Mathematics

 

Start Introduction Chance Word Mathematics Myself

 

The Beauty Mathematics

I will also mention some words about mathematics, partly because I have found a connection between the planets  orbital time around the sun and the mathematical relation called "the Golden Section", and partly because it seems to me that mathematics is an important part of the creation in universe.

Starting with a square, dividing it in the middle and draw the diagonal from the base in the middle of the square, will give a circle line. The base of the square is extended to the circle line. If we call the base of the rectangle (the line A to G) for "the great", and the base of the square (the line A to D) for "the small", we will get a relation between "the great" and "the small" that is 1,618...This number is usually named "the Golden Section". "The Golden Section" inverted gives 0,618...with the same decimals.

 

Andersson's Law

I have discovered a connection between the Golden Section and the orbital time for the planets around the sun, which perhaps tells something about the creation in the universe. Every odd power of the number 1,618... is about equal to the orbital time for any of the planets. If I call the number 1,618... for U, and write the power of U as U 1,  U 3, U 5.. and so on, then I get the following comparision, where the Earth is put in the "centre" as U 0.

 

  Real Orbital Time in Years

 Calculated Orbital Time
          Mercure                        0,241  0,236 = U -3
  Venus                           0,615  0,618 = U -1
      Earth                             1,000    1,000 = U 0
  Mars                             1,881     1,618 = U 1
  The Zone of Asteroids     ----  4,236 = U 3
  Jupiter                          11,87  11,09 = U 5
  Saturn                           29,46  29,03 = U 7
  Uranus                          84,01  76,01 = U 9
  Neptune                       164,8    199,0 = U 11
  Pluto                             247,7    521,0 = U 13

As we can see, the orbital time for each planet is an odd power of U. If we ignore Pluto, which can be a planet captured by the solar system, the results are closely in accordance with the real orbital time. The uncertainty seems to increase further out in the system. The time we are measuring seems to be the same as a mathematical relation.
How can it come that the planets can be found at certain distances from the sun? Possibly because it from the sun comes waves of gravitation. True is that there is no gravitation, only a curve in time and space, but the reason for the curves in our solarsystem is the sun.

               

The Golden Section in Architecture...

The Parthenon temple in Athens was built about five hundred years before Christ, when probably no one knew about the Golden Section. Nevertheless the building fits almost perfectly in the Golden Section.

 

..and in Art

An uncompleted creation by Leonardo da Vinci, "The Holy Hieronymus", from about year 1483. A Golden Section fits perfectly around the body. It is not known whether Leonardo da Vinci knew about the Golden Section.

 

The Spiral Flower Daisy

       

Counting the spirals give 34 spirals anti-clockwise and 21 clockwise. The relation between the numbers is 1,619, thus closely to the Golden Section 1,618. The numbers 21 and 34 are also included in Fibonacci's series of numbers, which starts with 0, 1 and where the following number is given by the two previous.

(Pictures from Matematik. Svalan/Life, vetenskapens värld)

 

About Random Walks

     

            The Leaf              The Sierpinski Triangle  The Mandelbrot Amount

( From Nationalencyklopedin)

The above pictures are examples of fractals, pictures or amounts that are strongly broken, in contrast to a straight line for example. Examples of fractals in the nature are the contour of a cloud, a mountainous country, a leaf, a tree or the line of a coast. The interesting thing is, however, that by random walks, where a point is moved in random following simple rules, it is possible to create pictures as those above. It seems as mathematics is an important part of the creation in nature. Maybe is it so that before creation in nature, there is a mathematical template which has to be followed. 

 

A Little About Quantum Physics

Quantum physics is that part of the physics which describes matter and the electromagnetic radiation in atomic and sub atomic systems, that is in microscopic scale. Energy appears in this level either as matter, quantum, in principle small packages, where every quantum has a determined energy, or as wave motion. Photons is another name for quantum in electromagnetic radiation.
Thus electromagnetic radiation, light for example, has a "double nature" and appear either as a beam of particles or as a wave motion.
There is in this micro world a famous example where two particles collide with each other, for example an electron and its antimatter counterpart, a positron. The result will then be that both particles will be annihilated and at the same time two photons will be created, which depart in different directions as wave motions. As the photons now are wave motions, they have no physical qualities, as speed and spin (motion around own axis), until they are observed by an observer. The observation, or the measuring act, is said to "collapse its wave function" and give random values to the photon.
If anyone now observes photon A, and thus put it to spin, photon B will also be put to spin in opposite direction, and that irrespective of how far away it is. It seems as photon B "knows" what photon A is doing, independent of distance.
This has been confirmed by physical experiments and points to a Universe, which in some way is connected with our consciousness. Perhaps a mathematical connection (own theory). Mathematics is probably part of the Universe, not something we human beings have created.

Source: Mystikens värld