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Hyper-Complex Numbers

Roger Penrose said Octernions are the lagest possible types of "numbers" that calculus can be sensibly used. Quaternions however are much easier to use and can be viewed as orientations in 3D space. 

The bulk of our coding of our Q-Balls will be using quaternions. 

These numbers can be thought of as either spaces with one real and three imaginary directions or we can  treat the i, j , k poles as different rotational poles. Unity uses quaternions by default to rotate objects in 3D space. 

This makes it convenient to use quaternion directions for our PreQuantum Truth directions. 

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Mathematical Geometry

Complex numbers consist of pairs of  co-ordionments in one real and one imaginary direction. In Minkowski Spacetime diagrams setting the agles of these axies defines an inertial frame that separates  spacetime into space and time directions. The letter i is used by mathematicians to represent the imaginary number that is the square root of minus one. Eelectricians often use j instead. Presumably the letter i already has a meaning for electricians.

Hamilton's i,j,k rotations of quaternions treats imaginary numbers as poles in a type of polar coordinates. The real numbers can be treated as the translation distance in meters and the ijk poles as 3 rotations directions.

​Computational Geometry uses geometric expolanations of vector math to end up with the same outcomes as Complex numbers but in a more intuitive way.

The real and imaginary components of complex nubers can be though of as inner and outer products of two vectors which are needed to describe the full properties of a directional area. 

Clifford Algebra extends what can be dome with vectors into areas less easily imagined geometrtic properties. 

In my model classical/quantum logics, Bloch and Reiman spheres, Collapse of wavefunction and time slicing, shadow and holographic projections are all projections of the one topology of directional truth values. 

There seems to be a pattern where the more dimenions you use to describe the topology the closer the magnification. Work by Itzhak Bars using time planes instead or timelines suggest not all combinations of dimensions are  viable. String theorists automatically reject dimensional spaces where knots can not exist. Pure mathematicians use different arguments but may arive at similar conclusions. 

Amplituhedron math. 

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Modular Numbers

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t'Hooft uses modular numbers when modeling quantum oscilations. Modular  numbers  arise out of a mixture of cyclic wave patterns and discrete limits to reality or perception.

 

Wagon wheels in old movies appear to spin backwards at certain speeds. Temperature that arises out of vibrations has maximal and minimal  temperatures acting the same. 

String Theory's size reflection causes objects one third the size of a Placnk length to appear 3 Plank lengths large.

In Penroses Conformal geometries the border between quantum and classical logic happens when objects bet larger than a Planck volume. 

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Modular Numbers

One a clock there are only 60 minutes and the 61st minute is seen as minute 1. These circular numbers are called "Modular" numbers. 

Conformal Numbers

In Conformal Geopmetry every number represents an angle. Typically this is the distance between 2 points on a unit sphere. Presumably volumes represent relationships of 3 or more unit vectors. 

Updated 2017 by Benji Bear and Friends

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