This behavior is matched by the set of unit quaternions : A general quaternion represents a point in a four dimensional space, but constraining it to have unit magnitude yields a three-dimensional space equivalent to the surface of a hypersphere.
22.
Humans normally perceive physical reality as four dimensional, i . e . three-dimensional space ( up / down, back / forth and side-to-side ), and one-dimensional time ( past / future ).
23.
An example of a four dimensional second order antisymmetric tensor is the relativistic angular momentum, which has six components : three are the classical angular momentum, and the other three are related to the boost of the center of mass of the system.
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:If you consider space-time as a four dimensional vector space, then the shape a 3-D cube forms moving forward through time is a Tesseract ( the fourth-dimensional length depends on the length of time that elapses ).
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:: According to some theories are four dimensional universe is seperated from othe dimensions by a brane, our universe is on a brane, that is what i mean . Preceding talk ) 00 : 19, 23 December 2009 ( UTC)
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:: : The extensions I was looking at were not the stacking, but rather the equivalents where the three dimensional truncated cube and octahedrons becomes the four dimensional truncated tesseract and 16-cell . talk ) 19 : 52, 24 May 2012 ( UTC)
27.
The upside potential becomes much clearer for Joe once Momo " augments " him, by helping him grow a new eye on a 4D stalk, giving him the power to see in four dimensional directions, as well as the ability to see into our dimension using a four dimension perspective.
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:So "'if "'the world was four dimensional ( that is to say'four spatial dimensions'- calling time a dimension is just wrong in this context ), it wouldn't look any different than the 3D world-which in turn looks exactly the same as a 2D world.
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I must admit I think pictures like that are a bit misleading as they show a three dimensional perspective rather than a four dimensional one, the closest in 4D would be somewhere near the centre and should have a larger yellow ball and thicker and longer lines around it . talk ) 20 : 14, 10 July 2011 ( UTC)
30.
However, the difference from the electromagnetic aether of Maxwell and Lorentz lies in the fact, that " " because it was no longer possible to speak, in any absolute sense, of simultaneous states at different locations in the aether, the aether became, as it were, four dimensional, since there was no objective way of ordering its states by time alone . " ".
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