  This paper examines the statistical mechanical and thermodynamical
consequences of variable phase-space volume element $h_I=\bigtriangleup
x_i\bigtriangleup p_i$. Varying $h_I$ leads to variations in the amount of
measured information of a system but the maximum entropy remains constant due
to the uncertainty principle. By taking $h_u\rightarrow 0^+$ an infinite
unobservable entropy is attained leading to an infinite unobservable energy per
particle and an unobservable chemical equilibrium between all particles. The
amount of heat fluxing though measurement apparatus is formulated as a function
of $h_I$ for systems in steady state equilibrium as well as the number of
measured particles or sub-particles so any system can be described as unitary
or composite in number. Some example systems are given using variable $h_I$.
