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 :

http://en.wikipedia.org/wiki/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 .

http://en.wikipedia.org/wiki/Planck_length

Planck length, denoted ℓ_P, is a unit of length, equal to 1.616199(97)×10⁻³⁵ metres

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 ?

See http://andreswhy.blogspot.com/2009/08/inside-of-zero.html

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 ?

Because of http://andreswhy.blogspot.com/2014/01/gecko-zeropoint-energy.html

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 .

http://en.wikipedia.org/wiki/Extended_periodic_table

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

http://andreswhy.blogspot.com/2014/09/prodigies-update-i.html

http://andreswhy.blogspot.com/2014/10/prodigies-update-ii.html

Regards

Andre

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