How would the universe will be if Planck's constant is found to be a number different from 6.626 x 10-34 m2 kg/s. For Example what if it were to be 1 somewhere? Hypothetical Question.
Planck constant is 1 in Planks units.
The same is true for G and c (speed of light)
These constants are not the parameters at all, they are just mere consequence of a bad choice of the units we used - meter, second etc.
What can be varied (and it is very interesting) if you vary parameters of the Standard Model.
I went through some calculations with having planck's constant as 1, it gave me answer like as we will go lock the door knob, we would like scatter in parts. I greatly suspect my effort. Can this be true? super unusual phenomenons with changed value?
Thanks Bob, that's exactly what i wanted. Science Fiction.
There are 2 cases:
You vary the parameters of the standard model and look (theoretically) what happens. Even question is theorectical, it is very important in understanding of the cosmology and life in our Universe.
But you can't change h in the same way you can change anything else. Of course, you can ask 'what happens if laws of our Universe were absolutely different. But it is a major change, not a minor change. (Max Tegmark call it level IV multiverse).
Again, h is not a constant or a parameter. Example:
We measure distance in meters, and surface- in square feets. Then the formula would be (h, w are height and width in meters):
S = 10.82 *h*w
The number 10.82 is a result of a bad choice of units. The same as h, G or c! In natural units the formula is
S = h*w
And the parameter simply dissapears. The same as h,G and c. So by asking 'what if h would be different' you are asking 'what if instead of 10.82 it would be 5.41' But it means that in natural units it would be
S = h*w/2
It is not just a different parameter, but different geometry and mathematics.