Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective Alternative form of
four-dimensional .
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adjective involving or relating to the fourth dimension or time
Etymologies
Sorry, no etymologies found.
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Examples
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(There are also issues with using 2-dimensional images to help us think about 4-dimensional spaces, but that can be for later).
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He steps through into a network of alternate pathways through 4-dimensional space.
A Pantry of Unusual Sounds stephen hastings-king 2011
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He steps through into a network of alternate pathways through 4-dimensional space.
A Pantry of Unusual Sounds stephen hastings-king 2011
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(There are also issues with using 2-dimensional images to help us think about 4-dimensional spaces, but that can be for later).
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For example, it has been proven that there is no general means of proving whether or not a pair of 'triangulated' 4-dimensional manifolds are homeomorphic (topologically identical).
Theories of Everything and Godel's theorem Gordon McCabe 2009
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We can retain the general relativistic representation of physical space-time as a 4-dimensional manifold, equipped with a metric tensor of Lorentzian signature, but for each worldline & #947 representing a physical system with a mind supervening upon it, we can introduce a subjective time tensor.
Archive 2009-01-01 Gordon McCabe 2009
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For example, in general relativity, the structure is that of a 4-dimensional Lorentzian manifold, the Einstein field equations select a sub-class of all the possible 4-dimensional Lorentzian manifolds, and the choice of boundary conditions or initial conditions selects a particular 4-dimensional Lorentzian manifold within that sub-class.
Archive 2009-06-01 Gordon McCabe 2009
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(There are also issues with using 2-dimensional images to help us think about 4-dimensional spaces, but that can be for later).
-
For example, it has been proven that there is no general means of proving whether or not a pair of 'triangulated' 4-dimensional manifolds are homeomorphic (topologically identical).
Archive 2009-06-01 Gordon McCabe 2009
-
For example, in general relativity, the structure is that of a 4-dimensional Lorentzian manifold, the Einstein field equations select a sub-class of all the possible 4-dimensional Lorentzian manifolds, and the choice of boundary conditions or initial conditions selects a particular 4-dimensional Lorentzian manifold within that sub-class.
Lee Smolin and the multiverse Gordon McCabe 2009
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