Introduction
Basic ideas and concepts
Z_{0} magnetic fields and hydrodynamics
Topics of the chapter
Manysheeted spacetime concept
Basic concepts related to topological condensation and evaporation
Can one regard # resp. #_{B} contacts as particles resp.
string like objects?
Number theoretical considerations
Physically interesting padic length scales in condensed matter systems
Hydrodynamical
and thermodynamical hierarchies
Dissipation
by the collisions of condensate blocks
Energy
transfer between different condensate levels in turbulent flow
The magnetic
fields associated with vortex and rigid body flows
Criticality
condition
Sonoluminescence and hydrodynamical hierarchy
pAdic
length scale hypothesis, hydrodynamic turbulence, and
distribution of primes
Thermodynamic Hierarchy
Configuration
space geometry and phase transitions
Basic ideas
of catastrophe theory
Configuration space geometry and catastrophe theory
Quantum TGD
and catastrophe theory

TGD based description of phase
transitions
Imbeddings of the
cylindrically symmetric flows
The general form
of the imbedding of the cylindrically symmetric rotational
flow.
Orders of
magnitude for some vacuum parameters
Critical radii
for some special flows
Transition to
turbulence in channel flow
Transition to
turbulence
Definition of
the model
Estimates for
the parameters
Kähler
fields associated with the cascade process
Order of
magnitude estimate for the change of the Kähler action and
Reynolds criterion
Phase slippage as mechanism for the decay
of vortices
