Re: When Euclid Model Stops working.........

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Posted by sol on August 13, 2003 at 18:43:43:

In Reply to: Re: When Euclid Model Stops working......... posted by DickT on August 13, 2003 at 07:41:00:

Dickt,

I am trying to pin down the ideas of hyperbolic andpshere considerations.

If we talk about space(euclidean) and we move to Minkowski metric, we have spacetime.

I am working from a paper here, and want to provide a good comprehension of this movement. It goes like this, that the Minkoswski metric, had a distance function dS² that can be negative, positive or zero, whereas the distance functions in space dL² can only be positive.

Geodesics for the Euclidean metric are straight lines, so space geodesics in the distance function is the pythagorean Rule. dL²=dX²+dY²

From space to spacetime, recognizes the ability of spacelike geodisics, null geodisics and time like geodisics.

Simplifiing this movement then, in higher geometries, seem easy, from the understanding of movement that is dynamical, but it definitely needs a deeper explanation and undertanding. I hope to seal that in mind.