1st published on  the 17th 

of   February

 in the year 

2010 

by  

m  

“NEW” DISCOVERY  OF  VARIABLE COMPLEX  

“TWINE WAVES SHAPES” 

 RELATED TO SINE WAVES.

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INTRODUCTION.

    To one who is a "severe amateur" dabbler in Mathematics, such as myself, it does appear that 

some of the professional interest has somewhat become concentrated on the 

abstract investigation of Mathematics, especially related to the science of 

Physics theory and also hard to understand Mathematical Theorems  

and     the      laborious      proof      thereof.

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 This observation then not being a criticism of the professionals but rather an 'grudging'  acknowledgment of 
the fact that the human mind need to  move on from the  so called "elementary knowledge", referring 
here to our understanding of the qualities of those 'Geometry Basics' ;-

  we may have come to take for granted ;

Only so as to call attention to this humble observation;- that sometimes that natural drive “to move on”, 

can cause us to miss or overlook something , yes maybe just a mundane thing and of no 'immediate' great value.

Yet in this case, of Twine Wave Shapes, it is proposed that Something of 

a Profoundly important nature;- Relating to the relationship between a Circle and a Square 

   and to some extent the Triangle has been 'left undiscovered', that is up to now ;- 

    Uncovered by an act of mere stumbling upon, admittedly.

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' Left undiscovered ', you may frown ...} : ?

      An even deeper historical "suspected mathematical"  link exists but we keep that one on ice for now due to its unsavory  nature  relating 
       to 'recent' years past activities on the world stage, thus not to stoke ( as yet ) some, well founded legitimate resentments as anticipated ;- 

- that is before mathematical clarity prevail.

         Not to worry that you may be kept in the ' unknown ' though, it will be 'reluctantly' served up later when the matter becomes completely    

  'geometry wise' unavoidable.

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     Well ...what then is this so-called 'Overlooked' and 'Left undiscovered' Relationship between a Circle and a Square ?

    and the Twine Waves on the Far Right  ( Done with a CAD Program ) are called : ...................SUPER TWINES  .....on account of their flowing form being so pleasing to the eye.

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So what do these above "Wavy Shapes" have that require our attention ? 

Before that answer is attempted,  see below some even "Stranger" Twine  Waves 

and note that these Twin wave shapes are NOT just Random "Wavy" Shapes Subtracted from each other 

that then can give a Midway Sine Wave as a Resultant though we do not really need to pursue the Sine wave form here. 

The TWINE Waves themselves,  are VERY specific Wave shapes  that are NOT at all derived from

Fourier Transforms , but from a Unique Formula that Mathematically Describe This Particular Circle + Square Relationship, 

we may as well call it the EB- Formula.

 ( This Formula will be given Graphically and in  a Basic Program Form Later in this Writing )  

So here is then those promised more Twine Waves Shapes. 

These Twines below is called 

:  SLURP Twines

These Twines below is called  

:  SHARD  Twines

These Twines below is called  

:  SLUMP Twines 

These Twines below is called 

:  STUMP Twines (see if you can Spot the difference from SLUMP Twines )

These Twines below is called  

STEEP Twines 

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Yes there are other variants and these Shapes are from Two Families of Twine and yes you can discover them all 

when you run the EB- Program that will be later made available ( Free of course ) for download. 

Now However let there be an attempt to answer that Question posted above :-

So what does these above "Wavy Shapes" have that require our attention ? 

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At the risk of being mind numbing

( considering that one person  described the previous Website as   " pages of  gibberish about some supposedly new function that has deep meanings" ) 

GibberishAnswerTxt.html

here then is the "Proper" Word description of  what 'Twin waves' is

( for those who did find the Previous Web site fascinating as was also indicated by e-mail ) 

may this ( mid year 2012)  website then be more clear , I hope .......

01) “TWINE WAVES” refer to 2 Sets of Waves of Complex Variable Shapes each.

02) One Set called Stable=Realistic Twines

03) and the other Set called Unstable=Elastic Twines.

04) They are generated Geometrically as Double waves in each Set

05) and are 'related' to the Sine wave fundamental by means of a Fourier Subtraction result.

06) These Double or Twin Waves are created by the Dynamiclinking of a Circleand a Square.

07) The Twin waves in all cases are at 1/24^th phase difference within each set of Twines. ( Interesting since Prime Numbers and the Integer 24 seem to Like each Other a Lot ! ) 

See (  http://primes.utm.edu/curios/page.php/24.html )

08) One of the Twin waves is a Mirror and a Flipped version of the other Wave.

09) A single Formula drive the creation of each Twine couple

So the Fourier Subtraction Resultant of the Twin Waves always is a Perfect Sine Wave though the Complex Twin waves Shapes 

themselves are not derived from a Fourier process, rather being the result of a unique single Formula.

The Dynamic Linking of the Circle & Square has been shown above Graphically but lets continue with some Postulate as to why these 

Mathematical /Geometrical Twine waves should be considered important enough to deserve your further attention even though some has a random look about them.

Let's make a big jump here from Geometry to Physics considering that we all accept that the universe do operate on Mathematical Principles, some known but a “lot” still undiscovered.

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Postulate ONE

( i )

Knowing then that all particles Vibrate:- Twine Wave Variable Shapes are proposed as the real motion track of such Particle 

behavior instead of the Sine Wave track we so far assumed for Particle motion.

Yes it is suggested as real particle X – Y coordinate motion,not probability of position stuff here.

( ii ) 

Added to this audacious proposal is another thought ;- that most particles in their natural state 'prefer' to move 

in this “Sine resultant “ balanced relationship in a paired state, thus Closely Doubled !.

{ The above postulate so far is really two distinct thoughts but since the subject is about twinning.....! }

( iii ) 

Therefore in such a Twin relationship each Particle Couple will try to remain, unless violently torn apart such as in an atomic 

smashing situation after which the now single particles will behave with Soliton { see http://en.wikipedia.org/wiki/Soliton } wave 

properties till they come together again as they will tend to or find other mates to reform Twine Wave Couples.

( iv ) 

This may begin to explain the detection it seems in recent years of particle correlations in atom smashers, that is,

an 'inclination to move together' on the part of some particles.

I speculate that more of this may become apparent in the particle detection process as the sensitivity of those 

sophisticated machines and of course the insight-fullness of the learned ones advance.

( v ) 

{ For some background info see .....http://indico.cern.ch/conferenceDisplay.py?confId=107440

and also try , try very hard please, to read this..........http://indico.cern.ch/getFile.py/access? contribId=7&sessionId=1&resId=0&materialId=slides&confId=140054

( vi ) 

Yes I know it is tough as old nails but the gist of it is that there has been observed in both a USA based accelerator 

1^st in their copper - ion smashing experiments circa (before or during) 2010 'ish and  later in proton collision experiments at Cern sometime during 2011,

that some particle collision aftermath results seem to move in a similar direction / manner ;- hence the description Angular Correlation are used to 

begin to describe that “new” line of 'smashed' particle behavior investigation.

( vii ) 

See Word Definition :  Correlation = : http://dictionary.reference.com/browse/correlation 

See definition 3 = Statistics =  the degree to which two or more attributes or measurements on the same group of elements show a tendency to vary together. ( Definitions @ the Dictionary.com link = thnx 

( viii )

 ( See some  musings here in the link  below { the first 40 plus pages are named : iam or gates theory } as to why this 'Correlation' stuff  matters

in this raw and unfinished work  I  intend to name  :  ON MOTION AND MORE  if ever I do complete it.) 

http://junkyardinnovations.com/iam=ImaginaryAtomicModel-or-gates_theory(AN-UNFINISHED-WORK).pdf    

and below 

( ix )

is some  EB Programs ( Still the Basic Stuff - Later the more Advanced one will be published ) 

with the  EB Core Calculation Code Block  separated 

and also see a poem;-

 Twine Sine Song  

that summarizes some theoretical thoughts

as to why this 

Twin Wave stuff may 

be useful.  

 Also See 

Copy Right Waiver and EBSimplexleg 

 Postulate ONE Conclude.

Now on to Number Two...

Postulate TWO

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This relate to Protein forming regarding the as yet  Mysterious reason as to why a Particular String of  Amino Acids  would always tend to fold the same way 

while it really could have folded into many other Possible Combinations.

It is like Dropping a Long String with a lot of  Knots in it and that string always , but always fall  in a Heap of 3D string that is always 

3D Shaped exactly the same, yes every time for that Particular Combination of String Length / Knot Combination.

( LATER = Got to go now ........3rd of  May 2013.)