[SinJin]

Phi is the golden ratio, and is found everywhere in life. It is also the ratio between sequential fibonacci numbers, or rather close to the ratio. The larger the numbers in the sequence, the closer their ratio gets to phi. For instance, 3/2 = 1.5, 8/5 = 1.6, 13/8 = 1.625, and so on. Now, the fibonacci sequence says you take a number, add the previous number, and this equals the next number. With that one rule, the sequence goes on indefinately. And so it goes 0,1,1,2,3,5,8,13... You get each new number by adding a number that already exists. However, to start the sequence off from zero, you need to add a 1 which does not already exist. In other words, you can impliment this rule of adding the previous number to the current number to get the new number, and have zero sitting there for a near eternity, but then as soon as you add in that 1 the sequence takes off and doesn't stop until infinity, when the ratio becomes phi. Could this have any relation to the universe? First nothing, and then all of a sudden something happens and it all explodes, unfolding in a sequence of increasing complexity. The big bang is the erruption of the sequence taking off. The toe is the rule that dictates how the sequence plays out. It would also explain how the 1 appears out of nowhere.

[AntonioLao]

Originally Posted by SinJin Could this have any relation to the universe?

Before we attempt to connect sequences of numbers to the universe, we need to make some basic assumptions about the universe itself. Let's start with two basic assumptions.

1. the universe will expand forever.
2. the universe is in a steady state, i.e., it has never expanded, it has never changed, it is the same yesterday, today, and tomorrow.

The first implies continuous change. The second implies no change. There are infinite series of numbers that can be applied to these assumptions. And the varieties can be found among the following series:

1. arithmetic series.
2. geometric series.
3. hypergeometric series.
4. Fourier series.
5. harmonic series.
6. alternating series.
7. telescoping series.
8. power series.
9. Taylor series.
10. asymptotic series, and many more not mentioned.

The importance about infinite series is really a test for convergence or the existence of constants of limits.

[Scoopcone]

Originally Posted by AntonioLao Before we attempt to connect sequences of numbers to the universe, we need to make some basic assumptions about the universe itself. Let's start with two basic assumptions. 1. the universe will expand forever. 2. the universe is in a steady state, i.e., it has never expanded, it has never changed, it is the same yesterday, today, and tomorrow. The first implies continuous change. The second implies no change. There are infinite series of numbers that can be applied to these assumptions. And the varieties can be found among the following series: 1. arithmetic series. 2. geometric series. 3. hypergeometric series. 4. Fourier series. 5. harmonic series. 6. alternating series. 7. telescoping series. 8. power series. 9. Taylor series. 10. asymptotic series, and many more not mentioned. The importance about infinite series is really a test for convergence or the existence of constants of limits.

You may not yet realize it, you just entered a "Post-Einsteinian Universe".

[Guille]

Sinjin,

I had already looked at the possibility of the "appearing 1" to the "appearing universe". It makes a lot of sense. But then we would ahve to be sure of one thing at least: there is ONE and only ONE universe. I agree with this theory because there is no empirical proof, or rational necessity for other universes to exists (apart from dirac's equation, and others, but they are only mathematical necessities).

Now, is there anything that makes the "1" appear? yes, we, humans.

Now, is there anything that makes the "universe" apear? if it's combined to the appearance of the 1, then we must say that entities and individuals of a mayor universe than this universe, created it, maybe some scientists did it in a laboratory, to study the development of the unvierses, and see how their's could have happened. But as we said, there is no reason or observation to tell us this, so, I prefer to do this:

Start the fibonacci sequence directly from number 1. Then you can add 1 to nothing, which is 1. and 1 to 1 which is 2. 2 to 1 which is 3. 3 to 2 which is 5. 5 to 3 which is 8. and so and so.

There is no appearance, it was just an illusion.

[infinity]

PHI is an extremely important idea in understanding some of the mathematical underpinnings of the universe. In my book The Theory Of Everything I discuss how this ratio is used by Nature in the context of waves. Just as waves bounce back and forth between two walls, the Fibonacci sequence is a reflection of what happens when waves move from Point A to Point B and back again. This growth sequence is also used by plants when they 'spiral' 360 degrees as they grow. Read a preview of my book (http://www.lulu.com/content/166271) and let me know what you think. PHI is one of the coolest insights into the deepest mathematical structure of Nature.

infinity~David Labay

[Rufus]

Sorry no big bang at the so-called beginning. There probably was no beginning and the idea of considering a beginning to be caused by some cataclysmic change to a bunch of super dense material is laughable. Where did this material come from? The bounce theory is also silly, that being that the universe recondenses and starts all over again.

Your phi universe has merit though. In art one does not measure. One simply uses rations that seem proper and they all relate to phi.

Namron (Rufus)

[dan winter]

new phi video- phi compression=grail= ability to take memory(charge) thru death
www.soulinvitation.com/realgrail

[harmonygirl]

I did a little bit of research about this and it certainly seems remarkable. I wonder what (if any) relationship it would have to mandlebrot? (particularly because of the natural mathematical occurences?

[dan winter]

mandel brot is how an almond makes bread.. (kneads braiding..
2 phi spirals make an almond..

seriously check the mandelbrot points generated by phi golden ratio
pic at

www.soulinvitation.com/enlightenment

we believe the golden ratio 3 d stellation of dodec is the only possible 3d fractal - therefore the principle of gravity making used by einstein / poincare (perfect collapse

[dleviwing]

Dan;
Do you really believe people are so stupid to accept this hocus pocus science? It falls in line with what used to be called “Pyramid Power”. Your site is 99% sales pitch.