Sunday, January 08, 2012

Riemann Hypothesis Hopefully, Finally, Resolved

Let us assume that all the primes to infinity lie on a horizontal line . While it is acknowledged that the primes lie on this horizontal line to infinity and are in order, we don't know precisely where the primes lie on this horizontal line in terms of their distance from each other. Let us assume that wherever the infinite primes are on the horizontal line at varying distances from each other, we have a vertical line ( y = ½ ) off the horizontal line which forms an upside down “T” ( ! ! ! ! etc. ) . The infinite primes are at the intersection of a vertical line ( y = ½ ) and an infinite line holding all the prime numbers . Riemann said all his zeros are on the line ( y = ½ ) and have a value of ( ½ ) when they are on this line ( y = ½ ) . At the present time we are calculating to prove that all of Riemann's non-trivial zeros line on the line ( y = ½ ) and so far so good . If we can establish that the calculation of the position of these primes use ( ½ ) and Riemann's zero's ( 0 ) , then we have established that Riemann's zeros are all on the line ( y = ½ ) because ( y = ½ ) intersects with the horizontal line holding the infinite primes . Riemann also said his zeros can be added or subtracted or placed in different positions in order to adjust the position of the primes from the beginning of the horizontal line . This adjustment as an integer also establishes the number of primes preceding that prime number .The first prime numbers from 1 to 12 in order are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. If we multiply these numbers by ( .509999999 ) our answer is very close to their actual position ( 23 X .509999999 = 11.72999999 ). The actual position of prime number 23 is 10. There are 9 prime numbers preceding 23 ( 1, 2, 3, 5,7,11,13, 17, 19 ). The prime numbers from position 13 to 26 in order are ( 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 ). If you multiply these primes by ( .509999999 ) you will find that the prime number positions are hugely incorrect. You will see from the “ In summary “ list that I indicated under ( 3. ) that the error term in the prime number theorem is related to the position of the zeros. You can increase the number of zeros by either adding them between ½ and 9 (for instance .5000999999) or by raising ( .509999999 ) to the power of 2 ( .509999999 X.509999999 = ( .2600999 )). You will see from ( .2600999 ) that we have adjusted the error term in the prime number theorem by adjusting the zeros ( 0 ) from one to two. Multiply the prime numbers by ( .2600999 ) to obtain the prime number location.

If you do the multiplication, you will find that some of the prime number locations are still out. For instance, ( 37 X .2600999 = 9.623699981). The actual location is 13. For some inexplicable reason if you add Pi ( 3.141592654 ) to this number you get ( 12.76529263 ). This trick of either adding or subtracting Pi works in the majority of cases. In some cases adding or subtracting the natural number ( 2.718281828 ) also works.

Here’s how the system works for numbers in general.

1. Count the number of digits in a prime number. For instance 7919 has 4 digits. Subtract 1 from the number of digits ( 4 - 1 = 3 ) for 7919. Form another number equal to the number of digits in 7919 ( 4 ) by putting ( .5 ) in the far left column and 9 in the far right column. ( .5—9 ). Fill the middle with Riemann Hypothesis zeros ( 0 ) forming a four digit number ( .5009 ). Raise ( .5009 ) to the power of 3 ( which is the number of digits in 7919 ( 4 ) minus 1 ( 4 - 1 = 3 ). ( .5009 ) ^ 3 = .125676215. Multiply 7919 X .125676215 = 995.2299524. 7919 is the 1000th prime number. The calculation is short by approximately the value of Pi ( 3.141592654 ). Pi + 995.2299524 is 998.3715451 which is very close to 1000.

It can be seen from these calculations that the magnitude of the oscillations of the primes around their expected position is controlled by the zeros ( 0’s) in the multiplier. The error term is closely related to the position of the zeros in the number ( .509999999 ). The error term can be controlled by either adding zeros ( .500999999, .50009999 ) or by raising these numbers to a power ( multiply the numbers by themselves ) thereby increasing the zeros. The power zeros can also be adjusted. For instance (( .5099999999 ) ^2 = (..260099999 )). If we change the digit 6 to zero ( 0 ) creating ( .200099999 ) and multiplying it by the prime number 347 we get ( 69.43469965 ) Prime number 347 is the 69th prime. A further adjustment can be made by adding or subtracting Pi ( 3.141592654 ) or the natural number “e” ( 2.718281828 ).thereby creating a range if the calculated answer is close but too far out.

In Summary:

1. ( .509999999 ) may be adjusted using Riemann zeros.

2. ( .509999999 ) may be raised to a power to increase the zeros.

3. ( .509999999 ) raised to a power may have its' power zeros adjusted.

4. Tweaking can be done by adding or subtracting Pi or “e”.

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Saturday, January 07, 2012

Primes, Fractions & The Riemann Hypothesis

The Riemann Hypothesis involves an understanding of fractions . The largest fraction you can have is ( ½ ) or ( .5 ) . This may seem counter-intuitive, but to prove it simply subtract any ( 1 / number ) fraction from ( ½ ) and you will end up with a positive fraction . The Riemann Hypothesis uses the formula ( 1 + ½ ^s + 1/3 ^s + ---- ) to infinity . In this formula you have ( s = ½ + it ) . You may be familiar with calculus , but if you aren't calculus is concerned with how close you can get a fraction to a number without actually touching ( reaching ) the number. This getting close as a numerical figure is called a limit . You can think of it as how close you can get your nose to a brick wall without touching / hurting your nose . If you add fractions to infinity, you will find that the distance from ( ½ ) becomes smaller and smaller . If you add fractions to infinity that have been raised to a power, you will find that the distance from ( ½ ) is closer to ( ½ ) then by simply adding unraised fractions . Since the distance from ( ½ ) is getting closer, you can think of all the added fractions as getting closer to the line ( y = ½ ) . You may not know this, but if you raise a fraction to the power of zero ( 0 ), you get one ( 1 ) ( ½ ^0 = 1 ) . Zero ( 0 ) functions more as a placeholder than a value . Of course, you can argue that if you don't have anything you have something which is zero ( 0 ) . If the raised fraction to a power is getting closer and closer to ( ½ ), then the power to which it is being raised is getting closer and closer to zero ( 0 ) since ( ½ ) raised to the power of zero ( 0 ) is one ( 1 ) which means in the extreme ( ½ ) doesn't change because it becomes one or itself ( think philosophically here ) . One of the problems in mathematics is that you can't graph zero . You can, of course, draw a line and say this is line zero ( 0 ) meaning something you are considering starts here . If the power to which a fraction ( ½ ) is getting closer and closer to zero ( 0 ), then that zero ( 0 ) is getting closer and closer to ( ½ ) which is on the line ( y = ½ ) . Therefore it can be argued that zero ( 0 ) has the value of ( ½ ) on the line ( y = ½ ) . This is what Riemann said. Calculations have been done and continue to be done to prove that Riemann's zeros ( 0 ) lie on the line ( y = ½ ) and so far, so good. Riemann also said that his zeros ( 0 ) had something to do with primes . A prime is a number that can only be evenly divided by itself and one ( 1 ) . He also went on to say that the zeros can be manipulated ( positions changed or zeros added ) in order to get the primes closer to their true location. If we can calculate the location of a prime, we know how many primes precede it because the primes would be in order . To state the obvious , the position of any prime in a series is less than the prime itself. For instance, the first one ( 1 ) digit primes are 1, 2, 3, 5, 7 . The primes ( 1, 2, 3 ) are in the positions ( 1, 2, 3 ) . The primes 5 and 7 are in positions 4 and 5 . The primes ( 1, 2, 3 ) can be multiplied by one ( 1 ) ( 1 X 1, 2 X 1, 3 X 1 ) to get their true position ( 1, 2, 3 ) . If we multiply prime 5 by .9099 we get ( 5 X ..9099 = 3.63996) which is mathematically close to 4 . If we multiply prime 7 by .70999 we get ( 7 X .70999 = 4.96993 which is mathematically close to 5 . These zeros ( 0 ) are Riemann zeros .

Obviously, you can diddle the multiplier any way you want to get the answer, but since we are dealing with the Riemann Hypothesis , Riemann zeros and the number ½ on the line ( y = ½ ) it generally works like this:

The first prime numbers from 1 to 12 in order are 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31. If we multiply these numbers by ( .509999999 ) our answer is very close to their actual position ( 23 X .509999999 = 11.72999999 ). The actual position of prime number 23 is 10. There are 9 prime numbers preceding 23 ( 1, 2, 3, 5,7,11,13, 17, 19 ). The prime numbers from position 13 to 26 in order are ( 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 ). If you multiply these primes by ( .509999999 ) you will find that the prime number positions are hugely incorrect. You will see from the “ In summary “ list that I indicated under ( 3. ) that the error term in the prime number theorem is related to the position of the zeros. You can increase the number of zeros by either adding them between ½ and 9 (for instance .5000999999) or by raising ( .509999999 ) to the power of 2 ( .509999999 X.509999999 = ( .2600999 )). You will see from ( .2600999 ) that we have adjusted the error term in the prime number theorem by adjusting the zeros ( 0 ) from one to two. Multiply the prime numbers by ( .2600999 ) to obtain the prime number location.

If you do the multiplication, you will find that some of the prime number locations are still out. For instance, ( 37 X .2600999 = 9.623699981). The actual location is 13. For some inexplicable reason if you add Pi ( 3.141592654 ) to this number you get ( 12.76529263 ). This trick of either adding or subtracting Pi works in the majority of cases. In some cases adding or subtracting the natural number ( 2.718281828 ) also works.

Here’s how the system works for numbers in general.

Count the number of digits in a prime number. For instance 7919 has 4 digits. Subtract 1 from the number of digits ( 4 - 1 = 3 ) for 7919. Form another number equal to the number of digits in 7919 ( 4 ) by putting ( .5 ) in the far left column and 9 in the far right column. ( .5—9 ). Fill the middle with Riemann Hypothesis zeros ( 0 ) forming a four digit number ( .5009 ). Raise ( .5009 ) to the power of 3 ( which is the number of digits in 7919 ( 4 ) minus 1 ( 4 - 1 = 3 ). ( .5009 ) ^ 3 = .125676215. Multiply 7919 X .125676215 = 995.2299524. 7919 is the 1000th prime number. The calculation is short by approximately the value of Pi ( 3.141592654 ). Pi + 995.2299524 is 998.3715451 which is very close to 1000.
It can be seen from these calculations that the magnitude of the oscillations of the primes around their expected position is controlled by the zeros ( 0’s) in the multiplier. The error term is closely related to the position of the zeros in the number ( .509999999 ). The error term can be controlled by either adding zeros ( .500999999, .50009999 ) or by raising these numbers to a power ( multiply the numbers by themselves ) thereby increasing the zeros. The power zeros can also be adjusted. For instance (( .5099999999 ) ^2 = (..260099999 )). If we change the digit 6 to zero ( 0 ) creating ( .200099999 ) and multiplying it by the prime number 347 we get ( 69.43469965 ) Prime number 347 is the 69th prime. A further adjustment can be made by adding or subtracting Pi ( 3.141592654 ) or the natural number “e” ( 2.718281828 ).thereby creating a range if the calculated answer is close but too far out.

In Summary:

1. ( .509999999 ) may be adjusted using Riemann zeros.

2. ( .509999999 ) may be raised to a power to increase the zeros.

3. ( .509999999 ) raised to a power may have its' power zeros adjusted.

4. Tweaking can be done by adding or subtracting Pi or “e”.

Labels: ,

Thursday, January 05, 2012

Fractions & The Riemann Hypothesis

The Riemann Hypothesis involves an understanding of fractions . The largest fraction you can have is ( ½ ) or ( .5 ) . This may seem counter-intuitive, but to prove it simply subtract any fraction from ( ½ ) and you will end up with a positive fraction . The Riemann Hypothesis uses the formula ( 1 + ½ ^s + 1/3 ^s + ---- ) to infinity . In this formula you have ( s = ½ + it ) . You may be familiar with calculus , but if you aren't calculus is concerned with how close you can get to a fraction without actually touching ( reaching ) it . This getting close as a numerical figure is called a limit . You can think of it as how close you can get your nose to a brick wall without touching / hurting your nose . If you add fractions to infinity, you will find that the distance from ( ½ ) becomes smaller and smaller . If you add fractions to infinity that have been raised to a power, you will find that the distance from ( ½ ) is closer to ( ½ ) then by simply adding unraised fractions . Since the distance from ( ½ ) is getting closer, you can think of all the added fractions as getting closer to the line ( y = ½ ) . You may not know this, but if you raise a fraction to the power of zero ( 0 ), you get one ( 1 ) ( ½ ^0 = 1 ) . Zero ( 0 ) functions more as a placeholder than a value . Of course, you can argue that if you don't have anything you have something which is zero ( 0 ) . If the raised fraction to a power is getting closer and closer to ( ½ ), then the power to which it is being raised is getting closer and closer to zero ( 0 ) since ( ½ ) raised to the power of zero ( 0 ) is one ( 1 ) which means in the extreme ( ½ ) doesn't change because it becomes one or itself ( think philosophically here ) . One of the problems in mathematics is that you can't graph zero . You can, of course, draw a line and say this is line zero ( 0 ) meaning something you are considering starts here . If the power to which a fraction ( ½ ) is getting closer and closer to zero ( 0 ), then that zero ( 0 ) is getting closer and closer to ( ½ ) which is on the line ( y = ½ ) . Therefore it can be argued that zero ( 0 ) has the value of ( ½ ) on the line ( y = ½ ) . This is what Riemann said . The Riemann Hypothesis says that all the non-trivial zeros ( 0 ) are on the line ( y = ½ ) ( along with all the fractions added to ( ½ )).

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Saturday, December 31, 2011

Fast Calculation Of Prime Numbers

1. Take any number which is a multiple of 9 starting at zero ( 0 ) ( 0, 9, 18, 27, etc. ) .

2. Add 1, 2, 4, 5. 7, 8 to the number so that the first column of the number ends in ( 1, 3, 7, 9 ) . For example ( 11, 13, 17, 19 ) .

3. Test to see if it is a prime . A prime number is defined as being only evenly divisible by itself and 1.

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Sunday, December 25, 2011

Time Is Gravity, Entropy, Chaos In Disguise

Gravity appears to us as a weak force, but it is really the effects of time in disguise. Einstein said that mass bends space around the mass and that mass and energy are the same thing in two forms. The more that the mass / energy flexes the space string, the greater the gravity which is seen by us as a force . Time follows the flexed space string at differing velocities depending on the amount of flex in the space string near the mass / energy . Time has a numerical value of nine ( 9 ) and can be broken up into 9 segments ( 1/9 ). The 9 segments can have different velocities and can effect what happens. We can see this phenomena in our own life. Each of us, have adventures in life which may appear spontaneous or random . The things that happen to you or I aren't always at the same time. This is because the energy around us is flexed arbitrarily by either outside , random , or self induced actions that flexes the energy string . If you and I experience the same thing, the length of time may be different because the time segments travel at different speeds. In addition, if something bad happens, it usually follows in units of three ( 3 ), because the universe runs on the number three ( 3 ) and tries to stabilize around the number three ( 3 ) when things get out of whack.

In summary:

1. Mass
2. Weight
3. Time

are all related to space strings. If the space strings flex, time follows the flexed string at different velocities and we see the effects of this flexing as gravity if a mass is involved or entropy / chaos if a mass isn't involved but the results are mild or severe.

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Friday, December 09, 2011

Being Good

I got to thinking about being good. For most people, the connotation of being good is equivalent to having a dull and boring life. Most religions stress the need to be good in life and to help others. I also got to thinking about God or in other words the person who designed this universe so you and I would have a reasonable chance of survival. Looking at it from a science perspective it suddenly occurred to me, that being good is necessary to survive. Our universe is filled with energy and mass. Einstein said that energy and mass are equivalent which means that energy and mass can be converted from one to the other and back again. String theory says that all the energy is basically in the format of a string. A vibrating string in a loop gives the mass including us its' properties and behavior. A flexed string around a mass, such as the earth gives the earth its' gravity. The wind or other force is simply strings of energy or mass in motion. Velocity or acceleration is just a form of rolled up energy string ( think car here ) disturbing the energy fields as the mass ( car ) moves along. You and I are essentially a mass doing its' own thing by moving in a space occupied by strings. If we design something such as a car we have to round out its' rough edges so it won't cause any disturbance to the energy strings commonly known as turbulence. Similarly we want to round out our own rough edges in order to be acceptable to other people. Time in our universe is just energy that is still creating strings of space from dark energy and dark matter as it moves in a forward direction. Sometimes dark energy and dark matter break off from time before it gets converted into space. This broken off dark energy and dark matter sometimes brings disaster to ordinarily good people. This is the chance that keeps our world from getting too dull.

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Wednesday, November 30, 2011

The Quantum World

The quantum world is made up of individual particles that don't have to travel through space to go somewhere. This world looks like foam continuously bubbling away. Travel in the quantum world is through the action of cloning, superposition and entanglement. Cloning is the method by which the individual particle reproduces itself at new locations. Superposition means that more than one particle can occupy the same space at the same time because space hasn't a physical reality in the quantum world. Quantum particles don't have to travel through space to get from A to B because space doesn't exist. Entanglement is the method by which a particle transfers information from one point to another point . A quantum particle can bubble many copies of itself at the same approximate location. This means that the bubbling quantum particle at the new location forms a cloud. This cloud may also appear as a wave which we can measure. We can also measure the position of the quanta, but we can't do both measurements at the same time. Different quanta may come together to form units of something else. If these quanta can't be separated out then we say a strong nuclear ( cloud ) force exists between them. This strong nuclear ( cloud ) force can also be considered as an unbreakable wave. If these quanta can be separated out in a reaction then we can say it has a weak nuclear force and a breakable wave that forms relationships with other quanta. Sometimes quanta form a rotational cloud with each other and these clouds carry plus and minus charges. These are your electromagnet quanta forces.

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