MATHEMATICAL MODEL OF HOLOGRAM
A light wave can be modeled by a complex number U which represents the electric or magnetic field of the light wave. The amplitude and phase of the light are represented by the absolute value and angle of the complex number. The object and reference waves at any point in the holographic system are given by U(o) and U(R). The combined beam is given by U(o) + U(R). The energy of the combined beams is proportional to the square of magnitude of the electric wave:
(Uo+UR)2
If a photographic plate is exposed to the two beams, and then developed, its transmittance, T, is proportional to the light energy which was incident on the plate, and is given by
T=k(U(o)+U(R))2
where k is a constant. When the developed plate is illuminated by the reference beam, the light transmitted through the plate, U(H) is
U(H)=T*U(R)
It can be seen that U(H) has four terms. The first of these is proportional to U(o), and this is the re-constructed object beam. The second term represents the reference beam whose amplitude has been modified by U(R)2 . The third also represents the reference beam which has had its amplitude modified by U(o)2 ;
this modification will cause the reference beam to be diffracted around its central direction. The fourth term is known as the "conjugate object beam." It has the reverse curvature to the object beam itself, and forms a real image of the object in the space beyond the holographic plate.
http://en.wikipedia.org/wiki/Holography
Is it possible to mimic our reality by a pure mathematic like a Tegmark's Mathematical Universe ?