Science Forums  # Don Blazys

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Don Blazys had the most liked content!

• Rank
Questioning
• Birthday 01/27/1950

## Converted

• Biography
I am smart, talented, handsome and have a great sense of humor. I am also very humble!
• Location
La Crescenta, California, U.S.A.
• Interests
Music, math, science and philosophy.
• Occupation
Retired taxi driver/musician. Now a security supervisor for a well known high school.
1. That's very strange indeed. I too noticed that numbers very close to $\sqrt{3}$ do seem to occur more frequently than expected in equations involving the fine structure constant. Don
2. Quoting "turtle": Of course that is what I mean! Let's be perfectly clear about this. Here is the polygonal number counting function: $\varpi(x)\approx\left(\left(\sqrt{\left(\left(1-\frac{1}{\left(\alpha*\pi*e+e\right)}\right)*x\right)}-\frac{1}{4}\right)^{2}-\frac{1}{16}\right)*\left(1-\frac{\alpha}{\left(6*\pi^{5}-\pi^{2}\right)}\right)$ where: $\alpha=\left(\left(A^{-1}*\pi*e+e\right)*\left(\pi^{e}+e^{\left(\frac{-\pi}{2}\right)}\right)-\frac{\left(\left(\pi^e+e^{\frac{-\pi}{2}}+4+\frac{5}{16}\right)*\left(\ln\left(x\right)\right)^{-1}+1\right)}{\left(6*\pi^{5 3. To: Jess (Pascal), I checked out Valery Tsimmerman's site. Very impressive! Please give him my regards. Better yet, invite him to become a Hypographer and join us here on this thread! You see, I finally got a chance to do a little research on periodic tables, magic numbers, shell theories, the theoretical "island of stability", etc. and what I found is that both the fine structure constant and the counting function for polygonal numbers of order > 2 do indeed seem to tie into those things. For instance, Quoting Valery Tsimmerman: Well, our polygonal number counting function s 4. To:Lars(LBg), Running the counting function beyond [math]x=10^{15}$ we find that its upper and lower bounds are as follows: For $x<10^{19.0324}$, the upper bound is $\varpi(10^{n})=.640362739400577657*10^{n}$ which is in exellent agreement with your findings. (Actually, the more fitting word here would be remarkable, because that upper bound occurs slightly after $x=10^{19}$ which is ten thousand times beyond where we are now!) For $x>10^{19.0324}$, the lower bound is $\varpi(10^{n})=.64036273685156*10^{n}$ D
5. Quoting Jess: It may be that those behaviors only appear anomolous because the entire system involves, at its core, a sequence of numbers that is erratic and essentially unpredictable. A while back, you mentioned string theory. Google searching phrases such as "polygonal numbers in string theory" or "string theory polygons" shows that polygonal numbers are not only at the very core of string theory, but ubiquitous throughout it, so it should not be all that surprising that the fine structure constant should emerge naturally when we try to develop an honest counting function for polygonal n
6. Quoting LBg: Looks really interesting. Seems to match my results quite nicely. Please stand by. Don.
7. Quoting Jess: Congratulations! If those mappings do indeed work without exeption, then what you have discovered is a pattern which may very well be the consequence of some underlying principle which describes the entire system. In and of itself, that pattern or "law" is as important as it allows us to make further predictions. At some point, you should compile all your findings in one location, such as a website. After all, it's a lot easier to put together a jig-saw puzzle if all the pieces are on the table rather than scattered about in different rooms!
8. Hi Lars, I'm sure that when our fictional MOTHER said that to her equally fictional DAUGHTER, she was talking about my website. :D But seriously Lars, words cannot express the gratitude that I feel. Thank you. Don.
9. To: Jess Tauber (Pascal), Quoting Jess: Slugfests are a waste of time. Boring too! Hopefully, we can make some actual progress in answering some really tough and interesting questions. Quoting Jess: The fine structure constant gets larger as the energy scale increases. At zero energy, the estimates range from: $\alpha^{-1}=137.036$ to: $\alpha^{-1}=137.03604(11)$ At the lowest energy scale of the electron mass, it is $\alpha^{-1}=137.035999084(51)$ At the high energy scale of the W boson, it is $\alpha^{-1}=128$ and at unification energ
10. Quoting "turtle": Fiction writers write fiction, but in reality, I am indeed a legend in my own mind! Don.
11. Hi Lars (LBg), Somehow, an error occured when you "copied and pasted" the equation for $\alpha$. Please change that "201" to a "2". Anyway, thanks for making my point with such outstanding eloquence and humour. I can easily imagine that hypothetical dialogue between MOTHER and DAUGHTER continuing as follows: DAUGHTER (surprised) Wow mommy, those equations sure do look pretty. Heck, I would even go so far as to say that they appear downright elegant! However, I'm afraid that I can't quite understand them because I'm still just a little kid. Look, all I want to know is exact
12. Quoting Turtle: I disagree. Polygonal numbers have been studied since before the days of the ancient Greeks, yet, polygonal numbers of order greater than 2 or "regular figurative numbers" as they are otherwise known, have only been counted up to $x=10^{15}$. That's only one billionth of the value of $x$ to which prime numbers have been counted, so clearly, our mathematical literature is desperately in need of higher tables of $\varpi(x)$, (the number of regular figurative numbers under some number $x$). That's utterly shameful, because even y
13. Quoting 7DSUSYstrings: Having a value of the FSC that is "close enough on a local level" is one thing, having a bonifide mathematical function that requires the FSC is quite another. Functions can be modified, incorporated with and applied to other functions (such as the Lorentz functions) which describe other aspects of reality. In other words, functions allow us to explore. Of course, I agree with you that any prospect of accurately determining the "big picture" does indeed seem bleak when we take into account things like dark matter and dark energy. Experimental data on this
14. To: Jess, Do you have a website? Don.
15. Quoting "Pincho Paxton", In order to determine the value of the fine structure constant, Professor Gabrielse measured the electron magnetic moment, not the electron mass as you seem to think. Moreover, Gabrielse's ingeneous experiments are now universally regarded as the most accurate verification of any prediction in the entire history of physics! Now, when the results of physical experiments become that accurate, then it is time for mathematicians to "rise to the occasion" and develop constructs which not only describe those results, but allow new results to be predicted as well.
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