Looking around in
the world, from the microscopic to the macroscopic we observe that:
-
it exists an
alternation of central (atomic) and amorphous(molecular) structures
-
at some orders
of magnitude we find well-defined structures, systems with approximately the
same dimension, weight, etc.
Some approximately
average date in the following table.
Structure |
|
Diameter (cm) |
Mass (g) |
Density (g/cm3) |
The hard core of
the nucleon |
|
0,2.10-13 |
|
|
Pion cloud |
|
|
|
|
Nucleon |
|
1,5.10-13 |
1,7.10-24 |
5,0.1014 |
Nucleus |
|
5,0.10-13 |
2,7.10-23 |
5,0.1014 |
Electron |
|
2,8.10-13 |
9,0.10-28 |
8,0.1010 |
Atom |
|
1,0.10- 8 |
2,7.10-23 |
2,7.101 |
Molecule |
|
|
|
|
|
|
|
|
|
Big molecule |
|
~ 10-4 |
|
|
Live organism |
|
~ 104 |
|
|
|
|
|
|
|
Planet |
|
2,5.109 |
1,1.1027 |
2,5 |
Star |
|
6,2.1011 |
1,0.1034 |
1,8 |
Solar system |
|
~ 1014 |
|
|
Star clusters |
|
7,0.1018 |
2,0.1037 |
6,0.10-20 |
Galaxy |
10 kpc |
6,6.1021 |
1,3.1044 |
5,0.10-22 |
Galactic clusters |
500 kpc |
|
|
|
super clusters |
10 Mpc |
2,3.1024 |
1,8.1048 |
2,8.10-25 |
Einstein’s universe |
10,000 Mpc |
~ 1029 |
~ 1057 |
~ 10-30 |
This preferred
values looks like some bound states in a negative “metapotential”. How looks
the corresponding differential equation?
Interaction
type |
Strength |
strong |
1 |
Electromagnetic |
10-2 |
Weak |
10-5 |
gravitational |
10-40 |
The above table
suggest that going up on the scale of the order of magnitudes we probably find
an “ultra”-weak interaction and so on.
But let thinking
simpler. Suppose that the Universe is something self-optimizing. The first
thing what it must do is an inventory of itself and the first step is to
measure the dimension of the whole. Now a simple model. Suppose we have to
measure the length of a very long cord,
with very high precision. At our
disposal is a small cord, the unit and a third piece of cord, as long as we won’t. The first method
is to compare the etalon with the very long cord, how many times is in it. A
better method is to cut a part from the third piece, and measure it with the
etalon. This freshly measured piece can be an intermediate etalon, with which
we can measure the gross part of the long cord and after measure the rest with
the original small etalon. The number of comparisons is the sum of the number
of comparisons creating the intermediate etalon, the number of comparisons with
the intermediate etalon and the number of comparisons of remaining part with
the original, small etalon. This number is substantially less than in the first
measurement. We can continue recursively the process, creating a hierarchy of
intermediate etalons and using all them. Much more even the measurement of the
intermediate etalons can be optimized. There must be an optimum number of
etalons with optimal lengths.
Tuning from the length of the “very
long” cord and from the parameters of the measuring procedure we can identify
the dimension of our sensed universe and some details of its structure along
the micro-macro axe.