McKenzie, Alan (2016) Some remarks on the mathematical structure of the multiverse. [Preprint]
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Abstract
The Copenhagen interpretation of quantum entanglement experiments is at best incomplete, since the intermediate state induced by collapse of the wave function apparently depends upon the inertial rest frame in which the experiment is observed. While Everett’s Many Worlds Interpretation (MWI) avoids the issue of wave function collapse, it, too, is a casualty of the special theory of relativity. This requires all events in the universe, past, present and future, to be unique, as in the blockuniverse picture, which rules out Everettstyle branching. The benefits of MWI may be retained, however, by postulating a multiverse of discrete, parallel, block universes which are identical to each other up to certain points in the MWI “trunk” before they diverge according to the MWI branching. The quantum probability of an event then emerges from the number of parallel universes in which the event happens divided by the total number of universes. This means that the total number of such universes is finite. Such a picture is more easily envisaged by thinking of it as a purely mathematical structure, as in Tegmark’s Mathematical Universe Hypothesis. However, while Tegmark wished to avoid contamination from Gödelian selfreferential knots, not only does such contamination appear to be inevitable, it brings an unexpected benefit. The mathematical hierarchy required by Gödel’s enigmatic footnote 48a leads to an explanation for a unitary evolution of deterministic quantum rules across the multiverse while accounting for quantum uncertainty within an individual universe. Other aspects of this structure, called here the Plexus, are discussed, including awareness of existence and other questions raised by the hypothesis.
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Item Type:  Preprint  

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Keywords:  Mathematical Universe Hypothesis; multiverse; Gödel; Many Worlds Interpretation; Plexus  
Subjects:  Specific Sciences > Physics > Cosmology Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory 

Depositing User:  Dr Alan McKenzie  
Date Deposited:  26 Feb 2016 14:51  
Last Modified:  26 Feb 2016 14:51  
Item ID:  11921  
Subjects:  Specific Sciences > Physics > Cosmology Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Relativity Theory 

Date:  22 February 2016  
URI:  http://philsciarchive.pitt.edu/id/eprint/11921 
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