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I do understand a little about physics, but in consideration that I know very little, please IN LAMENS TERMS!

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I do understand a little about physics, but in consideration that I know very little, please IN LAMENS TERMS!

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Like I said I understand the tesseract. Which is the 4th dimensonal base shape.

The other question I am asking is if time would act differently in the 4th spacial dimmension or would it have the same one directional properties?

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2) I am of the opinion that any one point on the T dimension ("time") corresponds to

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selfAdjoint

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This would be an answer to everybody's prayers if it weren't for the quantum. The KK theory is completely classical, and the quantum, whatever groundlings want to believe, is very real.

Plus there are the other two forces, the strong and the weak, which are not accomodated in this theory.

The idea of compact dimensions was borrowed from KK theory by the string theorists.

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String Theory (and other ten-dimensional theories) incorporateOriginally posted by selfAdjoint

This would be an answer to everybody's prayers if it weren't for the quantum. The KK theory is completely classical, and the quantum, whatever groundlings want to believe, is very real.

Plus there are the other two forces, the strong and the weak, which are not accomodated in this theory.

The idea of compact dimensions was borrowed from KK theory by the string theorists.

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selfAdjoint, you mentioned that if it weren't for the quantum, Kaluz-Klein theories would be more acceptable. I don't understand this. Could you please explain why the quantum theory contradicts the higher-dimensional theories?

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Tom Mattson

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The problem is not the higher-dimensions, the problem is that Kaluza-Klein is not quantum mechanical.Originally posted by Mentat

selfAdjoint, you mentioned that if it weren't for the quantum, Kaluz-Klein theories would be more acceptable. I don't understand this. Could you please explain why the quantum theory contradicts the higher-dimensional theories?

It is basically a single classical field theory from which both GR and EM drop out. There are two reasons why this is not The Answer, and both reasons have to do with the quantum world:

1. The fields are not quantized.

We know for certain that the EM field is really a granular entity whose quanta are called

2. The weak and strong interactions are not included.

Moreover, they cannot be included, because there is no classical potential for gluons and W/Z bosons. Only quantum gauge field theories will do.

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steppenwolf

i read it was another spatial dimension but of the same form as our normal 3, ie very long, which is SO not the proper way to describe it but i forget the terminology; like the rest of the 15 or so theorised dimensions would have to be curled up so small they wouldn't affect us. the 5th dimension would be big enough, however the only forve to interact with this dimension would be gravity.

this is a great way to explain the fact gravity loses so much 'strength' after such short distances; it leaks away into this 5t dimension!

- #11

arivero

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As you mention the Tesseract, here is an insteresting property of dimension four and higher: the only regular poli"hedra" is the generalized cube. IE the Tesseract in four dimensions, and so on.

It is interesting because we have infinite regular poligons in dimension two, five regular poli"gons" in dimension three, and only one in dimension four, five, six, etc... I have been told, at least.

Other funny property of low dimensions relates to the permutation group. Fof n>4, the Symmetric Group S_n of permutations of n elements is not a solvable group (roughly, this property says that it can not be decomposed in interesting ways). This implies, for instance, that there are no algebraic formulae for a generic polinomial of degree 5, as it has five roots to play with and the solution depends on playing with permutations of the products.

Other source of low dimensional effects comes from renormalization group. Via power-counting in the Gell-Mann RG, or scaling in the Kadanoff & Wilson approach, the dimensions D<= 4 are usually singled out as having particular properties, fixed points, etc. In some cases this can be an effect of the theories we are looking, but even so it is a remarkable thing.

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Now may I add (or to point out) one of my questions.

"Does the 5TH spacial dimension have anything to do with the tunneling properties of high-energy particles?"

Now if I may add a thought?

Mayby by taking a tesseract and visualizing the movement, then taking it one step further into the 5TH spacial dimension I began to visualized the consepts of multiple planes of existence in one spacetime continum.

As I tried to describe the properties I thought of 'in font of' and 'behind'.

THis was the only wy I could think of for describing what consepts I visualized. The consept might help somebody somewhere. I hope.

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damgo

No... not if you mean *observed* tunneling properties.

Touching on S_n, S_6 is also a very weird case: it is the only S_n that has an outer automorphism, and also the only S_n not isomorphic to its automorphism group. :)

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As in: 'S_n, S_6'; and 'automorphism and isomorphism'

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It's something you'll learn in school probably next year...

These Ss...are groups of "transformations" represented by matrices...S means that the sum of the color "charges" is 0...

Damn complicated...

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So Einstein was wrong? Forces are not just curvature?Originally posted by Tom

The problem is not the higher-dimensions, the problem is that Kaluza-Klein is not quantum mechanical.

It is basically a single classical field theory from which both GR and EM drop out. There are two reasons why this is not The Answer, and both reasons have to do with the quantum world:

1. The fields are not quantized.

We know for certain that the EM field is really a granular entity whose quanta are calledphotons. Kaluza-Klein does not share this feature. The EM that emerges from it is Maxwell's EM.

2. The weak and strong interactions are not included.

Moreover, they cannot be included, because there is no classical potential for gluons and W/Z bosons. Only quantum gauge field theories will do.

It appears that String Theory unites the Quantum view of "forces" with Einstein's view. String theory states that a certain vibration of the string alters spacetime in a certain way, so that - while the force is still caused by a particle/wave - the percieved force is still the result of a curvature (on one of the dimensions).

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arivero

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Avempt, S_n is standard for the group of permutations of n elements. So for instance S3 is the group of six posible exchange operations (123)-----> (123) (213) (132) (321) (231) (312). ItOriginally posted by avemt1

As in: 'S_n, S_6'; and 'automorphism and isomorphism'

must no be confused with the label "S" in a Lie Group, which indicates "Special" in the sense of being a matrix group with determinant always equal to 1.

The S_n groups are also seen as coming from the A_n groups, the groups of even permutations of n elements.

In any case, they could be relevant in the thread because permutations are important when defining a volume form or any other differential form. For instance, the external product is sensible to permutations: dx ^ dy = - dy ^ dx.

As for the weirdness of S6, I was not aware of it. Damgo is claiming that it is possible to map S6 onto itself with a transformation which is not an element of S6, and that it is the only permutation group having this property. I had never heard of this.

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Einstiensqd

I have a theory that revolves around there being four dimensions, and having time as a state of being as opposed to a dimension, and I thoroughly believe that time is NOT a dimension. If you want to check out my theory, it is in the theory development area of this site.

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damgo

Yup, basically. The proof for n>6 is IIRC not particularly short and pretty, but you can find it in the first couple chapters of Dummitt&Foote. The counterexample for n=6 maps something is an outer isomorphism that takes the two-cycles (a b) to triads (c d) (e f) (g h)... you can find it spelled out online I think.Damgo is claiming that it is possible to map S6 onto itself with a transformation which is not an element of S6, and that it is the only permutation group having this property.

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elas

Every measurement of distance we make is made using the EM spectrum. We cannot measure inside a SF body and any attempt to do so results in pushing the SF body to one side. We can of course measure from side to side using the EM spectrum but we cannot measure inside. Exactly the same arguement applies to gravitons. SF particles are to strong and gravitons are to weak both are pushed aside by our EM instruments. The same arguements would apply if we were made of SF or gravitons.

Each force has its own Length, Breadth and Height dimensions that do not overlap, giving a total of nine dimensions so far. To this must be added Time, the dimension of history; and infinity, the dimension of the vaccum frame.Time and the vacuum frame are common to all force fields. This gives a total of eleven dimensions all of which fit into Quantum theory and Relativity as they stand without any need for strings, white or black holes, or other magical terms.

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Perhaps you should start a thread about your idea, in the Theory Development Forum, Einstiensqd.Originally posted by Einstiensqd

I have a theory that revolves around there being four dimensions, and having time as a state of being as opposed to a dimension, and I thoroughly believe that time is NOT a dimension. If you want to check out my theory, it is in the theory development area of this site.

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mouseman

The mathematical definition of a 1-dimentional object is an infinite series of 0-dimensional object. The definition of a 2-D object is an infinite series of 1-D objects. A 3-D object is a series of 2-D objects. If we take this pattern of succession on up, a 4-D object is an infinte series of 3-D objects, which is how one can visualize time progression. Now as far as visualizing a shape for it, what about this: Take a 1-D object. To make one you take a 0-D object and pick one direction (could be any) and make a line by placing them one after another in that direction. Now if we apply this to a 3-D object, let's say a cube, a 4-D object could be represented by a... what is the name for a hexahedron that's got four rectangles? I forgot. Whatever it is we could take that 4-D object and make a 5-D object by taking our pattern and rotating the succession 90^{o} on the same plane, so our new object looks kinda like a king-size mattress.

Would this work?

BTW the mathematical definition of any object in space makes no physical sense to me. If a 3-D object is just an infinite number of 2-D cross-sections, this would suggest that a 2-D object is infinitely thin, which is the case (length & width, no height). But no matter how many 2-D objects you stack on top of the first one, by definition, this "new" object would still be infinitely thin. Any number of cross-sections times zero height is still zero. Can anyone explain this? Or clarify my brain?

Would this work?

BTW the mathematical definition of any object in space makes no physical sense to me. If a 3-D object is just an infinite number of 2-D cross-sections, this would suggest that a 2-D object is infinitely thin, which is the case (length & width, no height). But no matter how many 2-D objects you stack on top of the first one, by definition, this "new" object would still be infinitely thin. Any number of cross-sections times zero height is still zero. Can anyone explain this? Or clarify my brain?

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mouseman

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mouseman

Jesus Jones! Forget that. I appologize for that ridiculous excuse for a question I last posted.

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arivero

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Also, the plane where a keplerian orbit takes place, seems physical enough.

Note that if you are too strict about this question, actually all matter is a bunch of zero-dimensional particles. So I can not show you any physical three-dimensional object

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