- #71
jal
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Hi Christoph!
Could you give me your thoughts on ...
The length of strands.
String theory says that 3 dimensions expanded and that the others remained small.
Did your dimensions expand?
jal
You are right, LQG allows for gauge interaction of matter fields (to be put on top of LQG), but neither explains nor demands them. There is little hope that braids (a similar idea to strands, as far as I can see) can emerge from "framed" spin-network states of quantum-deformed SU(2).cschiller said:In loop quantum gravity, there seems no established way to explain gauge interactions. The main point of the manuscript is to present such a way, a way that uses only three spatial dimensions. ...
... The explanation shows that the definition of the wavefunction for fermions using strands depends on three spatial dimensions. It does not work in other numbers of dimensions.
Spinnor said:With all the other strands in our background how is motion possible with strands that can't pass through each other, it seems they can only slide past each other, how is motion possible with strands that can't be broken?
Originally Posted by apeiron
1) How do you view the crossings that create observable events? It sounds as though you have in mind a kind of quantum tunneling where there is a choice of either/or, under or over, and so fluctuations from one side to the other. You may not have a literal interpretation of crossings, but it would be interesting to know if you do.
2) What is the actual topology of the tangles. I presume the shape of the knots is going to be the subject of your follow-up paper, explaining the particle zoo.
3) When you talk about strands stretching to infinity, are you thinking of them as anchored to event horizons? That is, to "currently observable" infinity. Probably an unnecessary complication.
reply...
(1) No, strands can never interpenetrate or pass each other. In other words, crossings can switch only by one strand *rotating* around the other. Passing through is never allowed.
(2) Yes, the tangle structure is the topic of the next paper. Please be patient...
(3) Yes, (more or less) anchored at the horizon. `Infinity' is only true for flat space-time.
Christoph
Originally Posted by apeiron
Now I'm confused. How can a strand swap across to pass the other side by a rotation? Unless you are talking a trip through a higher dimension?
reply...
No, there are no higher dimensions; everything happens in three dimensions. A crossing switch can only occur through shape fluctuations. Take two pieces of real rope, and deform them in such a way that the crossing you are looking at changes sign.
A simple example is to imagine that the upper right of a crossing and the lower right are connected. Then the crossing is due to a twist. Rotate the twist twice by 180 degrees, and the crossing will be switched.
Does that make it clearer?
Christoph Schiller
Originally Posted by cschiller
This will indeed introduce additional crossings outside the field of view, but who cares? At the point in space we are interested
in, you have a crossing switch, and this is described by hbar. There will be other crossing switches elsewhere, which also produce hbars there.
reply...
To me this is just moving a crossing with a twist, not actually switching a crossing.
And now you are introducing some kind of observer effect. There has to be a "me" for whom the crossing looks locally switched, and also a me that does not have the peripheral vision to see it has only been twisted.
This sounds crazy so I would be looking for more convincing explanations for why this would be a good model.
As I say, I like knot-style approaches generally. And spin networks. They model worlds in which global constraints breed local constructive freedoms, which then leads to self-organising or bootstrapping theories.
So constrain local action to strands, to 1D paths, and suddenly there are unavoidable local constructive freedoms. There are new local symmetries created and thus the chance for new local symmetry-breakings.
Spinnor said:Strand Model see:
With all the other strands in our...ds, or py passing around at spatial infinity.
apeiron said:I raised this with Schiller and did not get an answer that satisfied me. I had thought the strands would have to actually cross (imagining this as a quantum tunnelling like approach). But he insisted that we only need worry about the local appearance of crossing, even if this created tangles further away in strands tethered at infinity.
Quoting...
cschiller said:We have to distinguish two types of getting tangled up:
(1) the tangling between different particles,
(2) the tangling between a particle and the vacuum.
About (1): This is solved by the belt trick, as you can check by yourself. Take a a lego brick, and attach longs strands to it, say of a metre or so in length, as many as you like. Fix the other ends of the strands to a table the floor, etc, but leave the strands loose. Then do the same with a second lego brick.
Now you can exchange the position of the two lego bricks TWICE; then the whole mess can be untangled without moving the bricks, just by moving the (unobservable) tails. In other words, strand fluctuations and the belt trick prevent many particle systems from tangling up hopelessly.
About (2) This is solved by the specific tangles that make up fermions. As explained in chapter 12 of
http://www.motionmountain.net/research fermion tangles can move through the vacuum in various ways without tangling up: either by exchanging strands, or py passing around at spatial infinity.
heinz said:1 * Does the theory make sense?
2 * Is it correct?
3 * Does it describe everything?
4 * Is it consistent?
5 * Does it solve all problems?
6 * Does it solve the problem of time?
7 * Does it solve the problem of dark energy and dark matter?
8 * Does it solve the problem of wave function collapse?
9 * What does it say about the multiverse?
10* Does it explain the big bang?
11* Does it explain God?
12* Does it make predictions?
13* Is the theory testable?
14* What about Goedels theorem?
15* How is emergence explained, and Laughlin's objections?
16* Is this the victory of reductionism?
17* What does the theory say about the anthropic principle?
18* Aren't you preposterous?
19* Does the theory have any use?
20* Does it help in our normal life?
21* What about string theory?
22* What happens to supersymmetry?
23* What about non-commutative space-time?
24* What about loop quantum gravity?
25* What happens to the landscape?
26* What happens to higher dimensions?
27* Why is this theory better than any other?
28* If it is correct, then why did you find it, and not another physicist?
29* How can you live making such an enormous claim?
Spinnor said:Thank you for your help! After a go at chapter 12 I still can't picture say a solar neutrino moving near the speed of light through the sun in your model. Just does not seem with all those tangles and strands around the neutrino could not deform its strands fast enough? I'll keep working on it.
Another question, please point me in the right direction, how is the relative weakness of gravity explained in your model?
cschiller said:Strands are a Planck scale model. The distance between particles in the Sun is easily 10^25 times larger, and the timnes are longer by this or even a larger factor. So there is enough "room" and "time" to disentangle.
Gravity is weak because fermion masses are much smaller than the Planck mass. And this is due to the continuous fluctuations of the strands, which make the knotted configurations of a fermion (which provide the mass) are extremely unlikely compared to the unknotted configurations (which have no mass). This is explained in the chapter on particle properties (chapter 12) of http://www.motionmountain.net/research/index.html .
Spinnor said:...
(1) A spinning neutron star in your model, all the tails of a spinning neutron star head to infinity? If the neutron star is rotating all the tails will have to preform the belt trick for every two revolutions of a neutron star? The belt trick in this situation seems "unnatural".
(2) Using rope I have made some tangles. I have made an electron and a positron tangle, as shown in figure 8 of,
http://arxiv.org/abs/0905.3905
I have looked at figure 11 of http://arxiv.org/abs/0905.3905 and it is not clear how these two tangles can combine and give us two photon strands and no particle tangles?
heinz said:3 * Does it describe everything
7 * Does it solve the problem of dark energy and dark matter?
And also:
30* What value of alpha does it predict?
31* What values of particle masses does it predict?
32* What values of mixing angles does it predict?
33* Why did you not calculate them?
34* Why is it not background-independent?
35* What symmetries does it have?
36* How exactly are general relativity and quantum theory unified?
cschiller said:(1) For matter, the belt trick untangles each particle separatly. Maybe the belt trick occurs for macrsocopic objects in the case of black holes - maybe; but surely not for neutron stars.
(2) As shown in chapter 12 of http://www.motionmountain.net/research/index.html , there are several tangles that correspond to each fermion. The simplest tangles are not knotted, and for these, the annihilation is much easier to see, when one assumes that the ends at spatial infinity come together. If the knotted states are studied, QED diagrams can only be reproduced by "looping over" at spatial infinity.
cschiller said:36 * General relativity and quantum theory are all seen as consequences of the invariance of Planck units. In the strand model, Planck units are invariant because crossing switches are processes that are the same for any observer. The invariance of Planck units then follows, and from that, the DIrac equation (for motion of matter in flat space) and Einstein's field equations (for motion of curved space). Equivalently, matter and space are made of the same extended, fluctuating constituents. This leads to unification of quantum theory and general relativity.
heinz said:Christoph, this is too short! People have searched for this unification for almost a century, and you behave as if it is a side problem, or a student exercise! How exactly do all evolution equations appear? How can you claim unification with so few equations in your paper and in your book?
heinz said:Christoph, this is too short! People have searched for this unification for almost a century, and you behave as if it is a side problem, or a student exercise! How exactly do all evolution equations appear? How can you claim unification with so few equations in your paper and in your book?
SimonA said:(1) Of course Christoph's theory does not "explain everything".
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(2) This idea of a TOE is nonsense from the start.
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(3) Christoph's theory has holes.
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(4) Challenge him on details, but it's contrary to the empirical principles of science for you to ask him to re-evaluate the whole of physics - on a message board - in light of his theory. Surely?
KaneJeeves said:... It almost seems like a form of religious belief, where The Big TOE functions as a god of sorts. ...
Spinnor said:(1)A neutron star in your model has at least four strands for each neutron of the neutron star and these strands all head off to infinity? If the neutron star rotates how do we avoid all the strands from getting twisted together as I thought they could not pass through each other? Rotation of large objects seems to twist up stands if the belt trick is not used. On plank scales I can see the belt trick as a natural event undoing the twist of rotation but not with a star? Maybe I'm missing something here.
(2)To your second point. The chiral knotted tangle of figure 8, page 12 of
http://arxiv.org/abs/0905.3905 is meant to represent a fermion. So if we have a fermion and its antiparticle in tangle representation we have two chiral knotted tangles that must somehow annihilate or disappear? I do not see how you make them disappear unless they just head off to infinity?
cschiller said:- A - The strand model makes this possible for the following reason.
- Special relativity is based on and follows from the invariance of the speed of light c, and on it being a limit property.
- Quantum theory is based on and follows from the invariance of the quantum of action hbar, and on it being a limit for measurable action values.
- General relativity is based on and follows from a limit value for momentum change, c^4/4G, and on this being a limit value.
All these properties are built into the definition of the crossing switch of strands. That is the main reason that fundamental equations are not needed; in fact, they do not exist. All important evolution equations of physics directly follow from the invariant Planck limits. In this sense, the crossing switch and its relation to the Planck units realize the unification of general relativity and quantum theory.
- B - The other, harder part, is to explain the appearance of interactions and of the standard model of particle physics. That is what is done in the arxiv paper and in the 6th volume of my physics text.
cschiller said:The rotation of galaxies depends on the elucidation of dark matter. Here the strand model makes the - at present very unpopular - prediction that dark matter is ordinary matter (including maybe, black holes). We will see what the searches will yield.
cschiller said:(1) The belt trick also works in the star case, as incredible as it sounds. Everythuing untangles after 2 full rotations.
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cschiller said:Background independence does not exist in the strand model by construction
The idea is that each observer introduces its own background. My personal opinion is that background independence is impossible to achieve. My *very sloppy* argument for this conviction goes like this: (1) Physics is (precise) talking (and thinking) about motion. (2) Talking and thinking is done by an observer. (3) Every observer has a background. (4) There is no way to talk without being an observer. (5) Talking is not possible without a background
The rotation of galaxies depends on the elucidation of dark matter. Here the strand model makes the - at present very unpopular - prediction that dark matter is ordinary matter (including maybe, black holes). We will see what the searches
will yield.
Spinnor said:I believe such a process works mathematically, it just does not seem pretty enough. You are very clever and I think are on the right track towards a Theory of Everything, a simple idea that yields all physics. Nature I think is still a bit more clever.
Thanks for your help!
LBJ said:(1) I don't understand your definition of background independence. Background independence means that space is in constant flux. That is, the geometry of space is not fixed, but directly related to the matter present. The gravitational field is not existing in space. It is the space.
(2) As for Dark Matter see Milgrom's Law. Additionally it is non baryonic and so does not interact electromagnetically. That's why it's dark.
(3) How do you distinguish particle from spatial strands? Is it possible your model is actually predicting spatial strands?