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It is not the case that Decoherence suppresses interference terms in the reduced density matrix but does not eliminate the other branches of the universal wavefunction.
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Reasons For
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Reason for
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1.
Claiming branches 'exist' but are unobservable invokes unverifiable ontology indistinguishable from mere mathematical formalism.
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2.
Decoherence only explains apparent collapse relative to observers; it doesn't explain why we experience single outcomes, not superpositions.
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3.
If all branches remain equally real, the probability rule becomes mysterious—why assign Born rule weights to physically identical branches?
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Reasons Against
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Reason against
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1.
Decoherence mathematically explains how classical appearance emerges from quantum mechanics without requiring wavefunction collapse.
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2.
The reduced density matrix correctly predicts all empirical observations, making branch elimination metaphysically unnecessary.
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3.
Many-worlds interpretation remains logically consistent if unobservable branches causally decouple from our branch.
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