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It is not the case that Modal interpretations assign definite values via biorthogonal decomposition, which is basis-dependent and interpreter-relative, not ontologically fundamental.
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Reasons For
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Reason for
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1.
Biorthogonal decomposition is uniquely determined by system-environment correlations, not arbitrarily convention-dependent as claimed.
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2.
Basis-dependence of *descriptions* doesn't entail basis-dependence of *facts*; general relativity's coordinate-dependence doesn't undermine ontology.
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3.
Modal interpretations can assign definite properties to subsystems that are observer-independent even if decomposition varies with measurement context.
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Reasons Against
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Reason against
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1.
Biorthogonal decomposition depends on choice of Hilbert space basis, which is mathematically conventional, not physically privileged.
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2.
If value assignment requires an observer-dependent decomposition, it cannot constitute objective features of reality independent of measurement.
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3.
Ontological fundamentality requires basis-independence; modal interpretations lack this, so they describe epistemic rather than ontic facts.
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