01 January 1970 34 7K Report

Here are examples of problems involving dimension. (1) Galileo observed that weight in 3 dimensions puts pressure on the 2 dimensions of cross-sectional area of bone. He examines the issue from a scaling perspective. But from a dimensional perspective, how can a 3D weight somehow fill up 2D? (2) Minkowski space-time treats the 4 dim of space time equivalently. But how can the fourth dimension, non-spatial, be treated the same? Is there something about dimension that has been overlooked? (3) Astronomical observations of type SN1A in 1998 implied expanding space (so called dark energy). Suppose that energy in 4 dim, consisting of 3 dim space and 1 dim light motion is set in an empty 3 dim spatial reference frame. Then in 3 dim, there is 4/3 the energy per dim which would cause space to expand, thus (possibly) explaining dark energy. But how does energy in a 4 space get equally distributed among 4 dim when one of the dim represents light motion (a problem analogous to the problem with space-time)? Or, maybe there is no problem? Your views?

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