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In the early 1990s, before 1993, I assembled a conjecture that is
perhaps the most important conjecture in all of mathematics, today. It is the problem that everyone in mathematics should stop their own projects, just drop them as rather trite and meaningless and pick up on this conjecture. In simple terms the conjecture is that Euclidean geometry is the assemblage of Elliptic geometry with Hyperbolic geometry. Euclidean geometry = Elliptic unioned with Hyperbolic geometry Another expression is that the "Whole = plug plus hole in fabric" In terms of Maxwell Equations, the bar magnet is Elliptic geom and the closed loop wire is Hyperbolic geometry and the electric current that flows as the bar magnet is thrust through the closed loop wire is Euclidean geometry. Now I reached a point in this textbook where I can make final and ultimate sense of the fine-structure constant of physics. And let me blair out here and now what it is-- in mathematics, Euclidean geometry, it has a fine structure constant called pi and defined as circumference of circle divided by 2xradius and is equal to about 3.14. Now in physics, it has a fine-structure constant equal to about 1/137. Now in mathematics, when doing only Euclidean geometry the C =pi*d or C=pi*2r. But physics is not just Euclidean geometry, although most physicists in their calculations assumes only Euclidean geometry. That is why Special Relativity is so difficult to imagine is because it is not just Euclidean but also includes Elliptic and Hyperbolic and how they produce Euclidean. So when a physicist is transforming with the Lorentz transformation, all that is taking place is the moving back and forth between Elliptic plus Hyperbolic to Euclidean. In reality, in both physics and mathematics there is but one and only one "dimensionless constant". In math we call it pi, in physics we call it fine-structure constant. Now some may think that proton to electron mass ratio is another dimensionless constant in physics, but ask yourself how many times is that number appearing in equations of physics? Never, unless you focus on M_p/M_e. And if it were, then you take any physics measure such as the volume of proton versus volume of electron and divide one into the other and claim you found a new dimensionless constant. So the fact of the matter is, that mathematics and physics has but one and only one dimensionless number, and for math it is pi and for physics it is fine structure constant. Now let me show you how it works for math and then for physics. In math, since it is a subset of physics, we have a electron moving in a straight line in Euclidean geometry and now we want a circle, so we apply a force to bend the electron path to form the circle. We measure the diameter of the circle and find out it is 3.14 of the circumference. So we have our pi, a dimensional constant for the number fits all circles, but only circles in Euclidean geometry. So pi of 3.14 is not the dimensional constant of physics, but some other number because physics is worried not just of Euclidean geometry but has to include Elliptic alongside Hyperbolic. So the pi of physics is not 3.14 but rather 1/137 = 0.0072. Now that means if you are working exclusively and only in Euclidean geometry you have to use 3.14, but if you are working in geometry where you have Euclidean = Elliptic unioned to Hyperbolic, you have to use 0.0072. Now let me show you how it works specifically. Instead of a electron in a straight line bent to form a circle. We have the Sun moving in a straight line at 220km/sec and it forms a magnetic monopole sphere around the Sun that stretches out forming the solar ecliptic out to the Kuiper belt and forming the Oort Cloud sphere. The Sun creates the geometry around the Sun since it has the most mass of the solar system. The geometry that the Sun creates is an ecliptic plane inside a Kuiper belt plane and Oort Cloud sphere. The Oort Cloud is spherical in shape. So now, applying the inverse of 0.0072 equals 137, we have the ecliptic to Kuiper belt of about 50Au. So we have 137 * 2pi * 50Au is 43,018 Au. Now in Wikipedia they say that the Oort Cloud is 50,000 Au, but that is just a number pulled out of rough estimates. Now if we go to galaxies and measure their galactic bulge, their centers, is equivalent to the Kuiper belt and then use the same inverse fine structure constant, we end up with the full length of the galaxy in question. -- Approximately 90 percent of AP's posts are missing in the Google newsgroups author search starting May 2012. They call it indexing; I call it censor discrimination. Whatever the case, what is needed now is for science newsgroups like sci.physics, sci.chem, sci.bio, sci.geo.geology, sci.med, sci.paleontology, sci.astro, sci.physics.electromag to be hosted by a University the same as what Drexel University hosts sci.math as the Math Forum. Science needs to be in education not in the hands of corporations chasing after the next dollar bill. Besides, Drexel's Math Forum can demand no fake names of all posters which reduces or eliminates most spam and hate spew and search engine bombing. Drexel has done a excellent, simple and fair author-archiving of AP sci.math posts since May 2012 as seen here : http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Now I may have made mistakes in saying dimensionless constants and
dimensional constants in my previous post, by mixing them up in the discussion. Pi in mathematics is a dimensionless constant only in Euclidean geometry and is a variable in Elliptic and Hyperbolic geometry. So pi is not a unique dimensionless constant throughout geometry of mathematics. So is there a unique number in all of mathematics and physics that is a dimensionless constant? And what I wanted to say about the Fine Structure Constant of physics is that it is a unique Dimensionless Constant when all three geometries are used as a whole. So that the Universe has only one unique dimensionless constant-- the Fine Structure Constant. It is never a variable as pi is a variable when not in Euclidean geometry. -- http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Alright, in my earlier posts of yesterday on this subject I was
outlining how the Fine Structure Constant is the only dimensionless constant in both physics and mathematics, whereas pi is a variable depending on type of geometry, yet the fine structure constant is a constant independent of geometry type-- Euclidean, Elliptic and Hyperbolic. Even the math constants of "e" or "phi" are dependent of geometry. In the Great Conjecture of Geometry: Euclidean geom = Elliptic geometry unioned with Hyperbolic geometry The only dimensionless constant in that conjecture is the Fine Structure Constant of approximately 1/137. The use of 1/137 gives us the closed loop of wire-- Hyperbolic geometry, and gives us the moving bar magnet --Elliptic geometry and gives us a flow in electric current-- Euclidean geometry. So the number approx 1/137 is a number that interfaces with Euclidean, Elliptic, Hyperbolic geometries simultaneously. Whereas in Old Math, pi works only in Euclidean geometry and so does "e" and "phi". So as we make the Maxwell Equations the axioms over all of physics, they also produce all of mathematics as a side outcome. Now I am still working around the geometry of the mapping of galaxies. And slowly but surely I am getting there. Let me recap where I am at the moment. So far the "Universal Geometry" of what solar systems look like, what galaxies look like what the Universe as a whole looks like and what the inside of an atom looks like, are all the same mirror image. And that image is best seen in the solar system. We have the Sun as the nucleus, although in an atom the nucleus would be several protons and neutrons with electrons in orbit. In the Solar System the planets are in orbit (as well as the Sun also). So the pattern of the Solar System is a ecliptic disc or plane where the concentration and density of mass is located. Then we reach the outskirts of this disc of ecliptic in the Kuiper belt and finally the whole is a spherical cloud called the Oort Cloud. Now in the atom the electrons pretty much follow a ecliptic type of form, which suggests a new experiment that much was missed in the Rutherford scattering experiments. The Sun is similar and dissimilar to the atom nucleus, but the chances of colliding with a planet (an electron) is likely to happen. So we must re-do and re-check Rutherford scattering because some of these particles are bouncing back not from colliding with the nucleus but from colliding with an orbiting electron. Just as a recent comet collided into Jupiter rather than the Sun. Anyway, the atom is geometry form similar to the Solar System and finally the galaxies are of similar form to the Solar System where all galaxies have a disc ecliptic. All have a center. And all have what is called a Oort Cloud type of boundary. And one dimensionless constant oversees all these geometries, the fine- structure constant. -- Approximately 90 percent of AP's posts are missing in the Google newsgroups author search starting May 2012. They call it indexing; I call it censor discrimination. Whatever the case, what is needed now is for science newsgroups like sci.physics, sci.chem, sci.bio, sci.geo.geology, sci.med, sci.paleontology, sci.astro, sci.physics.electromag to be hosted by a University the same as what Drexel University hosts sci.math as the Math Forum. Science needs to be in education not in the hands of corporations chasing after the next dollar bill. Besides, Drexel's Math Forum can demand no fake names of all posters which reduces or eliminates most spam and hate spew and search engine bombing. Drexel has done a excellent, simple and fair author-archiving of AP sci.math posts since May 2012 as seen here : http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Apparently there are many anomalies in Rutherford scattering. So what
I am going to presume, which is well founded, is that the electrons say for example of Oxygen atom of its 8 electrons that they orbit the oxygen atom nucleus, much in the same way that the 8 planets form a plane of ecliptic with the Sun and orbit the Sun. So I want to find Rutherford scattering which proves the 8 electrons of oxygen atom for a plane of ecliptic with the nucleus of oxygen. --- quoting from this source found in Google under anomalies Rutherford scattering --- http://books.google.com/books?id=RBo...tering&f=false For very large impact parameters (small deflection angles), the Rutherford formula is likewise no longer exactly valid. The Coulomb potential of the nucleus is perturbed by the atomic electrons. These effects occur for b= 10^-10 cm (deflection angles of a few seconds of arc) and are very difficult to detect experimentally. --- end quote --- 1. Get PDF - Wiley Online Library onlinelibrary.wiley.com/doi/10.1002/ pssb.2220860159/pdf by VV Kaplin - 1978 Institute of Nuclear Physics, Tomsk Polytechnical Institute. Quantum-Mechanical Treatment of Anomalous Rutherford Scattering of Swift Electrons in Crystals. BY ... 2. Quantum-mechanical treatment of anomalous rutherford scattering ... onlinelibrary.wiley.com › ... › physica status solidi (b) › Vol 86 Issue 1 by VV Kaplin - 1978 Apr 4, 2006 – Quantum- mechanical treatment of anomalous rutherford scattering of swift electrons in crystals. V. V. Kaplin,; D. E. Popov,; S. A. Vorobev ... 3. Temperature dependence of anomalous Rutherford ... - Springer link.springer.com/article/10.1007%2FBF00892037 by AA Vorob'ev - 1978 - Related articles Jul 1, 1978 – In contrast to the channeling of positively charged particles, the effect of the crystal temperature on orientational scattering of fast electrons has ... 4. Temperature dependence of anomalous Rutherford ... - Springer link.springer.com/content/pdf/10.1007%2FBF00892037 by AA Vorob'ev - 1978 - Related articles particles into the lattice and the anomalous Rutherford scattering under channeling condi- tions [2, 3]. Detailed discussion is carried out for 111 and ( 100) Si ... 5. The Physics of Atoms and Quanta: Introduction to Experiments and ... - Page 46 - Google Books Result books.google.com/books? isbn=3540208070 Hermann Haken, Hans Christoph Wolf - 2005 - Computers We come now to the so-called anomalous Rutherford scattering. In the scattering of very fast alpha particles (E 6MeV) at large angles 9, i.e., with small impact ... 6. Temperature dependence of anomalous Rutherford scattering of fast ... adsabs.harvard.edu/abs/1978SvPhJ..21..860V by AA Vorob'ev - 1978 - Related articles Title: Temperature dependence of anomalous Rutherford scattering of fast electrons in crystals. Authors: Vorob'ev, A. A.; Kaplin, V. V.; Vorob'ev, S. A.; Popov , ... 7. anomalies in Rutherford scattering Re - Math Forum mathforum.org › Discussions › sci.math.* › sci.math.independent ◦ Cached 8. Apr 14, 2012 – Nilsson Model anomalies in Rutherford scattering Chapt13.4003 nucleus malleability and ductility #402 New Physics #522 ATOM ... 9. Rutherford's Alpha Scattering Experiment - Physics revision | GCSE ... http://www.cyberphysics.co.uk/topics...erford..htm ◦ Cached ◦ Similar 10. The results of this experiment were so astounding that they made Rutherford say, ... have to be repeated many times to be sure they were not due to anomalies! 11. Quantum‐mechanical treatment of anomalous rutherford scattering ... journals2.scholarsportal.info/details.xqy?uri=/03701972/ v86i0001/... ◦ Cached 12. Scholars Portal - Quantum‐mechanical treatment of anomalous rutherford scattering of swift electrons in crystals. 13. On anomalies in elastic electron scattering cross sections from protons pdfserv.aip.org/JCPSA6/vol_131/iss_5/054305_1.pdf by R Moreh - 2009 - Cited by 3 - Related articles was reported that the e- scattering intensities from H are anomalously lower by. 30% than that expected from the. Rutherford formula.2,3 A similar anomaly in e-H ... -- Approximately 90 percent of AP's posts are missing in the Google newsgroups author search starting May 2012. They call it indexing; I call it censor discrimination. Whatever the case, what is needed now is for science newsgroups like sci.physics, sci.chem, sci.bio, sci.geo.geology, sci.med, sci.paleontology, sci.astro, sci.physics.electromag to be hosted by a University the same as what Drexel University hosts sci.math as the Math Forum. Science needs to be in education not in the hands of corporations chasing after the next dollar bill. Besides, Drexel's Math Forum can demand no fake names of all posters which reduces or eliminates most spam and hate spew and search engine bombing. Drexel has done a excellent, simple and fair author-archiving of AP sci.math posts since May 2012 as seen here : http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Compton Scattering is easier to experimentally prove that the
electrons of an atom form a "plane of ecliptic" around the nucleus of the atom. Yesterday I was posting about a Rutherford scattering anomalies to prove electron-plane-ecliptic but in that scattering is used alpha particles. I need the use of photons as a better means of proving the electron-ecliptic-plane. Now in Compton scattering and the photoelectric effect we have photons as the ammunition rather than alpha particles. And I was searching for anomalies in Compton scattering. There are plenty of anomalies, but I have not yet found the particular anomaly that is due to the fact that the electrons of atoms and compounds form a electron-ecliptic-plane around the nucleus. So I am pushing forward with other chemistry data that proves the electrons form a ecliptic plane around the nucleus of the atom. And I need not look far at all, for the chemistry bonding of ionic, covalent, and metallic and the Lewis structure helps prove that the electrons must form a ecliptic plane, very similar to how the planets form a ecliptic plane around the Sun (Sun equals nucleus). Now I propose that the Lewis structure can fit chemical bonding so well, only because it is a planar ecliptic of electrons. But let me go into details in another post. P.S. now I had a sneek peek at how many moons Jupiter has compared to Saturn and we have 67 versus 62. Now the last stable atom on the periodic table is lead at 82 ( bismuth was found to decay). So, what I suspect, since the Universe is run by the Maxwell Equations that the Sun has at least 82 planets in all. So that many of the planets lie in the Kuiper belt. Now this is contrary to the astronomy conferences a few years back that wanted to define whether Pluto was a planet or not a planet. Trouble there was that they did not even have a proper physics understanding of what gravity was, so they were helpless and hopeless in even making any definitions of what is or is not a planet. In the proof that the electrons orbit in a atomic plane of ecliptic, I am going to use the Sun and planets as an analogy. For although both the atom and Solar System are similar and both have planes of ecliptic, the atom is a "perfect plane of ecliptic of electrons" whereas the Solar System has many defects and nowhere near to "perfection". But the two follow the same principle idea of a *Universal Geometry* because both are rooted from the same set of axioms-- Maxwell Equation. Since the Maxwell Equations have a plane of ecliptic for electrons with a background of a sphere, then the Solar System has a plane of ecliptic of planets with a background sphere of the Oort Cloud. -- Approximately 90 percent of AP's posts are missing in the Google newsgroups author search starting May 2012. They call it indexing; I call it censor discrimination. Whatever the case, what is needed now is for science newsgroups like sci.physics, sci.chem, sci.bio, sci.geo.geology, sci.med, sci.paleontology, sci.astro, sci.physics.electromag to be hosted by a University the same as what Drexel University hosts sci.math as the Math Forum. Science needs to be in education not in the hands of corporations chasing after the next dollar bill. Besides, Drexel's Math Forum can demand no fake names of all posters which reduces or eliminates most spam and hate spew and search engine bombing. Drexel has done a excellent, simple and fair author-archiving of AP sci.math posts since May 2012 as seen here : http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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Chapt15.57 ultimate meaning of the fine-structure constant 1/137, the
"pi of physics", Universal-Geometry Chapt15.58 electrons form a plane of ecliptic around the atomic nucleus Chapt15.59 chemical bonding as Lewis structure as proof of electrons- ecliptic-plane Now these last three chapters I am discussing follow from a key idea-- Maxwell Equations as axioms demands a plane of ecliptic not just for the large scale of the astronomy but for the small scale of the electrons moving around a nucleus of the atom. So, now, I want to prove that the electrons revolve around the atom in much the same geometry as the planets revolve around the Sun in a plane of Ecliptic. Now it is easier to prove using Compton scattering but that technique is a very very difficult experiment to perform with accuracy. Many of the websites that discuss scattering point out the difficulties. But I am optimistic and so optimistic that I feel the electron- ecliptic-plane has already been discovered only never been correctly interpreted. And has been filed as a Compton Scattering Anomaly. No- one in physics, to date, ever had the idea that electrons revolve around the atomic nucleus in a planar ecliptic, so it is easy to file such a discovery as a anomaly, rather than looking at the data again and seeing that it is not an anomaly but a proof that the electrons are in a planar ecliptic. But I am not going to be waiting around for lethargic physicists to re-open their files and data of Compton scattering to realize a electron plane of ecliptic. I am going to push ahead with other proof. Another proof of electron ecliptic would be the Lewis Structure of chemistry with its octet rule. Can you even or ever have a Lewis structure with octet rule if the electrons were not in a planar ecliptic? I say no. Let me first review the Chemical Bonds. We have the ionic bond which is a wholesome transfer of an electron from one atom to the other atom. We have the covalent bond which is a sharing of electrons between two atoms and finally we have the metallic bond which is a pooling of an electron sea. We have the Lewis diagrams of dots and of slash marks. Now the Lewis structure works well. But can it work at all if the electrons revolved around the nucleus without being all in a planar ecliptic? Let us ask the same question of astronomy. Can we have planets revolving around the Sun if they were not all in a planar ecliptic? So here is the heart of the problem. The Maxwell Equations governs the motion of the planets and it governs the motion of the electrons, and what the Maxwell Equations demands of planets must be the same thing that it demands of electrons. Now I am jumping forward ahead to the answer. The answer is that the Lewis Structure, the diagrams are based on an assumption that the electrons (valence electrons, and in fact all the electrons of the atom) form a electron ecliptic plane. -- Approximately 90 percent of AP's posts are missing in the Google newsgroups author search starting May 2012. They call it indexing; I call it censor discrimination. Whatever the case, what is needed now is for science newsgroups like sci.physics, sci.chem, sci.bio, sci.geo.geology, sci.med, sci.paleontology, sci.astro, sci.physics.electromag to be hosted by a University the same as what Drexel University hosts sci.math as the Math Forum. Science needs to be in education not in the hands of corporations chasing after the next dollar bill. Besides, Drexel's Math Forum can demand no fake names of all posters which reduces or eliminates most spam and hate spew and search engine bombing, and front page-hogging. Drexel has done a excellent, simple and fair author-archiving of AP sci.math posts since May 2012 as seen here : http://mathforum.org/kb/profile.jspa?userID=499986 Archimedes Plutonium http://www.iw.net/~a_plutonium whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies |
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