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Our reasoning is based on an assumption that models of physical system dynamics should properly
reflect the way descriptions of physical phenomena depend on reference frames and should be compatible
with thermodynamics. The across-through classification of variables does not meet these requirements.
By contrast, the classification of variables based on the system-of-particles point of view that leads to an
analogy between force, pressure, and voltage on the one hand and velocity, fluid flow, and current on
the other not only satisfies these criteria, but is the least artificial from a common-sense point of view.
We believe this facilitates communication and promotes insight, which are the ultimate benefits of using
analogies.
Acknowledgments
Neville Hogan was supported in part by grant number AR40029 from the National Institutes of Health.
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