**Cosmological relevance of microtubules to the size of the electron as conformal wormhole quantization in quantum geometry**

Dear Stuart!

I watched your presentation

http://www.youtube.com/watch?v=jXBfXNW6Bxo

and would like to comment on this page, relating the number of microtubules to the actual scale of the classical electron radius, as this might be a missing link to relate your theory (and Roger's CCC btw) to the cosmology and the underpinning fact of physical consciousness relating to the cosmological spacetime matrix.

Using this conformal mapping from the Quantum Big Bang 'singularity' from the electric charge in brane bulk space as a magnetic charge onto the classical spacetime of Minkowski and from the Planck parameters onto the atomic-nuclear diameters in 2R_{e}c^{2} = e* from the Planck length conformally maps the Planck scale onto the classical electron scale.

This is addressed in my comment on Roger's CCC -Weyl model below.

But watching your presentation as indicated in the screenshots below; added to this conformal scale mapping in your scale of 2.5 fm, which is of course close to the classical electron radius and as defined in the alpha electromagnetic fine structure and the related mass-charge definition for the eigen energy of the electron in m_{e}c^{2}=ke^{2}/R_{e}.

Also in my model of quantum relativity there is a quantization of exactly 10^{10} wormhole 'singularity-bounce' radii defining the radian-trigonometric Pi ratio as R_{wormhole}/R_{electron} = 360/2π.10^{10} or 10^{10} = {360/2π}{R_{e}/r_{wormhole}} as a characteristic number of microtubules in a conformal mapping from the classical electron space onto the 'consciousness' space of the neuron-cell intermediate between the Hubble scale of 10^{26} m and the Planck scale of 10^{-35} m as geometric mean of 10^{-4} to 10^{-5} metres.

**Conformal Cyclic Cosmology (CCC) and the Weyl Curvature Hypothesis of Roger Penrose**

The pre-Big Bang 'bounce' of many models in cosmology can be found in a direct link to the Planck-Stoney scale of the 'Grand-Unification-Theories'. In particular it can be shown, that the Squareroot of Alpha, the electromagnetic fine structure constant, multiplied by the Planck-length results in a Stoney-transformation factor L_{P}√α = e/c^{2} in a unitary coupling between the quantum gravitational and electromagnetic fine structures {G_{o}k=1 and representing a conformal mapping of the Planck length onto the scale of the 'classical electron' in superposing the lower dimensional inertia coupled electric charge quantum 'e' onto a higher dimensional quantum gravitational-D-brane magnetopole coupled magnetic charge quantum 'e*' = 2R_{e}.c^{2} = 1/hf_{ps} = 1/E_{Weyl wormhole} by the application of the mirror/T duality of the super membrane E_{ps}E_{ss }of heterotic string class HE(8x8)}.

The standard model postulates the Big Bang singularity to become a 'smeared out' minimum space time configuration (also expressible as quantum foam or in vertex adjacency of Smolin's quantum loops). This 'smearing out' of the singularity then triggers the (extended) Guth-Inflation, supposedly ending at a time coordinate of so 10^{-32} seconds after the Big Bang.

If the Guth-Inflation ended at a time coordinate of 3.33x10^{-31} seconds coordinate, the Big Bang became manifest in the emergence of space time metrics in the continuity of classical general relativity and the quantum gravitational manifesto and say from a Higgs 'False Vacuum' at the 'bounce-time' reduced in a factor of so 11.7.

This means, that whilst the Temperature background remains classically valid, the distance scales for the Big Bang will become distorted in the standard model in postulating a universe the scale of a 'grapefruit' at the end of the inflation.

The true size (in Quantum Relativity) of the universe at the end of the inflation was the size of a wormhole, namely at a Compton-Wavelength (Lambda) of 10^{-22 } meters and so significantly smaller, than a grapefruit.

Needless to say, and in view of the CMBR background of the temperatures, the displacement scales of the standard model will become 'magnified' in the Big Bang Cosmology of the very early universe in the scale ratio of say 10 cm/10^{ -20 }cm=10^{21} i.e. the galactic scales in meter units.

A result of this is that the 'wormhole' of the Big Bang must be quantum entangled (or coupled) to the Hubble Horizon.

And from this emerges the modular duality of the fifth class of the superstrings in the Weyl-String of the 64-group heterosis.

The Big Bang wormhole becomes a hologram of the Hubble Horizon and is dimensionally separated by the Scale-parameter between a 3-dimensional space and a 4-dimensional space.

Then the 5-dimensional spacetime of Kaluza-Klein-Maldacena in de Sitter space forms a boundary for the 4D-Minkowski-Riemann-Einstein metrics of the classical cosmology. This can be revisited in the multi-dimensional membrane cosmologies.

The outer boundary of the second Calabi Yau manifold forms an open dS space-time in 12-dimensional brane space (F-Vafa 'bulk' Omnispace) with negative curvature k=-1 and cancels with its inner boundary as a positively curved k=1 spheroidal AdS space-time in 11 dimensions to form the observed 4D/10-dimensional zero curvature dS space-time, encompassed by the first Calabi Yau manifold.

A bounded (sub) 4D/10D dS space-time then is embedded in a Anti de Sitter (AdS) 11D-space-time of curvature k=+1 and where 4D dS space-time is compactified by a 6D Calabi Yau manifold as a 3-torus and parametrized as a 3-sphere or Riemann hypersphere.

The outer boundary of the 6D Calabi Yau manifold then forms a mirror duality with the inner boundary of the 11D Calabi Yau event horizon.

The Holographic Universe of Susskind, Hawking, Bekenstein and Maldacena plays a crucial part in this, especially as M-Theory has shown the entropic equivalence of the thermodynamics of Black Holes in the quantum eigenstates of the classical Boltzmann-Shannon entropy mathematically.

The trouble with the Susskind googolplex solutions is that the 'bulk landscape solutions' fail to take into account the super string self transformations of the duality coupled five classes. They think that all five classes manifest at the Planck-scale (therefore the zillions of solutions), they do not and transform into each other to manifest the Big Bang in a minimum space time configuration at the Weylian wormhole of class HE(8x8).

Roger Penrose has elegantly described the link of this to classical General Relativity in his "Weyl Curvature Hypothesis".

Quote from:'The large, the Small and the Human Mind"-Cambridge University Press-1997 from Tanner Lectures 1995"; page 45-46:

"I want to introduce a hypothesis which I call the 'Weyl Curvature Hypothesis'. This is not an implication of any known theory. As I have said, we do not know what the theory is, because we do not know how to combine the physics of the very large and the very small. When we do discover that theory, it should have as one of its consequences this feature which I have called the Weyl Curvature Hypothesis. Remember that the Weyl curvature is that bit of the Riemann tensor which causes distortions and tidal effects. For some reason we do not yet understand, in the neighbourhood of the Big Bang, the appropriate combination of theories must result in the Weyl tensor being essentially zero, or rather being constrained to be very small indeed.

The Weyl Curvature Hypothesis is time-asymmetrical and it applies only to the past type singularities and not to the future singularities. If the same flexibility of allowing the Weyl tensor to be 'general' that I have applied in the future also applied to the past of the universe, in the closed model, you would end up with a dreadful looking universe with as much mess in the past as in the future. This looks nothing like the universe we live in. What is the probability that, purely by chance, the universe had an initial singularity looking even remotely as it does?

The probability is less than one part in (10^{10})^{123}. Where does this estimate come from? It is derived from a formula by Jacob Bekenstein and Stephen Hawking concerning Black Hole entropy and, if you apply it in this particular context, you obtain this enormous answer. It depends how big the universe is and, if you adopt my own favourite universe, the number is, in fact, infinite.

What does this say about the precision that must be involved in setting up the Big Bang? It is really very, very extraordinary, I have illustrated the probability in a cartoon of the Creator, finding a very tiny point in that phase space which represents the initial conditions from which our universe must have evolved if it is to resemble remotely the one we live in. To find it, the Creator has to locate that point in phase space to an accuracy of one part in (10^{10})^{123}. If I were to put one zero on each elementary particle in the universe, I still could not write the number down in full. It is a stupendous number". End of Quote

Then the 'phase spaced' de Broglie inflation is in moduar quantum entanglement with the Weyl-Wormhole of the Zero Curvature of Roger Penrose's hypothesis.

The Hubble-Universe consists of 'adjacent' Weyl-wormholes, discretisizing all physical parameters in holofractal selfsimilarity.

Penrose's Weyl-tensor is zero as the quasi-reciprocal of the infinite curvature of the Hubble Event Horizon - quasi because the two scales (of the wormhole and Hubble Universe) are dimensionally separated in the modular coupling of the 11D super membrane boundary to the 10D superstring classical cosmology of the underpinning Einstein-Riemann-Weyl tensor of the Minkowski (flat) metric.

The CCC Penrose model becomes compatible with the inflation scenarios; should the multiverse cosmology become defined as occurring parallel in time-continuity and not as parallel in space in a manner envisaged by Roger Penrose.