Planck and Phi

Please take a look at this.  Never again can anyone say that the Fibonacci Series is just "flim flam".

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Table 1:  Plus Powers of Phi.  **notice column 3!





Table 2:  Minus Powers of Phi



Remember the Cosmic Ouroborus of a recent post?
10 to the Power minus 33 cm is the smallest length,  the Planck length.

Table 2 shows  Phi   ie 1.6180340  (from the Fibonacci Series),
calculated for Powers to minus numbers.
***Phi to the power minus 33 is 0.0000001,
***Phi to the power minus 34 is zero

Phi to the Power 1 is 1.618034
Phi to the Power 0 is 1
Phi to the Power -1 is 0.618034,  etc... all the way to -33 power...
This is what happens between 1 and 0.

I guess this limit is due to 8 digit calculator.
I wonder what a supercomputer might do.
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You can also see how the calculations
almost follow the Fibonacci Series
(x 10 to power minus 7)
from F34 and continuing on back to F1.

They are exact at 0.0000001, 0.0000002, 0.0000003, 0.0000005, 0.0000008....
That is what alerted me when I saw this.  I was amazed and excited!

The calculations correlate with the Fibonacci series,  true to a ratio of 1.08372.

Table 3:  Ratios:  Digits for Minus Powers of Phi, to the closest Fibonacci Number

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