"3.does this paper relate to your work
http://arxiv.org/pdf/math/0406200v2.pdf"
That was a different Necklace Lie Algebra to mine, but similar idea and very interesting.
"3.does this paper relate to your work
http://arxiv.org/pdf/math/0406200v2.pdf"
That was a different Necklace Lie Algebra to mine, but similar idea and very interesting.
"4. In my theory I derive these crazy simple formulas that fall out of my system which sort of ties them to Knots and Alexander polynomial trefoil similar to your idea
1/m_e= (27/2)*(1/alpha -2 -alpha )= 1822.88747
where alpha/FSC =.007297352568, charge ^2=3, 27=3^3, m_e, m_p are electron and proton mass
moreover,
M_p/m_e= (27/2)*(1/(alpha) -1) -1/3 = 1836.152654
looks fantastic, I wonder if there is any link to knots/Alexander polynomial trefoil."
Interesting but the trouble with producing formula for such mass ratios is that the proton is composite and its mass is the combined effect of many unconnected processes. Why would the answer be something you can easily calculate? To be convincing enough to make people take notice you would need accurate formulae for all hadron masses with similar expressions so that it becomes obvious that it cannot be a numerical fluke.
The knot stuff could be interesting but you would need to tell more.
Thanks for the reply.
Yes, I also had many misconceptions when I was young and naïve. I have an MPHIL in EE from Sussex, but since I have had many careers like in engineering, applied scientific research, business and many other activities.
I spent a year dealing with products from Silicon Graphics and Texas Instrument (speech), I was appalled in the end at what I found about the people. Only very (and I mean very) few people knew what was going on, even then I was not happy with the span of their knowledge and techniques. Before that I had a God like image of the people in these ultra-high tech companies. The same happened when I got involved in business.
I have always loved math and physics and read as much as I could which was limited considering my responsibilities. Then few years back when I got to a semi-retirement situation, I decided to give my real love much more attention. And surprisingly it wasn't long before I had a hit with my theory. I did not know Tegmark, Wolfram or Conway or many others. I knew the older ones like Wheeler and Guth. I had again this super god image of physicists. I thought to myself now here are the smart with high integrity people that I belong to. After some experience, I had to come down to earth and face realities, again for the last time.
We are all humans display all the negatives like inaptitude, jealousy, laziness, treachery and so on plus all the circumstances that control us. But we do have the good parts also which some people like to display like compassion and honesty, we do exist in a superposition!
As for my theory I will try not to say much until I have written the paper. The reason that I am late is that I have not put in all the other important results in my website and I have just came up with a method to do interactions in higher than 1D and hoping I can get new or more accurate results.
As for these formulas, you could say they might very well be a fluke if it wasn't that these fall out of simulation and there is more than one as you saw. And here I add another one all from the same system.
electron g-factor=(4m_e/3eh)*(2/(3*m_e*alpha) - 2*e^2 -1)
=2.00231934...
.. e=3(charge square),h actually h_bar=(e/alpha)^.5=20.2758.. m_e=.00054858
Of course, I know the standard theory of proton, but my system seems to only show the STABLE particles only as simple formulas.
But you are right I need to show the whole thing in one coherent system, and the onus is on me. The problem is that my system is based on simulation, although simple, but most people don't find the time to verify. I hope I can make much better presentation soon to ease all these difficulties.
More about your theory later. Reading that long book of yours.
In your book
http://vixra.org/pdf/0911.0042v1.pdf
You say this (notice the Highlighted third line)
"I imagined what might happen if the fixed linkage structure of the lattice was discarded. It could be made dynamic allowing any site to link to any other nearby site at random.
** Why not even allowing linkage to any site no matter how far away?**
For maximum simplicity each site should have no preferences for which other sites it likes to link to. When doing lattice gauge theory calculations, the path integral of quantum mechanics becomes a sum over different configurations of the field variables weighted by a factor related to the action. Dynamic links changing at random fit into the sum quite naturally. It now includes a sum over all the ways of linking up the lattice sites as well as a sum over the values of the field variables. You can even look for interesting physics in models where there are no field variables, just random links between events. This paints a rather strange image of the universe. Events and links between events would be fundamental objects but there would be no built in structure to space-time, no continuity, no dimension. The dynamics would be determined by the form chosen for the action as a function of the way the events were linked up. It might take into account the number of links meeting at each event, the number of triangles which form and other similar quantities which depend on the network of connections. For the right choice of action, lattices with a four-dimensional structure might be favoured and the structure of space-time could be determined dynamically. In some appropriate limit a continuum might emerge. If it could be done it would show how the laws of physics, including the nature of space-time, could be derived from much simpler equations than those normally used to specify them. Such speculations are often naive and unlikely to work out right, which is why Wheeler likened such models to a bucket of dust. Nevertheless you have to try these things out because if you do not make a few mistakes you never learn anything. The attractive thing about the idea for me was that you could simulate such systems on a computer and watch what happened. The results I got were not overly encouraging. There is no simple and natural way to specify the dynamics of the lattice so that it tends to form structures like space-time, unless you build in some preference for which sites want to join up. To go further it would be necessary to think more carefully about how space-time is expected to behave."
In my theory this is exactly what I do. Do that and you are basically done !!
That forth line and coupled with a rotational invariance scheme are the reason for nonlocality( which leads to spin just like Dirac discovered it by integrating relativity). But don't worry you also get the usual reason for causality.
A side note, I get the feeling that nobody is reading, do you?
More later.
That quote is from page 167-168. I forgot to mention that.
Physicists such as those you mention are very smart people, but it is true that there are no Gods. The foundational problems they (and we) are trying to solve are very hard and our limited human capacity is not adequate. It is only by working together and exploring all directions that progress can be made. The issue is that some ideas are ignored when they come from the wrong people.
It is always assumed that scientists do their best work when they are young. The truth is that if they dont do good work when they are young they are thrown out, and if they do do good work they are then burdened with teaching and admin duties.
The ideas are more important than the people and should be judged on their power and consistency alone.
Even before reading that last passage I had a strong gut feeling that your idea seems to somehow translate to mine but I could not pinpoint.
Here is just a quick explanation for my system as compared to yours.
In mine the links are random, their start(naturally random) defines some general particle position area (generally Compton length) and their end goes to other particles and randomly to all positions in-between. I interpret the sum of the line lengths as energy (after normalization). These lines only go from particle to particle and space is where the lines cross (i.e. created from particles). No space is defined outside the area directly of the opposing particles, otherwise the system becomes rotationally not invariant.
So in my system the particle positions can only be defined relative to others. So, I think the major difference is that my starting points are random themselves (and directly part of the link) unlike yours which seem to have been fixed and the links artificially attached to them.
You dont need to rush but the main advantage of being early is that there is more time to discuss before the barage of essays arrive at the last minute.
This was describing random graph models which were a good starting point for my ideas. They are good for understanding how space and time could be emergent. I originally hoped that space and time would emerge fairly naturally from random graph models but the simplest local interactions are not enough. It takes something more contrived or perhaps something less local such as long loops. There is still a lot that can be done with those ideas though.
A graph can be described by an adjacency matrix so it is natural to move on from random graphs to random matrices and extend the permutation symmetry [math]S_n[/math] to [math]U(N)[/math] gauge symmetry for large N. The next step from there is to Necklace Lie Algebras.
agreed. I attribute my results from the intense vibe I got from all those who gave all they got.
My favorite from my own culture is Omar Khayyám
http://en.wikipedia.org/wiki/Omar_Khayy%C3%A1m
Myself when young did eagerly frequent
Doctor and Saint, and heard great Argument
About it and about: but evermore
Came out of the same Door as in I went.
And that inverted Bowl we call The Sky,
Whereunder crawling coop't we live and die,
Lift not thy hands to It for help--for It
Rolls impotently on as Thou or I.
As a matter of fact I have seen few systems similar to the random graphs that we are taking about. The main reason why I think all the others "appeared" as non-workable is that time in space-time picture really complicated the issue, and rendered it difficult.
Example one:
http://www.fqxi.org/data/essay-contest-files/Shing_Connectivity_1.pdf
Example two:
In LQG paradigm, Smolin has a paper
The Plebanski action extended to a unification of gravity and Yang-Mills theory
http://arxiv.org/abs/0712.0977
says this
"The proposal of matter as the ends of long distance links needs more development."
The reason why my system works (I think), is that I started by saying what elementary elements I can have (for designing the universe) and after identifying them and possible operations using them and on them then I will map them to the physics. And it turned out that only lines constituting particles and their crossing naturally constituted space and time became clear that it is unphysical but represented the change of state. Empty coordinates have no meaning.
My advice is to get rid of time if you want your system to work at a fundamental level.
I will continue on to matrix and necklace later. And Knots.
Thanks for the good advice. If I make it in time good, if not I will be just as happy if you win.
For the sake of completeness. I must say that time as a fantom as it is, might have some treacherous role under certain conditions. Like Big Bang or the "start" of the universe. But I am not exactly sure at this time.
The idea of wormholes being responsible for particles at each end with charge due to flux lines goes back to Wheeler himself in 1955 http://mediathek.mpiwg-berlin.mpg.de/mediathekPublic/dms/mediathek/pdf/Department1/Quantum-Gravity-Workshop/o1955Geons.pdf
The random graphs can use this idea if you have flux lines running along links. No need for charges then, just gauge fields
Hi Philip,
Now that I'm here and am looking at your essay, I have the following two questions.
1."Acatalepsy . . . in philosophy, is incomprehensibleness, or the impossibility of comprehending or conceiving a thing." (Wiki)
Why do you want to emphasize the present messy state of affairs in physics, when the role of science is to seek transparency and insight? (I do remember what Einstein said about "simplicity".)
2. I found the following summary you give at the end of introduction.
"From layers of quantum uncertainty built upon fundamental information there is hope that spacetime and matter emerge in a natural way."
In my essay I stressed the "unacceptable ambiguity" of the term "information". So how does one understand your one-sentence summary (without going into the technical details), if its first half is quite ambiguous? ;-)
Yes, good old GEON. I have looked at it before but I have not had the time to analyze it and match it to my construction. What I have shown were just examples. There is another interesting one that may also be of an interest to you. Notice fig.5.
The Dirac - Kerr-Newman electron.
http://arxiv.org/PS_cache/hep-th/pdf/0507/0507109v4.pdf
The author has even a recent paper that revolves around the same idea but adds superstring theory to it. And Twisters.
Complex Structure of the Four-Dimensional Kerr
Geometry: Stringy System, Kerr Theorem, and Calabi-Yau Twofold
http://arxiv.org/pdf/1211.6021.pdf
He even revives GEON in this paper (section 4)
Gravity vs. Quantum theory: Is electron really
pointlike?
http://arxiv.org/pdf/1112.0225.pdf
As a matter of fact my theory is nothing but a generalization of Buffon's needle which connects to other main concepts used in physics, but I am not exactly sure of what the connection exactly is.
http://en.wikipedia.org/wiki/Buffon's_needle
http://en.wikipedia.org/wiki/Integral_geometry
http://en.wikipedia.org/wiki/Integral_transform
http://en.wikipedia.org/wiki/Radon_transform
http://en.wikipedia.org/wiki/Penrose_transform
http://en.wikipedia.org/wiki/Twistor_theory
In your matrix construction couldn't you assume that there are only two particles and see what happens then. Maybe you have to do some other simplifying assumptions.
I saw your section on Ynagians, necklaces and all that. I agree that this is crucial maths. The question is how to transfer these ideas to string theory and find Nima's T-Theory. I think the Yangians need to be replaced by Necklace Lie Algebras which have a richer structure. An interesting thing about the Polylogarithms is that they are generated recursively using multiple integrations. You can also use iterated integration on necklace algebras as a mapping so that is what I am looking at.
I think there is one big symmetry that covers them all including dualities, so your ideas connecting Yangians to dualities also makes sense.
I like the Buffon's needle puzzle. The key observation is that the expected number of crossings when you drop a curve of any shape depends only on its length. So you replace the needle with a circle whose circumference is the length of the needle. The solution is then easy. Sometimes generalising a problem to something that looks much harder actually leads to the solution.