Friday, January 11, 2008

Physics, part III

Referring to these two charts:
physics, part I
physics, part II

Some questions I would like to know the answer to:

Some of the labels, like "surface tension," "areal power loss," or "mass transport rate" are just things that happen to have the right units. Are there more fundamental terms to replace these? In what ways can two things be represented in the same units but be fundamentally different?

Mass is "really" energy (or is the mass actually moving at the speed of light in some dimension, so that this energy is really a kind of kinetic energy?) How does that affect this chart?

The relationship between "distance" and "first mass moment" seems different than the relationship between "velocity" and "momentum." How would we characterize this difference and what would be a more appropriate analogy for momentum in terms of distance rather than velocity?

Does energy have the same relationship to "area per second per second" that force has to acceleration, or that momentum has to velocity? Or is there something else that would be a better replacement for "area per second per second" which does have an analagous relationship?

Which of these is truly fundamental? According to my chart, mass, time, and space are fundamental. But I've seen arguments for energy, momentum, force, or action being truly fundamental. How would it change the chart to recast one of these as the underlying components of which the rest are made?

Why do we say everything in terms of "meters per second" instead of "seconds per meter"? Is it possible to recast physics in these terms? Would there be any insight gained?

Is kinetic energy the same thing as "mass square meters per second squared" or is it just that it is proportional to it with a constant of proportionality equal to one?

I can see two ways to get "meters squared." One is to multiply meters that are perpendicular to each other, to get area. The other is to multiply meters that are heading in the same direction, which wouldn't return area. I'm not sure what it would return. Are energy, power, and action related to area, or that other thing?

Besides density, is there anything we have a word for that lies off the boundaries of this chart?

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