It From Bit and The Unsmooth Reality

In this short essay it is argued that the "It from Bit" idea is plausible when assuming "generalized bits", resulting from the Kolmogorov superposition theorem, as universal building blocks.Comment: 4 pages, submitted to FQXi 2013 Essay Contest - "It from Bit or Bit from It

On the concepts of radial and angular kinetic energies

We consider a general central-field system in D dimensions and show that the division of the kinetic energy into radial and angular parts proceeds differently in the wavefunction picture and the Weyl-Wigner phase-space picture. Thus, the radial and angular kinetic energies are different quantities in the two pictures, containing different physical information, but the relation between them is well defined. We discuss this relation and illustrate its nature by examples referring to a free particle and to a ground-state hydrogen atom.Comment: 10 pages, 2 figures, accepted by Phys. Rev.