Abstract
The proper vibrations of homogeneous and isotropic space are characterized by the autonomous conservative oscillation of spatial volume element. The conserved energy of oscillation is different from zero only when the space has positive curvature, and hence, it is closed. However, the oscillations of volume element of closed space imply the change in the signature of first metric form of space-time. This means that the metric actually has singular points.
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Kulhànek, J. The proper vibration of space: II. Int J Theor Phys 4, 217–221 (1971). https://doi.org/10.1007/BF00673799
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DOI: https://doi.org/10.1007/BF00673799