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It is not the case that The trajectories of individual components in environmental decoherence models approximate Newtonian trajectories surprisingly well.
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Reasons For
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Reason for 1 of 2
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1.
Approximation of Newtonian trajectories by component wavefunctions does not establish that those trajectories are ontologically real within the quantum formalism.
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2.
Without a preferred basis solution, 'individual components' remain branch-relative artifacts of the decomposition, not independent physical trajectories.
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3.
Zurek's existential interpretation presupposes the very classical ontology it purports to derive, rendering the Newtonian approximation argument circular.
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Reason for 2 of 2
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1.
The master equation comparison suppresses interference terms by tracing over environmental degrees of freedom, but this mathematical move does not eliminate superpositions from the global state.
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2.
Omnes and Gell-Mann/Hartle's consistent histories frameworks show that multiple incompatible quasi-classical trajectory sets can satisfy decoherence conditions equally well, undermining any unique Newtonian approximation claim.
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Reasons Against
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1.
In models where preferred states are coherent states, the master equation for the reduced state of the system can be compared with the evolution of a classical Liouville distribution.
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2.
This comparison suggests that individual component trajectories approximate corresponding Newtonian trajectories.
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