A spinor, is the square root of a vector.
A Brownian motion, is the square root of time. (dB^2 = dt)
There's more to this square root thing than meets the eye.
One of the interesting things you can do with a Brownian generator, is look at it from the reciprocal reference frame. In other words, instead of having a single random generator under the influence of molecular collisions, you have a random field that describes and/or generates the collisions.
A square root usually means there's an extra degree of freedom in play. Topology formalizes this in two dimensions with the transformation between Euclidean distance and Mahalanobis distance ("taxicab distance").
The actual definition of Mahalanobis distance is considerably more complicated than it sounds.
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A Brownian motion, is the square root of time. (dB^2 = dt)
There's more to this square root thing than meets the eye.
One of the interesting things you can do with a Brownian generator, is look at it from the reciprocal reference frame. In other words, instead of having a single random generator under the influence of molecular collisions, you have a random field that describes and/or generates the collisions.
A square root usually means there's an extra degree of freedom in play. Topology formalizes this in two dimensions with the transformation between Euclidean distance and Mahalanobis distance ("taxicab distance").
The actual definition of Mahalanobis distance is considerably more complicated than it sounds.
