In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space. When N=5, one of these numbers is sometimes colloquially called the fifth dimension. This usage may occur in casual discussions about the fourth dimension. Abstract five-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct. Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics.
Five dimensions in physics
In physics, the fifth dimension is a hypothetical extra dimension beyond the usual three spatial and one time dimensions. Some scientists have speculated that the graviton, a particle thought to carry the force of gravity, may "leak" into the fifth or higher dimensions which would explain how gravity is significantly weaker than the other three forces. The Kaluza-Klein theory used a fifth dimension to unify gravity with the electromagnetic force, and now is seen as essentially a gauge theory with gauge group the circle group. M-theory suggests that space-time has eleven dimensions, seven of which are "rolled up" to below the sub-atomic level.
In 1993 the physicist Gerard 't Hooft put forward the holographic principle, which explains that the information about an extra dimension is visible as a curvature in a spacetime with one fewer dimensions. For example, holograms are three dimensional pictures placed on a two dimensional surface, which gives the image a curvature when the observer moves. Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature of path of a moving infinitesimal (test) particle. 't Hooft has speculated that the fifth dimension is really the spacetime fabric.
[Polytopes
Demonstration of objects with 0 to 5 dimensionsIn five or more dimensions, only three regular polytopes exist:
The simplex, with N+1 vertices, all at equal distances from one another; it consists of N+1 simplices of dimension N-1. The three-dimensional simplex is the tetrahedron, and the five-dimensional simplex is a hexatetron; it has 6 vertices, 15 edges, 20 faces (each a triangle), 15 cells (or solids - each a tetrahedron), and 6 hypercells (each a pentachoron).
The measure polytope, having 2N vertices whose coordinates may be written (±1,±1, ..., ±1) for some suitable set of axes. It consists of 2N measure polytopes of the next lower dimension. The five-dimensional measure polytope is a decatetron; it has 32 vertices, 80 edges, 80 faces (each a square), 40 cells (each a cube), and 10 hypercells (each a tesseract).
The cross polytope, with 2N vertices, paired on opposite sides of the N coordinate axes; it consists of 2N simplices of dimension N-1. The five-dimensional cross polytope is a dotridecatetron, with 10 vertices, 40 edges, 80 faces (each a triangle), 80 cells (each a tetrahedron), and 32 hypercells (each a pentachoron).
The dual of a simplex is a simplex. A measure polytope and cross polytope of the same dimension are dual to each other.
2006-07-12 03:48:47
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answer #1
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answered by Bolan 6
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A musical group from the 60's
2006-07-12 03:46:39
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answer #2
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answered by Txfroggy 3
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Fifth Dimension is an American popular music vocal group, whose repertoire also includes R&B, Soul, and Jazz.
2006-07-12 03:45:50
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answer #3
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answered by I-C-U 5
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oh, that's simple but it wouldn't be known as a 5th dimension. as much as you wannna burst out TIME its not. the 5th dimension would be known as a 4 dimentional hyper cube!
2006-07-12 03:58:58
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answer #4
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answered by Carpe Diem (Seize The Day) 6
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A singing group from the '60's?
2006-07-12 03:44:48
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answer #5
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answered by oldsoul 3
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A musical group from the 60s that sang "Age of Aquarius"
;)
2006-07-12 03:44:47
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answer #6
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answered by darthbouncy 4
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A hyper-tesseract.
Also a band from the 1960s.
2006-07-12 03:45:40
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answer #7
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answered by Rjmail 5
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Time.
2006-07-12 03:45:21
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answer #8
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answered by Quietman40 5
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a triangle
2006-07-12 03:48:49
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answer #9
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answered by Scott R 2
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the twilight zone.
:)
2006-07-12 03:47:28
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answer #10
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answered by Anonymous
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