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Temperature is a measure of a quality of a state of a material[35] The quality may be regarded as a more abstract entity than any particular temperature scale that measures it, and is called hotness by some writers.

[36] The quality of hotness refers to the state of material only in a particular locality, and in general, apart from bodies held in a steady state of thermodynamic equilibrium, hotness varies from place to place.

It is not necessarily the case that a material in a particular place is in a state that is steady and nearly homogeneous enough to allow it to have a well-defined hotness or temperature.

Hotness may be represented abstractly as a one-dimensional manifold.

Every valid temperature scale has its own one-to-one map into the hotness manifold.

[37][38] When two systems in thermal contact are at the same temperature no heat transfers between them.

When a temperature difference does exist heat flows spontaneously from the warmer system to the colder system until they are in thermal equilibrium.

Heat transfer occurs by conduction or by thermal radiation.

[39][40][41][42][43][44][45][46] Experimental physicists, for example Galileo and Newton,[47] found that there are indefinitely many empirical temperature scales.

Nevertheless, the zeroth law of thermodynamics says that they all measure the same quality.

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