  The paper develops an earlier proposition that the physical universe is a
finite system co-ordinatised by a very large finite field
$\mathrm{F}_\mathfrak{p}$ which looks like the field of complex numbers to an
observer.
  We construct a place (homomorphism) $\mathrm{lm}$ from a pseudo-finite field
$\mathrm{F}_\mathfrak{p}$ onto the compactified field of complex numbers in
such a way that certain multiplicative subgroups $'\mathbb{R}'_+$ and
$'\mathbb{S}'$ correspond to the polar coordinate system $\mathbb{R}_+$ and
$\mathbb{S}$ of $\mathbb{C}.$ Thus $\mathrm{F}_\mathfrak{p},$ $'\mathbb{R}'_+$
and $'\mathbb{S}'$ provide co-ordinates for physical universe.
  We show that the passage from the scale of units in $'\mathbb{R}'_+$ to the
scale of units of $'\mathbb{S}'$ corresponds to a multiplication (on the
logarithmic scale) by a very large integer $\mathfrak{i}$ equal approximately
to $\sqrt{\mathfrak{p}}.$ This provides an explanation to the phenomenon of
Wick rotation.
  In the same model we explain the phenomenon of phase transition in a large
finite system
