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FQXi FORUM

August 23, 2019

CATEGORY:
FQXi Essay Contest - Spring, 2017
[back]

TOPIC: Integers, Prime Numbers, and Emergent Properties of Space time by David Pfender Chapman [refresh]

TOPIC: Integers, Prime Numbers, and Emergent Properties of Space time by David Pfender Chapman [refresh]

Using a baseline sine function, the structure of prime numbers reveals itself in the form of a standing waves amongst the integers, creating a scaling based on the prime number and its associated waveform relative to the baseline sine function. The baseline sine function produces a sine wave in which the arrow of time manifests when compared with a non-zero acceleration – a prime standing wave. Using multiple sine functions, across up to one hundred iterations, several other properties emerge that are observationally verified. When applying the waveform to real-world structures related to acceleration, energy, and time, behaviors first proposed by Albert Einstein's Theories of relativity; to include structure of black holes, the Schwarzschild radius ( ), mathematical singularities, and even galactic-scale structures – most exciting is the emergence of a double-helix structure from the fabric of space. All behaviors emerge from the same geometric proportions exhibited by the singularities that exist at the nodes of prime number standing waves. Base ten, two dimensional, two variable equations are used due to limited computing power and exponential complexity.

I'm an independent researcher, when it comes to topics like my essay. My day job consists of, when I'm not herding my daughters, research and development on ultra-low friction targeting stabilization systems, for high resolution data at large distances. I love all things nature, especially wood. Look closely at knots, fibers, and branches - you will see many structures related to fluids... occurring in a solid, what is solid, really? Relative rate of entropy. What a beautiful Universe.

I am amazed at the range and depth of talent these forums attract; truly a humbling experience to be able to offer musings to such a talented group.

To those that read the essay, a couple things:

Check out various nebulae, starting with the red square. It exhibits strikingly similar structures to those observed in the complexity arising out of simple sine waves.

To see another interesting behavior, use graphing software to model the following:

Z=sin(pi*x*n)+cos(pi*x*n). The emerging geometry closely follows both the hyperbolic steucture leading to Schwarzchild, and the interference pattern generated by Schroedinger's wave equation. Use two separate numbers, say n=3 and n=5, overlay z of 3, and z of 5, and adjust the scale, which changes the amplitudes at different rates. The resultant geometry is spectacular mimics behaviors observed on macro and micro scales.

To those that read the essay, a couple things:

Check out various nebulae, starting with the red square. It exhibits strikingly similar structures to those observed in the complexity arising out of simple sine waves.

To see another interesting behavior, use graphing software to model the following:

Z=sin(pi*x*n)+cos(pi*x*n). The emerging geometry closely follows both the hyperbolic steucture leading to Schwarzchild, and the interference pattern generated by Schroedinger's wave equation. Use two separate numbers, say n=3 and n=5, overlay z of 3, and z of 5, and adjust the scale, which changes the amplitudes at different rates. The resultant geometry is spectacular mimics behaviors observed on macro and micro scales.

David Pfender Chapman, it's possible that you like to look at the sky, and it seems to you an empty endless space in which you see the sine function in all its manifestation. According to the principle of the identity of space and matter of Descartes, space is matter that moves. When Copernicus began to assert that the Earth revolves around the Sun, he had, according to Descartes, to add that along with the Earth around the Sun, the entire circumsolar space rotates. Space is what the whole world is built of. Space is a superposition of sine functions. Look at my essay in which I showed how radically the physics can change if it follows this principle. Rate and leave your comment there.

Sincerely, Dizhechko Boris Semyonovich.

report post as inappropriate

Sincerely, Dizhechko Boris Semyonovich.

report post as inappropriate

Mr. Semyonivich,

Thank you for your comment. I agree with you completely. I took a look at your essay and will read it closely this evening. I also believe all of space is rotating around any massive body. In fact, something I didn't have room to elaborate was how I arrived at the Schwarzchild solution. In short, it was based off of the derivative and anti-derivative of 1/x. If we use natural units, 1=c^2, thus, E=c^2/x, or E=c^2/r, using polar coordinates. What's interesting is the ability to use Bernoulli to account for the pressure gradient that exists due to relative E. This is potentially why the continuity equation works as a function of the conservation of energy.

I will comment on and rate your essay later today. Thank you for the feedback!

Thank you for your comment. I agree with you completely. I took a look at your essay and will read it closely this evening. I also believe all of space is rotating around any massive body. In fact, something I didn't have room to elaborate was how I arrived at the Schwarzchild solution. In short, it was based off of the derivative and anti-derivative of 1/x. If we use natural units, 1=c^2, thus, E=c^2/x, or E=c^2/r, using polar coordinates. What's interesting is the ability to use Bernoulli to account for the pressure gradient that exists due to relative E. This is potentially why the continuity equation works as a function of the conservation of energy.

I will comment on and rate your essay later today. Thank you for the feedback!

Hi Prof David P Chapman

Your OP ... "Using a baseline sine function, the structure of prime numbers reveals itself in the form of a standing waves amongst the integers, creating a scaling based on the prime number and its associated waveform relative to the baseline sine function........" is a very nice idea, Best wishes to your paper... by the way ....

Here in my essay energy to...

view entire post

Your OP ... "Using a baseline sine function, the structure of prime numbers reveals itself in the form of a standing waves amongst the integers, creating a scaling based on the prime number and its associated waveform relative to the baseline sine function........" is a very nice idea, Best wishes to your paper... by the way ....

Here in my essay energy to...

view entire post

report post as inappropriate

Dear David

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don’t rate them at all. Infact I haven’t issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to...

view entire post

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don’t rate them at all. Infact I haven’t issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to...

view entire post

report post as inappropriate

Is mathematics a natural or man-made phenomena? Mathematics is a mostly man-made discipline. Mostly because now we have computer-made mathematics as well. E.g. new theorems are being proved by machines.

A wave isn't a quantumm field.

Figures only some resemble the objects they are claimed to represent. E.g. F11 is not really an electron cloud.

EQ11 is not valid near a horizon. Moreover, gravitational potential energy is negative not positive, which also implies KE-U has to be changed to KE+U, but this Newtonian expression for Energy is not valid near horizons.

report post as inappropriate

A wave isn't a quantumm field.

Figures only some resemble the objects they are claimed to represent. E.g. F11 is not really an electron cloud.

EQ11 is not valid near a horizon. Moreover, gravitational potential energy is negative not positive, which also implies KE-U has to be changed to KE+U, but this Newtonian expression for Energy is not valid near horizons.

report post as inappropriate

Dear Juan,

I do appreciate your critique, regarding my essay. I do, however, disagree with many of your arguments.

Citing computer-generated mathematics is not proof of the origins of mathematics - in fact, that is circular logic. Computers operate on laws requiring an initial A=B statement - that was supplied by humans, which was derived by observing and quantifying behaviors and...

view entire post

I do appreciate your critique, regarding my essay. I do, however, disagree with many of your arguments.

Citing computer-generated mathematics is not proof of the origins of mathematics - in fact, that is circular logic. Computers operate on laws requiring an initial A=B statement - that was supplied by humans, which was derived by observing and quantifying behaviors and...

view entire post

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