dorsal/arxiv
View SchemaThe basis problem in many-worlds theories
| Authors | Henry P. Stapp |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110148 |
| URL | https://arxiv.org/abs/quant-ph/0110148 |
| DOI | 10.1139/p02-068 |
Abstract
It is emphasized that a many-worlds interpretation of quantum theory exists only to the extent that the associated basis problem is solved. The core basis problem is that the robust enduring states specified by environmental decoherence effects are essentially Gaussian wave packets that form continua of non-orthogonal states. Hence they are not a discrete set of orthogonal basis states to which finite probabilities can be assigned by the usual rules. The natural way to get an orthogonal basis without going outside the Schroedinger dynamics is to use the eigenstates of the reduced density matrix, and this idea is the basis of some recent attempts by many-worlds proponents to solve the basis problem. But these eigenstates do not enjoy the locality and quasi-classicality properties of the states defined by environmental decoherence effects, and hence are not satisfactory preferred basis states. The basis problem needs to be addressed and resolved before a many-worlds-type interpretation can be said to exist.
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"abstract": "It is emphasized that a many-worlds interpretation of quantum theory exists\nonly to the extent that the associated basis problem is solved. The core basis\nproblem is that the robust enduring states specified by environmental\ndecoherence effects are essentially Gaussian wave packets that form continua of\nnon-orthogonal states. Hence they are not a discrete set of orthogonal basis\nstates to which finite probabilities can be assigned by the usual rules. The\nnatural way to get an orthogonal basis without going outside the Schroedinger\ndynamics is to use the eigenstates of the reduced density matrix, and this idea\nis the basis of some recent attempts by many-worlds proponents to solve the\nbasis problem. But these eigenstates do not enjoy the locality and\nquasi-classicality properties of the states defined by environmental\ndecoherence effects, and hence are not satisfactory preferred basis states. The\nbasis problem needs to be addressed and resolved before a many-worlds-type\ninterpretation can be said to exist.",
"arxiv_id": "quant-ph/0110148",
"authors": [
"Henry P. Stapp"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/p02-068",
"title": "The basis problem in many-worlds theories",
"url": "https://arxiv.org/abs/quant-ph/0110148"
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