A new geometrization of Planck's constant is proposed, which also base
s on the torsion in the space-time. A quantity is introduced to descri
be the space-time dis-locations that appear due to torsion. It will be
pointed out that there is U(1)-like gauge invariance in this new geom
etrization. Using the gauge-potential decomposition, the quantity is q
uantized in units of the Planck length. The quantum number is determin
ed by Hopf indices and Brouwer degrees.