Physics – Quantum Physics
Scientific paper
2001-10-25
Physics
Quantum Physics
This extended version is to be published in The Canadian Journal of Physics
Scientific paper
10.1139/p02-068
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.
No associations
LandOfFree
The basis problem in many-worlds theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The basis problem in many-worlds theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The basis problem in many-worlds theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-360494