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===First Thoughts=== This sounds suspiciously like photoemission or an atomic transition: <ol type="A"> <li> Let's say that when an electron is bound to a nucleus in a particular energy state, this state is represented by a "surface" — perhaps it should be a more volume-filling structure — whose multiple-aperture/grid structure (each subgrid square aperture having a different, specified opacity) both appropriately represents the wavefunction and defines a hologram. In this manner, when an electron is bound to an atomic nucleus, information regarding its position/momentum is viewed as a wave function (probability distribution). </li> <li>'''PHOTOIONIZATION:''' When a photon (of the proper frequency) strikes the atom, it can react with the wavefunction in such a manner that it ejects the electron. That is to say, the result of the light passing through (bouncing off of) the wavefunction (hologram) is to form a compact entity (the electron) that is moving away from the atomic nucleus.</li> <ol type="1"> <li>Note that if the incident ray of light has an incorrect frequency and/or hits the hologram at an incorrect angle, the resulting diffraction pattern does ''not'' generate the compact entity (electron). But it is natural to expect that the likelihood that the photon hits with the correct angle of incidence will be higher for axisymmetric wavefunctions (holographic surface) and will be even higher in the case of spherical symmetry.</li> <li> The direction the electron gets ejected should naturally be at a well-defined angle with respect to the direction of incidence of the initial ray of light (photon). </li> </ol> <li>'''EXCITATION (BOUND-BOUND TRANSITION):''' Perhaps the holographic surface is flexible, permitting it to undergo oscillations. The eigenfunctions corresponding to various modes of oscillation might in some way be associated with the holograms that represent other acceptable bound orbital levels. Then if the frequency of an incident photon resonates with one mode's associated oscillation eigenfrequency, the holographic structure could change to indicate that the electron has moved to a different orbital level.</li> </ol> Also, it "explains" why the atomic state cannot be measured without necessarily altering the state.
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