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I am interested in an old idea going back to Einstein, Schrodinger and many others: whether it might be possible to model subatomic particles as relativistic objects.

This might seem like an idea that has been thoroughly tried and discarded because it did not seem to work. However, if one is willing to consider an alternative scaling for gravitation, e.g., discrete scale invariance, aka discrete conformal dilation invariance, then there might be life in the old idea yet.

I have a paper at arXiv.org that shows how one can retrodict the mass and the radius of the proton using this approach and the geometrodynamic version of the Kerr-Newman solution of the Einstein-Maxwell equations.

The link is: http://arxiv.org/ftp/astro-ph/papers/0701/0701006.pdf .

Two other things you can do with this approach that suggests it might be useful are a possible solution to the Vacuum Energy Density Crisis.

Link is: http://arxiv.org/ftp/arxiv/papers/0901/0901.3381.pdf [Broken]

Also it leads to a nice explanation for the fine structure constant.

Link is: http://arxiv.org/ftp/arxiv/papers/0708/0708.3501.pdf

Well, that is a lot to digest. But perhaps some readers will find this revised scaling for gravitation of interest and worthy of serious consideration.

If anyone wants to discuss the merits/problems of this approach or related ideas, I am at your service.

Yours in science,

Knecht

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# Elementary Particles as Kerr-Newman Black Holes

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