am
There is a highly interesting connection between science and religion which comes out as a by-product of El Naschie’s discovery of golden mean geometry and quantum golden mean theory. For a few hundred years facts and values were separated. Science is the world of facts. Morality and art is the world of values. Since Islamic science and later on Francis Bacon, the scientific method dealt only with facts. Anything dealing with values was called philosophy or religion even when facts are also involved. Needless to say art, music, emotions and beauty are all things related to values. It follows then that the golden mean which was used by the Egyptians, the Greeks and the Renaissance artists is a fundamental tool in the world of values. It is fundamental to art and consequently emotions, morality and religion. It has something to do with good and bad. You cannot give a definite objective reason for something being beautiful. Never the less we know and feel the beauty of a golden mean composition whether it is in the visual or audio arts. Here comes then the surprise. To discover the golden mean as the basis of quantum mechanics is tantamount to discovering that there is a bridge between the world of values and the world of facts. The experimental confirmation of the golden mean in quantum mechanics and the basic correctness of Mohamed El Naschie’s theory of Cantorian spacetime, which is based on the golden mean, is an irrefutable proof of what people sensed long ago but were not able to demonstrate in a mathematical way, namely that art, religion, mathematics and natural science are somehow deeply interconnected. The experimental work at the Helm Holtz Inst. in Germany and the theory of El Naschie and his colleagues is a radical departure from an old paradigm which lasted for over a thousand years. We can no longer claim that there is no connection between love and reason or emotions and facts. We do not yet have a complete proof. We are not even at the beginning. However with El Naschie’s theory experimentally confirmed, we may be at the beginning of the beginning of a new era in science, philosophy, art and religion.
Comment from Adam
Time: 7 February, 2010, 7:19 am
I am pleased that the truth has prevailed. Nature is now accused of trying to undermine Mohamed El Naschie deliberately. This accusation is not frivolous. How else can we explain the blind vicious attack by certain doubtful blogs on the golden mean work of El Naschie and how Quirin Schiermeier the journalist working for Nature utilized these vicious attacks to write a completely unacceptable article in Nature. Then came the heavenly justice when a German professor von Storch complained on his blog that the Nature article of Schiermeier deliberately misquoted him. He was gentle enough to say that the harm was not great. However in principle the harm could have been great. No one has the right to smear the reputation of anyone whether deliberately or recklessly due to irresponsible journalism. Now to the burning scientific question. How does the golden mean enter into quantum mechanics. The answer is as simple as it is ingenious. Mohamed El Naschie reformulates quantum mechanics in spacetime following the same concepts used by Richard Feynman as well the classical work of Einstein. Since the building blocks of spacetime are his elementary random Cantor sets and because these random Cantor sets possess the golden mean as a Hausdorff dimension, the golden mean slips into the fundaments of quantum mechanics. Nothing that quantum mechanics is the most fundamental theory upon which science is based, the golden mean could rightly be described as the basis of science. From this reasoning the ideas which Ed Nash expressed in his previous comment follows effortlessly.
Comment from Annon
Time: 23 February, 2010, 7:24 am
Let’s be more specific so that we are not lost in generality. If I may refer to the following paper of El Naschie which I am sure you have seen (On the exact mass spectrum of quarks. Chaos, Solitons & Fractals, 14, 2002, p. 369) then I could say the following. Four dimensional fusion algebra shows that it leads to the conclusion that we have four fundamental values. Two correspond to unity and the other two correspond to one plus the golden mean which is equal to the inverse golden mean. El Naschie identifies the ratio of the constituent masses of the down and up quarks with unity while the current masses correspond to the inverse golden mean. You can see the detail of the calculation in this 2002 paper dedicated to the 85th birthday of Nobel laureate Ilya Prigogine. When you read a little bit more you realize that the four dimensional fusion algebra comes out from topological quantum field theory when obtained from sub-fractals. El Naschie showed long ago that this is equivalent to his E-infinity theory. I beg to differ with you profoundly and insist that everything follows naturally from E-infinity theory. This is the simplest theory that there is from which E8 as well as Klein’s modular curve and all these holographic boundaries follow. The golden mean is in E8 but El Naschie is talking about another E8 which has the golden mean manifesting itself as a fuzziness. Let me be precise. The normal E8 with its hidden golden mean has a dimension 248. The fuzzy E8 of E-infinity theory obeys an additional simplictic requirement. It is equal to 248 minus half k square where k is equal to the golden mean power 3 multiplied again with the golden mean power 3 minus 1. This is exactly equal to 0.016261. Consequently the dimension of the fuzzy E8 is 247.983739. As I said this small difference follows from the requirement of the area preservation, that is to say, Hamiltonian dynamics with no physical friction. The only friction in the system ensuring stability is the maximal irrationality of the golden mean. E-infinity theory is simplicity par excellence. All what you do is to start designing your geometry from elementary random Cantor sets. By a well known theorem elementary random Cantor sets have a Hausdorff dimension equal to the golden mean. Nothing more is required. Everything else follows in the most elementary fashion. It is fascinating to see how E8, sub factors, topological field theory and noncommumative geometry follow without needing any sophisticated mathematical apparatus. The only comparable simple road to quantum gravity is Penrose tiling when compactified. Everything is there and nothing more is needed. The E12 of Munroe follows in the same way. I am afraid the malicious propaganda against Mohamed El Naschie, whether he survived it or not, worked as brain washing for anyone who wanted to have an open mind and look at this theory on the basis of its mathematical and physical merits. The experimental work in Germany shows that the ratio of two quasi particles termed meson is the golden mean. You just need to look at the equations of El Naschie of the said paper on page 373. You will find that the ratio between the mathematical masses of the up and down quarks is equal to the golden. That means that the ratio between the down and up quarks must be the inverse of the golden mean. Whether the equations are numbered or not, things are so clear that there is no room for misunderstanding. The result found experimentally in Germany is a natural consequence of the fundamental findings of E-infinity theory. In this particular paper I mentioned, four dimensional fusion algebra was used. I guess El Naschie tried in vain to bring his theory nearer to those who may be more familiar with sub factors. It is clear that science does not use only scientific criteria in judging the work of scientists. I am sure that even Munroe himself has a story or two to tell about this from his own life experience.
Comment from roger migently
Time: 24 February, 2010, 12:08 am
All very enjoyable I’m sure, Mr Sokal. In the interest of transparency, we feel it is our duty to put el Naschie in perspective. He is widely considered a hoax, or a crackpot and self-aggrandizer as comments at Slashdot make clear:
It is well known among scientists that the impact factor of a scientific journal is not always a good indicator of the quality of the papers in the journal. An extreme example of this was recently uncovered in mathematics. The scandal is about one El Naschie, editor in chief of the ‘scientific’ journal Chaos, Solitons and Fractals, published by Elsevier. This is one of the highest impact factor journals in mathematics, but the quality of the papers in it is extremely poor. The journal has also published 322 papers with El Naschie as (co-)author, five of them in the latest issue. Like many crackpots, El Nashie has a kind of cult around him, with another journal devoted to praising his greatness. There was also a discussion about the Wikipedia entry for El Naschie, which was supposedly written by one of his followers. When it was deleted by Wikipedia, they even threatened legal actions (which never materialized).
The explanation of el Naschie’s “work” above does put us in mind for some reason of the Sokal Hoax:
In 1996 Social Text published Alan Sokal’s article, “Transgressing the Boundaries: Toward a Transformative Hermeneutics of Quantum Gravity“, apparently not realizing that it was actually a send up of much of the writing — ideologically based, relativistic, jargon-laden — that had become popular in certain academic circles. The article is almost unreadable and certainly nonsensical and though Social Text‘s editors later professed they had not been all that enthusiastic about it they embraced and published it without questioning it.
Comment from Annon
Time: 24 February, 2010, 5:28 am
It is interesting that everyone is now talking about the golden mean and the golden mean E8. Mohamed El Naschie was the first to intimate the relationship between E8 and the golden mean and subsequently introduced a fuzzy E8 based again on the golden mean. He work does not only apply to the Ising model which was tested experimentally in the Helmholtz Center in Berlin but to everything else as well. You could say he found a general theory based on the golden mean for high energy physics. Some call it quantum golden field theory. You can read much more about it in details from a very accessible short review The theory of Cantorian spacetime and high energy particle physics (an informal review) published in Chaos, Solitons & Fractals, 41, 2009, p. 2635-2646.
Comment from Jonathan
Time: 24 February, 2010, 5:37 am
To Roger Migently There may or may not be a cult around Prof. Mohamed El Naschie. As a scientist I would be very reluctant to use this language. If students or colleagues their teacher or mentor, what is so wrong about that. If there is some loyalty towards truthfulness, I do not think this should worry anyone. What is wrong about writing love letters to someone you admire. Is that not better than the blind hatred and envy and the scores of threats including assassination issued on certain blogs against people who have done nothing except science. What about the cult of global defamation for which a certain person Jason who clearly acts on behalf of his paymasters. Have you seen his blog? If you are not easily nauseated, please have a look at Jason’s blog entitled Watching El Naschie. Instead of counting pages, why don’t you read El Naschie’s work and make up your mind for yourself. More importantly why don’t you let other people read it and make up their own minds. I am afraid your real name is Said or you are somebody related to him or John Baez or Renate Loll or Christoph Drosser or maybe even Quirin Schiermeier. These names pop up continuously on the net proclaiming the message of hatred. This is a phenomena worth studying. What is driving this hate? The Nobel Prize, racial discrimination or religious fanaticism? Take your pick. It is beyond me to understand.
Comment from Yansen
Time: 3 July, 2010, 7:38 am
Two very informative papaers explaining in layman terms E-infinity theory and the role played by the golden ratio in fiber wool and high energy physics are the following:
Hierarchy of wool fibers and its interpretation using E-infinity theory
Chaos, Solitons & Fractals,
Chaos,Solitons and Fractals 41 (2009)1839 –1841
Ji-Huan He, Zhong-Fu Ren, Jie Fan, Lan Xu
Again the same article with little modifications
Hierarchy of Wool Fibers and Fractal Dimensions
International Journal of Nonlinear Sciences and Numerical Simulation,9(3),293-296, 2008
The two articles are authored by a great official organ of the E-infinity group who is Prof. Ji-Huan He.
It is a true pleasure reading these articles which puts everything into perspective. In fact the golden ratio was recently discovered to be enjoyed by sheep through their fiber wool and this is deeply rooted on the basis of conformal quantum field theory. This is all apart from its fundamental connection on polylogarithm. This is a beautiful theory with applications in quantum sheep’s wool and wooltex and related subjects. These recent discoveries should silence the critics of E-infinity theory provided this criticism is truly scientific and not just politically motivated to disturb sheep market and wooltex stores.
For the seriously motivated readers these are the abstracts of the two wonderful papers
Why do wool fibers show excellent advantages in warmth-retaining and many other practical properties? The paper concludes that their hierarchical structure is the key. Using E-infinity theory, its Hausdorff dimension is estimated to be about 4.2325, very close to El Naschie’s E-infinity dimension, 4.2360, revealing an optimal structure for wool fibers.
Wool fiber shows excellent advantages in warmth-retaining and many other practical properties possibly due to its hierarchical structure. Its fractal dimension of wool fiber is calculated which is very close to the
Golden Mean, 1.618. The present study might provide a new interpretation for the reason why wool fiber has so many excellent properties.
Some suspicious readers would ask why we have two different Hausdorff dimension for the same fiber wool.
-The answer is simple and it is that the two papers measured the Hausdorff dimension in two different frames. As any body know the dimension depend on the reference frame. This reveals that even dimension is a relative concept.
Comment from Mike
Time: 10 October, 2010, 6:04 am
If you want to unify relativity with quantum mechanics, you have to start by making quantum mechanics understandable. Compared to quantum mechanics, relativity is quite classical. It is a spacetime theory and there is nothing of the totally counter intuitive result of quantum mechanics in relativity. Yes we understand time travel and twelve paradoxes and so on. None the less this is nothing compared to the paradox of the two-slit experiment and particularly wave collapse. Probability wave – what is that? However there is something new on the horizon. A major breakthrough in understanding wave collapse. This is the least we can say about this new profound discovery. The most astonishing thing about it is why it was not discovered long ago. In a nutshell the essence of the argument is as follows: A quantum particle may be modeled as a point. However it is not any point. It is a Cantor point. That means it is a fractal point taking out of Laurent Nottale’s or Garnet Ord’s fractal spacetime. Consequently it is a point but much more than a point at the same time. Every Cantor point or fractal point is by virtue of self-similarity a point representation of the entire universe, i.e. the fractal universe upon sufficient magnification. This zooming process, as explained by Nottale, has no end. This is all well known stuff from the theory of fractals. Now comes the crucial point. Since this point is nominally a point we take it to be mathematically the zero set and physically to be a quantum particle. Now the boundary of the zero set is the empty set. The empty set has no element what so ever and is given in the classical theory a dimension minus one. Never mind all these numbers. The important thing is just to keep in mind that a Cantor or a fractal point represents a quantum particle and that the boundary of this quantum particle is the empty set. It comes as no surprise that El Naschie and his E-infinity group propose that the empty set is just the mathematical name for the probability wave function of quantum mechanics. Such a wave function is devoid of energy, matter and momentum to the extent that it mystified all physicists and led Einstein as well as Bohm to call it a ghost wave. There is even a theory by both men called the guiding wave theory. The guiding wave is nothing but the empty set. So far so good. Here comes the resolution of the wave collapse problem say the group of E-infinity researchers. Any attempt to locate the quantum particle will include interference with its boundary. Since its boundary is the empty set, then any interference will make the empty set non-empty. Consequently the empty set ceases to exist. On the other hand the empty set is our quantum wave function. It follows as a trivial result that when the empty set vanishes because it becomes non-empty, then the wave function also vanishes. The group of E-infinity did not stop at this disarming explanation of the wave collapse. Using the Menger-Urysohn and the Hausdorff dimension of the zero set and the empty set, they are able to make convincing calculations and derive the topology of the spacetime manifold which allowed such physics involving the empty set wave collapse. You can read about that in proceedings of a conference in Shanghai http://www.isnd2010.com and http://www.msel-naschie.com. With a theory like that we are in a much better position to start unifying quantum mechanics with relativity and produce a real theory of quantum gravity. At least there is more hope that way.
Comment from roger migently
Time: 10 October, 2010, 3:18 pm
Not even wrong
We have heard from Yansen before. See Fledgling E-Infinity fan threads.
Ed Nash also has appeared several times in the past. See
El Naschie bridges gap between science, religion and Helm Holtz or Helm Holz yet again.
Thanks to Shrink for this item.