摘要：

The first aim of this paper is to demonstrate that the treatment of nonlinear analysis by Wiener ("Nonlinear problems in random theory") from a mathematical standpoint which makes few concessions to physical bounding conditions, results in an analysis in integral theory parallel to the vectorial analysis of structural information theory [11].The second aim of this paper is to demonstrate how information is transferred from a threedimensional source of longitudinal waves to a one-dimensional tympanic membrane-ossicle system. In previous papers ([1], [12]), the author has demonstrated through the derivation of different forms of informational "quanta" that the modulating envelopes for the wave packets representing these quanta are functional solutions to the Weber equation (the Helmholtz equation in parabolic cylinder coordinates). The geometrical structure described by the Weber equation suggests a resonance effect existing between "angular momentum" involving an "azimuthal quantum number" and one involving a "magnetic quantum number" in analogy with structural chemistry formulations [12].In the present paper, the geometrical formulation is carried further. A sound source is commonly spherical, therefore solutions are found for the wave equation in spherical coordinates, giving a precise meaning to the "azimuthal" and "magnetic quantum number" analogy. These informational wave packets are then translated into a one-dimensional representation because of the nature of the receiver (the tympanic membrane-ossicle system). The difference between descriptions of electromagnetic and acoustical forms of energy is presented as consisting in the number of variables remaining constant in the acoustical formulation (as compared with the electromagnetic) but not in the basic geometrical formulations, which are primary.

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