Objectivity and material indifference in arbitrary change of the reference system

Mathematics

Scientific paper

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Reference Systems, Relativity, Space-Time Functions, Astronomical Models, Cosmology, Covariance, Theoretical Physics, Transformations (Mathematics)

Scientific paper

The principle of relative indifference is formulated in the framework of the theory of relativity in which all local affine transformations of four-dimensional space-time are permitted as reference systems. Equations describing the relation between the observer and the observed reference system are introduced, and the properties of transformations are examined. A material function is defined and postulated to be observer invariant. The result of observer invariance, covariance, and isotropy of space together is material indifference.

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