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I wonder if there is any relation at all to the "grains" and Heim's "metrons".

A single elementary particle is characterized not only by and the limiting distances R+- of its gravitational field, but also by its Compton wavelength. R- vanishes in empty space when the mass of the field source approaches zero, while R+, , and the Compton wavelength all diverge. However, since the smallest geometrical unit must be a real number and a property of empty space its value has to remain finite. As shown in [1], only a single product having this property can be formed from the 4 characteristic lengths above. The result is an area, , bounded on all sides by geodesics, whose present numerical value is = ca. 6.15x10-70 m2. This quantity, called a metron, represents the smallest area existing in empty space and requires the differential calculus to be replaced by a calculus of finite areas. Accordingly, a whole chapter in [1] is devoted to the development of a difference calculus considering the finite area of . This enables any differential expression to be metronized. It follows that in any subspace Rn, whose dimensionality n is divisible by 2, the geometrical continuum is replaced by a metronic lattice formed by n-dimensional volumes bounded on all sides by metrons. Thus, R6 and R12 are 6-dimensional and 12-dimensional metronic lattices, respectively. Since all dimensions are metronized, even time proceeds in finite, calculable steps. By the use of a difference calculus it becomes possible to consider in the nonlinear system of geometric structures in R6. - Bastic Thoughts of Heim's Theory

Heim Theory got Simple explanation for that. Every field got "field mass" associated with it:
http://www.engon.de/protosimplex/posdzech/px_g_gravi1e.htm

Because of equivalence of mass and energy Heim says there must also exist a field mass of the field energy of each field. However in case of gravitational field this results in a secondary (very weak) additional gravitative source because a field mass possesses its own gravitational field.
In a volume V0 there is mass which may be distributed in any kind. This mass is producing a gravitation effect, as it can be described with Newton's approximation. Now Heim says that to the energy of this gravitational field corresponds its own field mass. This field mass again produces a second additionally gravitational field which is very weak. Again this field possesses its own field mass which produces a field. So you receive an infinite series, which however converges very fast against a calculable limit value.
The whole description results in a short mathematical description for a corrected gravitation law, which corresponds with Newton's gravitation law within the observable area of space. However for very large distances it will provide completely different results. As you can see in the illustration below for very long distances gravitation will produce a weak repulsing force which will only exist if a mass is moving toward the center of the gravitational field. Among other things the phenomenon of the cosmic red shift can be explained now as a gravitational effect.

/Joss

Exactly like you have written, there already exist explanation for this:
http://www.engon.de/protosimplex/posdzech/px_g_gravi1e.htm

Read more here:
http://en.wikipedia.org/wiki/Heim_theory
/Joss

This anomaly is not due to mysterious "dark energy", simply "mainstream" understanding of gravity is not complete.
Heim Theory predicted and explained this in 1950s:

http://www.engon.de/protosimplex/posdzech/px_g_gravi1e.htm
Read more here:
http://en.wikipedia.org/wiki/Heim_theory
/Joss

We need new, better Physics to explain these things properly. Something like Heim Theory in which gravitation is repulsive for great distances:
http://www.engon.de/protosimplex/posdzech/px_g_gravi1e.htm
Also cosmic red shift can be explained now as a gravitational effect, and not as Doppler effect.

Because of equivalence of mass and energy Heim says there must also exist a field mass of the field energy of each field. However in case of gravitational field this results in a secondary (very weak) additional gravitative source because a field mass possesses its own gravitational field. Mass is producing a gravitation effect, as it can be described with Newton's approximation. Heim says that the energy of this gravitational field corresponds its own field mass. This field mass again produces a second additionally gravitational field which is very weak. Again this field possesses its own field mass which produces a field. So you receive an infinite series, which however converges very fast against a calculable limit value.
The whole description results in a short mathematical description for a corrected gravitation law, which corresponds with Newton's gravitation law within the observable area of space. However for very large distances it will provide completely different results. For very long distances graviton will produce a weak repulsing force which will only exist if a mass is moving toward the centre of the gravitational field. Among other things the phenomenon of the cosmic red shift can be explained now as a gravitational effect.

1. EHT (Extended Heim Theory) allows to easily calculate particle masses using only some physical constants. You can check this Heim Mass Calculator: http://www.daimi.au.dk/~spony/HeimMassFormula/HeimCalculator
2. Succesful prediction of masses of neutrinos.
3. Prediction of Heim-Lorentz force which most likely is being observed in ESA experiments performed by Dr. Martin Tajmar. During these experiments artificial gravity is being created.
   • ESA news about Tajmar experiments http://www.esa.int/SPECIALS/GSP/SEM0L6OVGJE_0.html and some other news.
   • M.Tajmar recent papper which references EHT (Droscher&Hausner): http://arxiv.org/pdf/0707.3806
   • Theoretical explanation of Tajmar Gravito-Magnetic experiments by Droscher&Hausner: http://www.hpcc-space.de/publications/documents/LauncherSymPaper2007-0-42JHCorrected22April.pdf
     This paper also contains proposal of modified experiment which will allow to verify if EHT is true and also allow to build very effective propulsion engine for spaceships. See this article: http://www.newscientistspace.com/article/mg18925331.200
4. Reasonable explanation why CMB Cold Spot appears to be cold without mumbling about Dark Matter/Dark Energy, thanks to Heim's corrected gravitional law.
5. EHT explains why it appears that there is not enough mass observable in the Universe without using Dark Matter concept.
6. EHT most likely explains weird effects measured during Gravity Probe B experiment, see: http://www.hpcc-space.de/publications/documents/FieldPropulsion.pdf.
   These effects are in agreement with Martin Tajmar findings, see: http://arxiv.org/pdf/0707.3806
7. Droscher&Hausner paper about space propulsion based on Heim theory http://www.hpcc-space.de/publications/documents/aiaa2004-3700-a4.pdf was awarded by AIAA in 2004.