Klein's Ordering of Geometries

Posted by sol on September 02, 2003 at 05:32:01:

Klein's Ordering of Geometries

A theorem which is valid for a geometry in this sequence is automatically valid for the ones that follow. The theorems of projective geometry are automatically valid theorems of Euclidean geometry. We say that topological geometry is more abstract than projective geometry which is turn is more abstract than Euclidean geometry.

The method of consistancy requires a "framework" in which to consider the proposal I have been offering and Lancecove is correct on the requirement of, a core value system from which I measure. So I am laying out this persepctive in a beginning here, and will try and divide my post here into proper analysis in Kleins orderings.

So discriptively how is this done? In my view, I open with the principals I am expounding in a strings's length and immediately there are consequences in such a decision.

The geoemtrical consideration of point sources, have to be geometrically understood before issues of light source and burst are considered.

In this sense then a photon in its energy measure would equal U(1)= photon. Planck length and planck time become a issue here, yet we have discerned the basis of time reversal

Point source(time dilation) would have identified the geometrical expression either way, as contractive or expansive?

The dimensional significance of this post becomes the foundation of geometrical expressionism, along the lines I am thinking. The next post to the one linked here in this paragraph follows the developement of GR.

If there are any questions or correctin please do. I know I have yet to be clearer, but I am truly hoping I am making some in roads here. Osher's projective geometry becomes understod from a perspective, yet has lacked a more comprehensive view needed here in this post I am detailing.

Sol

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Follow Ups: (Reload page to see most recent)

• Re: Klein's Ordering of Geometries -- DickT 9/02/03 (0)
• The Geometrical Considerstions Lead us Here -- sol 9/02/03 (1)
  • Brane World and the House of Cards -- sol 9/02/03 (0)

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