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04-21-2006, 01:31 PM
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Originally Posted by AntonioLao
That is the reason why there shouldn't be just one curvature but two linked curvatures, and their squares are absolute values of quantized spacetime. Again, they are coordinate free quantities.
True. By saing the sqaure of the two curvatures are the absolute values of quantized spacetime, do you mean that C1+C2=H (where c=curvature)? If so, then a curvature is equal to energy, and so it must be mc^2. Does the mass determine the length of the curvature, and the speed of light determine the curvature, or vice versa, or nothing to do with it?
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04-21-2006, 02:56 PM
principal curvature

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Originally Posted by GUILLE
do you mean that C1+C2=H
The sum of two principal curvatures is called the mean curvature. For our universe, this mean curvature is determined to be zero by astrophysicists unless the missing mass is found.
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Does the mass determine the length of the curvature
The mass affects the radius of curvature as inversely proportional, the greater the mass the shorter the radius. The radius of curvature of the universe is presently measured to be infinite in length. Einstein's mc^2 is good only for rest masses not for all the other mass definitions (kinetic, electromagnetic, etc.).
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04-21-2006, 03:03 PM
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Originally Posted by AntonioLao
The mass affects the radius of curvature as inversely proportional, the greater the mass the shorter the radius. The radius of curvature of the universe is presently measured to be infinite in length. Einstein's mc^2 is good only for rest masses not for all the other mass definitions (kinetic, electromagnetic, etc.).
So then the speed of light doesn't determine anything about the curvatures? Then, if the mass affects the radius in inverse proportionality, what affects the length of the curvature, or the angle of curvature?

You say that Einstein's equation is onyl good for rest masses, but not for any other. And you include in the brackets "electromagnetic". What do you mean, is there a kind of 'electromagnetic mass'????? This is new for me! What is it, what does it mean, how can we know it's value???...... tell me all about it, I'm in love with the idea!
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04-24-2006, 02:00 PM
Lorentz force

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Originally Posted by GUILLE
what affects the length of the curvature, or the angle of curvature?
http://mathworld.wolfram.com/RadiusofCurvature.html The radius of curvature is inversely proportional to the absolute value of the curvature.
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What do you mean, is there a kind of 'electromagnetic mass'?
I remembered seeing the term but now I can't find the source. From my own educated guess is that electromagnetic mass is just the Lorentz force multiplied by a defined metric and divided by the square of light speed.
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04-24-2006, 03:05 PM
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Originally Posted by AntonioLao
http://mathworld.wolfram.com/RadiusofCurvature.html The radius of curvature is inversely proportional to the absolute value of the curvature.

I remembered seeing the term but now I can't find the source. From my own educated guess is that electromagnetic mass is just the Lorentz force multiplied by a defined metric and divided by the square of light speed.
What is that defined metric, and what determines it's value?

And, is the value of the electromagnetic mass equal to any of the other masses (what were the 4 types of masses? I can't remember).
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04-24-2006, 03:25 PM
norm

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What is that defined metric, and what determines it's value?
A metric is defined by a norm (or a distance) of the particular space-time in question see http://en.wikipedia.org/wiki/Metric_space.
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is the value of the electromagnetic mass equal to any of the other masses
Since the electromagnetic mass is related to the energy it changes. The rest mass is a constant. The inertial mass is inversely proportional to acceleration with the constant of proportionality as the inertial force. The gravitational mass is directly proportional to gravity. http://en.wikipedia.org/wiki/Mass
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