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The thermal properties of ice, liquid water and steam are at odds withstatistical theories applied to many-body systems. Here, these properties arequantitatively explained with a bulk-scale matter field emerging from theindefinite status of the microscopic constituents. Such a field ischaracterized by its symmetry in spacetime, its degree of degeneracy and itseigenstates. There are several one-to-one correspondences bridging outcomes ofclassical and quantum measurements. (i) The heat capacities are linked to thesymmetry of the field for each phase of water. (ii) The latent heats are linkedto the change of the degree of degeneracy for each transition. (iii) Thecritical 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

A unified quantum-classical theory of the thermal properties of ice, liquid water and steam