  A construction of the real 4D Minkowski space-time starting from quantum
harmonic oscillators is proposed. First, a 2D spinor space and its dual are
derived from the standard commutation relations obeyed by the ladder operators
of two independent 1D harmonic oscillators. The complex 4D Minkowvski vector
space V is then constructed from these spinor space. The flat, real 4D
Minkowski manifold is finally built as an approximate description of a manifold
of unitary operators constructed from V. Lorentz invariance is recovered and
several possible extensions are discussed, which connections to quantum optics
and condensed matter physics.
