temperature invariant length
I was thinking about lengt/temperature/temperature coefficient. Not very useful, but you could measure and compare sizes across temperatures.
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That's pretty much what a mercury thermometer does. As the temperature changes so does the volume of the mercury, which causes the level to move up and down, and the temperature scale on the side is just a measure of how high the mercury reaches.
That's just mass with extra steps
Not really, it is just length with adjustment for thermal expansion.