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Greetings ... in the day of Balance ... the Mercury day ... the day of the Divine Mathematics ...
And ... according to ... Empirical Mathematics ... just to say the Mathematics in use ... the 'Classical' problems of Antiquity ... like:
- Doubling the Cube ...
- Squaring the Circle and
- Trisecting the Angle ...
ARE ... Listen, Listen ... All Impossible.
In fact, Galois Theory is ... the actual method or Theory who we (the Mathematicians) adopt to unlock what are the conditions ... to know if a specific Polynomial have Solutions in a Specific Field.
Therefore all these 'Problems' have No Solution ... or have an Impossible Solution ... according to Actual Mathematics.
From book ... (by example) 'A First Course in Abstract Algebra' by John Fraleigh (Second Edition) we can list at page 331.
Theorem 1 "Doubling the Cube is impossible". i.e. given a side of cube, it is not always possible to construct with a straightedge and a compass the side of a cube which has double the Volume of the original cube.
*Proof*: Let the given cube have a side of length 1, and hence a volume of 1. The cube being sought would have to have a volume of 2, and hence a side of length ^{3}√ 2. But, ^{3}√ 2 is a zero of irreducible x^{3}-2 over Q, so
[Q(^{3}√ 2) : Q ] = 3.
This is impossible or 'not soluble' according to Galois Theory, depending of the book.
Theorem 2 "Squaring the Circle is impossible". i.e. given a circle, it is not always possible to construct with a straightedge and a compass a square having area equal to the given circle.
*Proof*: Let the given circle have a radius of 1, and hence an area of π. We would need to construct a square of side √π. But π is transcendental over Q, so √π is transcendental over Q also.
The impossibility to trisect the angle lead to the impossible to solve a specific Polynomial.
... Therefore ... Galois Theory ... is the Water that establish that ... because Irrationality ... we will have Impossible Solutions for Problems.
But ... Humm ...
About 100 years ago ... Cantor spoke and reopen the problem of Infinity with Set Theory.
Now, if we ask ourselves ...
The same question can be post ... How long is e ... or How Long is π.
But before to continue ... I want to post a question ... you never know ...
Why the title of the following book ... includes the number '163' ...
... simply because is prime? ...
No. There are another reason ... and is the following.
The number '163' was chosen because ...
In fact, the combination of these three irrational numbers ... on the left side can give us ... a Rational number. In fact, at page 66 of *Mathematics, The New Golden Age* ... it looks like an almost an integer if we split the decimals at twelve position.
... Interested persons can read also Philip J. Davies - Are there coincidences in Mathematics ... or Galois Theory for Beginners by Jorg Bewersdoff.
Now what ... Humm ... Now, we are speaking about one Mathematics ... not 'The Mathematics'.
In fact, in the Holy Development of ...
... I am blending many concepts and philosophical trends ... and one particularly important is the Russellian Cosmology regarding Walter Russell ... not ... Bertrand Russell and by example his 'Theory of Matter' ... but also the second is included.
Now ... Walter Russell ... 'claim' (and I believe him) ... in his 'time' of trance or problem ... moved to Heaven and speak with God ... these are an explanation in plain English.
I trust him ... 100% ... Now, in one of his book ... 'The Message of the Divine Iliad' ... we can read ...
*7. "Tell man My rhythms are absolute, else the interlacing of earth paths through their heavens could not be. Tell him also that chaos must arise from his unbalanced comings and goings, his givings and takings, e'en as chaos would arise from disobedience to My will in the comings and goings of earth paths through their heavens, or the givings and re-givings of their interchanging pressures.*
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These words ... 'Tell man My Rhythms are absolute' ... is Pythagorean ... recovering that the Universe is Rational ... as well Finite ...
Therefore ... ALL THIS ... Galois Theory ... Infinitesimal Calculus ... are but ... One Mathematics ... just to say ... the Mathematics of 3D, the Third Dimension.
If we write down ... 'some' decimals of ... Pi, we have:
3.141592653589793238462643383279502884197169399375105820974 ...
In Base Twelve (12) ... at page 91 of First Edition of ... 'New Numbers' by Frank E. Andrews,
Pi has the value of ... 3.1848.
Now ... has been said in this Website that ... there are Multiple Pi,
... and the Holy Pi, or Universal Pi ... is Rational. (not Irrational)
Therefore ... These numbers ... I suspect are: 22 and 7, to have Pi like 22/7.
Now, remains clear that ... also ... the Value of ...
would be ... Rational in a Specific Time Frame ... immediately above us ...
There are a system ... where all numbers can be reduced to 1, 2, 3 ... 9.
And this system is adding its digits.
In fact, 163 ... has like sum: 1+6+3=10, and 1+0=1. Therefore, this number is a 'beginning' of a New Time Layer.
Again ... all the decimals of Pi ...
- 3
- 3,1
- 3,14
- 3,141
- 3,1415
- 3,14159
- ...
Seems to be ... Time Frames ... of ...
... But Pi, is not important ... as people suspect.
Phi ... is more important ...
In fact,
In fact ... like Johannes Kepler comment ... φ ... solve and can be used to explain the Harmonic World.
If we consider a Circle ... (read the Picture) ... you will be very close ... and the very close is what we have today ... in a Time frame Higher ... we will have the Circle Squared ... the Cube Duplicated and the Angle trisected ...
Therefore ... may be ... We have NOT Proved ... but ... is valid like a Proposition.
Proposition: In the Sacred Galactic The 'Impossibility' of Certain Classical Constructions become 'Possible'!
Thanks,
Giovanni A. Orlando. Фильчаков прокурор отзывытуры в украину из минскаФільчаков прокурормакияж после 40двери межкомнатные луидордверь в кухне открывающаяся на себяпроточной водонагревателькупить гаджетыформа мед справкизавод деревоизделий москвааннетшиммер |