from The American Heritage® Dictionary of the English Language, 4th Edition
- adj. Specified by or exhibiting four dimensions, such as the three spatial dimensions and single temporal dimension of relativity theory.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Having four dimensions; being measurable along four mutually perpendicular axes.
- adj. Relating to the four dimensions of space-time (three spatial dimensions with the addition of time as the fourth)
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- adj. involving or relating to the fourth dimension or time
Sorry, no etymologies found.
He likened the complex process to "four-dimensional chess."
It is contained in four-dimensional space, and is defined as the set of points at a fixed distance from a given point, just as the two-dimensional sphere (skin of an orange or surface of the earth) is defined as the set of points in three-dimensional space at a fixed distance from a given point (the center).
A very important thing to remember: The dark star calculations are done for a three-dimensional Euclidean space, while the black hole calculations are done for a four-dimensional Lorentzian spacetime (there is a big difference between the two).
If we have local coordinates defined, we can then represent the metric tensor in matrix form, where, for our four-dimensional spacetime, we will have a 4×4 matrix with elements gμν.
Finally you can do a sort of four-dimensional chart plotting one variable on the horizontal axis, a second of the vertical, and a third reflected in the size of a circle representing the data point, and a fourth indicated by the color of the circle.
He showed that the physics inside a hypothetical universe with five dimensions and shaped like a Pringle is the same as the physics taking place on the four-dimensional boundary.
Julian: Your desire for a dinghy is merely the tesseract shadow cast by the four-dimensional dinghy itself
Since the work of Einstein, we know that the stage on which the universe acts out its drama is not three-dimensional space but four-dimensional spacetime, and moreover that stage, spacetime itself, is dynamic and plays its own part in the evolving action.
In my next story I posited humans in a four-dimensional cage, put there by more powerful off-stage aliens.
In reality, there are three space dimensions, so the light would actually form an expanding or contracting sphere in 3D space rather than a circle in 2D, and the light cone would actually be a four-dimensional shape.
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