## For Aspiring Quantum Physicists - Wave Particle Duality and Uncertainty Principle Redefined by Fractal Gear Theory

**First wave Particle Duality:**

There exists a fundamental identity equation in physics that says , (wavelength x momentum) = (plancks constant) .... So what it means is if one decreases the wavelength , the momentum increases. It's real simple right? The fundamentals of Quantum Physics are actually very simple. So ....by that simple formula shorter wavelength in Fractal Gears corresponds to more fractally dense Fractal Gears (greater number of wave peaks).... OK. If you have a Fractal Gear with more wave peaks the number of times it changes direction per second is higher and each change adds to the total momentum; therefore Fractal gears are in accord with that identity , but we have for the first time a visual way to understand it. I will also explain in the next section that a particle is not a wave , it is only an intersection of wave-like energy fields. That means the energy fields exhibit wave form motion because Fractal Gears are 3D wave forms themselves.

**Redifining the Uncertainty Principle:**

The uncertainty principle says that (momentum x position) is always not the same as (position X momentum). The is referred to in mathematics as a non-commuting relationship. The key to understanding this important point is that momentum and position are vectors meaning that they have magnitude and direction , like rotate 90 degrees to the right and rotate 45 degrees up. This is understood by a simple example; take a playing card then (flip it and rotate it) is not equal to (rotate it and flip it) - the cards end position is different. Try it.

So , in a dynamic Fractal Gear system like a Fractal Wheel Bearing , one can see that if I give you the (momentum X position) of a Fractal Gear it is ambiguous without a center of reference , and you also need two spin directions around two axes. Because it spins in 3D means that it has two axes of rotation , as compared to a gear that spins around only one axis. But there is another point of ambiguity , when you take into consideration the fundamantal idea of Fractal Gear Theory; that particles exist where two Fractal Gear fields intersect. They do not intersect continuously at only one point. They intersect discontinuously at multiple points. You can watch the video of the Fractal Wheel Bearing in slow motion to see that effect. While in motion , they intersect "here" and then they intersect "there"! But sometimes they intersect in multiple places simultaneously , so then a particle seems to be "here" and "there" at the same time. Further , real energy fields are not solid , and they can cross into each other - to an extent which is directly proportional to the momentum and the strength of the particular field. So , all this is happening "super duper" fast. Faster than we have the ability to measure. Faster than is possible to measure. Taking all that into consideration it is clear that the momentum and the position are both perpetually and instantaneously changing very rapidly , therefore we have the uncertainty principle.

**What Plancks Constant Really Represents:**

I should put this one in another post ....... Suffice it to say for now , by analogy, Planck's constant is to Fractal Gears what Pi is to circles. It does have a very simple explanation and it is not a mysterious number anymore , but it has a source. I will derive in a way no one has ever done from. If I tell the Physicists out there just one clue , I bet in one day they would figure it out and be banging their heads on the wall for not seeing it before. That clue is simply ; the irrationality of the Golden Ratio.

The Fibonacci sequence is such that every next number is the sum of the two before it. It arises often in natural processes and two consecutive numbers give you an approximation to the Golden ratio. So basically , if you take the infinite Fibonacci sequence 1,1,2,3,5,8,13,21,34, etc ..... the Golden ratio is found by dividing one of the numbers by the one before it , like 34/21 or 21/13. But the two numbers are not the same exactly(34/21 = 1.6190476~ and 21/13=1.615384~) and the deviation between the two steps is 1.6190476~ - 1.615384~=.0036~ .... The ~ symbol means these decimals keep going. So as you go further along the Fibonacci sequence the deviation gets smaller and smaller but it never disappears , and it actually fluctuates like a damped harmonic vibration. But you will find that it converges on Plancks constant which is (6.626 X 10^-34) as you tend to infinity. I have not solved for this analytically , but only by creating a graph and seeing that it does not go to zero , but keeps getting smaller. Strangely , the decreasing pattern of the deviation is harmonic. Something very unexpected and non-intuitive.

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