  We recommended consequent discrete combinatorial research in mathematical
physics. Here we show an example how discretization of partial differential
equations can be done and that quickly unexpected new findings can result from
research in this up to now unexplored area. We transformed the vacuum Maxwell
equations into finite-difference equations, provided simple initial conditions
and studied the development of the electromagnetic fields using special
software (see http://www.orthuber.com). The development is wave-like as
expected. But it is not trivial, the wave maxima have different heights. If all
(by definition minimal) finite differences of the location coordinates are
multiplied by numbers (coupling factors) whose squares are equal to the fine
structure constant, we noticed:
  1. The first two wave maxima have nearly the same height. Of course this can
be also coincidental.
  2. The following maxima are at first slightly decreasing and then, beginning
with the 6th maximum, exponentially increasing.
