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Pi is wrong... really.

scientopia.org

1–6 of 6 posts

Re: Pi is wrong... really.

#4
Even worse is our definition of temperature... it should really be the reciprocal. The thermodynamic definition is:

1/T = dS/dE where S is entropy and E is energy

dS/dE has a nice intuitive ring to it "if I put a small amount of energy into the system, how will its entropy change", but since we declare that to be 1/T we allow crazy things like negative and infinite temperatures (these actually exist - and the negative temperatures are hotter than the positive ones).

Re: Pi is wrong... really.

#5
post #4

Even worse is our definition of temperature... it should really be the reciprocal. The thermodynamic definition is: 1/T = dS/dE where S is entropy and E is energy dS/dE has a nice intuitive ring to it "if I put a small amount of energy into the system, how will its entropy change", but since we declare that to be 1/T we allow crazy things like negative and infinite temperatures (these actually exist - and the negativ…

On the other hand, most heat transfer relations are proportional to delta-T, so a T' = 1/T definition would make thing like

q = h (T_2-T_1)

become

q = h( 1/T'_2 - 1/T'_1 )

Perhaps unlike the case for pi, I think there's a good argument here for keeping temperature as-is.