Recent content by DBailen

While considering how to characterize space itself, it occurred to me that it behaves remarkably like a perfect inviscid fluid - offering no resistance to motion, maintaining perfect continuity, preserving patterns without loss. Not adding a substance to space (as in aether theory), but...

Thank you all for your responses. I understand your concerns about coordinate transformations and the Riemann tensor's 20 components vs. a vector field's 4 components. However, I may not have been clear enough about what I'm proposing. I'm not suggesting a simple coordinate transformation...

My thoughts were, if space is flattened, truly flattened and time were permitted to carry the distortion as a vector of change, (forgive my lingo problems) that spacetime would become a 3d vector field in many ways.

Using York decomposition as a foundation, can we reformulate General Relativity to treat space as flat (##R_{ij} = 0##), redistributing all curvature into a vector field for time (##\vec{t}_i##)? The York decomposition: $$\tilde{h}_{ij} = \phi^{-4} h_{ij}$$ $$\tilde{K}_{ij} = \phi^2 K_{ij}$$...