  The connection between the Lorentz invariance violation in the lagrangean
context and the quantum theory of noncommutative fields is established for the
U(1) gauge field. The modified Maxwell equations coincide with other
derivations obtained using different procedures. These modified equations are
interpreted as describing macroscopic ones in a polarized and magnetized
medium. A tiny magnetic field (seed) emerges as particular static solution that
gradually increases once the modified Maxwell equations are solved as a
self-consistent equations system.
