Thanks for link, JT - Bruce Cathie does have some very interesting material. The connections he shows are astounding. I have his book "The Harmonic Conquest of Space" and it's filled with tons more mathematical connections.
Critics generally say anyone can play with numbers to arrive at seemingly meaningful results after a sufficient series of meaningless steps (square root, divide by two, divide by six, invert, square etc...). They say this because when Cathie transforms a measurement or coordinate into a harmonic number, there is no protocol for this transformation other than using some arithmetic operations, so it seems arbitrary.
Cathie counters this claim of him "fudging the numbers" by saying that he correctly predicted when and where an atomic bomb would be detonated as part of a US military experiment. According to his theory, atom bombs can only explode at certain points in spacetime where the harmonic numbers are correct. This has to do with position on earth, position of the sun, etc... If his harmonics theory was based on arbitrary math, then he wouldn't have been able to predict something.
My opinion is that Cathie is on track regarding there being an earth grid, that grid points have certain mathematical relationships, and that "numerology" of coordinates and measurements can show hyperdimensional correlations not explainable by 3D expectations.
What I'm not sure about is whether Cathie has the right global-grid alignments (he aligned one to the Eltanin ocean-bottom "antenna"), grid spacings, and so on. Also, if the Earth grid is dependend on Earth's magnetic field, then wandering magnetic north would mean the real grid is shifting in aligment as well.
If anything, Cathie points the way to a true science of harmonics and grid physics. The only danger would be viewing his system as infallible and delineating the boundaries of what science of harmonics and grid physics are about. There's lots more.
That the earth can have a grid is not farfetched at all. Any sphere when vibrated will show a nodal pattern on its surface marking out a grid. The electromagnetic or gravitational field of the earth would do the same if there is any vibrational component to it. Mathematics calls these nodal patterns "spherical harmonics" (or "normal modes") which is the 3D equivalent of Hans Jenny's science of cymatics.
Spherical harmonics show that nodes appear on the surface wherever a platonic solid inside the sphere has points touching the surface. So if you stick a tetrahedron in the sphere, you get four nodal points in a pyramid pattern - likewise, stick two inverted tetrahedrons in there and you get more nodal points, the ones north and south of the equator following Richard Hoagland's 19.5 rule. There are other models for cubes, icosahedrons, dodecahedrons, and octahedrons. The Cassiopaeans emphasized the importance of cymatics when it comes to investigating the earth grid and the geometric relations between sacred sites.
Here is a nifty program for doing this:
http://members.telering.at/t.faltejsek/
It plots an earth grid based on spherical harmonics.
There's lots more on the web about the earth grid. Keywords: ley lines, orthotenies. Cathie says that UFO sightings follow a grid pattern - in 1954 a French research discovered the same:
The connection between leys and lines of unknown earth energies was initially made by Tony Wedd, who had read the English translation of Aimé Michel’s Lueurs sur les Soucoupes Volantes (M.A.M.E., 1954). In this, Michel presented an hypothesis that French UFO landing (or near-landing) sites recorded during the 1954 flap fell into a grid of straight lines, which he called ‘orthotenies’
http://kjmatthews.users.btopenworld.com … nes_2.html
Acquiring fringe knowledge is like digging for diamonds in a mine field.