Lending an ear to the dimensionality of the space
نویسنده
چکیده
Since the laws of physics are essentially based on our feeling of the real word , it seems natural to consider the problem of the space dimcnsionnality. The usualconception of the space follows from the vision and leads to the conviction that dimensionality of the real word is 3; a similar approach hut using the ears is done in this work. An acoustical source emits an impulse in an homogeneous and isotropic n dimensional space. The Green function obtained shows that odd and even dimensionolities have different behaviours. For odd dimensionalities the Green function is a combination of a step, a delta function and its derivatives; the step function is responsible of reverberation, the other give the structure of the impulse front which travels at the wave velocity. The even dimensionality use the half derivatives for expressing propagation, the wave propagation is subject to reverberation which decreases with the time, the wave velocity is not well defined and the signal transmission and consequently the communication arc difficult if not impossible.
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تاریخ انتشار 1998