What about the other dimensions?

Question

Every one knows about the third dimension. Is there any one who can tell me about the rest?

Answer 1

In common usage, a dimension (Latin, "measured out") is a parameter or measurement required to define the characteristics of an object—i.e. length, width, and height or size and shape. In mathematics, dimensions are the parameters required to describe the position and relevant characteristics of any object within a conceptual space —where the dimensions of a space are the total number of different parameters used for all possible objects considered in the model. Generalizations of this concept are possible and different fields of study will define their spaces by their own relevant dimensions, and use these spaces as frameworks upon which all other study (in that area) is based. In specialized contexts, units of measurement may sometimes be "dimensions"—meters or feet in geographical space models, or cost and price in models of a local economy.

For example, locating a point on a plane (ie. a city on a map of the Earth) requires two parameters — latitude and longitude. The corresponding space has therefore two dimensions, its dimension is two, and this space is said to be 2-dimensional (2D). Locating the exact position of an aircraft in flight (relative to the Earth) requires another dimension (altitude), hence the position of the aircraft can be rendered in a three-dimensional space (3D).

If time is added as a 3rd or 4th dimension (to a 2D or 3D space, respectively), then the aircraft's estimated "speed" may be calculated from a comparison between the times associated with any two positions. For common uses, simply using "speed" (as a dimension) is a useful way of condensing (or translating) the more abstract time dimension, even if "speed" is not a dimension, but rather a calculation based on two dimensions. Adding the three Euler angles, for a total 6 dimensions, allows the current degrees of freedom —orientation and trajectory —of the aircraft to be known.

Theoretical physics often experiments with dimensions - adding more, or changing their properties - in order to describe unusual conceptual models of space, in order to help better describe concept of quantum mechanics —ie. the 'physics beneath the visible physical world.' This concept has been borrowed in science fiction as a metaphorical device, where an "alternate dimension" (ie. 'alternate universe' or 'plane of existence') describes extraterrestrial places, species, and cultures which function in various different and unusual ways from human culture.

The physical dimensions are the parameters required to answer the question where and when some event happened or will happen; for instance: When did Napoleon die? — On the 5 May 1821 at Saint Helena (15°56′ S 5°42′ W). They play a fundamental role in our perception of the world around us. According to Immanuel Kant, we actually do not perceive them but they form the frame in which we perceive events; they form the a priori background in which events are perceived.

Classical physics theories describe three physical dimensions: from a particular point in space, the basic directions in which we can move are up/down, left/right, and forward/backward. Movement in any other direction can be expressed in terms of just these three. Moving down is the same as moving up a negative amount. Moving diagonally upward and forward is just as the name of the direction implies; i.e., moving in a linear combination of up and forward. In its simplest form: a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions. (See Space and Cartesian coordinate system)

Time is often referred to as the "fourth dimension." It is, in essence, one way to measure physical change. It is perceived differently from the three spatial dimensions in that there is only one of it, and that movement seems to occur at a fixed rate and in one direction.

The equations used in physics to model reality often do not treat time in the same way that humans perceive it. In particular, the equations of classical mechanics are symmetric with respect to time, and equations of quantum mechanics are typically symmetric if both time and other quantities (such as charge and parity) are reversed. In these models, the perception of time flowing in one direction is an artifact of the laws of thermodynamics (we perceive time as flowing in the direction of increasing entropy).

The best-known treatment of time as a dimension is Poincaré and Einstein's special relativity (and extended to general relativity), which treats perceived space and time as parts of a four-dimensional manifold.

Theories such as string theory and m theory predict that the space we live in has in fact 10 or 11 dimensions, respectively, but that the universe measured along these additional dimensions is subatomic in size. As a result, we perceive only the three spatial dimensions that have macroscopic size.

In the physical sciences and in engineering, the dimension of a physical quantity is the expression of the class of physical unit that such a quantity is measured against. The dimension of speed, for example, is length divided by time. In the SI system, the dimension is given by the seven exponents of the fundamental quantities. See Dimensional analysis.

In mathematics, no definition of dimension adequately captures the concept in all situations where we would like to make use of it. Consequently, mathematicians have devised numerous definitions of dimension for different types of spaces. All, however, are ultimately based on the concept of the dimension of Euclidean n-space E n. The point E 0 is 0-dimensional. The line E 1 is 1-dimensional. The plane E 2 is 2-dimensional. And in general E n is n-dimensional.

A tesseract is an example of a four-dimensional object. Whereas outside of mathematics the use of the term "dimension" is as in: "A tesseract has four dimensions," mathematicians usually express this as: "The tesseract has dimension 4," or: "The dimension of the tesseract is 4."

The rest of this section examines some of the more important mathematical definitions of dimension.

For vector spaces, there is a natural concept of dimension, namely the cardinality of a basis. See Hamel dimension for details.

A connected topological manifold is locally homeomorphic to Euclidean n-space, and the number n is called the manifold's dimension. One can show that this yields a uniquely defined dimension for every connected topological manifold.

The theory of manifolds, in the field of geometric topology, is characterized by the way dimensions 1 and 2 are relatively elementary, the high-dimensional cases n > 4 are simplified by having extra space in which to 'work'; and the cases n = 3 and 4 are in some senses the most difficult. This state of affairs was highly marked in the various cases of the Poincaré conjecture, where four different proof methods are applied.

For any topological space, the Lebesgue covering dimension is defined to be n if n is the smallest integer for which the following holds: any open cover has a refinement (a second cover where each element is a subset of an element in the first cover) such that no point is included in more than n + 1 elements. For manifolds, this coincides with the dimension mentioned above. If no such n exists, then the dimension is infinite.

The inductive dimension of a topological space may refer to the small inductive dimension or the large inductive dimension, and is based on the analogy that n+1-dimensional balls have n dimensional boundaries, permitting an inductive definition based on the dimension of the boundaries of open sets.

For sets which are of a complicated structure, especially fractals, the Hausdorff dimension is useful. The Hausdorff dimension is defined for all metric spaces and, unlike the Hamel dimension, can also attain non-integer real values [1]. The box dimension is a variant of the same idea. In general, there exist more definitions of fractal dimensions that work for highly irregular sets and attain non-integer positive real values.

Every Hilbert space admits an orthonormal basis, and any two such bases have the same cardinality. This cardinality is called the dimension of the Hilbert space. This dimension is finite if and only if the space's Hamel dimension is finite, and in this case the two dimensions coincide.

The Krull dimension of a commutative ring, named after Wolfgang Krull (1899 - 1971), is defined to be the maximal number of strict inclusions in an increasing chain of prime ideals in the ring.

The negative (fractal) dimension is introduced by Benoit Mandelbrot, in which, when it is positive gives the known definition, and when it is negative measures the degree of "emptiness" of empty sets.

Science fiction texts often mention the concept of dimension, when really referring to parallel universes, alternate universes, or other planes of existence. This usage is derived from the idea that in order to travel to parallel/alternate universes/planes of existence one must travel in a spatial direction/dimension besides the standard ones. In effect, the other universes/planes are just a small distance away from our own, but the distance is in a fourth (or higher) spatial dimension, not the standard ones.

In his book The Road to Reality: A Complete Guide to the Laws of the Universe, scientist Sir Roger Penrose explained his singularity theorem. It asserts that all theories that attribute more than three spatial dimensions and one temporal dimension to the world of experience are unstable. The instabilities that exist in systems of such extra dimensions would result in their rapid collapse into a singularity. For that reason, Penrose wrote, the unification of gravitation with other forces through extra dimensions cannot occur.

Answer 2

I just sort of answered this question in one previous to yours: Here is what I said:



String Theory, which is a possible candidate for the Ultimate Theory of the Universe, demands that there actually be ten spatial dimensions! Four spatial dimensions are impossible for our brains to comprehend and picture let alone ten.

You might be wondering why we aren't aware of the extra seven dimensions if they do exist. The reason: they are curled. Let me explain what that means.

Imagine looking at a clothesline. From afar, it looks like the clothesline only has two dimenions: you can either go left or right. Now when you move closer, you are able to see the third dimension of the line, which would allow say an ant to crawl around (up and down) as well as left and right. You couldn't see that dimension from afar because it is curled up and very small.

This is the same principle with the other seven dimensions. They are curled up, and can only be seen if we were able to probe to a small enough distance. This distance is actually a millionth of a billionth of a billionth of a billionth of a centimeter! That is way too small for us to be able to see today, and probably for quite some time.

There are some tricks though for getting a feel for 4 dimensions. You consider an example that relates 2-D to 3-D, and then apply that to relating 3-D to 4-D.

For example: imagine a table top is a 2-D Universe, and on that Universe lives a being shaped like a square. If you were above this 2-D plane and were to talk to the square, he would hear you, but not see you. If you decided to show him a sphere, would have to pass the sphere through his 2-D Universe. The only problem is, he wouldn't see the 3-D sphere. He would see at first a point, followed by a succession of circles that kept growing until you reached the mid-point of the sphere, which would be the biggest circle. Then as you continued to move the sphere through the plane, he would see a succession of circles that got smaller until he saw a point, and then nothing. The point is, he would only see cross sections of the sphere, which are circles.

Now apply that to our Universe. If a being were in the fourth dimension and tried to pass a hypersphere (a 4-D sphere) through our Universe, we would only be able to see cross sections of that hypersphere. What would we see? We would see a succession of 3-D spheres that kept growing, reached the largest size, and then shrunk back down to nothing! So, the cross section of a 4-D sphere is a 3-D sphere.

Here is another really cool example. Going back to the square being, let's say he had a safe. His safe would have four walls, in which one of the walls would act as a door. It would basically be a hollow square. Since there are four walls, a 2-D being in that Universe would have no chance at getting any money out of the safe without opening the door. However, you being in the third dimension above the 2-D plane, could simply reach in and grab the money coming from the top. It would be a complete magic trick to the square.

Similarily, a 4-D being could reach in our 3-D safe reaching in from the fourth dimension, and take our money without opening the door!

Answer 3

In classical physics dimensions are the independent variables necessary to solve physics problems. Independent means that one dimension can be changed without changing the other dimensions. The most common way of presenting the dimensions is: length, width, height, mass, charge and temperature. Time cannot be a dimension in this sense because no dimension can be changed without time changing.

Answer 4

I am no authority, but i believe with M theory there are 11. energy supposedly vibates at such insane frequencies that it comes and goes from our 'existence'. there are multiple layers to every aspect of our space. Matter is based on stabilitity of atomic vibration. Branes. "google branes" . I wish I could tell you more, but I am clearly not smart enough to tell you about this with meaning. I can only point you in what I think is a good direction. Cutting edge physics (and tests) indicate that something can come from nothing. I believe the universe created itself based on physics and has done so for a 'long time.' Remember, you have a human brain, think as a human, and can only understand in a human way. The concept that human ideology is the only form of information conception/analysis is ludicrous.
Let there be infinity. And vibration. I am very sad to not give you the answer. Because I so strongly want to give the humans the truth. But there is almost a 100% chance humans will not be physically capable of understanding this. Not even the smartest or most tripped out and opened minded. I am very sad, confused and upset about this because I refuse to believe in magic. I am a bunch of nicely evolved vibration of atoms. I am very upset about not being able to tell you about the dimensions of our existence.

Answer 5

The number of possible dimensions is supposed at 6 to the 6th power to the 6th power. That's a lot to tell you about.

Answer 6

The twelfth dimension is all mine so don't even think about it.

Answer 7

i have seen the 5th dimension they sang great

Answer 8

ASK AN ALIEN THE HAVE BEEN HERE BEFORE US BILLIONS OF YEARS

Answer 9

ummm i have no idea what your talking about.

Answer 10

2-d is wat is rght n' front of u