Wednesday, April 25, 2012

Hypothetical Structure of Space-time

Our hypercube is used here to model space-time.
The core of the 4 x 4 x 4 cube is a 2 x 2 x 2  cube.  Since each of these are composed of cubes, the entire object is considered an hypercube.
The core may be regarded as the hypercube's inner dimension, while the corners of the shell may be taken as framing the corresponding outer dimension.  For the sake of clarity, the remaining 48 cubes are not depicted .

oracle inner outer
prob %   color corners corners remains dimension
 4/64    red        2       2       0       0th
12/64    blue       2       2       8       1st
20/64  green      2       2      16       2nd
28/64    yellow     2       2      24       3rd

In the table above, the yarrow-stalk divination probabilities are treated in a reductive fashion.  The inner and outer dimensions are framed at the corners, and are assumed to be analogues of each other.  We observe that the red probabilities are completely consumed by the framework, leaving no remainder for the sides of the hypercube.  This suggests that, when regarded as a dimension, the red probability is unmanifest or non-spatial, serving perhaps as the ground/field for the remaining dimensions.  Given that there are four dimensions in our model, time may be regarded as the zeroth dimension. 

The other three colors (blue green, and yellow), after contributing to the framework, leave remainders that are multiples of 8, reinforcing the notion that eight, expressed cubically, is template for dimensional space.  Continuing our analogy, these three colors provide for three manifest spatial dimensions.  These [sixteen] cubes, comprising fully one-quarter of the hypercube complete the framework, leaving 48 cubes (not shown) to fulfill their respective dimensional spaces.

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