DEMETRICATION OF  PARAMETERS IN GENERAL  RELATIVITY 

 The attempt to quantise General Relativity (GR) must encounter the difficulty
of avoiding the assumed background continuum of spacetime parameters.
We so propose a demetrication of GR in superposing a prespacetime scenario
onto the 4D Minkowski spacetime, once the latter is established.

Assumptions for Nulltime:  There are no assumptions, except the validity of
                              mathematical principles.

Assumptions from Nulltime: a) The 4D universe can be mathematically described
                                  as a Riemannian Hypersphere, rendering the
                                  universe as a 3D-surface (Poincare's 3-Sphere). 
                           
                               b) The Hypersphere is mapped onto a 5D-deSitter
                                  space, using the geometry of a 7D-Joyce manifold
                                  to create the 11D-Witten sphere.

                               c) The 5D-Klein-Kaluza space is holographically
                                  mapped in the topology of a Calabi-Yau manifold
                                  as the 12D-Vafa sphere.

Assumptions a), b) and c) are definable in the mathematics of differential geometry,
Tensor matrices and perturbation models in superstring theories, as well as in nonlinear
models regarding the dynamics of an evolving spacetime in 12 dimensional F-space,
mirrored in the 11D-Witten mirror of closure and manifesting in the 10D-space of
hyperbolic curvature, the latter describing the measurable universe in all its parameters
using the locally applied spacetime metric and its derivations.

The Einstein-Friedmann formulation of GR leads directly to the Schwarzschild solution for
the universe as a Black Hole White Hole duality, connected in a wormhole singularity.
We now show the derivation of this solution from Nulltime and from mathematical principles
alone, without resort to the spacetime metric.

  Define a cycletime n=Ho.t, where n becomes a nodal counting number and Ho is a
fundamental frequency for that nodal oscillation.
Then dn/dt=Ho as a nodal Hubble-Constant.
Ho=c/r(n), with r(n) the scalefactor for a as yet nonexistent displacement function and c
is a fundamental constant relating to velocity.

  Using mathematical considerations of exponential growth/decay, we can define a
generalised Scalefactor as: r(n)=rmax[1-1/(n+1)], which specifies a parametrised velocity
v(n)=c/(n+1)^2 and a parametrised acceleration a(n)=-2cHo/(n+1)^3 (the latter being known
as Milgrom acceleration in MOND theories).

  Substituting r(n) into Vc^2(+-)Rc^2=4GMRc/(3piC^2) and multiplying by the limiting Chaos
Constant (Feigenbaum Delta=3pi/2), the Schwarzschild solution is obtained in 2GMRc/C^2.

 This is equal to r(n){1/T^2(n)(+-)1}=2A, say, with T^2(n)=1=X(X+1)=-i^2 in the Feynman-
Path-Integral as alternative quantum mechanical interpretation for the equations of Schroedinger,
Dirac and Klein-Gordon via the summation: T(n)=n(n+1)=(-n)+..(-1)+0+1+..n.

  {Eventually, this results in the universalcosmic wavefunction connecting F-Space to C-Space
and mirrored in M-Space about the Functional-Riemann-Bound (FRB=-1/2) in a gaussian
distribution of 'frozen' spacetimes in the formulation of: B(n)=[2e/hA].exp(-Alpha.T(n))}.

  Conclusion hitherto: The measurable and metricised universe is a derivative from an C-M-F-
Space scenario which forms a macroquantisation of elementary building blocks, which might
be termed 3-branes of F-space.

  Considering the universe to be a selfenclosed entity, defined in the spacetime metric, we then
proceed to define a critical density for closure in M-space via: rho=Mcritical/Vmax=3Ho^2/(8piG),
using the definition of rmax in the parametrisation defined before.

  Definition of a seedling mass Minitial={E.Mc^2.Mp^2/Me^2}^1/2, with Mc, Mp and Me specifying
as yet unmeasured masses for elementary particle/vibration states (protonucleon,protoPlanckBoson 
and protolepton), subsequently defines an initialising parameter for cosmic architecture (Sarkar
Constant A) in  a deceleration parameter given as: Minitial/2Mcritical=qo.

  But qo=GoMo/(c^2rmax) defining the Schwarzschild solution from first principles.
qo also becomes definable as the ratio of the Einstein Lambda at initialisation of spacetime
(Lambda-nought) tothe deBroglie matter wave acceleration at that phasechange from the NullTime
fluctuation into its metrification.

  Conclusion: The universe is a macroquantised 3-brane, simultaneously existing in 12D-Fspace and
10D-Cspace, both reflected and negative curvatures becoming 'smoothened' out by the closure of
11D-Mspace.

  Whilst the mathematical underpinning of the integrated and metricased universe becomes formidable,
the basic premise and nature of omnispace (10-13D) is reduced to a common parametrisation of
wormhole parameters leading directly to an encompassing form of GR.

                                       Sincerely,in fraternity                         Tony  Sirebard