Lattice Multiverse Models
S. Gill Williamson
TL;DR
This paper investigates simplified lattice multiverse models to understand whether complex properties of the cosmological multiverse can be mathematically characterized, revealing inherent limitations in proof and disproof.
Contribution
It introduces lattice multiverse models as simplified mathematical frameworks to study properties of the multiverse that are difficult to prove or disprove.
Findings
Lattice multiverses exhibit properties that are mathematically simple yet unprovable or undisprovable.
Simplified models can mimic complex behaviors of cosmological multiverses.
Highlights limitations of current mathematical physics in describing multiverse properties.
Abstract
Will the cosmological multiverse, when described mathematically, have easily stated properties that are impossible to prove or disprove using mathematical physics? We explore this question by constructing lattice multiverses which exhibit such behavior even though they are much simpler mathematically than any likely cosmological multiverse.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · advanced mathematical theories · Quantum Mechanics and Applications