I understand that Planck's constant is essentially the ratio between the energy of a photon and its frequency.
There are 2 things that im trying to verify:
isn't the number that Planck's constant represents just an arbitrary result of the measurement system we use? As in, Planck's constant represents the ratio between 1 Joule and 1 Hertz? So if i assume correctly, Planck's constant is the increase in energy (in joules) that you would get from an increase in frequency of 1hz? Thus if i wanted to I could make an alternative unit for energy which had a 1 to 1 correspondence with hz, and no proportionality constant would be required?
So regardless of units used to measure, a fixed percentage increase in one quantity results in an equal percentage increase of the other, correct?