Dear Vivek,

what´s your problem with some special numbers which all well introduced people will give the reputation they have?

Pi:

The circle is an ideal. Every ideal circle has the same result in circumference / diameter, as you pointed out.

`Towards´ isn´t equal.

Square and cube are also ideals; would you put them away from geometry?

Golden ratio:

Without comment because I am not very well `in the topic´.

Prime:

To be prime is a property of a natural number.

I don´t understand your question about primes.

It doesn´t matter in which relationship these naturals are been used for.

Galaxies:

Galaxies — how many of all ever — doesn´t have a spiral structure. `Spiral´ only is the reduced property of a 2-dimensional picture of them. They whirl. A spiral path of a star of a so called spiral-galaxy is a hypothesis (which I wold agree). But it must be proofed.

e:

Could you explain why `e´ could explain expansion? I thought it was by redshift.

But more constructive to your question:

Everything in mathematics has to have a relationship to nature (isometry).

Then and only then mathematics is a natural science and may be used for physical problems without contradictions (as I found out).

Please look at my homepage (www.mathe-neu.de). There are some papers also given in English. We may have a good conversation basing on your questions and my research (physical leading mathematics), done so far.

Galaxies:

In my opinion (so far only in German at my homepage) the whirl-form of a galaxy follows the form of Globular Clusters in time. Chaos-Theory forbids stars to go the same way back to the centrum of supernova-explosion, where they come from.

By that the relationship of the sum of youngest supernova-explosions and Globular Clusters to Spiral Galaxies indexes the relative age of the universe.

Cheers, Peter

Dear Peter,

Please read about the golden ratio and Archimedes spiral also and I am not ignoring other geometry structure because all the mathematics are correlate somewhere and I have tried to show my view about the numbers and I dont have any problem

Dear Vivek,

If you don´t have a problem so it´s me. Then I don´t understand your question.

What do you mean by `natural mathematics´?

How the analysis is written which explains your assertion?

Vivek:

quote on

"The prime numbers makes a similar to spiral like structure”

quote off

How do you define that?

Pi:

Let´s go backwards (or unusual).

Define the circumference as to be 1 (in number (of amount)). Now the diameter stays in connection to Pi.

See: All these strange numbers (of amount) which are called irrational (= not commensurable) are by their own measures.

Like sqrt(2) is a one. And that number (measure) is fundamental for the order of matter in crystals (for example). So in relationship to the nature — or not?

Golden Ratio / Fibonacci:

That doesn´t tell me more than scientists found out. By that we have a series which often is used in nature (what chemical or biological law ever).

Archimedes spiral:

What should that tell me, what I can read?

To find a formula for the square of a circle was a great work — and what else?

Cheers, Peter