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    In the modal interpretation, definite properties are assi... — Carmelics
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    Challenges→Process separability fails in the modal interpretation of quantum mechanics.

    In the modal interpretation, definite properties are assigned to subsystems via the biorthogonal decomposition, preserving local ontological distinctness.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Biorthogonal decomposition mathematically extracts unique factorizations of compound quantum states, providing objective basis for subsystem property assignment.
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    • 2.Local ontological distinctness avoids action-at-a-distance by grounding each subsystem in its own definite properties independent of spatially separated parts.
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    • 3.Modal interpretation recovers classical intuitions about subsystems having determinate states without requiring wave function collapse or many-worlds branching.
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    Reasons Against

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    • 1.Biorthogonal decomposition is non-unique for generic entangled states, undermining claims that it uniquely determines 'definite' subsystem properties objectively.
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    • 2.Assigning properties via decomposition depends on choice of subsystem partition, making properties relational rather than intrinsic, contradicting local distinctness.
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    • 3.Modal interpretation lacks empirical predictions distinguishing it from standard QM, raising questions about whether property assignment adds genuine ontological content.
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    Related

    Assigning properties via decomposition depends on choice of subsystem partition,...Biorthogonal decomposition is non-unique for generic entangled states, undermini...Biorthogonal decomposition mathematically extracts unique factorizations of comp...Local ontological distinctness avoids action-at-a-distance by grounding each sub...
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    Modal interpretation lacks empirical predictions distinguishing it from standard...Modal interpretation recovers classical intuitions about subsystems having deter...Process separability fails in the modal interpretation of quantum mechanics.

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