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Levels of reality: emergent properties of a mathematical multiverse

McKenzie, Alan (2019) Levels of reality: emergent properties of a mathematical multiverse. [Preprint]

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Abstract

Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe – and the multiverse – fundamentally as complex patterns, or mathematical structures. Basic mathematical structures can be expressed more simply in terms of emergent parameters. Even simple mathematical structures can interact within their own structural environment, in a rudimentary form of self-awareness, which suggests a definition of reality in a mathematical structure as simply the complete structure. The absolute randomness of quantum outcomes is most satisfactorily explained by a multiverse of discrete, parallel universes. Some of these have to be identical to each other, but that introduces a dilemma, because each mathematical structure must be unique. The resolution is that the parallel universes must be embedded within a mathematical structure – the multiverse – which allows universes to be identical within themselves, but nevertheless distinct, as determined by their position in the structure. The multiverse needs more emergent parameters than our universe and so it can be considered to be a superstructure. Correspondingly, its reality can be called a super-reality. While every universe in the multiverse is part of the super-reality, the complete super-reality is forever beyond the horizon of any of its component universes.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
McKenzie, Alanalanphysics@hotmail.com
Keywords: reality, super-reality, emergent parameters, mathematical multiverse, mathematical structures,
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Ontology
General Issues > Explanation
General Issues > Laws of Nature
Depositing User: Dr Alan McKenzie
Date Deposited: 11 Jun 2019 19:18
Last Modified: 11 Jun 2019 19:18
Item ID: 16103
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Ontology
General Issues > Explanation
General Issues > Laws of Nature
Date: 11 June 2019
URI: https://philsci-archive.pitt.edu/id/eprint/16103

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