Extreme-value statistics of dimensions determining an observer's branch of the world?
arXiv:0807.0121
Abstract
In a many-worlds framework, combining decoherent histories and extreme-value statistics, it is conjectured that the (matrix) dimension of the Hamiltonian processing records and memories near the end of an observer's history is almost entirely located in a single branch of his/her wavefunction.
v1: 4 pages, no figures; v2: 7 pages, 1 figure, title changed, networks deemphasised, "final draw" elaborated; v3: 9 pages, no figures, title changed again, added references, "final draw" further elaborated; v4: cleared one of listed potential problems (section 6)
References in corpus (5)
- Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information
- Relative States and the Environment: Einselection, Envariance, Quantum Darwinism, and the Existential Interpretation
- Discreteness and the origin of probability in quantum mechanics
- Does Probability become Fuzzy in Small Regions of Spacetime?
- "Measurement" by neuronal tunneling: Implications of Born's rule