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 .

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

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