Thread: Let's Study Sacred Geometry

Let's study sacred calculus next.

Hah, what a bunch of crap. You say that was from a 'physics' forum? Sure. That's also a spectacularly bad understanding of biology as well.

I especially like the part where it goes on about soft tissues resonating, which basically doesn't happen due to the elastic and somewhat pliable nature of them.

Or the idea what what would effectively be localised brain trauma releases soothing chemicals!

I can understand pseudoscience with language used out of context (e.g. quantum [whatever]) throwing you off, but surely even you wouldn't believe stuff like:

and thus it may shake the brain sufficiently to cause nearly all areas of your brain to 'dump' their euphoric chemicals into your bloodstream and cerebral fluid.

... right?

What are Alpha waves?

A waveform like the alpha can be described through its frequency. Alpha waves have a range between 7 to 12 HZ and they are giving the brain and body deep rest.

The Alpha state is generally brought on by de-focusing one's attention. Alpha waves are naturally produced by the brain, when you relax. In this relaxation you are alert, but not drowsy or sleepy.

The brain can easily be inspired to produce alpha waves through external sources such as music - especially through certain rhythmical patterns. These alpha patterns can be audible and / or so low in volume that they can only picked up by the subconscious mind.
The brain & wave coherence

After a while this musical pulse affects all the sectors of the brain. Here the brain will reach a state called coherence. Coherence can be described as a condition where waves in phase and of one wavelength simultaneously are generated in the different parts of the brain. This synchrony between the waves can make the brain will act like a tight playing rock band.
A coherent brain is whatever wave length we are talking about, an optimal brain.

In the case of the calmness and soothing effect an alpha wave synchrony a performing symphony orchestra will make a better metaphor: If the different groups, strings, horns and so on are playing in the same pulse and rhythmical patterns, we can talk about a coherent or synchronic performance. Without coherence the music would be less inspiring and the same can be said about our brain!
Alpha waves and music - a wonderful synthesis

Listening to Alpha Wave Music is the most efficient way to reach states of deep relaxation within a short time!

Alpha Wave Music changes the rhythm of your brain waves in a total natural way. It combines the beauty of melodies and harmonies with the bineural beat of the alpha waves: The pulse of the alpha waves are discretely woven into the rhythmical tapestry of the music.

Especially in the US there are a lot of different types of rather sterile brain light machines available.
They also work with the science of alpha waves. The bineural beat is served through
headphones in the form of unpleasant sounding sinus tones. But the brain is much more than the sum total of the scientific and clinical measurements of different wave patterns. Science alone is not enough!
A lot of the soundscapes and bineural-beat sounds you hear elsewhere are often without beauty - designed by people who think that soul can be produced by pushing a button!

Science and beauty needs to go together - exactly like the left and right hemisphere of the brain.

Alpha wave music tries to bring in the best from both the world of emotional, irrational experience and scientific knowledge.
Only in the meeting of the scientific world of bineural beats with the sheer beauty of music a true relaxation can happen.

This musical process of synchronizing and stimulating the brain also has been known to increase the brain's production of endorphins, the natural opiate (like neurotransmitters) linked to pleasure and pain relief.
Alpha waves - range between 7-12 HZ

In the Alpha state one becomes aware of the "inner bodily sensations".
Generally there is a heightened feeling of well being.
This non-focused body awareness is the key that unlocks the body-mind unlimited capability to heal itself! In this state we also begin to access the wealth of creativity that lies potent in our non-focused awareness.
The Alpha waves of the brain can also be compared to the window frequency known as the Schuman Resonance, which is the resonant frequency of the earth's electromagnetic field
Beta waves - range between 13-40 HZ
The Beta state is associated with heightened mental activity, peak concentration, and visual acuity. Beta activity is "fast" activity and can often be associated with states of anxiety.
Stimulating music has been found to produce beta waves, which prepare you for quick response to external events.


Theta waves - range between 4-7 HZ

Theta waves can accompany feelings of emotional stress, but they can also be a sign of deep meditation.
Theta waves are furthermore produced in periods of REM dream sleep.


Delta waves - range between 0-4 HZ

Delta waves only occur during periods of deep sleep.
The "Alpha healing-state" will often spontaneously improve the low frequency deep sleep which triggers the release of Growth Hormone beneficial for healing and regeneration

http://www.music4meditation.com/alph...meditation.htm

Music definately affects consciousness. That is why some music helps to get a woman 'in the mood'.
People who like the same music seem to have the same types of minds.

Originally Posted by Souperman22

I don't understand how it's sacred. You never really explain what sacred geometry is. You use the phrase in its definition.

Sacred is merely a word we have used to establish what the essence of it is. The Flower of Life has been found all over the world including: India, Turkey,Spain,China,Marrakesh,Lebanon,Egypt,Austria ,Denmark, the Louvre...etc. In China, the Forbidden City courtyard, guarding the temple are two lions, male and female, and under the males paw sits a three dimensional Flower of Life sphere. The profound wisdom in its nature was understood by the ancients, deeming it "Sacred". Metatron's Cube and the 5 platonic solids are the basis structure in our universe.

Proportions are an interesting thing to look at. Such as Vitruvian Man by Leonardo da Vinci.

Originally Posted by Scatterbrain

As my post showed, your example is clearly fraudulent. The golden ratio is 1.6, and the solar system example you gave presents us ratios of 7 and 1, that's nowhere nowhere near the golden ratio.

Hahahaha, this guy wants to be all skeptic and discuss the golden ratio but doesn't understand what a ratio is! Just classic love this thread btw, keep up the posts dannon and hardwired, I'm really learning alot from you and it's exactly what I've been looking for the relation between geometry and music.

Originally Posted by PhilosopherStoned

Groups

Let's begin with the definition of a group. We will write our groups as (G, *) where G is a set (this is just a collection of things) and * is a binary operation on G. This means that * takes two elements of G and returns a third. Furthermore, (G, *) must satisfy three axioms:

1. associativity: for all a, b and c in G, (a*b)*c = a*(b*c)
2. identity element: there exists an element e in G such that for all elements a of G, e*a = a
3. existence of inverses: For every element a of G, there exists an element which we write as a^-1 or as -a such that a*a^-1 = e.

Examples of Groups

1. (Z, +)
   
   Z is the set of integers. + is the usual addition of integers. 0 is the identity element, if a is an integer than -a is it's inverse as a + (-a) = 0.
   
2. (R⁺, *)
   
   R⁺ is the set of real numbers x such that x > 0. * is the usual multiplication of real numbers. 1 is the identity and x^-1 = 1/x. Then x*1/x = 1
   
3. (Z[X], +)
   
   Z[X] is the set of polynomials in the variable X with integer coefficients. + is the component wise addition of polynomials. For example, if f = a_nXⁿ + ... + a₁X + a₀ and g = b_nXⁿ + ... + b₁X + b₀, then f + g = (a_n + b_n)Xⁿ + ... + (a₁ + b₁)X + (a₀ + b₀). If terms are missing, then just fill in with zeros. One can add polynomials of any degree. Then the identity element is just the zero polynomial with all of it's coefficients equal to zero. If f has coefficients a_i then the coefficients of -f are -a_i. Then f + (-f) = 0 where zero in this context is the zero polynomial and not the number zero.

The Dihedral Groups

Now we can get to a little geometry. Let's define a symmetry of a shape to be something that I can do to the shape without changing it. It's not too formal but I can clean it up a little if anybody wants. For example, if I have a circle and I rotate it around it's center, that is a symmetry of the circle: unless some mark is placed on the circle, there is no way to know that it has been rotated. Given a geometric shape and the set of it's symmetries, lets define a binary operation. If a and b are symmetries of our shape (let's call it C), then if I do a and then do b that is a symmetry well. This operation is called composition. For example, if I have a circle and I rotate it 30 degrees and then rotate it -10 degrees, it's like I rotated it 20 degrees.

This operation and the set of symmetries form a group. I'll leave the verification of the details as an exercise: real math is not a spectator sport.

Lol please verification of what details? There aren't any. I challenge you to perform said "exercise" to show how you're not full of it This is going to be good.

Classic Chayba, as ignorant and idiot as ever comes in all condescending without even constructing an argument. Good job.

Originally Posted by ChaybaChayba

Hahahaha, this guy wants to be all skeptic and discuss the golden ratio but doesn't understand what a ratio is! Just classic love this thread btw, keep up the posts dannon and hardwired, I'm really learning alot from you and it's exactly what I've been looking for the relation between geometry and music.

http://upload.wikimedia.org/wikipedi...ratio_line.svg

This is what the golden ratio is, clear and simple. Can you explain how my post contradicts the definition? (or how this definition is wrong?)

(And don't even bother with pointing fingers and shouting 'ad hominem'. You patronizingly said my earlier argument is wrong without a justification, so there's nothing for me to refute and I owe you no respect, you're the one who has to substantiate your idiotic claim.)

Einstein's Theory of relativity and the quantum theory do not agree AT ALL!
The anwser lies with black holes! They are found in the middle of every galaxy in the universe, and soon they will be found to be every proton in an atom. This also describes what "entanglement" is. A particle does not have to be in one place at the same time, it is the preceiver that makes that illusion possible. This universe is a vast network of vacuum's.

This is described in Physicist Nassim Harameins' paper:
http://www.theresonanceproject.org/p...glaw_paper.pdf
"In this paper we develop a scaling law utilizing the Schwarzschild condition as well as discuss charge and
rotation within a modified Kerr-Newman metric (the Haramein-Rauscher solution involving torque and Coriolis
effects in the field equations [2]) for cosmological, galactic, stellar and micro physical black holes."
also:
http://theresonanceproject.org/pdf/s..._proton_a4.pdf
"The Schwarzschild proton strongly suggests that matter at many scales may be
organized by black-holes and black hole-like phenomena and thereby lead to a scale
unification of the fundamental forces and matter."
Quantum Gravity Unification of Strong Nuclear Force

If we look at anything in our daily lives, such as a chair, or maybe a rock, it is put together by these smaller things, that are connected. So you could call this rock conscious now, because if you can expand your perametres of what consciousness is, then you can see this in plain site, with its manifestation. In this way we see that the macrocosm and the microcosm, infinetly small and infinetly big, are no different.

Lol please verification of what details? There aren't any. I challenge you to perform said "exercise" to show how you're not full of it This is going to be good.

Verification that the given set and operation fulfill the Group axioms.

Isn't that obvious?

i love this thread... sacred geomtery covers everything from subatomic particles to quatum particles to how our universe looks... and even our anatomy... from cells to the human body.

count me in... that's why many call it sacred... it unifies things existing on the largest and smallest scales by the same principles...

beachgirl...

If you take the joints in your hands, and divide the lengths of each phalanx into one another you get the phi ratio. Same thing goes for hands and arms, feet and legs, the phi ration appears: 1.61803399

It's just a proportion, but the Golden mean is infinite. You will find the mean in billions of places, literally every single cell in your body. This proportion must mean something very important to creation, obviously because it is the most important proportion compared to all other possibilities in mathematics.

the Golden mean is infinite

It's less than 2.

Originally Posted by Jussinlee

You will find the mean in billions of places, literally every single cell in your body.

Really? Where in a cell does the golden ratio appear?

Originally Posted by Xei

Verification that the given set and operation fulfill the Group axioms.

Isn't that obvious?

If it's so obvious why didn't you verify it?

Because I wasn't asked to.

Also because I'm currently doing a course on groups at university so it's extremely trivial for me and I've also done it about fifty times before.

Dodge fail.

Originally Posted by Scatterbrain

This is what the golden ratio is, clear and simple. Can you explain how my post contradicts the definition? (or how this definition is wrong?)

Chayba, I'm gonna take your silence as a 'No I can't, I was just trolling'.

The digits of the Golden Ratio go on to infinity without any pattern repeating. It's related to the Fibonacci Sequence and is obtained by dividing each number in the series by the one that precedes it. The Golden Proportion, phi, has been observed to evoke emotion or aesthetic feelings within us. The ancient Egyptians used it in the construction of the great pyramids and in the design of hieroglyphs found on tomb walls. At another time, thousands of miles away, the ancients of Mexico embraced phi while building the Sun Pyramid at Teotihuacan. The Greeks studied phi closely through their mathematics and used it in their architecture. The Parthenon at Athens is a classic example of the use of the Golden Rectangle. Plato in his Timaeus considered it the most binding of all mathematical relations and makes it the key to the physics of the cosmos. During the Renaissance, phi served as the "hermetic" structure on which great masterpieces were composed. Renowned artists such as Michelangelo, Raphael, and Leonardo da Vinci made use of it for they knew of its appealing qualities. Evidence suggests that classical music composed by Mozart, Beethoven, and Bach embraces phi. Fibonacci numbers and the Golden Ratio are manifestations of the innate harmony, symmetry, and balance in the universe. Whether consciously or subconsciously, we have tapped into and benefited by nature's truth. Indeed, we are all part of a cosmic dance in which we affect and are affected by everyone and everything.

Originally Posted by Jussinlee

The digits of the Golden Ratio go on to infinity without any pattern repeating. It's related to the Fibonacci Sequence and is obtained by dividing each number in the series by the one that precedes it. The Golden Proportion, phi, has been observed to evoke emotion or aesthetic feelings within us. The ancient Egyptians used it in the construction of the great pyramids and in the design of hieroglyphs found on tomb walls. At another time, thousands of miles away, the ancients of Mexico embraced phi while building the Sun Pyramid at Teotihuacan. The Greeks studied phi closely through their mathematics and used it in their architecture. The Parthenon at Athens is a classic example of the use of the Golden Rectangle. Plato in his Timaeus considered it the most binding of all mathematical relations and makes it the key to the physics of the cosmos. During the Renaissance, phi served as the "hermetic" structure on which great masterpieces were composed. Renowned artists such as Michelangelo, Raphael, and Leonardo da Vinci made use of it for they knew of its appealing qualities. Evidence suggests that classical music composed by Mozart, Beethoven, and Bach embraces phi. Fibonacci numbers and the Golden Ratio are manifestations of the innate harmony, symmetry, and balance in the universe. Whether consciously or subconsciously, we have tapped into and benefited by nature's truth. Indeed, we are all part of a cosmic dance in which we affect and are affected by everyone and everything.

Copy-paste, nice.

http://www.summum.us/philosophy/phi.shtml

I personally don't think it exists anywhere in the universe, it's only this idea of this perfect proportion. Life doesn't know how to use these kinds of numbers..Life likes real numbers!! So life figured out this AMAZING thing, thanks to Leonardo Pisano Bogollo (Fibonacci).
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
6765
10946
17711
28657
46368
75025
121393
196418
317811
514229
832040
1346269
2178309
3524578
5702887
9227465
14930352
24157817
39088169
63245986
102334155
165580141
267914296
433494437
701408733
1134903170
1836311903
2971215073
4807526976
7778742049
1258626902
So life trys to look for this ULTIMATE proportion, but never gets there. If you divide each of these numbers into eachother going down the line, you notice that It goes over, then under, over, under, over, and under and so on, but never achieves the phi.
1
under
2
over
1.5
under
1.666666667
over
1.6
under
1.625
over
1.615384615
1.619047619
1.617647059
1.618181818
1.617977528
1.618055556
1.618025751
1.618037135
1.618032787
1.618034448
1.618033813
1.618034056
1.618033963
1.618033999
1.618033985
1.61803399
1.618033988
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
1.618033989
A perfect example of this would be the nautical shell in its spiraling.

Originally Posted by Scatterbrain

Copy-paste, nice.

http://www.summum.us/philosophy/phi.shtml

This was not my original source, but thanks!

So what you're saying is that math is sacred?

Like I said before, it was deemed 'sacred' only because the ancients understood it's profound wisdom. I can guarantee you that if you expressed anything dealing with "scared geometry" or the like in ancient times, you would be executed, only the people at the top of hierarchy deserved this knowledge.

So life trys to look for this ULTIMATE proportion, but never gets there. If you divide each of these numbers into eachother going down the line, you notice that It goes over, then under, over, under, over, and under and so on, but never achieves the phi.

Well, technically that's not a proof cause you don't know if it'll ever reach it or not.

But you can actually prove it quite easily. I can show you if you want, but it's basically because phi is (1 + sqrt5)/2 and sqrt5 can never be written as a rational number (a fraction).