A Mathematical Characterization of the Physical Structure of Observers
نویسنده
چکیده
It is proposed that the physical structure of an observer in quantum mechanics is constituted by a pattern of elementary localized switching events. A key preliminary step in giving mathematical expression to this proposal is the introduction of an equivalence relation on sequences of spacetime sets which relates a sequence to any other sequence to which it can be deformed without change of causal arrangement. This allows an individual observer to be associated with a finite structure. The identification of suitable switching events in the human brain is discussed. A definition is given for the sets of sequences of quantum states which such an observer could occupy. Finally, by providing an a priori probability for such sets, the definitions are incorporated into a complete mathematical framework for a many-worlds interpretation. At a less ambitious level, the paper can be read as an exploration of some of the technical and conceptual difficulties involved in constructing such a framework.
منابع مشابه
Caratheodory dimension for observers
In this essay we introduce and study the notion of dimension for observers via Caratheodory structures and relative probability measures. We show that the dimension as a three variables function is an increasing function on observers, and decreasing function on the cuts of an observer. We find observers with arbitrary non-negative dimensions. We show that Caratheodory dimension for obs...
متن کاملSynthesis, Characterization, and Crystal Structure of a New Coordination Polymer, {[Ba2(Hpydc)2(pydc)(H20)31.H20.(112P3110}n
The reaction of barium chloride with 2, 6-pyridinedicarboxylic acid in water led to the formation of a novelpolymeric complex formulated as {[Ba2(Hpydc)2(pydc)(H20)3].H20.(H2pydc)}.(I). The crystal structure of (I)was characterized by single crystal X-ray diffraction method. The complex was crystallized in the monoclinicsystem with space group P2/c, with four molecule in unit-cell, e.g Z=4. The...
متن کاملAddendum to: "Infinite-dimensional versions of the primary, cyclic and Jordan decompositions", by M. Radjabalipour
In his paper mentioned in the title, which appears in the same issue of this journal, Mehdi Radjabalipour derives the cyclic decomposition of an algebraic linear transformation. A more general structure theory for linear transformations appears in Irving Kaplansky's lovely 1954 book on infinite abelian groups. We present a translation of Kaplansky's results for abelian groups into the terminolo...
متن کاملNano-structural Characterization of Post-annealed ZnO Thin Films by X-ray Diffraction and Field Emission Scanning Electron Microscopy
ZnO thin films were deposited on Si(400) substrates by e-beam evaporation technique, and then post-annealed at different annealing temperatures (200-800°C). Dependence of the crystallographic structure, nano-strain, chemical composition and surface physical Morphology of these layers on annealing temperature were studied. The crystallographic structure of films was studied using X-Ray Diffracti...
متن کاملNano-structural Characterization of Post-annealed ZnO Thin Films by X-ray Diffraction and Field Emission Scanning Electron Microscopy
ZnO thin films were deposited on Si(400) substrates by e-beam evaporation technique, and then post-annealed at different annealing temperatures (200-800°C). Dependence of the crystallographic structure, nano-strain, chemical composition and surface physical Morphology of these layers on annealing temperature were studied. The crystallographic structure of films was studied using X-Ray Diffracti...
متن کامل