"MULTIVERSE" INTERPRETATION OF QUANTUM MECHANICS
THE QUANTUM MULTIVERSE (in Russian) (22.08.2021)
This article is the first part of the synopsis of the book "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality." Max Tegmark, 2014
The material of the article is devoted to the analysis and development of the ideas of a "Multiverse" interpretation of quantum mechanics, laid down by physicist Hugh Everett.
PHYSICAL AND MATHEMATICAL REALITIES (in Russian) (29.08.2021)
This article is the second part of the synopsis of the book "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality." Max Tegmark, 2014
The material of the article is devoted to the analysis and development of the ideas of a "Multiverse" interpretation of quantum mechanics, laid down by physicist Hugh Everett.
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This analysis unifies the classical and quantum levels of parallel universes that have been discussed in the literature, and has implications for several issues in quantum measurement theory. Replacing the standard hypothetical ensemble of measurements repeated ad infinitum by a concrete decohered spatial collection of experiments carried out in different distant regions of space provides a natural context for a statistical interpretation of quantum mechanics. It also shows how, even for a single measurement, probabilities may be interpreted as relative frequencies in unitary (Everettian) quantum mechanics. We also argue that after discarding a zero-norm part of the wavefunction, the remainder consists of a superposition of indistinguishable terms, so that arguably "collapse" of the wavefunction is irrelevant, and the "many worlds" of Everett’s interpretation are unified into one. Finally, the analysis suggests a "cosmological interpretation" of quantum theory in which the wave function describes the actual spatial collection of identical quantum systems, and quantum indeterminacy is attributable to the observer’s inability to self-locate in this collection.
APPARENT WAVE FUNCTION COLLAPSE CAUSED BY SCATTERING (Max Tegmark, 01.03.1996)
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The Many-Worlds Interpretation (MWI) of quantum mechanics holds that in parallel with "our own" world (in which we are observers), there are an infinite number of other worlds that do not intersect with it, but are "derived" from it. The fundamental idea of MWI, dating back to Everett in 1957. This publication examines in detail various aspects of this concept.
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It is shown that the difference between the Schrodinger and Heisenberg indeterminacy ratios is of a fundamental nature. A modified version of stochastic mechanics is proposed, which makes it possible to demonstrate the equality of the contributions of the anticommutator and the commutator in the Schrodinger indeterminacy ratio. The classification of quantum states minimizing the Schrodinger indeterminacy ratio at an arbitrary time is carried out. It is established that the correlation of fluctuations of the coordinate and momentum in such correlated-coherent states is largely determined by the contributions of not only the commutator, but also the anticommutator of the corresponding operators. It is shown that over time, the nature of this correlation qualitatively changes from antiphase, typical for the Heisenberg indeterminacy ratio, to in-phase, in which the contribution of the anticommutator turns out to be decisive. A comparative analysis of the properties of a free microparticle and a quantum oscillator in correlated-coherent states is carried out and it is shown that in both models correlated-coherent states correspond to traveling-standing de Broglie waves.