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Matrix : the Sun, the "Golden section" of the Earth and metric tensor Riemann.


nootelepat

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THE MAGIC NUMBER 55

55 is the sum of ten digits of the decimal system
55 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
55 is the tenth number of the Fibonacci series 1, 1, 2, 3, 5, 8, 13, 21, 34, 55
55 is the tenth triangular number 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
55 is the sum of the first five square numbers 1, 4, 9, 16, 25
55 is the fifth square pyramidal number 1, 5, 14, 30, 55
Only four numbers 1, 55, 91, 208335 are both triangular and square pyramidal

Fibonacci sequence.
1 1 2 3 5 8 13 21 34 55 89 144
  1+2+3+5+8+13+21=55
                        21+34=55

WHO CREATED OUR WORLD ???

 

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15 minutes ago, nootelepat said:

THE MAGIC NUMBER 55

Why do you think this is “magic”?

What is the the relevance of the sun, the earth, the golden section or Riemann ?

17 minutes ago, nootelepat said:

WHO CREATED OUR WORLD ???

Someone born in 1955?

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2 minutes ago, nootelepat said:

This is only part of a larger article. It is published in Russian.

Does that mean you are not interested in discussing this here?

Note that your "magic number" has nothing to do with a Riemannian metric tensor. You have just chosen a few two digit numbers that are created from 2D indices. 

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Recall that the basis of Riemann's and Einstein's work
is the metric tensor — that is, a collection often numbers defined at each
point in space. This was a natural generalization of Faraday's field con-
cept. In Figure we saw how these ten numbers can be arranged as
in the pieces of a checker board with dimensions 4X4 . We can denote
these ten numbers as g„, g„ ...

Furthermore, the field of Maxwell is
a collection of four numbers defined at each point in space. These four
numbers can be represented by the symbols A1, A2, A3, A4 .

To understand Kaluza's trick, let us now begin with Riemann's theory
in five dimensions. Then the metric tensor can be arranged in a 5 X 5
checkerboard. Now, by definition, we will rename the components of Figure. Kaluza's brilliant idea was to unite down the Riemann metric in five
dimensions. The fifth column and row are identified as the electromagnetic field
of Maxwell, while the remaining 4X4 block is the old four-dimensional metric
of Einstein.

In one stroke, Kaluza unified the theory of gravity with light simply
by adding another dimension. Kaluza's field, so that some of them become Einstein's original field and some of them become Maxwell's field. This is the essence of Kaluza's trick, which caught Einstein totally by surprise. By simply
adding Maxwell's field to Einstein's, Kaluza was able to reassemble both
of them into a five-dimensional field.

"Michio Kaku. Hyperspace. A Scientific Odyssey Through Parallel Universes, Time Warps, And The 10th Dimens Ion"

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When carefully analyzing the full five-dimensional the-
ory, we find that Maxwell's field is nicely included within the Riemann
metric tensor, just as Kaluza claimed. This innocent-looking equation
thus summarized one of the seminal ideas of the century.
In summary, the five-dimensional metric tensor included both Max-
well's field and Einstein's metric tensor. It seemed incredible to Einstein
that such a simple idea could explain the two most fundamental forces
of nature: gravity and light.

Was itjust a parlor trick? Or numerology? Or black magic? Einstein
was deeply shaken by Kaluza's letter and, in fact, refused to respond to
the article. He mulled over the letter for 2 years, an unusually long time
for someone to hold up publication of an important article. Finally,
convinced that this article was potentially important, he submitted it for
publication in the Sitzungsberichte Preussische Akademie der Wissenschaften.
It bore the imposing title "On the Unity Problem of Physics."

In the history of physics, no one had found any use for the fourth
spatial dimension. Ever since Riemann, it was known that the mathe-
matics of higher dimensions was one of breathtaking beauty, but without
physical application. For the first time, someone had found a use for the
fourth spatial dimension: to unite the laws of physics! In some sense,
Kaluza was proposing that the four dimensions of Einstein were "too
small" to accommodate both the electromagnetic and gravitational
forces.

We can also see historically that Kaluza's work was not totally unex-
pected. Most historians of science, when they mention Kaluza's work at
all, say that the idea of a fifth dimension was a bolt out of the blue, totally
unexpected and original. Given the continuity of physics research, these
historians are startled to find a new avenue of science opening up without any historical precedent. But their amazement is probably due to
their unfamiliarity with the nonscientific work of the mystics, literati,
and avante garde.

"Michio Kaku. Hyperspace. A Scientific Odyssey Through Parallel Universes, Time Warps, And The 10th Dimens Ion"

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That's not how you add tensor components to begin with. Those indices are simply for the entry that would reside there. Secondly use of higher dimensions is common. It's defined in mathematics as any independent variable/ set 

Nothing mythical about it.

Nor would those tensors be used for Kaluza Klein. Wrong size tensor those are only 4D tensors.

Edited by Mordred
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42 minutes ago, nootelepat said:

Recall that the basis of Riemann's and Einstein's work
is the metric tensor — that is, a collection often numbers defined at each
point in space. This was a natural generalization of Faraday's field con-
cept. In Figure we saw how these ten numbers can be arranged as
in the pieces of a checker board with dimensions 4X4 . We can denote
these ten numbers as g„, g„ ...

This is all totally irrelevant.

You have generated your "magic number" by cherry picking a few of the subscripts. These could just as well be positions on a checker board. Or any other matrix. Finding some numbers that add to 55 is not interesting and has nothing to do with GR or Maxwell.

 

And you still haven’t explained where “the Sun, the Golden section of the Earth” come into it. 

Or even what the “Golden section of the Earth” is. 

This looks like numerology and therefore has no place on a science forum. 

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MILLIONS of mathematicians over the course of 160 years of looking at the metric tensor of the Riemann -- did NOT SEE !
And just AS I NOTICED the strange above  "coincidence" : 

g11-g12-g13-g14

g21-g22-g23-g24
    .........Х.........
g31-g32-g33-g34

g41-g42-g43-g44
------------------------------

g22 + g33 = g55
g32 + g23 = g55
g11 + g44 = g55
g41 + g14 = g55
g21 + g34 = g55
g31 + g24 = g55

 

                                     The RIEMANN TENSOR, the BINOMIAL theorem and the MAGIC NUMBER 55.

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                PASCAL's TRIANGLE and the MAGIC NUMBER 55.

 

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52 minutes ago, nootelepat said:

MILLIONS of mathematicians over the course of 160 years of looking at the metric tensor of the Riemann -- did NOT SEE !

Because there is nothing to see.

https://en.wikipedia.org/wiki/Apophenia

And you still haven’t explained where “the Sun, the Golden section of the Earth” come into it. 

Or even what the “Golden section of the Earth” is.

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