Ahh, but that doesn't really hold much water with me I'm afraid - the reason being, I also think you an idiot. This isn't meant as some generic insult: I
believe you to be stupid.
This might come across as harsh, but I feel entirely justified in expressing my opinion as such because you are both the type of people who attempt to portray a standing of authority on subjects you have absolutely no comprehension of. This is dishonest, and I don't like dishonest people.
I don't believe I've ever said (to the best of my recollection -- I could be wrong...) I was an authority on anything, Euler, other than the manipulation of light, which is true. I'm also not too shabby when it comes to issues of usability and accessibility on the Internet, truth be told. In any case...
Could perfect numbers be defined as equal to the sum of all divisors excluding the self and unity, PLUS the self and unity (treated as discrete entities) divided by two?
Yes, they could.
Would 1 then be considered a perfect number?
Indeed, it would be.
Would the mathematics of the Universe "break down" in any manner if one extended the definition thusly?
Indeed not. Nothing would change for any other number than at unity itself.
Is phi related to pi by the identity 2*cos(pi/5)?
Yes it is.
Is pi a number (or ratio) that figures into physics?
You tell me, but let me help you out a little by referring you for starters to the formulas for:
The cosmological constant, Heisenberg's uncertainty principle, Einstein's field equation of general relativity, Coulomb's law for the electric force, Magnetic permeability of free space, Kepler's third law constanthttp://en.wikipedia.org/wiki/Pi
Could one simply replace all those pi's with whatever would be the proper derivative based upon the above stated identity 2*cos(pi/5) and the formulas would no longer be true?
Is phi the most irrational of the irrationals?
According to at least Mario Livio, my source for that (The Story of Phi: The World's Most Astonishing Number), yes it is.
((phi^30+phi^-30)*16114) - (8191*100) + (127+1) = 299,792,458
Yes it does.
Is 299,792,458 equal to c*s/m?
Are 8191, 127 and 1 each Mersenne numbers?
Is 16,114 the 18th "node or "note" of the Golden Scale (Fib series 2,5)?
Yes. Yes. Yes. Yes. and Yes.
Does it MEAN anything? I don't know.
By and large, I am simply stating relationships, Euler, and suggesting new ways of framing "this or that" (imprecise, I know) and why? Because this is how progress gets made:
How to Bring Our Schools Out of the 20th Century
Thinking outside the box. Jobs in the new economy--the ones that won't get outsourced or automated--"put an enormous premium on creative and innovative skills, seeing patterns where other people see only chaos," says Marc Tucker, an author of the skills-commission report and president of the National Center on Education and the Economy. Traditionally that's been an American strength, but schools have become less daring in the back-to-basics climate of NCLB. Kids also must learn to think across disciplines, since that's where most new breakthroughs are made. It's interdisciplinary combinations--design and technology, mathematics and art--"that produce YouTube and Google," says Thomas Friedman, the best-selling author of The World Is Flat.
So while you CAN keep calling me "dishonest," or an "idiot," Euler, it reflects far more poorly upon you than me.
In my opinion, of course, only. I'm sure you can get Dallas and Nom and Cecil and a few others to agree with you...
P.S. I don't much care for dishonest people either, in particular the intellectually dishonest, which, of course, is oft times far more a function of ignorance than ill intent...