[abraxasinas]

Hi All!

Yes this thread addresses a topic of immense cosmic importance, as the Fibonacci mechanisms indeed underpins the creation of the universe itself as the contributors here have already stated and are aware of.

The biological and architectural affiliations of the Golden Mean and the Golden Ratio are ubiquitous on the web and can easily be accessed.

What is new however and what none of you would have come acroos yet; is the manner spacetime itself emerged from the 'sacred geometry' of the pentagonal supersymmetry in the higher (string-membrane) dimensions.
So I publish here a short excerpt, which you may not be able to follow in its technical semantics (of superbrane theory); but which might show you just WHY the Fibonacci Series is so important.


The part XY=X+Y=-1 defines the Fibonacci Roots X=0.618033.. and Y=-1.618033... in the formulas of the excerpt. The Fibonacci Roots so redefine the famous Euler Identity in mathematics.



I also provide the link for the readers familiar with the mathematical jargon to get more details.
Finally, the 'creation' of the physical universe can be modeled on an emergence from its metaphysical precursor; the latter describable in a BINARY Fibonacci Algorithm, which DEFINED the fundamental constants of nature, such as the constants in the energy proportionalities: {Mass=E/c^2; Frequency=E/f and Temperature=E/k}.
This might indicate to you just HOW ELEMENTARY the Fibonacci mechanisms are as 'Nature's Method' to maximise the compression of information in this geometrical superstructure.

Abraxasinas
http://tonyb.freeyellow.com/id124.html
...
In other words, the Big Bang manifested inertial parameters and the matter content for a subsequent cosmoevolution in the transformation of gravitational 'curvature energy', here called gravita as precursor for inertia into inertial mass seedlings; both however describable in Black Hole physics and the Schwarzschild metrics.


The Gravitational Finestructure so derives in replacing the Planck-Mass mP by a protonucleonic mass:
mc=√(hc/2πGo).f(alpha)= f(Alpha).mP and where f(Alpha)=Alpha9.
The Gravitational finestructure, here named Omega, is further described in a fivefolded supersymmetry of the string hierarchies, the latter as indicated in the Haramein-Rauscher paper following below in excerpt.
This pentagonal supersymmetry can be expressed in a number of ways, say in a one-to-one mapping of the Alpha finestructure constant as invariant X from the Euler Identity:
X+Y=XY= -1=i2=exp(iπ).
One can write a Unification Polynomial: (1-X)(X)(1+X)(2+X)=1 or X4+2X3-X2-2X+1=0
to find the coupling ratios: f(S)¦f(E)¦f(W)¦f(G)=#¦#3¦#18¦#54 from the proportionality
#¦#3¦{[(#3)2]}3¦({[(#3)2]}3)3=Cuberoot(Alpha):Alpha:Cuberoot(Omega):Omega.

The Unification polynomial then sets the ratios in the inversion properties under modular duality:
(1)[Strong short]¦(X)[Electromagnetic long]¦(X2)[Weak short]¦(X3)[Gravitational long]
as 1¦X¦X2¦X3 = (1-X)¦(X)¦(1+X)¦(2+X).
Unity 1 maps as (1-X) transforming as f(S) in the equality (1-X)=X2; X maps as invariant of f(E) in the equality (X)=(X); X2 maps as (1+X) transforming as f(W) in the equality (1+X)=1/X; and X3 maps as (2+X) transforming as f(G) in the equality (2+X)=1/X2=1/(1-X).
The mathematical pentagonal supersymmetry from the above then indicates the physicalised T-duality of M-theory in the principle of mirror-symmetry and which manifests in the reflection properties of the heterotic string classes HO(32) and HE(64), described further in the following.
Defining f(S)=#=1/f(G) and f(E)=#2.f(S) then describes a symmetry breaking between the 'strong S' f(S) interaction and the 'electromagnetic E' f(E) interaction under the unification couplings.
This couples under modular duality to f(S).f(G)=1=#55 in a factor #-53=f(S)/f(G)={f(S)}2 of the 'broken' symmetry between the longrange- and the shortrange interactions.


SEWG=1=Strong-Electromagnetic-Weak-Gravitational as the unified supersymmetric identity then decouples in the manifestation of string-classes in the de Broglie 'matter wave' epoch termed inflation and preceding the Big Bang, the latter manifesting at Weyl-Time as a string-transformed Planck-Time as the heterotic HE(64) class.
As SEWG indicates the Planck-String (class I, which is both openended and closed), the first transformation becomes the suppression of the nuclear interactions sEwG and describing the selfdual monopole (stringclass IIB, which is loop-closed in Dirichlet brane attachement across dimensions say Kaluza-Klein R5 to Minkowski R4 or Membrane-Space R11 to String Space R10).
The monopole class so 'unifies' E with G via the gravitational finestructure assuming not a Weylian fermionic nucleon, but the bosonic monopole from the kGo=1 initial-boundary condition GmM2=ke2 for mM=ke=30[ec]=mP√Alpha.
The Planck-Monopole coupling so becomes mP/mM=mP/30[ec]=1/√Alpha
with f(S)=f(E)/#2 modulating f(G)=#2/f(E)=1/# ↔ f(G){f(S)/f(G)}=# in the symmetry breaking f(S)/f(G)=1/#53 between short (nuclear asymptotic) and long (inverse square).
The shortrange coupling becomes f(S)/f(W)=#/#18=1/#17=Cuberoot(Alpha)/Alpha6
and the longrange coupling is Alpha/Omega=1/Alpha17=#3/#54=1/#51=1/(#17)3.
The strong nuclear interaction coupling parameter so becomes about 0.2 as the cuberoot of alpha and as measured in the standard model of particle physics.