Replacing the Cartesian coordinate system

Brad G. Berman (Oregon State University)

Published in astro.philica.com

Observation
The three Cartesian space dimensions and the time dimension (x, y, z, t) are an artificial overlay that allows geometry to model our surrounding world, but in nature, there are no square corners or straight lines. Perhaps there is a more natural Cartesian that could be considered.
Here are three orthogonal properties (dimensions) of spacetime that form a golden electromagnetic triad:
Electric field Permittivity, Pe
Magnetic field Permeability, Pm
The speed of light, C
The vector that is orthogonal to both the electric and magnetic property vectors of space is the speed of light. The three dimensions are related by this math: the speed of light C equals the inverse of the square root of the cross product of Pe and Pm, C = 1/sqrt(Pe x Pm). Thus, spacetime can be described by Maxwell’s equations by utilizing only three dimensions: Pe, Pm, C.
By replacing the x, y, z, t Cartesian description of space with a spherical geometry utilizing Pe, Pm, C, you could model the universe as the sum of an infinity of overlapping spheres, continuously expanding at the speed of light and originating from all possible singularities. In this geometry, C is the sphere’s expanding radius playing the role of t. Pe and Pm play the role of xyz and are the expanding, intermingling surface areas of the sum of all the infinity of spacetime spheres, playing the role of the quantum foam.
Finally, as the process of time (the speed of light, C) evolves outwards from the Pe and Pm of the quantum foam, it excites the holographic structure of Pe and Pm, thus providing to us the morphologies of our surrounding phenomenal 3-D world. Perhaps these could be the universe’s three natural fundamental dimensions instead of x, y, z, t.
(see article 586 and observations 169, 191, 205, 210, 211 and 214).