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I have read that there exist non-integer fractal dimensions and the images generated from these dimensions look organic and they seem to provide a new way of describing the world around us, which raises the question. How many dimensions (spatially or otherwise) do we live in? 3, 3.1, 3.5 as well as 1 time dimension or could time itself exist in a fractal dimension of its own.

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migrated from math.stackexchange.com Feb 4 '13 at 12:31

This question came from our site for people studying math at any level and professionals in related fields.

Sorry brah this question is not suitable for this site. –  BenjaLim Feb 4 '13 at 11:28
Jordan, you are confusing Mathematics with Physics. Physics is what we live in, Mathematics is only the way we model it. –  Gerry Myerson Feb 4 '13 at 11:59
Possible duplicate: physics.stackexchange.com/q/19802/2451 –  Qmechanic Feb 4 '13 at 13:28
I'm fine with it being moved to physics, now that I think about it it is definitely more suited to physics. Thanks. –  Jordan Brown Feb 5 '13 at 6:47

2 Answers 2

up vote 3 down vote accepted

Off course the Idea of having fractal dimensions in our real physical word is extremely interesting, but till now, and despite of all the experiments made, there is no evidence of such a thing (for example, in LHC there is a dedicated team of physicists that analyzing colider data for any variation that may be treated as an evidence for extra dimensions).

Thus we can say for now, that within our current technologies and measurement apparatus accuracy, 4 desecrate dimensions are just enough to describe most of what we know about our universe

Anyway there is still many open questions that some physicists argue that they can be solved by considering fractal dimensions, but the most important part in those claims still missing: the experimental evidence, and we mast tend to search for the simplest explanations for those questions, and calming that it's a fractals is a very exotic one.

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The world is incredibly well-described locally by $\mathbb R^4$ and we know no experiment that would pretend the contrary.

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No, the physics is not described with fractals but with linear algebra and operators. And it works perfectly. –  Damien L Feb 4 '13 at 10:43
@JordanBrown An actual fractal has detail literally infinitely far down. In reality fractal structure will only go so far: eventually you get to molecules and that sort of thing. You don't need fractal dimensions to be able to have a repeating pattern! Fractal dimensions are just useful for talking about certain aspects of some repeating patterns. A fern leaf is very much 3D, even though the little sub-leaves look like copies of the big one. –  Robert Mastragostino Feb 4 '13 at 10:56
For the moment the Standard Model is using only 4 dimensions. And this model is extremely accurate. –  Damien L Feb 4 '13 at 11:00
Define "extremely"? I would rather thing "sufficiently" is the correct word. –  Asaf Karagila Feb 4 '13 at 11:14
Extremely means : every time we are able to measure something more precisely, QFT gives the right answer. Every time. –  Damien L Feb 4 '13 at 11:16

protected by Qmechanic Jun 25 '13 at 19:15

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