Grand Unification Theory

G=SU(3)×SU(2)×U(1)

G is gauge group.

Grand unification theory is expansion of G.

We have 4 powers in our nature, which are weak interaction, strong interaction, electromagnetic interaction, and gravity.

The integration is so hard because of gravity. G may need super gravity for expansion. There is no space and time.

SU(5)⊃SU(3)×SU(2)×U(1)

This is corruption of everything, and it must be the beginning.

It is very difficult to capture Zero.

SO(10)⊃SU(5)×U(1)

Higgs field

Now I got φ. There is no matter in Gauge theory, but scalar potential is for gravity.

gσρ(x)→W(x)gσρ(x)

Gravity and Electromagnetic Field are integrated.

However, there are space and time between x and x0. This is against Gauge theory because of General theory of relativity.

Then, Higgs field solved this contradiction.

SU(2)×U(1)

This is called spontaneous symmetry breaking.

Gauge symmetry never be broken, and matter is not Zero.

Gauge Theory

I use fractal as art, but there are some relations with gauge theory.

E is electric field.

∇E=ρ/ε0

∇B=0

B is Magnetic field.

B=∇A

A is vector potential.

∇E=-∂B/∂t

∴

∇(E+∂A/∂t)=0

E+∂A/∂t=-∇φ

φ is scalar potential.

∴

B=∇A, E=-∇φ-∂A/∂t

This is Gauge symmetry, and the potential is chaotic.

φ(x)→φ'(x)=e^iθ*φ(x)

e is Electric charge.

Dark Pattern

This is a mathematical trick.

Every square is just the line

or

Every number is reduced to 1 except for 0

There is chaos, but it is in squares. You can also expand any dimensions, when you accept Zero.

Zn=6n

1^2=1

∴

Cellular Automaton

Sierpinski gasket is fractal, which is the concept of my web site.

This is a part of quantum theories, although it is chaotic.

Sierpinski gasket is in rule 90.

There are 3 cells, and you pick up the center.
There are 2^3=8 patterns, which are just on and off.

(0,0,0)→0

(0,0,1)→1

(0.1,0)→0

(0,1,1)→1

(1,0,0)→1

(1,0,1)→0

(1,1,0)→1

(1,1,1)→0

It is called exclusive disjunction.

I chose (1,0,0)→1, because a part includes everything in fractal.

You can put the part in a spreadsheet infinitely.

This isn't Тетрис.