Comfortable-Fail-558 t1_j6nsgt1 wrote
Reply to comment by Crux_AMVS24 in The direction of temperature is arbitrary. There is no reason for hot objects to be assigned a larger number than cold ones by Crux_AMVS24
I believe all you are saying is that a 1 to 1 function f(x) can be applied to another g(x) losslessly.
Similarly there’s no need to chart velocity on a linear scale or have ph be exponential. We can apply 1 to 1 functions to these at will to arrive at other mappings we can use without loss of information.
I think it’s likely a true statement but I won’t attempt to prove it.
Do you see any computational advantage to using your inverted mapping?
Crux_AMVS24 OP t1_j6nxkr1 wrote
Computationally, I don’t know. One advantage is related to the Maxwell velocity distribution curve, where the function is related to e^-(1/kT) where 1/kT is replaced by B. I would probably say, when it comes to explaining temperature non-rigourusly, it seems simpler in the current scale, but if we used the g(x) version, not much would have changed. Our scales would be calibrated differently, boiling water would be 0*C and the ideal gas equation would be PVT = nR but there wouldn’t be any contractions/problems or as you put it, loss of information
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