that if Phi to minus Powers has an Equation related to the Fibonacci series,
then it must follow that Phi to plus Powers would have a similar Equation.
Just by looking at the following Tables one can see
that Phi to the Power n is related to the half Fibonacci Series!
Next I related the Powers of Phi to the Half Fibonacci numbers:-
The ratio is 0.947217 or very close to this....
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I decided to calculate the other way, to be more in line with the minus powes equation:-
The ratio is inverse to above, that is 1.055727
For a while I thought it was really close, that last one----7881193 but it was equiv to 7811356
(not 78811......!). Must be honest...not exact, but awfully close- only 70000 out! but at those huge numbers I'd have to study it further--- this is all I have the energy to do.
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Correction 6/2/2013----the error was one of simple transcribing---
I recalculated 0.5278639 x 14930352, = 7881193.8
and that is almost exactly equal- only 0.1 difference from phi to power 33!
You get a different result if you use 0.52786395, or 0.527864 or 0.52786
I used the result one gets on the calculator ie 0.5278639
We could do the same calculations all over the Fibonacci Series but if the number is larger than 8 digits we are unable to use calculator- we need to do long manual multiplications.
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What it all means, I have no idea. From my reading on the Fibonacci series there may be an application in space travel or consciousness; see http://www.crystalinks.com and fibonacci. there is an excellent picture of the brain.
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There is an article in http://mindscapemagazine.com
that is, "Torsion: The Key to a Theory of Everything - including Consciousness" by BrendanDMurphy.
from Myshkin to Einstein to Nassim Haramein.
This is the track I'm on. Torsion is part of it. Psi and Phi.
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