Friday, November 16, 2012

Our Real World & The Quantum World Compared


Space and Time exist in our real world as well as in the quantum world . Space in our real world has ( x, y, z ) dimensions. Time in the quantum world has past , present, future . Time in our real world is used as a marker representing the past, present and future but you can't physically travel through or along it in all directions . Velocity or speed measures distance or space traveled in units of time which are essentially a marker , marking out distance. Acceleration or increase in speed measures increasing distance or space in units of time which are essentially a marker, marking out increases in distance traveled . Space in the quantum world is used as a marker in all directions but you can't literally travel through it . Gravity in our real world is used to anchor things in space by bending strings of space. Strings of space are usually bent around masses such as the earth, thereby creating gravity which we see as weight. Gravity in the quantum world is essentially past, present and future time anchored in one place because travel through space doesn't exist . Since travel through space doesn't exist in the quantum world, travel is managed by the processes of entanglement, superlocation, and superposition. Superposition shows all the states, possibilities and information at the same time in the past, present and future in the same location. Superlocation means that the past, present and future can exist at the same physical location because travel through physical space doesn't exist in the quantum world. Since travel through physical space doesn't physically exist in the quantum world more than one thing can exist at the same spot or location in the past, present and future. This is quantum gravity as it relates to quantum time . In other words, this means that the past, present and future all co-exist at the same time at the same spot or location in the quantum world. The existence of superlocation and superposition means that everything that is knowledge ( states, possibilities and information ) exists at one superlocation all at once in the past, present and future. Travel in the quantum world is done through a process called entanglement, because the quantum world can't move through physical space because travel through physical space doesn't exist . If I have a past, present and future quantum particle here and another past, present and future quantum particle over there, I can entangle my past, present, future quantum particle with the other past, present, future quantum particle to make both particles have the same states, possibilities, and information at the same time in the same past, present, future. This process of entanglement of two quantum particles also involves quantum time acting relativistically in the past, present and future. Time from a relativistic viewpoint means that if I do something in the quantum world, I also do it in the present, past and future at the same time because travel through physical space doesn't exist. Paradoxically, if someone comes along and chooses my quantum past, my quantum past becomes his / her quantum present because he / she chose it in his / her quantum present. This also means that he / she can relativistically travel through quantum relativistic time into someone else's past and future. If he / she altered my quantum past / present / future, his / her quantum past / present / future would also be altered because he / she and I are relativistically linked in relativistic time. This means that someone cannot realistically travel through relativistic quantum time to destroy his / her grandfather without wiping out his / her relativistic existence. The final mind blower is that someone's quantum present can alter my quantum past so in essence someone's present “cause” interrupted my past effect, which means that in the quantum world effect can precede cause.    

Sunday, November 11, 2012

The Weird Riemann Hypothesis


Sometimes in life, you stumble across something that holds more meaning than first meets the eye. Meeting your future husband or wife for the first time and not realizing it is a good example. Mathematically, Dirac's equation is probably the most famous something. Dirac had the ability to visualize an equation in terms of geometry . Dirac came up with an equation that was more insightful than he first realized which you can look up in the Internet . Riemann's something was when it was realized that his zeta function said that the magnitude of the oscillations of primes around their expected position is controlled by the real parts of the zeros of the zeta function . You and I can read the words but what is the meaning without repeating the sentence as an answer ????

Numbers basically break down into the following three areas:

  1. Rational
  2. Imaginary
  3. Irrational
    Rational Numbers have a beginning and an end. Examples of rational numbers are ( 1, 2, 3, 4 ) . Imaginary numbers are numbers such as the square root of ( - 1 ) ( -1 ) . Irrational numbers have a beginning but no end, and seem to go on forever. Examples of Irrational numbers are Pi, “e” or Euler's number . It suddenly occurred to me that when it was realized that Riemann's zeta function said that the magnitude of the oscillations of primes around their expected position is controlled by the real parts of the zeros they were really talking about irrational numbers except that these irrational numbers were governed by zeros in the digits of the number . If you put all the prime numbers on a straight line and numbered them, you'd know their location on that straight line . Of course this is impossible . If Riemann's zeta function said that the magnitude of the oscillations of primes around their expected position is controlled by the real parts of the zeros there is an implication that an irrational number controlled by the placement of zeros ( 0 ) in the digits when multiplied by the prime number would indicate the true position of the prime on that line and by extension all the primes that preceded it . If you multiply a number by an irrational number that has a beginning and no end you will soon see that you get different answers. Riemann also said that all his non-trivial zeros had a value of ( ½ ) which seems odd when you think about it . How can a zero have the value of ( ½ ) ???? Exercising our imagination, which seems to be as temporarily irrational as is our theme, it seems that every time a zero is on Riemann's line ( y = ½ ), it has the value of ½ . If you are also looking for a major brain freeze, you can also say that if all the primes are placed on the line ( y = ½ ) from 1 to infinity they also have the value of ( ½ ) . Weird as it may seem, we are busy finding non-trivial zeros on the line ( y = ½ ) that have a value of ( ½ ) because they are on the line ( y = ½ ) . Consequently, we now have primes and zeros on the line ( y = ½ ) which all have the value of ( y = ½ ) because they are on the line ( y = ½ ) . A prime is a number that can only be divided by itself and one ( 1 ). The position of the primes from ( 1 to 31 ) can be calculated by multiplying the primes ( 1 to 31 ) by ( .509999999 ^ 1). From ( 37 to 97 ) the primes can be multiplied by ( .509999999 ^ 2 ) to keep the calculated distance close to the actual distance. This is how it works in principle by manipulating zeros ( 0 ) and the addition or subtraction of two irrational numbers Pi and “e” .


Sunday, November 04, 2012

For Every Zero Crossing Riemann's Line ( y = ½ )


Sometimes in life, you stumble across something that holds more meaning than first meets the eye. Meeting your future husband or wife for the first time and not realizing it is a good example. Mathematically, Dirac's equation is probably the most famous something. Dirac had the ability to visualize an equation in terms of geometry . Dirac came up with an equation that was more insightful than he first realized which you can look up in the Internet . Riemann's something was when it was realized that his zeta function said that the magnitude of the oscillations of primes around their expected position is controlled by the real parts of the zeros of the zeta function . You and I can read the words but what is the meaning without repeating the sentence as an answer ????  


Mathematics basically breaks down into the following three areas:

  1. Numbers.
  2. Symbols.
  3. Lengths
    Numbers can represent anything. Symbols such as x or y are usually equal to something which is up to you to discover. These symbols may be in a formula expressing relationships which are familiar to anyone that has ever studied algebra. These relationships in algebra are generally a static value as only one numerical answer is needed. Lengths are usually the distance from the beginning of something. An example of this concept is the measurement of a board before you cut it with a saw. The Riemann Hypothesis also hints at the concept of length as it relates to the number of primes. A prime is a number that can only be divided evenly by itself and one ( 1 ) . The five ( 5 ) single digit prime numbers are ( 1. 2, 3, 5, 7 ) . Riemann came up with the formula ( s = ½ + it ) that related to another formula. Without filling in the background, the Riemann Hypothesis implies that if the zeros consistently cross the line ( y = ½ ) in relation to the formula ( s = ½ + it ) then these zeros have something to do with the distribution of primes. There is an implicit idea here that every crossing of a zero on the line ( y = ½ ) is related to the position of a corresponding prime from the beginning of the line ( y = ½ ) to the end of the line ( y= ½ ) at infinity. Theoretically, if the values of Riemann's formula were chosen correctly, the calculation of the zeros crossing the line would give you the distance of a known prime from the beginning of ( y = ½ ) . This means that if the location of the zero crossing the line ( y = ½ ) were accurate that location would correspond with the position of a prime on the line ( y = ½ ) . Riemann's formula is really a disguised calculus problem using zeros ( 0 ) to adjust the placement of a prime on the line ( y = ½ ) . In other words, if you adjust the zero in a mathematical expression how close can you get the relevant known prime to its' actual position on the line ( y = ½ ) ???? This position calculation would give you the number of primes from the beginning of the line ( y = ½ ) . My previous blogs on this topic will give you an idea as to how the calculation is done. Calculus, using symbols, is the study of the change in the length of a formula containing symbols that change in length. One of these symbols is ( c ) which represents a constant ( whole number ) which never changes. The accepted length of a constant ( c ) in calculus ( d (c)) is zero ( 0 ) but that isn't correct because Riemann's intuition told him that the zeros which are also a constant had a real value of ( ½ ) on his line ( y = ½ ) consisting of primes. The actual length of any ordinary constant is the sum of its' digits. 47 would have a length of 11 or 2 ( 4 + 7 = 11 ) or ( 1 + 1 = 2 ).