RFC Number Factor Patterns & Riemann Zeta Function?
in [Physics]
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From: O5O on 10 Mar 2010 18:23 I have waited a week or so for the math groups to comment, but no takers yet. So now I'm trolling on sci.physics. Maybe some of you physic's guys (or gal's) might have something to say? I saw part of a program on Japanese T.V. NHK channel 18.2 here in Los Angeles. It was named "NHK Special: The cosmic code breakers - The struggle to prove the Riemann hypothesis." Roughly it was about how different physical characteristics are observed in nature that have some kind of a bearing on the Riemann zeta-function or visa-versa. There is also some interest in the Mathematics world, I think, for using it to determine prime numbers somehow. With my primary interest in Engineering, I am not all that well versed in the zeta-function, particle physics, or higher order conceptual theories of anything. So to keep my blabbering to a minimum, I'll let any interested parties check out the web site. What I am basically interested in, is this connection between the zeta- function and physics, and if there is any real connection to the patterns that I see in this series of number factor pattern pictures. I see images on the left side of the pictures that I liken to interference patterns, but they don't seem to be related to the prime numbers in any particular way that I am aware of. They repeat regularly at (I suppose) prime intervals such as 2x3, 2x3x5, 2x3x5x7, 2x3x5x7x11, ..., etc, but that is the only connection I see so far. I also see some kind of wavy looking things around the square root function that become more pronounced and more spread out the deeper into the number line we go. I think that there are some continuous functions that can be teased out, but haven't really spent the time to evaluate them yet. As far as atomic structure, particle physics, and interference patterns are concerned I suppose that we are dealing with a small and limited number of integers, so my question then becomes what part of the zeta-function is actually pertinent to physics problems, and how so? These images are large and my web site is slow so your patience will vary, as well as the capabilities of your browsers to handle the complete 15 page series. "http://www.christopherthompson.me/Primes/" is the main web location right now. "http://www.christopherthompson.me/Primes/index525.shtml" is the smallest series of images where the patterns are readily apparent. "http://www.christopherthompson.me/Primes/index840.shtml" and "http:// www.christopherthompson.me/Primes/index1050.shtml" are each progressively larger, and will take exponentially longer to load. Google downloads these things every day or so, but I haven't yet determined where they are cached. They have cached the text part of the html pages, but the images still come to my web site for download. I don't know what they are doing with them, but if they are going to use my bandwidth to grab them off of my web site they ought to make them available for viewing off of their servers sometime. The 5250x5250 sized pages are probably the minimum sized pages where the text is barely legible. For viewing in PDF, I created a file with all fifteen pages and diagonal lines that I can recommend for download as a compromise between pattern viewing, legibility, and bandwidth utilization at: "http://www.christopherthompson.me/PrimesFL/ FactorTableWithDiagonals32+65.pdf" It is 5.11 MegaBytes, but just page 1 at 10500x10500 is 98 MegaBytes. Multiply by fifteen and you see the difference. Chris
From: O5O on 10 Mar 2010 18:31 I'll try to repeat these two broken links: We'll see what happens. http://www.christopherthompson.me/PrimesFL/FactorTableWithDiagonals32+65.pdf http://www.christopherthompson.me/Primes/index840.shtml Chris
From: Androcles on 10 Mar 2010 21:51 "O5O" <christoffur050(a)gmail.com> wrote in message news:28d74bc2-0ab9-4e18-ace0-8104924a8dad(a)w9g2000prb.googlegroups.com... >I have waited a week or so for the math groups to comment, but no > takers yet. So now I'm trolling on sci.physics. Maybe some of you > physic's guys (or gal's) might have something to say? > > I saw part of a program on Japanese T.V. NHK channel 18.2 here in Los > Angeles. It was named "NHK Special: The cosmic code breakers - The > struggle to prove the Riemann hypothesis." Roughly it was about how > different physical characteristics are observed in nature that have > some kind of a bearing on the Riemann zeta-function or visa-versa. > There is also some interest in the Mathematics world, I think, for > using it to determine prime numbers somehow. With my primary interest > in Engineering, I am not all that well versed in the zeta-function, > particle physics, or higher order conceptual theories of anything. > > So to keep my blabbering to a minimum, I'll let any interested parties > check out the web site. > > What I am basically interested in, is this connection between the zeta- > function and physics, and if there is any real connection to the > patterns that I see in this series of number factor pattern pictures. > > I see images on the left side of the pictures that I liken to > interference patterns, but they don't seem to be related to the prime > numbers in any particular way that I am aware of. They repeat > regularly at (I suppose) prime intervals such as 2x3, 2x3x5, 2x3x5x7, > 2x3x5x7x11, ..., etc, but that is the only connection I see so far. > > I also see some kind of wavy looking things around the square root > function that become more pronounced and more spread out the deeper > into the number line we go. I think that there are some continuous > functions that can be teased out, but haven't really spent the time to > evaluate them yet. > > As far as atomic structure, particle physics, and interference > patterns are concerned I suppose that we are dealing with a small and > limited number of integers, so my question then becomes what part of > the zeta-function is actually pertinent to physics problems, and how > so? > > These images are large and my web site is slow so your patience will > vary, as well as the capabilities of your browsers to handle the > complete 15 page series. > > "http://www.christopherthompson.me/Primes/" is the main web location > right now. > > "http://www.christopherthompson.me/Primes/index525.shtml" is the > smallest series of images where the patterns are readily apparent. > > "http://www.christopherthompson.me/Primes/index840.shtml" and "http:// > www.christopherthompson.me/Primes/index1050.shtml" are each > progressively larger, and will take exponentially longer to load. > > Google downloads these things every day or so, but I haven't yet > determined where they are cached. They have cached the text part of > the html pages, but the images still come to my web site for download. > I don't know what they are doing with them, but if they are going to > use my bandwidth to grab them off of my web site they ought to make > them available for viewing off of their servers sometime. > > The 5250x5250 sized pages are probably the minimum sized pages where > the text is barely legible. > > For viewing in PDF, I created a file with all fifteen pages and > diagonal lines that I can recommend for download as a compromise > between pattern viewing, legibility, and bandwidth utilization at: > > "http://www.christopherthompson.me/PrimesFL/ > FactorTableWithDiagonals32+65.pdf" > > It is 5.11 MegaBytes, but just page 1 at 10500x10500 is 98 MegaBytes. > Multiply by fifteen and you see the difference. > > Chris If you have a question, ask it. Otherwise I'm not interested in Google's computer downloading your images and then deciding they were too large to bother with. http://christopherthompson.me/sm08937.jpg Your gutter needs a coat of paint and your junk beside the bike needs cleaning up.
From: O5O on 11 Mar 2010 02:08 On Mar 10, 6:51 pm, "Androcles" <Headmas...(a)Hogwarts.physics_v> wrote: > "O5O" <christoffur...(a)gmail.com> wrote in message > > news:28d74bc2-0ab9-4e18-ace0-8104924a8dad(a)w9g2000prb.googlegroups.com... > > > > >I have waited a week or so for the math groups to comment, but no > > takers yet. So now I'm trolling on sci.physics. Maybe some of you > > physic's guys (or gal's) might have something to say? > > > I saw part of a program on Japanese T.V. NHK channel 18.2 here in Los > > Angeles. It was named "NHK Special: The cosmic code breakers - The > > struggle to prove the Riemann hypothesis." Roughly it was about how > > different physical characteristics are observed in nature that have > > some kind of a bearing on the Riemann zeta-function or visa-versa. > > There is also some interest in the Mathematics world, I think, for > > using it to determine prime numbers somehow. With my primary interest > > in Engineering, I am not all that well versed in the zeta-function, > > particle physics, or higher order conceptual theories of anything. > > > So to keep my blabbering to a minimum, I'll let any interested parties > > check out the web site. > > > What I am basically interested in, is this connection between the zeta- > > function and physics, and if there is any real connection to the > > patterns that I see in this series of number factor pattern pictures. > > > I see images on the left side of the pictures that I liken to > > interference patterns, but they don't seem to be related to the prime > > numbers in any particular way that I am aware of. They repeat > > regularly at (I suppose) prime intervals such as 2x3, 2x3x5, 2x3x5x7, > > 2x3x5x7x11, ..., etc, but that is the only connection I see so far. > > > I also see some kind of wavy looking things around the square root > > function that become more pronounced and more spread out the deeper > > into the number line we go. I think that there are some continuous > > functions that can be teased out, but haven't really spent the time to > > evaluate them yet. > > > As far as atomic structure, particle physics, and interference > > patterns are concerned I suppose that we are dealing with a small and > > limited number of integers, so my question then becomes what part of > > the zeta-function is actually pertinent to physics problems, and how > > so? > > > These images are large and my web site is slow so your patience will > > vary, as well as the capabilities of your browsers to handle the > > complete 15 page series. > > > "http://www.christopherthompson.me/Primes/" is the main web location > > right now. > > > "http://www.christopherthompson.me/Primes/index525.shtml" is the > > smallest series of images where the patterns are readily apparent. > > > "http://www.christopherthompson.me/Primes/index840.shtml" and "http:// > >www.christopherthompson.me/Primes/index1050.shtml" are each > > progressively larger, and will take exponentially longer to load. > > > Google downloads these things every day or so, but I haven't yet > > determined where they are cached. They have cached the text part of > > the html pages, but the images still come to my web site for download. > > I don't know what they are doing with them, but if they are going to > > use my bandwidth to grab them off of my web site they ought to make > > them available for viewing off of their servers sometime. > > > The 5250x5250 sized pages are probably the minimum sized pages where > > the text is barely legible. > > > For viewing in PDF, I created a file with all fifteen pages and > > diagonal lines that I can recommend for download as a compromise > > between pattern viewing, legibility, and bandwidth utilization at: > > > "http://www.christopherthompson.me/PrimesFL/ > > FactorTableWithDiagonals32+65.pdf" > > > It is 5.11 MegaBytes, but just page 1 at 10500x10500 is 98 MegaBytes. > > Multiply by fifteen and you see the difference. > > > Chris > > If you have a question, ask it. Otherwise I'm not interested in Google's > computer downloading your images and then deciding they were too large > to bother with. > http://christopherthompson.me/sm08937.jpg > Your gutter needs a coat of paint and your junk beside the bike needs > cleaning up. Wonderful observations Adrocles! Next time read the text and look for the question marks. Edit->Find->"?"->Enter->Repeat-Find->Enter
From: Androcles on 11 Mar 2010 04:32 "O5O" <christoffur050(a)gmail.com> wrote in message news:a1c7faeb-5550-496f-b632-d42decdca799(a)k6g2000prg.googlegroups.com... On Mar 10, 6:51 pm, "Androcles" <Headmas...(a)Hogwarts.physics_v> wrote: > "O5O" <christoffur...(a)gmail.com> wrote in message > > news:28d74bc2-0ab9-4e18-ace0-8104924a8dad(a)w9g2000prb.googlegroups.com... > > > > >I have waited a week or so for the math groups to comment, but no > > takers yet. So now I'm trolling on sci.physics. Maybe some of you > > physic's guys (or gal's) might have something to say? > > > I saw part of a program on Japanese T.V. NHK channel 18.2 here in Los > > Angeles. It was named "NHK Special: The cosmic code breakers - The > > struggle to prove the Riemann hypothesis." Roughly it was about how > > different physical characteristics are observed in nature that have > > some kind of a bearing on the Riemann zeta-function or visa-versa. > > There is also some interest in the Mathematics world, I think, for > > using it to determine prime numbers somehow. With my primary interest > > in Engineering, I am not all that well versed in the zeta-function, > > particle physics, or higher order conceptual theories of anything. > > > So to keep my blabbering to a minimum, I'll let any interested parties > > check out the web site. > > > What I am basically interested in, is this connection between the zeta- > > function and physics, and if there is any real connection to the > > patterns that I see in this series of number factor pattern pictures. > > > I see images on the left side of the pictures that I liken to > > interference patterns, but they don't seem to be related to the prime > > numbers in any particular way that I am aware of. They repeat > > regularly at (I suppose) prime intervals such as 2x3, 2x3x5, 2x3x5x7, > > 2x3x5x7x11, ..., etc, but that is the only connection I see so far. > > > I also see some kind of wavy looking things around the square root > > function that become more pronounced and more spread out the deeper > > into the number line we go. I think that there are some continuous > > functions that can be teased out, but haven't really spent the time to > > evaluate them yet. > > > As far as atomic structure, particle physics, and interference > > patterns are concerned I suppose that we are dealing with a small and > > limited number of integers, so my question then becomes what part of > > the zeta-function is actually pertinent to physics problems, and how > > so? > > > These images are large and my web site is slow so your patience will > > vary, as well as the capabilities of your browsers to handle the > > complete 15 page series. > > > "http://www.christopherthompson.me/Primes/" is the main web location > > right now. > > > "http://www.christopherthompson.me/Primes/index525.shtml" is the > > smallest series of images where the patterns are readily apparent. > > > "http://www.christopherthompson.me/Primes/index840.shtml" and "http:// > >www.christopherthompson.me/Primes/index1050.shtml" are each > > progressively larger, and will take exponentially longer to load. > > > Google downloads these things every day or so, but I haven't yet > > determined where they are cached. They have cached the text part of > > the html pages, but the images still come to my web site for download. > > I don't know what they are doing with them, but if they are going to > > use my bandwidth to grab them off of my web site they ought to make > > them available for viewing off of their servers sometime. > > > The 5250x5250 sized pages are probably the minimum sized pages where > > the text is barely legible. > > > For viewing in PDF, I created a file with all fifteen pages and > > diagonal lines that I can recommend for download as a compromise > > between pattern viewing, legibility, and bandwidth utilization at: > > > "http://www.christopherthompson.me/PrimesFL/ > > FactorTableWithDiagonals32+65.pdf" > > > It is 5.11 MegaBytes, but just page 1 at 10500x10500 is 98 MegaBytes. > > Multiply by fifteen and you see the difference. > > > Chris > > If you have a question, ask it. Otherwise I'm not interested in Google's > computer downloading your images and then deciding they were too large > to bother with. > http://christopherthompson.me/sm08937.jpg > Your gutter needs a coat of paint and your junk beside the bike needs > cleaning up. Wonderful observations Adrocles! Next time read the text and look for the question marks. Edit->Find->"?"->Enter->Repeat-Find->Enter ============================================ You see images on the left side of the pictures that you liken to interference patterns. You also see some kind of wavy looking things around the square root function that become more pronounced and more spread out the deeper into the number line you go. Mandelbrot saw this: http://mandelbrot.collettivamente.com/mandel.cgi Instead of generating 5.11 Megabyte images and then running out of space and time, the trick is to zoom in on the portion of the image that you are actually interested in. Mathematically the Mandelbrot set can be defined as the set of complex values of c for which the orbit of 0 under iteration of the complex quadratic polynomial z_(n+1) = (z_n)^2 + c remains bounded. Ref: http://en.wikipedia.org/wiki/Mandelbrot_set As far as chocolate eggs are concerned I suppose that we are dealing with some kind of wavy looking small and limited intellect better suited to painting gutters and cleaning up yards, so my question then becomes "what part of the Mandelbrot-function is actually pertinent to the Easter Bunny egg-laying problem, and how so?" I suppose the answer is "None at all, chocolate eggs are moulded by machinery", which may seem strange to small children that have learnt birds lay eggs and amateurs that hallucinate "all mathematics is physics" rather than "physics uses some mathematics". I gave a ride to some hitchers in PA, once. In the snow, a man, a woman, a younger girl aged about 12, trudging out of a rest stop on I80. They turned out to be weirdoes, when I dropped them at I79 the guy offered to sell me some pencilled drawings that look a lot like yours, and he reckoned they held all the secrets of the universe. Was that you in 1984? BTW, I did read the text, I even saw the question mark. I omitted "sensible" in "If you have a sensible question, ask it."
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