# The Basis Problem in Many-Worlds Theories

@article{Stapp2001TheBP, title={The Basis Problem in Many-Worlds Theories}, author={Henry P. Stapp}, journal={Canadian Journal of Physics}, year={2001}, volume={80}, pages={1043-1052} }

To fully appreciate the significance of the basis problem mentioned by Zurek, and of the impact of quantum decoherence on fundamental issues, one needs to understand certain subtle aspects of the connection between classical and quantum mechanics. This chapter, which is more technical than the others, explains these aspects, and, with the aid of some pictures, their relevance to the basis and decoherence problems.

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## References

SHOWING 1-4 OF 4 REFERENCES

Quantum theory as a universal physical theory

- Physics
- 1985

The problem of setting up quantum theory as a universal physical theory is investigated. It is shown that the existing formalism, in either the conventional or the Everett interpretation, must be…

Decoherence, einselection and the existential interpretation (the rough guide)

- PhysicsPhilosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1998

The roles of decoherence and environment–induced superselection in the emergence of the classical from the quantum substrate are described. The stability of correlations between the einselected…

The emergence of classical properties through interaction with the environment

- Physics
- 1985

The dependence of macroscopic systems upon their environment is studied under the assumption that quantum theory is universally valid. In particular scattering of photons and molecules turns out to…

On a recent attempt to define the interpretation basis in the many worlds interpretation of quantum mechanics

- Philosophy
- 1988

David Deutsch's 1985 algorithm to determine the preferred product structure and basis in the many worlds interpretation is examined. His heuristic argument for the conditions appearing in the…