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Structural information theory based on electronic configurations.

T W Barrett

    T.-I.-T. Journal of Life Sciences
    |January 1, 1975
    PubMed
    Summary
    This summary is machine-generated.

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    This study measures acoustical information transfer from 3D sound waves to a 1D membrane. It uses spherical coordinates and quantum number analogies to model wave packet behavior for the tympanic membrane.

    Area of Science:

    • Acoustics
    • Wave Physics
    • Information Theory

    Background:

    • Previous work derived informational 'quanta' where modulating envelopes are solutions to the Weber equation.
    • The Weber equation's geometry suggests resonance analogies with quantum numbers in chemistry.

    Purpose of the Study:

    • To extend geometrical formulations for acoustical information measurement.
    • To precisely define quantum number analogies using spherical coordinates for sound sources.
    • To translate 3D wave packets to a 1D representation for receivers like the tympanic membrane.

    Main Methods:

    • Solving the wave equation in spherical coordinates to model spherical sound sources.
    • Applying the Weber equation (Helmholtz equation in parabolic cylinder coordinates) to wave packet envelopes.

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  • Translating wave packet solutions from 3D spherical to 1D linear representations.

    • Main Results:

    • A precise geometrical meaning for 'azimuthal' and 'magnetic quantum number' analogies in acoustics was established.
    • Informational wave packets were successfully translated to a 1D representation suitable for the tympanic membrane.
    • Differences in constant variables between acoustical and electromagnetic energy descriptions were highlighted.

    Conclusions:

    • The geometrical formulation provides a framework for measuring acoustical information transfer.
    • The study bridges wave physics with information theory using quantum number analogies.
    • Acoustical energy description differs from electromagnetic by the number of constant variables in the formulation.