Everett R. Mitchell

Mathematics: Everett and Ulam

Everett and Evidence

Much of the evidence for quantum mechanics is statistical in nature. The Everett interpretation, if it is to be a candidate for serious consideration, must be capable of doing justice to reasoning on which statistical evidence in which observed relative frequencies that closely match calculated probabilities counts as evidence in favour of a theory from which the probabilities are calculated. S...

The Folded Horn Antenna Everett

Antennas for radiating high-power mesoband electromagnetic signals are critical to the mission of upsetting electronics at a distance. High Power Microwave (HPM) weapons require efficient antennas that can fit into a small volume. Many of the existing antennas, such as pyramidal horns, are too large to fit onto many platforms when operated at low frequency. To address this problem, we investiga...

Chance in the Everett Interpretation

For the purposes of this chapter I take Everettian quantum mechanics (EQM) to be the unitary formalism of quantum mechanics divested of any probability interpretation, but including decoherence theory and the analysis of the universal state in terms of emergent, quasiclassical histories, or branches, along with their branch amplitudes, all entering into a vast superposition. I shall not be conc...

Everett and the Born Rule

During the last ten years or so, derivations of the Born rule based on decision theory have been proposed and developed, and it is claimed that these are valid in the context of the Everett interpretation. This claim is critically assessed and it is shown that one of its key assumptions is a natural consequence of the principles underlying the Copenhagen interpretation, but constitutes a major ...