  A theory of special inconstancy, in which some fundamental physical constants
such as the fine-structure and gravitational constants may vary, is proposed in
pregeometry. In the special theory of inconstancy, the \alpha-G relation of
\alpha=3\pi/[16ln(4\pi/5GM_W^2)] between the varying fine-structure and
gravitaional constants (where M_W is the charged weak boson mass) is derived
from the hypothesis that both of these constants are related to the same
fundamental length scale in nature. Furthermore, it leads to the prediction of
dot{{\alpha}}/\alpha=(-0.8\pm2.5)\times10^{-14}yr^{-1} from the most precise
limit of dot{G}/G=(-0.6\pm2.0)\times10^{-12}yr^{-1} by Thorsett, which is not
only consistent with the recent observation of
dot{{\alpha}}/\alpha=(0.5\pm0.5)\times10^{-14}yr^{-1} by Webb et al. but also
feasible for future experimental tests. Also a theory of general inconstancy,
in which any fundamental physical constants may vary, is proposed in "more
general relativity", by assuming that the space-time is
"environment-dependent". In the general theory of inconstancy, the G-\Lambda\
relation between the varying gravitational and cosmological constants is
derived from the hypothesis that the space-time metric is a function of \tau,
the "environment-coodinate", in addition to x^{\mu}, the ordinary space-time
coodinates. Furthermore, it leads to the prediction of the varying cosmological
constant, which is consistent with the present observations. In addition, the
latest observation of spatial variation in the fine-structure constant from
VLT/UVES of (1.1\pm 0.2)\times 10^{-6}GLyr^{-1} by King et al. is suggested to
be taken as a clear evidence for environment-dependent fundamental physical
constants
