CAVE/RDR: A Relational Formalism of Bounded Realities, Irreversible Divergence, and Single-Operator Recurrence

{"This":[0,93],"working":[1],"summary":[2],"introduces":[3],"CAVE":[4],"(Create":[5],"A":[6],"Vast":[7],"Existence)":[8],"and":[9,25,41,76,115,147],"RDR":[10,117],"(Relational":[11],"Descriptor":[12],"Reality),":[13],"a":[14,49,73,82],"candidate":[15],"formal":[16],"framework":[17,34],"developed":[18],"to":[19],"model":[20,128],"bounded":[21],"realities,":[22],"state":[23],"transitions,":[24],"structural":[26,148],"invariants.":[27],"Moving":[28],"beyond":[29],"classical":[30],"quantitative":[31],"arithmetic,":[32],"the":[33,79,96,127,130],"utilizes":[35],"semantic":[36],"configuration":[37,85],"descriptors—primarily":[38],"1,":[39],"1.5,":[40],"2.5—to":[42],"map":[43],"directional,":[44],"state-referential":[45,108],"processes":[46],"driven":[47],"by":[48],"single":[50],"operational":[51],"primitive":[52],"of":[53,133],"dependency":[54],"(0.5).":[55],"The":[56],"central":[57],"thesis":[58],"posits":[59],"that":[60],"physical,":[61],"social,":[62],"or":[63],"informational":[64],"separation":[65],"inherently":[66],"produces":[67],"information":[68],"divergence:":[69],"when":[70],"components":[71],"depart":[72],"shared":[74],"reality":[75],"later":[77],"reunite,":[78],"system":[80],"yields":[81],"transformed":[83],"relational":[84,121],"(2.5)":[86],"rather":[87],"than":[88],"restoring":[89],"its":[90],"origin":[91],"(1).":[92],"paper":[94],"outlines":[95],"baseline":[97],"directed":[98],"process":[99],"2.5":[100],"→":[101,103,105],"1.5":[102],"1":[104],"2.5,":[106],"formulates":[107],"transitions":[109],"without":[110],"requiring":[111],"external":[112],"reference":[113],"parameters,":[114],"defines":[116],"as":[118],"an":[119],"invariant":[120],"condition":[122],"across":[123,150],"shifting":[124],"manifestations.":[125],"Additionally,":[126],"explores":[129],"epistemological":[131],"implications":[132],"\\"world":[134],"caves\\"—closed,":[135],"self-referential":[136],"consensus":[137],"systems—and":[138],"establishes":[139],"explicit":[140],"single-operator":[141],"falsification":[142],"criteria":[143],"for":[144],"future":[145],"empirical":[146],"testing":[149],"non-native":[151],"domains.":[152]}

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22839922
Primary Topic
Embodied and Extended Cognition
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

CAVE/RDR: A Relational Formalism of Bounded Realities, Irreversible Divergence, and Single-Operator Recurrence

Nicolas Antony Brown
Zenodo (CERN European Organization for Nuclear Research)
Embodied and Extended Cognition
article

CAVE/RDR: A Relational Formalism of Bounded Realities, Irreversible Divergence, and Single-Operator Recurrence

Nicolas Antony Brown
article en

Abstract

This working summary introduces CAVE (Create A Vast Existence) and RDR (Relational Descriptor Reality), a candidate formal framework developed to model bounded realities, state transitions, and structural invariants. Moving beyond classical quantitative arithmetic, the framework utilizes semantic configuration descriptors—primarily 1, 1.5, and 2.5—to map directional, state-referential processes driven by a single operational primitive of dependency (0.5). The central thesis posits that physical, social, or informational separation inherently produces information divergence: when components depart a shared reality and later reunite, the system yields a transformed relational configuration (2.5) rather than restoring its origin (1). This paper outlines the baseline directed process 2.5 → 1.5 → 1 → 2.5, formulates state-referential transitions without requiring external reference parameters, and defines RDR as an invariant relational condition across shifting manifestations. Additionally, the model explores the epistemological implications of "world caves"—closed, self-referential consensus systems—and establishes explicit single-operator falsification criteria for future empirical and structural testing across non-native domains.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 9%
Embodied and Extended Cognition
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.