Existence of life in 2 + 1 dimensions

There are anthropic reasons to suspect that life in more than three spatial dimensions is not possible, and if the same could be said of fewer than three, then one would have an anthropic argument for why we experience precisely three large spatial dimensions. There are two main arguments leveled ag...

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Main Author: J. H. C. Scargill
Format: Article
Language:English
Published: American Physical Society 2020-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013217
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author J. H. C. Scargill
author_facet J. H. C. Scargill
author_sort J. H. C. Scargill
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description There are anthropic reasons to suspect that life in more than three spatial dimensions is not possible, and if the same could be said of fewer than three, then one would have an anthropic argument for why we experience precisely three large spatial dimensions. There are two main arguments leveled against the possibility of life in 2+1 dimensions: the lack of a local gravitational force and Newtonian limit in three-dimensional general relativity, and the claim that the restriction to a planar topology means that the possibilities are “too simple” for life to exist. I will examine these arguments and show how a purely scalar theory of gravity may evade the first one, before considering certain families of planar graphs which share properties which are observed in real-life biological neural networks and are argued to be important for their functioning.
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spelling doaj.art-9d18f24da1904c6683b14c8106ed280a2024-04-12T16:50:25ZengAmerican Physical SocietyPhysical Review Research2643-15642020-02-012101321710.1103/PhysRevResearch.2.013217Existence of life in 2 + 1 dimensionsJ. H. C. ScargillThere are anthropic reasons to suspect that life in more than three spatial dimensions is not possible, and if the same could be said of fewer than three, then one would have an anthropic argument for why we experience precisely three large spatial dimensions. There are two main arguments leveled against the possibility of life in 2+1 dimensions: the lack of a local gravitational force and Newtonian limit in three-dimensional general relativity, and the claim that the restriction to a planar topology means that the possibilities are “too simple” for life to exist. I will examine these arguments and show how a purely scalar theory of gravity may evade the first one, before considering certain families of planar graphs which share properties which are observed in real-life biological neural networks and are argued to be important for their functioning.http://doi.org/10.1103/PhysRevResearch.2.013217
spellingShingle J. H. C. Scargill
Existence of life in 2 + 1 dimensions
Physical Review Research
title Existence of life in 2 + 1 dimensions
title_full Existence of life in 2 + 1 dimensions
title_fullStr Existence of life in 2 + 1 dimensions
title_full_unstemmed Existence of life in 2 + 1 dimensions
title_short Existence of life in 2 + 1 dimensions
title_sort existence of life in 2 1 dimensions
url http://doi.org/10.1103/PhysRevResearch.2.013217
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