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Re: An Alternative to a singularity?
Dear Modest
I'd like to thank you for taking the time to help me understand the depth of Einstein's genius.
I would also like to ask you a favor. I am receiving a military disability for a head trauma that affects my ability to comprehend explanations presented in a mathematical format. Could please, wherever possible try to use words to explain concepts.
Einstein quantified the relativistic properties of space, time and gravity in terms of a curvature or displacement in a space-time manifold, in which time and space varies in accordance with the magnitude of that displacement.
I have been attempting to use qualitative arguments to show how it would be possible to predict those relativistic properties in terms of a spatial displacement in a "surface" of a three dimensional space manifold with respect to a four *spatial* dimension.
The displacements responsible for the relativistic properties of space and time in both environments have a common element in the three spatial dimensions; therefore, their performance will be identical. The only difference between them is that one defines a displacement in terms of a time variable while the other in terms a variable spatial distance.
However, Einstein based the relativistic properties of time on the fact that the speed of light is constant for all observers. But distance equals velocity times time. Therefore could one quantitatively define the spatial distance a three dimensional space manifold moves with respect to a fourth *spatial* dimension by multiplying the speed of light with the relativistic time change predict by Einstein for a given situation.
If so could one plug that value into the field equation that Einstein developed to quantify his concepts in terms of existence of four *spatial* dimension instead of four-dimensional space time.
Thanks again Jeff
Last edited by Jeffocal; 06-05-2009 at 06:32 AM..
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