four-dimensional

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.

Stephen Hawking at 70: still the brightest star in the scientific universe 2012

In my next story I posited humans in a four-dimensional cage, put there by more powerful off-stage aliens.

Archive 2010-02-01 Blue Tyson 2010

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.

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

Julian: Your desire for a dinghy is merely the tesseract shadow cast by the four-dimensional dinghy itself

The Market Will Solve 2009

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.

Data Visualization for Everyone « Steve Wildstrom on Tech 2010

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).

Objections to Kaku and Liu’s “How to Time Travel?” 2009

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).

Poincaré Conjecture « Anglican Samizdat 2010

He likened the complex process to "four-dimensional chess."

U.S. pushes for Yemen solution as Saleh vows return 2011

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).

“Black Holes – a Simplified Theory for Quantum Gravity Non-Specialists” 2009

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.

Discourse.net: Shadows on Plato's Cave: Giant Hologram Version 2009