**Shunichi Tsugé**

The classical turbulence theory by Kolmogorov is reconsidered using
Navier-Stokes' equation generalized to 6D physical-plus-eddy
space. Strong pseudo-singularity is shown to reveal itself along the
boundary `ridge' line separating the dissipation and inertial
sub-ranges surrounding the origin of the eddy space. A speculation is
made that this singularity is generated by two dipoles of opposite sign
aligned on the common axis. It is supported by the observation that the
universal power spectrum calculated rediscovers the Kolmogorov's -5/3 power law as independent of the dimensional approach.

- Introduction
- Kármán-Howarth formalism revisited as governing inhomogeneous turbulence
- Turbulence in eddy space
- Dimensional consideration on the existence of pseudo-singularity
- The pseudo-singularity in the inertial subrange
- Power spectrum for inertial subrange
- Conclusions
- Acknowledgment
- Reference