Faster Than Light 1
It may seem impossible to show that you can travel faster than light (FTL) but let's approach this in a different way and show how it is possible.
Let's say that until we reach light space the fabric of space is defining by mapping the real numbers.
Now if we can remove this constraint and replace it by another reliable mapping system we can indeed show that travelling FTL.
This is what I do here I am saying that the divisors also map real space. However they can map space as it distorts.
Notice in the diagram "Lattice Points" if qd = n then a n appproaches infinity we find that the curve becomes the side of a square revolved 45 degrees. This would mesh with 4D geometry. However to enter we only need a minimum of 2C if C = normal light speed in 3D.
I believe that this indicates that much higher speeds are possible in 4D. My F wave shows this as the 4D phase extends its length and diminishes its amplitude as FTL speed increases.
The actual maximum speed in 4D will have to be determined by practise in the future rather than approaching this problem mathematically.
I suppose that this also tells us that to travel faster than light in 4D then the fabric of 4D space does not have to deform until n is at a maximum. Instead all the distortion occurs in Complex Space! A very neat and elegant solution, though I say so myself.
In figure "Lattice Points" we see that the divisors do create a consistent pattern for a plane even if it is not flat. The best shape for the plane with divisors is an hyperbolic plane such I use for my ztar.
As we will see on page 2 this also provides a means of changing from a 3D to a 4D geometry (in terms of mathematical number theory). To provide a more practical and complete transformation Complex Quantum Mechanics holds the answers.
In figure "Lattice Points 2" we see that this orthogonal property MAY be a possible means of constructing a new spatial fabric (which I will show actually works)
