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    Inverse View

    It is not the case that In the modal interpretation, definite properties are assigned to subsystems via the biorthogonal decomposition, preserving local ontological distinctness.

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    Reasons For

    1 perspective
    Reason for
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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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    Reasons Against

    1 perspective
    Reason against
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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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