  The constant h is elevated to a dynamical field, coupling to other fields,
and itself, through the Lagrangian density derivative terms. The spatial and
temporal dependence of h falls directly out of the field equations themselves.
Three solutions are found: a free field with a tadpole term; a standing-wave
non-propagating mode; a non-oscillating non-propagating mode. The first two are
quantizable, and the third is not. The third corresponds to a zero-momentum
classical field that naturally decays spatially to a constant with no ad-hoc
terms added to the Lagrangian. An attempt is made to calibrate the constants in
the third solution based on experimental data. The three fields are referred to
as actons. It is tentatively concluded that the acton origin coincides with a
massive body, or point of infinite density, though is not mass dependent. An
expression for the positional dependence of Planck's constant is derived from a
field theory in this work that matches in functional form that of one derived
from considerations of Local Position Invariance violation in GR in another
paper by this author. Astrophysical and Cosmological interpretations are
provided. A treatment of variable Planck's constant in a path integral is
appended.
