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Abstract: Both classical and quantum mechanics assume that physical laws are invariantunder changes in the way that the world is labeled. This Principle ofDecompositional Equivalence is formalized, and shown to forbid finiteexperimental demonstrations that given pointer states |p1> and |p2> refer tothe same physical system S. It is then shown that any extra-theoreticalassumption that given pointer states |p1> and |p2> with indistinguishablecoefficients in a Schmidt basis for the universe refer to the same physicalsystem S is stronger than the assumption of classicality. Standardinterpretations of quantum mechanics make such as assumption in analyzingmeasurement; hence they are logically inconsistent.

Author: Chris Fields


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