36 Comments

  1. I'd go to "guage pressure" as an explaination of guage theory. When you pump up a tire, it is measured in respect to the ambient pressure for convenience. You change the reference point depending on elevation! That is absolute pressure is meaningless but relative pressure (as in a pressure difference) is physical.

    We could measure in respect to vacuum, but then we'd have huge numbers. Also, a pumped tire (as in it is hard) at one elevation will require a different pressure for the same hardness at another elevation. This is why when you go down a mountain your relative pressure "decreases". The reference point is at a higher pressure, so that pressure difference is less. If we had a fixed reference, it'd always measure the same value. Again, our guage transform is a map which changes the reference point of pressure according to the ambient pressure.

    *Note: you can change the reference pressure, but the pressure difference will allways be the same.

  2. let me add somthing to that salary and inflation analogy there : so for the employee to continue living like the before inflation: that employee want (old_money)+function(old_money) (like to match the rise of cost of living) and this new money is what keeps that employee invariant with that system changes.

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