## Tuesday, December 02, 2014

### The Minimum Universe.

The Minimum Universe .

Andre Willers
2 Dec 2014
Synopsis :
We calculate the minimum necessary sufficient size for a Universe . (r=2.645 x 10^(-20) meters)

Discussion :
1.A handy view is the holographic principle :
“The holographic principle is a property of string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a boundary to the region”

2.While the boundary of a volume can be mathematically regarded as two-dimensional , in reality it has to be at least one Planck-length deep . At least one particle of matter .
Planck length, denoted P, is a unit of length, equal to 1.616199(97)×10−35

3.The Shell Principle :
A Universe of Radius R(0) has all it’s  information encoded in a shell of depth b  around it .
VolShell = 4/3*pi   [  (R(0) + b)^3 – R(0)^3]
This means that VolShell = 4/3*pi*R(0)^3 from an information viewpoint . All the data in the sphere is packed into the shell .
This gives b= (2^(1/3)  -1) * R(0)
= 0.259921049 *R(0)
4. We iterate this .
Every shell has another shell around it  , and this decreases by the above factor of 0.26 .
We iterate until b is equal to one Planck length  .
This gives about 26 iterations .

5.What does this mean ?
The 26 shells are in one-to-one correspondence with the minimum necessary sufficient Arith I systems to describe any universe .
The “bubbles” of numbers or space-time correspond to the shells .

6.The minimum necessary sufficient size for any universe with a Planck length .
From above , n = 25.62 + ln(R(0)) / 1.343773
N is 26  as a minimum .

This gives 2.6458 x 10^(-20) meters  as the minimum size of a universe , but it still has to have at least 26 dimensions .

7.This would translate as the pre-inflationary size of the Universe .

Why does it inflate then ?
The Schwinger limit is exceeded in the shells http://en.wikipedia.org/wiki/Schwinger_limit
The system goes chasing it’s own tail in a wild , non-linear feedback .

8. What does it mean ?
8.1 Creating universes is much easier than we thought .
But your kernel must include iron or a multiple atomic number . See 8.2 below .
No mass concentrations . Only exceed the  http://en.wikipedia.org/wiki/Schwinger_limit

8.2  Stable transuranics
The system is fractal , so expect islands of stability at beats of 26 .
Why iron is at the bottom of the nucleonic packing curve .
It is the simplest way of describing this universe .

Expect Stability at
Iron (26)
Tellurion(52)
Platinum (78)
Rutherfordium (104)
Element (130)
Element (156)
Element(182)
Element (208)
Etc

9. Minimum self-sustaining biospheres .
We use the Shell principle in para 3 above .
Biosphere volume for Earth = = 4/3*pi   [  (R(0) + b)^3 – R(0)^3]
Here R(0) = 6371 km b = 23 km
Shell Number
After 14 iterations we can pack the whole of Earth’s biosphere into a sphere of 2 cm radius ..

You can measure a civilization’s level by the concentration of it’s biosphere .
For instance , Earth is a level 0 civilization .
The whole biosphere (6371 km) is packed into itself .

9.1 How big a spaceship do you need for your biosphere , given your level of knowledge ?
Levels : radius of a spaceship to accommodate the whole biosphere .
0.   6371 km  Earth .
1.    1410 km a big spaceship .
2.   366 km  Better  bio knowledge
3.   95km
4.   24km
5.    6 km
6.    2 km
7.    400 m
8.   104 m
9.   27 m
10 .  7 m
11.    2 m
12.   24 cm
13.   7 cm
14.   1.9 cm

10. How to do this ?
See

Regards
Andre
xxxxxxxxxxxxxxxxx

Xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx