Principle of material objectivity is an obsolete term and should be replaced by principle of material frame-indifference.
Here is a precise statement of the Principle:
The constitutive laws governing the internal conditions of a physical system and the interactions between its parts should not depend on whatever external frame of reference is used to describe them.
"I was responsible for introducing the obsolete term in 1958 and now regret that I misled a lot of people", Walter Noll.
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