8/2/12

Ishango Bone of Zaire/Uganda and the Prime Numbers

 In 6500 B.C. someone evidently carved several prime numbers on a bone and it was discovered in 1960. Some speculate the bone may be as old as 20,000 b.c. It was found in Central Equatorial Africa along Lake Edward near the present Uganda-Zaire border. Lake Edward is one of the head-water sources of the Nile. One wonders if that isn't where Arthur C. Clark's real mathematically inclined humans where from carving prime numbers into a baboon femur.


 Obviously one wonders what happened to those early mathematical genius'. Did they wander to New York to become 11 dimensional quantitative stock traders or where they aliens that returned to the shining planet above the hill leaving only a grisly bone scratchpad toy from their hunting party?
 A prime number is any integer that cannot be made by multiplying two other numbers to form it. All numbers that are not prime can be made by multiplying prime numbers together. I suspect that all prime numbers if divided in half end up with a .5 on the end, yet not all numbers cut in half with a .5 portion are prime.
 All numbers are proportions formed by adding one standard integer unit to the number before and forming the next higher number.  Positive whole numbers have different quantitative values in various reference frames.
 As numbers increase in size the difference of adding one more standard unit becomes a diminishing comparative value to preceding numbers. Adding 1 to 2 is large. Adding one to 100 is less significant to 100.
 One could imagine stretching a ribbon or line representing the number value from a point and then looping it back to the starting point. If one cuts that loop in half (divides the prime number in half) it should always have a value with .5 A possible defining characteristic yet not an exclusive one. There are numbers such as 15 that if cut in half have a .5 element (7.5), yet it is also possible to multiply 3 times 5 to get 15. A prime number cannot be multiplied by other numbers to generate it (with the obvious nominal representation of 1 times the prime number itself).
 Mathematicians have a better cultural tool kit to use for  finding prime numbers than I.
 Numbers growing into a spiral that extends infinitely might take different values retrospectively as relativistic effects stretch or compact the spiral-perhaps not equally everywhere on the spiral. One wonders if dark energy or gravity might not be a consequence of differentials of physics in structures that change space-time proportionately to primes.
 Prime number locations that would theoretically exist could be altered with the forces acting upon the spiral, and with recombination of local position values through extra-dimensional junctions.
 The subject of prime numbers and of the quest to solve the riddle of how mathematicians might solve Reimann's Hypothesis-a method to determine all of the prime numbers I suppose through algorithmic compresability (an abbreviated style) is the topic of a book I am presently reading called 'The Music of the Primes'. The uninteresting ideas I've advanced here except for the Ishango Bone mention aren't blamable on that text.
 What if gravity is shaped in relation to prime numbers. Gravitational field strengths could rise in relation to some subtle proportion that is dilated in space-time that it warps. It would be great if one could solve that sort of criterion for primes much less gravity yet it does stim one to think a little more.
 What if gravity, gravitons or gravity string quanta can only act in three or four dimensions and when piling up on the dimensional boundaries crimp up space-time warping it? Dimensions in some string and membrane conjectures are not all of the same size, so an inference can be advanced rightly or wrongly that some dimensions are porous to gravity and others not. If gravity warps up some dimensions of space-time yet not all, it might be possible to slip small enough data through to the extra dimensions should one want to send a message to Sally over there (if that is where Sally is).



I neglected to mention two salient salient facts about prime numbers.

 First; the number two is prime because of default. There isn't another number less than two amidst whole numbers that amounts to anything besides itself when multiplied by available whole numbers of those before two - one times one equals one. So two is the sole even number that is prime. It's a prestigious title for that humble number to wear-the only even prime amidst an infinite number of oddballs.

 Well, enough trash talking of two.

The second fact I didn't mention is that there is a million dollar bounty on solving the Riemann Hypothesis with a proof. It is one of the seven Clay Millennium math prizes the solutions of which are worth $1 million dollars apiece.

Stimulated a little by the prospect of winning a million can bring creative ideas. Non-mathematicians such as myself might find it simpler to visualize possible solutions to the Riemann hypothesis instead of calculating them.
I guess one could imagine the infinite series of whole numbers being in descending rather than an ascending order. Consider numbers starting at a zero ring level attached and increasing down an infinite line into an abyss. Maybe the ring has an infinite number of lines descending from it along the edge with vast intervals between them so they won't get tangled with experimental configurations or instructions given to each line to direct its shape.

In the first line hanging from the ring each at every prime number except for two (that will be treated as non-prime for practical reasons) instructions are given to the line to make a turn in some direction in proportion to the percent of change the prime number makes from the prior number to the value of the line total at its point.

That sort of schematic might make a nice pattern. With an infinite number of lines with prime numbers known extending to some computer-friendly extent that is finite, and with those lines given different instructions for changing course when reaching a prime it might be possible to effect quantitative analysis of the lines and perhaps find a pattern indicating a value predicting the location of primes in the future like Jack Ryan predicted Capt. Remus' turns in 'Hunt for Red October'.

Jesus had 12 disciples to start; yet one was pre-destined for betrayal so He was left with the prime number of eleven. Some might say that The Lord and Judas Iscariot needed to be included as the original number of associated religious practitioners; even so that number is also prime at 13.

The 0 ring of prime number series might have line intervals based on the first prime's 50% quantitative value increase for the whole line a that point, instead of placing the lines at the location of respective primes. It could be that if prime numbers are used as locations for place whole number lines into the abyss they will grow to close together along the circle and cramp infinite spacing soon crossing over into the realm of irrational numbers behind a decimal point with their own significance for finding the proof for the Riemann hypothesis.



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