Tuesday, October 27th, 2009
Introduction to Minkowski Space
Description
A detailed tutorial of the application of Minkowski space. Step by step tutorial including several examples of Minkowski space for reference.
Overview
Minkowski space, sometimes referred to as Minkowski spacetime, is the setting in which Einstein’s theory of relativity was formed. Three ordinary dimensions of space are combined with a single dimension of time. This makes Minkowski space a four-dimensional manifold for representing spacetime. Minkowski space is often contrasted with Euclidean space because they are the same, except that Euclidean space has no dimension of time, and Minkowski space does.
Tags: algebra, dimension, Einstein, Euclidean, manifold, Minkowski, relativity, space, spacetime, theory, time
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Friday, October 23rd, 2009
Introduction to the Four-Vector
Description
A detailed tutorial on the four-vector. Step by step tutorial including several examples of the four-vector and how to solve it for reference.
Overview
In linear algebra, a four-vector is defined as a vector in four-dimensional real vector space. The difference between a vector and a four-vector is that a four-vector can be transformed by Lorentz transformations. The concept of four-vectors branches out throughout vector mathematics, and to special relativity and general relativity. The concepts are a little different in each, but not enough to make it confusing if you are learning about them from a different standpoint. Four-vectors are often used in combination with matrices.
Tags: algebra, concept, four-dimensional, four-vector, general, Lorentz, matrices, real, relativity, space, special, transformations, vector
Posted in Algebra | No Comments »
