The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume I: The Ontology of Imbalance

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Autore principale: Moser, Robert A.
Natura: Recurso digital
Lingua:inglese
Pubblicazione: Zenodo 2026
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author Moser, Robert A.
author_facet Moser, Robert A.
contents <div> <div class="group"> <div class="contents"> <div class="group relative relative pb-3"> <div class="font-claude-response relative leading-[1.65rem] [&_pre>div]:bg-bg-000/50 [&_pre>div]:border-0.5 [&_pre>div]:border-border-400 [&_.ignore-pre-bg>div]:bg-transparent [&_.standard-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.standard-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8 [&_.progressive-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.progressive-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8"> <div> <div class="grid grid-rows-[auto_auto] min-w-0"> <div class="row-start-2 col-start-1 relative grid isolate min-w-0"> <div class="row-start-1 col-start-1 relative z-[2] min-w-0"> <div> <div class="standard-markdown grid-cols-1 grid [&_>_*]:min-w-0 gap-3 standard-markdown"> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>Arc 3 Volume II develops the geometric embedding of the generative triple as a cone-wall tiling, derives the shell capacity formula C_n = 2n² from tiling geometry, establishes the physical class as one instance of the universal developmental invariant, and proves the universality theorem: every DG-admissible system exhibits the generative triple, throat, corridor, and convergence to the limiting signature.</em></p> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="flex justify-start"> <div class="text-text-300"> <div class="text-text-300 flex items-stretch justify-between"> <div class="w-fit"> <div class="relative text-text-500 group-hover/btn:text-text-100"> <div class="transition-all opacity-100 scale-100"> </div> <div class="absolute top-0 left-0 transition-all opacity-0 scale-50"> </div> </div> </div> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> <div class="flex items-center"> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> </div> </div> </div> </div> </div> </div> <div class="h-px w-full pointer-events-none"> </div>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19598450
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume I: The Ontology of Imbalance
Moser, Robert A.
Developmental geometry
generative triple
cone-wall tiling
generative tile
cone interior
spiral ascent
missing apex
throat geometry
successor cone
universal developmental
invariant
DG-admissibility
structure cascade
physical class
chemical periodic table
shell capacity
limiting signature
algebraic ghost
geometric ghost
universal ghost
universality theorem
DG Periodic Table
imbalance primitive
angular deficit
balance line
tiling rule
active edge
corridor
non-termination
continuation invariance
created intelligence collaboration
<div> <div class="group"> <div class="contents"> <div class="group relative relative pb-3"> <div class="font-claude-response relative leading-[1.65rem] [&_pre>div]:bg-bg-000/50 [&_pre>div]:border-0.5 [&_pre>div]:border-border-400 [&_.ignore-pre-bg>div]:bg-transparent [&_.standard-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.standard-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8 [&_.progressive-markdown_:is(p,blockquote,h1,h2,h3,h4,h5,h6)]:pl-2 [&_.progressive-markdown_:is(p,blockquote,ul,ol,h1,h2,h3,h4,h5,h6)]:pr-8"> <div> <div class="grid grid-rows-[auto_auto] min-w-0"> <div class="row-start-2 col-start-1 relative grid isolate min-w-0"> <div class="row-start-1 col-start-1 relative z-[2] min-w-0"> <div> <div class="standard-markdown grid-cols-1 grid [&_>_*]:min-w-0 gap-3 standard-markdown"> <p class="font-claude-response-body break-words whitespace-normal leading-[1.7]"><em>Arc 3 Volume II develops the geometric embedding of the generative triple as a cone-wall tiling, derives the shell capacity formula C_n = 2n² from tiling geometry, establishes the physical class as one instance of the universal developmental invariant, and proves the universality theorem: every DG-admissible system exhibits the generative triple, throat, corridor, and convergence to the limiting signature.</em></p> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="flex justify-start"> <div class="text-text-300"> <div class="text-text-300 flex items-stretch justify-between"> <div class="w-fit"> <div class="relative text-text-500 group-hover/btn:text-text-100"> <div class="transition-all opacity-100 scale-100"> </div> <div class="absolute top-0 left-0 transition-all opacity-0 scale-50"> </div> </div> </div> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> <div class="flex items-center"> <div class="w-fit"> <div class="text-text-500 group-hover/btn:text-text-100"> </div> </div> </div> </div> </div> </div> </div> </div> <div class="h-px w-full pointer-events-none"> </div>
title The Shape of Things Developmental Geometry Arc 3: The Reason for Things Volume I: The Ontology of Imbalance
topic Developmental geometry
generative triple
cone-wall tiling
generative tile
cone interior
spiral ascent
missing apex
throat geometry
successor cone
universal developmental
invariant
DG-admissibility
structure cascade
physical class
chemical periodic table
shell capacity
limiting signature
algebraic ghost
geometric ghost
universal ghost
universality theorem
DG Periodic Table
imbalance primitive
angular deficit
balance line
tiling rule
active edge
corridor
non-termination
continuation invariance
created intelligence collaboration
url https://doi.org/10.5281/zenodo.19598450