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You probably could calculate it, but you would most likely spend your whole lifetime! This phi equation does not just represent sqrt5. Even though sqrt5 is still a real number, it's not just sqrt5. But go for it!
I think this is fascinating!
I recommend this video to anyone reading this forum: http://www.youtube.com/watch?v=HDvZGKlxL1Q&NR=1
I wasn't talking about the golden ratio or anything specifically. This thread hasn't seen yet any evidence that phi is any more special or "sacred" than other concepts of mathematics.Quote:
Originally Posted by Jussinlee
Why is phi such 'profound wisdom'? Pi is much more useful, and I haven't seen anyone calling it divine. :?
I understand what you are saying, but I only say this because it is an anomaly in the fact that you can see it in nature WHEREVER you look. I'm not calling anything "divine".. it's just "very specific field geometry" as one physicist might put it.
What about e goddamnit? e is far cooler than pi.
And besides, pi is really only -2i times the log base e of -1. :V
phi is (1 + sqrt5)/2. That's exactly what phi is.Quote:
You probably could calculate it, but you would most likely spend your whole lifetime! This phi equation does not just represent sqrt5. Even though sqrt5 is still a real number, it's not just sqrt5. But go for it!
I think this facinating!
What do you mean by 'calculate it'..? If you mean write down the decimal expansion, that is infinite.
Basically if you assume it's a fraction p/q (p, q whole numbers),
(1 + sqrt5)/2 = p/q
=> sqrt 5 = 2p/q -1 = (2p -q)/q which is just another fraction, say a/b, where a and b don't cancel.
Then sqrt5 = a/b
=> 5 = (a/b)^2 = a^2/b^2
=> a^2 = 5b^2 => a divides by 5, so write a = 5c.
=> sqrt5 = 5c/b
=> 5 = (5c/b)^2 = 5^2*c^2/b^2
=> b^2 = 5c^2 => b divides by 5, so write b = 5d.
But then a/b = 5c/5d which contradicts the statement that a and b don't cancel, because we can divide both by 5 to get c/d.
Hence phi can't be written as a fraction.
Interestingly though, phi + 1/phi = -1, which is a fraction.
Didn't you say that it's not infinite?
The decimal expansion has an infinite number of 'random' digits.
Phi itself is not infinite. Infinity isn't even a number anyway, technically.
Phi is recursive, yes we know this..
How can a number be recursive?
I'm generalizing, because you can apply phi to anything!
Right, every adjective ever applies to phi.
Including 'negative', and 'integer', I suppose..?
Quote:
Originally Posted by Xei
I thought you were supposed to be a math wiz? PfffttQuote:
Recursion: (mathematics) an expression such that each term is generated by repeating a particular mathematical operation
The underlying principle of the Unified Field Theory is phi recursion, and also qunatum gravity.
For a better understanding of consciousness and the Unified Field Theory, I recommend this video:John Hagelin, Ph.D on ConsciousnessQuote:
Originally Posted by Jussinlee
Plank length is the smallest measurement of length with any meaning.
http://upload.wikimedia.org/math/b/9...aa0d7f742d.png
where c is the speed of light in a vacuum, G is the gravitational constant, and ħ is the reduced Planck constant.
This is directly related to the Phi ratio, which is the very essence of all self-replicating systems, the question is, what is replicating itself?
http://math.ucr.edu/home/baez/planck/node2.html
http://physics.nist.gov/cgi-bin/cuu/Value?plkl
Are you trying to look stupid? If you actually read what you quoted (actually I'd imagine you did but just found it impossible to comprehend), it says that a recursion defines a series of numbers. How is phi a series of numbers??Quote:
I thought you were supposed to be a math wiz? Pffftt
And yeah, I'm studying maths at Cambridge, which is the best and most academically selective university for mathematics in the world. So I know at least slightly more than you here.
No it isn't.Quote:
Plank length is the smallest measurement of length with any meaning.
http://upload.wikimedia.org/math/b/9...aa0d7f742d.png
where c is the speed of light in a vacuum, G is the gravitational constant, and ħ is the reduced Planck constant.
This is directly related to the Phi ratio, which is the very essence of all self-replicating systems, the question is, what is replicating itself?
Well that is exactly what leading Physicists today are trying to prove for the Grand Unified Theory!! And I'm sure you can sit there any try to prove me wrong, but I personally don't believe in coincidence.
How can I possibly prove you wrong? You haven't tried to give any evidence yet.
haha I don't have any for you, honestly I don't really know. But they have to relate SOMEHOW, I'm sure you can multiply them together to get some significant number, maybe? :?
Uh well you can divide it by phi to get approximately 10^-35. But metres are a completely arbitrary human invention (the French decided that there should be 10,000 between the North pole and the Equator). Base 10 is also completely arbitrary. So there's no connection whatsoever there. How can there be, the Planck length has dimension wheras phi is dimensionless. There can't possibly be any meaningful relation between the two values.
Did you just make this stuff up or something..? It's really very random of you to have chosen the Planck (not 'plank' by the way) length to talk about.
You just think this conicidence?!
http://www.youtube.com/watch?v=D8IcciRHGvQ
I assume you're talking about the rubbish asserted in the last few seconds of that YouTube video, for which the narrator makes no citations, nor does he even bother justifying what on Earth he's talking about. The closest thing to an explanation I can find is that the puts up the value of the Planck constant in centimetres and phi, which happen to share the first three digits and which is, as I just explicitly explained, completely and utterly meaningless, as anybody with a very basic grasp of physics would understand.
I hate referencing people. I read up on this "PHI, PLANCK LENGTH" comparison on other threads, which there are quite many I might add, and you are correct.
This topic still fascinates me, as far as Phi goes and unified field theory, and CONSCIOUSNESS! Thanks for consistent replies though. We all quote..;)
Heh, I did think about e after I postedQuote:
Originally Posted by Xei
Like Xei pointed out, the comparison at the end makes no sense. Planck length depicts, well, length. Phi on the other hand is a ratio, it has no dimensions.Quote:
Originally Posted by Jussinlee
Change the unit you're using for the planck length and you get a different number. Switch it to the US foot for example and you get Lp=53e-36 ft.
Laymens Intro to SACRED GEOMETRY: "SACRED:THE SHAPE OF WHAT ALLOWS WAVES TO RE-CUR"GOOGLE DAN WINTER, AND AlSO YOUTUBE. THIS SHOULD CLARIFY THIS ENTIRE THREAD. :) FEEDBACK? PLEASE TAKE THE TIME TO REALLY RETAIN WHAT IS BEING PRESENTED.
I don't mean to interrupt an argument, but back to the original purpose of the post, thank you Juroara! I love sacred geometry ever since we began studying the golden ratio back in school and when I began to research it myself. It's fascinating how much of nature can relate to the divine. It IS in science, science doesn't go against religion at all, rather it complements it!
Just noticed another fun facticle... the number 42, which is the basis of "God" in many religions, Kaballah, Judaism, Buddhism, etc, is the "7 by 6" in the Fruit of Life, and the Sri Yantra is a single triangle surrounded by 42.
It's another number that was not only popularized by Hitchhiker's Guide, but also very related to religion. Egyptians also had 42 principles in the book of the dead, as well as 42 gods and goddesses to represent them.