Losing Heisenbergs constant

1. Apr 28, 2007

droog

I'm very confused. Energy can be expressed as:

h.C/wavelength

So, in Planck units, the energy of the plank mass could be written

h-bar.C/Lp

h-bar is in units of m^2 S ^-1 and C is in m s^-1
In plank units h-bar=Lp^2 Tp^-1 and C=Lp/Tp
So h-bar.c/Lp=Lp^2. T^-1.Lp.T^-1.Lp^-1 = C^2

Giving energy for plank mass = C^2 and mass = 1

Where did Henisenberg’s constant go? How can it be lost by selecting a different form of notation?

2. Apr 28, 2007

Meir Achuz

Any constant with diumension can be transformed away by using suitable dimensions. For instance, if light years are used for distance and years for time,
c disappears.

3. Apr 28, 2007

droog

But surely we can't just "transform away" something like Heisenberg Uncertainty. I'm still missing something incredibly simple here.

4. Apr 29, 2007

Meir Achuz

The HUP comes from Fourier analysis where \Delta k \Delta x>1/2.
It is only when you want to talk in terms of momentum rather than k that hbar
enters.