Drawing links: Matter, Mass-energy, Space-time, and the Geometric Universe

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Old 12-23-2006
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Drawing links: Matter, Mass-energy, Space-time, and the Geometric Universe

Here's the challenge, and I am going to start it.

There is allot of threads here on Hypography regarding the nature of our Geometric universe. If this information was collected together into a more readable format where one can make sense of it, I believe a more complete understanding would arrise and a new layer of discussion could arrise.

Here are the main ones that I see.
A query about Blackholes
Science Breakthrough of the year
Relative Quantum Charge Dynamics
A simple Geometric Proof with Profound consequences by DoctorDick
Is 'time' a measurable variable?
Resolution of the Relativity/Quantum Mechanics Conflict

Geometrization Conjecture, Wikipedia
Poincare Conjecture, Wikipedia

I have a feeling that all of these are very much interrelated. I am interested in connecting the disperate threads of the forums together and discussing the consequences of their relationships.
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Old 01-08-2007
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Re: Drawing links: Matter, Mass-energy, Space-time, and the Geometric Universe

Alright, After taking time to consider I would like to talk briefly about an interesting correlation.

DoctorDick poised a slight alteration to Einstein's:


If I am not mistaken this is major if considered in conjunction with the Poincare conjecture and Geometrization conjecture. As it would seem this lends itself to a 3-space closed manifold.

Furthermore it can be taken together with the mass conjecture that results (see Doctor Dick's paper above), in which mass is momentum propagating along the axis. What this results in, if I am not mistaken, and I am no math wiz but none the less what I visualize is a 4 dimensional object "submerged" in a three dimensional space. For moving mass this is a propagating disturbance on the hypersurface of the 3-space closed manifold. In which case mass is analogous to bump mapping on the hypersurface.

I realize that isn't an easy thing to visualize. So a word on hypersurfaces. A hypersurface is the "surface" of a n dimensional manifold. If you have a 3 dimensional space, a 2-space closed manifold like a sphere, then the surface of the sphere is the sphere's sub manifold and area. If you extend this to a 3-space, then the "surface" is 3 dimensional. the hypervolume is 4 dimensional.

I would suggest looking into such things independently, as I realize my short comings in mathematics, and so my limitations of expression.
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Last edited by KickAssClown; 01-08-2007 at 11:45 AM.
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