## Could the Dynamics of Kähler Action Predict the Hierarchy of Planck Constants?

**Authors:** Matti Pitkänen

The original justification for the hierarchy of Planck constants came from the indications that
Planck constant could have large values in both astrophysical systems involving dark matter and
also in biology. The realization of the hierarchy in terms of the singular coverings and possibly also
factor spaces of CD and CP_{2} emerged from consistency conditions. It however seems that TGD
actually predicts this hierarchy of covering spaces. The extreme non-linearity of the field equations
defined by Kähler action means that the correspondence between canonical momentum densities
and time derivatives of the imbedding space coordinates is 1-to-many. This leads naturally to the
introduction of the covering space of CD x CP_{2}, where CD denotes causal diamond defined as
intersection of future and past directed light-cones.

**Comments:** 5 Pages.

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### Submission history

[v1] 16 Jun 2010

[v2] 2012-01-30 21:40:48

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