4D: It's About Time
In mathematics, four-dimensional space ("4D") is a geometric space with four dimensions. It typically is more specifically four- dimensional Euclidean space, generalizing the rules of three-dimensional Euclidean space. It has been studied by mathematicians and philosophers for over two centuries, both for its own interest and for the insights it offered into mathematics and related fields.
Algebraically, it is generated by applying the rules of vectors and coordinate geometry to a space with four dimensions. In particular a vector with four elements (a 4-tuple) can be used to represent a position in four- dimensional space. The space is a Euclidean space, so has a metric and norm, and so all directions are treated as the same: the additional dimension is indistinguishable from the other three.
In modern physics, space and time are unified in a four-dimensional Minkowski continuum called spacetime, whose metric treats the time dimension differently from the three spatial dimensions (see below for the definition of the Minkowski metric/pairing). Spacetime is not a Euclidean space.
Our Time on Survey Earth in a Day 4D
On June 21st, you might ask yourself "If I am submitting my data at Noon, what time is it in other places around the world?" This quick little world clock tool we have made for Survey Earth in a Day 4D will make it very simple to visualize just that. |
| Real Time World Clock for Survey Earth in a Day 4D |
