  The thermal properties of ice, liquid water and steam are at odds with
statistical theories applied to many-body systems. Here, these properties are
quantitatively explained with a bulk-scale matter field emerging from the
indefinite status of the microscopic constituents. Such a field is
characterized by its symmetry in spacetime, its degree of degeneracy and its
eigenstates. There are several one-to-one correspondences bridging outcomes of
classical and quantum measurements. (i) The heat capacities are linked to the
symmetry of the field for each phase of water. (ii) The latent heats are linked
to the change of the degree of degeneracy for each transition. (iii) The
critical temperatures are linked to the eigenstates of the potential operator.
The matter field leads to a complete representation of the phases of water,
free of hidden parameters and statistical ignorance
