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01-30-2008, 03:46 PM
Re: quadratrix of Hippias

Yeah, that would be the point, Antonio, where asymptotic freedom is zero. I just wouldn't call it infinity.
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01-30-2008, 03:52 PM
Re: quadratrix of Hippias

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It only appears flat within the rationa quantuml limit of measureability.
OK that went over my head.
I thought I heard or read that Euclidian geometry was being used for our universe though, or is that wrong also?

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Pat
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01-30-2008, 04:04 PM
Re: quadratrix of Hippias

If all that is used is Euclidean Geometry, then QM and GR will never be unified. Only by using Fractal Geometry can GR function identically to QM.

It's over everybody's head, Pat.
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01-30-2008, 06:02 PM
Smile Re: quadratrix of Hippias

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I did some investigations and my conclusion is that it is a virtual volume. But volume is an extensive variable. The trick is then to make it intensive. I dont know how to do that.

You are not alone there,neither do I!


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01-30-2008, 08:38 PM
Re: quadratrix of Hippias

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Originally Posted by Profpat View Post
OK that went over my head.
I thought I heard or read that Euclidian geometry was being used for our universe though, or is that wrong also?

Best,

Pat
It depends what you mean here. If you're talking about the everyday person, calculating everyday things on the surface of the earth then yes, they would use Euclidean geometry. However, cosmologists or more specifically astrophysicists do not. This is due to Einstein's theory of relativity which says that space(time) is curved by objects sitting in the space-time. Thus, if one wants to study the universe, then one will need to use Non-Euclidean geometry. More specifically, such people would use Riemannian geometry which is basically a version of non-Euclidean geometry in which the curvature of the space-time varies from point to point.

I hope this helps, and wasn't unnecessarily complicated!
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