ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.

Wednesday, October 18, 2006

M3 (take-2)



















M3=E3/H3={,{},{,{}}}/{,{,{,{}}}} is the form that shapes all the rest since it has the overall symmetry of SM3=12/8=3/2. 3/2 is the symmetry that makes quarks/gluons and equal tempered tuning in music. I used call it Bion but given up on that. It is made by translating M2 by half and rotating by pi/4 in each of the 6 faces. And then completed the 3 manifested cubes giving M3 an outer shape like one of Escher's works.

It has 3 distinct aspects;






































M2

M2=E2/H2={,{}}/{,{,{}}} comes directly from M1, without using an intermediate form like M1.5. M2 is a tetrahedron reflected onto itself. 12 sticks on 8 points form a cube by it's diagonals. M2 corresponds to weak force and also to quaternion symmetry. It has 4 distinct aspects;



M1

M1=E1/H1={}/{,{}} stands for tetrahedron which is the symmetry of light and many other things. It has 3 distinct faces, all require some kind of collapsing. E1 stands for electric charge and H1 stands for light. So it has the same charge/field form. 4 independent equations of Maxwell's is based on tetrahedron symmetry.


M0.5







The next form triangle is obtained by a simple transformation of a stick by rotating it around one of it's points. M0.5 is between M0=,/{} and M1={}/{,{}};
M0.5={}/{}
It first updates it's charge or nominator to become M0.5, and then it's field or denominator to become M1. Thus it follows a zigzag. To become M0=,/{}, it must come from M0-=,/,

Triangle has two other views, both are lines;




These views are equivalent since sameness is not allowed, {,}={}. Triangle is the middle form between stick and tetrahedron which corresponds to M1. To make 2 to 4 you go through 3. Charge (,) makes own field ({}), and then field makes next charge; electric charge {+,-}. This implies that Higgs is a bipolar field {0,1}. {0,1} mutates to {+,-} by reflecting 1 accross 0 and making -1.

M0.5 reflects integers, if M0 reflects natural numbers.

M0.5 is the point where mirror symmetry is used.

M0+









M0+=,/{}
SM0+=0!/2^0=1/1=1

M0 is a very stressed state. Like a tossed hyper coin. Quantisation is the answer to resolve this stress;
dx*dp >= h/4*pi
h/4*pi is the smallest action possible in the universe. Note the black hole format, the 3D solid angle 4*pi. Out of this quantisation comes M0+=,/{}. Condensation of the dust field into small droplets creates a reaction like springs between nodes.

To get rid of the infinity, substitute 0 => 2 where it counts and break the symmetry;
0^0 => 2^0
SM0+=0!/2^0=1/1=1
This substitution reflects a dual polarisation of the dust field into a field of line segments. Boolean is the minimum space.

MSet is a quotient set. It takes 2^n as it's norm. M0+ has 2 aspects. The point aspect and the line segment (or stick) aspect. It has only one possible state at a time. Either point or stick. The collapse of wave function in quantum mechanics is based on this reasoning. If you look at it to see the point, you can't see the stick.

M0+ corresponds to Boolean algebra, {0,1}. Boolean is the minimum space.

In color, {black,white}.

In sex, {male,female}.

Friday, October 13, 2006

M6

A visualisation of M6 with smallest element M4.5 simplified for speed and many inner lines missing. 20 M5.5 make M6. They are tiled into a 3^3 cube by leaving the center and the 6 centers of the faces empty, 27-6-1=20. The relative finality of M6 is apparent from the completion of square and hexagon, both have good 2D tiling. MSet continues to produce interesting numbers after M6 but the ones that I checked all have 20 as a factor. Therefore the 20-cube is the final form. It just keeps getting finer and finer in detail after M6. This implies that our universe is the smallest possible. From here on it goes on and on until infinity. Our universe it seems is just a small speck in the final 20-cube.




















Following are 2D aspects with no perspective;



















Flower of life;




















































Following makes an attempt to compare Sri Yantra to M6 with M5 simplified to a tetrahedron. It seems it is there but I have not got the angles right yet.


















































































































M5.5

A visualisation of M 5.5 with M4 simplified to speed up computing. 18 M5 make M5.5. It is a 3^3 cube with corners and center missing, 27-8-1=18. Since M5 is a tetrahedron, it is alternated to tile the box.

















Durga yantra;

















































The following is M5.5 with M5 simplified to tetrahedron;

















Here are more matches with antiquity. M5.5 corresponds half-way to gravity/mass in ATON. I think M5.5 is like gravity and M6 is like mass.


















Thursday, October 12, 2006

M5

A visualisation of M5 with smallest unit M3 simplified to speed up computing. M5 is a tetrahedron with different views. 10 of M4.5 make M5.

















Following are 2D aspects with no perspective;


















Wednesday, October 11, 2006

M4.5

A visualisation of M4.5 which is made of 6 M4 arranged in a 3D cross;



















Following are 2D aspects with no perspective;






































Thursday, September 28, 2006

M4

A visualisation of M4 which is made of 18 M3. It is a 3^3 cube with corners and center missing, 27-8-1=18.



















Following are 2D aspects with no perspective;




























































A super-imposed Sri Yantra on a non-perspective aspect of M4;

Thursday, September 21, 2006

Sixness of gravity

M6 classifies elementary aspects of the universe into 7 steps;
0 Higgs
1 Light
2 Weak
3 Strong
4 Lepton
5 Time
6 Gravity
As it happens, there are 6 independent equations of the Einstein Field Equations (EFE). Here they are in compacted form;

Friday, September 15, 2006

Higgs as the ultimate stem cell




















Picture taken from http://biochem118.stanford.edu/Stem%20Cell.html.

The ultimate stem cell is the fertilized egg. Many stem cells make an embryo which then settles in the womb and develops following a tree. Embryo obviously is a being capable of feeding off the mother. When the fertilized egg starts multiplying, it forms a clone population with no overall polarisation. Like a piece of clay before it is formed into shape. Clay is formed of small particles but their size is small enough to be neglected.

Higgs is a quantised scalar field. Everything else is a pattern in the Higgs ocean, including light. It would be difficult, if not impossible, to probe into it using it's own patterns. So it looks undifferentiated to us. One needs a finer resolution to analyse it. Maybe the whole universe comes from a single Higgs particle. The ultimate self reference. Then Higgs follows the M6 category ladder to complete it's growth;

0. Higgs
1. Electric-charge/Light
2. Weak-charge/Weak-boson
3. Quark/Gluon
4. Lepton
5. Space/Time
6. Mass/Gravity

The first differentiation in the stem cells happens in {Muscle, Blood, Nerve} mediated duality. This is like {Plus-electric-charge, Light, Minus-electric-charge}. Light carries energy and blood carrries resources. Nerve is a modified muscle cell, and (-) is derived from (+); (-)*(-)=(+). Light has 0 mass, like blood cell floats in blood's base liquid. Action is ordered from nerve to muscle and the tension in muscle is fed back to nerve. In a similar way, electrons flow from (-) to (+), and holes flow from (+) to (-) in semi-conductors. Blood cell is closer to stem cell. Muscle and Nerve cells are specialised cells. Like 0 is a mirror between +1 and -1, Blood cell is a mirror between Muscle and Nerve cells.

{Muscle, Blood, Nerve} mediated duality produces motion to feed. Therefore the next polarisation must be the {Mouth, Stomach, Anus} mediated duality. Like {W+, Z0, W-} seperation of the weak charge and field.