In the background Mr. McCanney continued working on the illusive mathematical problems facing celestial mechanics, that is, the unknown method of solving simultaneous differential equations. He believed that nature had provided a simple but elegant method to solve these complex problems that did not exist in current mathematical capabilities. He envisioned a mathematical technique that would be applied and reapplied to generate a final solution. In this respect, many unsolved problems of mathematics and quantum mechanics and even genetic molecular structures would have their solutions in this new mathematical technique.
His search lead to a technique that is the basis for the discovery of the solution to the prime number problem presented in this book, and which now holds promise at solving some of the great mysteries of Quantum Physics as well as Genetics. It is based on the “Mathematical Operators” that the Professor calls “Generator Functions”.
These mathematical expressions operate on fundamental units or building blocks of nature such as the numbers 0 and 1 (as in the case of the prime number solution in this book) or atomic nuclei (in the case of quantum mechanics) or atoms and small molecules (in the construction of large organic molecules or genetic structures). According to Mr. McCanney, “the Generator Function is an operator that reflects conditions in nature, it builds up a first layer when applied to the basic building blocks, and then is applied to this construct to form a second more complex structure. The same Generator Function is then reapplied to this result and the process continues, with each successive application modifying the prior set of results”.
This leads to questions that are being asked for the first time. For example in genetics, could the makeup of the human biped be not only duplicated somewhere else in the universe, but is the norm rather than the exception based on “Generator Functions” that operate on the building blocks of life. Could this pattern be replicated on the far side of the universe just as a diamond would appear the same in such a distant place?
On a simpler note, as the prime numbers would be discovered by intelligent beings on the far side of the universe, they would follow the same mathematical Generator Function that we would discover here on earth. The implications of this new mathematical technique may someday very well overshadow this initial application and the discovery of the formula for directly calculating the prime numbers to infinity as presented in this book and DVD lecture (Appendix I contains the original mathematical treatise).
An essential aspect of the Generator Function concept is that it creates intermediate or “false” solutions that are necessary steps to generate the final correct solution. This is possibly but one of the reasons why so many mathematicians have worked around the prime number problem without finding a solution, as they failed to see the total picture as presented in this book. Countless mathematicians have come to the conclusion that that prime numbers are random with but passing patterns. This book proves that to be incorrect. When you finally look at the prime number table and see why every number is there and how it is related to all the other primes, with all of their “ancestors” bridging back to the numbers 0 and 1, you will understand the powerful impact this book will have on the future.
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