View this on Scribd
Would Prof. Iovane please scroll to page 117 and look at the paragraph right above Fig. 10. The Fibonacci numbers F sub n are an increasing sequence, as you know. And the pi function, which is the number of primes not exceeding its argument, is a non-decreasing function. Consequently pi (F sub n) / pi (F sub (n+1)) is less than or equal to one for every n. My question, Prof. Iovane, is how that ratio can have limit Phi = (1 + sqrt 5 )/2 = 1.618... which is greater than 1? And you did mean 1.618... and not its reciprocal 0.618, because you referred to  for the definition of Phi. Check  for yourself if you like.
Also, you call that ratio "the ratio between the number of Primes [sic] contained between two consecutive Fibonacci numbers". Not only is that wrong mathematically, it doesn't even work as a sentence, because a ratio requires two numbers -- a numerator and a denominator -- and you have specified only one. You will presumably claim you meant the reciprocal of what you wrote, but that will not fix this problem.
Finally on that same page you say
Fig. 10 shows a fractal Universe based on the power law introduced by (GI) and so based on the "Golden Mean".
Figure 10 shows a circle with some swirly colors in it, and is captioned
Fig 10: a fractal universe based on the "Golden Mean" law
Do you think that is an adequate explanation for Fig. 10 in a scholarly article? Where did that picture come from? Who made it? What do the colors represent? Why are there no axes or labels of any kind?
And most importantly of all, I'd like to know why the infamous crackpot and citation scammer Mohamed El Naschie whose pseudoscience you frequently cite with approval, uses the exact same picture as a header decoration on one of his Web sites?
Posts about Prof. Gerardo Iovane:
- El Naschie Watch readers on Gerardo Iovane
- Thilo Kuessner on Gerardo Iovane, and more
- Questions for Gerardo Iovane on his work
- Gerardo Iovane and the 2010 Leonardo Prize
- Prof. Gerardo Iovane to call Interpol, Internet cops
- Gerardo Iovane's math PhD: Cantorian space-time
- Report on Brotherhood member Gerardo Iovane
- Gerardo Iovane and Leonard J. Malinowski in CSF