The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology Article Swipe
This repository contains the updated second version of “Towards a New Cosmology: Unifying Quantum Field Theory with the Cosmos”, introducing the Ghost-Time framework—a model in which time emerges from φ-activated recursion rather than being assumed as a primitive. The paper unifies quantum mechanical structure with cosmological dynamics using two key mechanisms: (1) ghost-time, defined as ordered states without continuity, and (2) φ-induced continuity, which marks the transition into physical time. The revised version includes a fully reproducible numerical validation suite (ghost_time_cosmology_validation_full.py), which verifies: • the golden-ratio identity 1/φ=φ−11/\varphi = \varphi - 11/φ=φ−1 to machine precision• the invertibility of the φ-cascade In+1=φInI_{n+1} = \varphi I_nIn+1=φIn and its time-index relation tn=φn−1t_n = \varphi^n - 1tn=φn−1• the distinction between unordered ghost-time sequences and φ-structured time traces• the behaviour of the RG–VEC cosmological recursion, both as a discrete map and as a continuous ODE system• curvature closure on S3(π/2)S^3(\pi/2)S3(π/2) All numerical outputs (JSON files and curvature plots) are stored in the validation_output/ directory for transparency and reproducibility. This work presents a new conceptual and mathematical bridge between quantum mechanics and cosmology by demonstrating that recursive structure—not expansion or singular initial conditions—drives the emergence of curvature, continuity, and cosmic evolution. For further information about the ENSO Framework, please contact Eric Needham:[email protected]
Related Topics
Concepts
Quantum cosmology
Theoretical physics
Physics
Curvature
Cosmology
Recursion (computer science)
Quantum
Quantum field theory
Ode
Open quantum system
Classical mechanics
Closure (psychology)
Field (mathematics)
Quantum gravity
Problem of time
Fractal
Identity (music)
Series (stratigraphy)
Computer science
Completeness (order theory)
Mathematical structure
Traverse
Mathematics
Unification
Loop quantum cosmology
Relation (database)
Statistical physics
Quantum geometry
Interpretations of quantum mechanics
Quantum system
Metadata
- Type
- preprint
- Landing Page
- https://doi.org/10.5281/zenodo.17717420
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7106827408
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W7106827408Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.5281/zenodo.17717420Digital Object Identifier
- Title
-
The Ghost of Time: A Unified Framework for Quantum Mechanics and CosmologyWork title
- Type
-
preprintOpenAlex work type
- Publication year
-
2025Year of publication
- Publication date
-
2025-11-26Full publication date if available
- Authors
-
Needham, EricList of authors in order
- Landing page
-
https://doi.org/10.5281/zenodo.17717420Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.5281/zenodo.17717420Direct OA link when available
- Concepts
-
Quantum cosmology, Theoretical physics, Physics, Curvature, Cosmology, Recursion (computer science), Quantum, Quantum field theory, Ode, Open quantum system, Classical mechanics, Closure (psychology), Field (mathematics), Quantum gravity, Problem of time, Fractal, Identity (music), Series (stratigraphy), Computer science, Completeness (order theory), Mathematical structure, Traverse, Mathematics, Unification, Loop quantum cosmology, Relation (database), Statistical physics, Quantum geometry, Interpretations of quantum mechanics, Quantum systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
Full payload
| id | https://openalex.org/W7106827408 |
|---|---|
| doi | https://doi.org/10.5281/zenodo.17717420 |
| ids.doi | https://doi.org/10.5281/zenodo.17717420 |
| ids.openalex | https://openalex.org/W7106827408 |
| fwci | 0.0 |
| type | preprint |
| title | The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology |
| biblio.issue | |
| biblio.volume | |
| biblio.last_page | |
| biblio.first_page | |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C45018233 |
| concepts[0].level | 4 |
| concepts[0].score | 0.5831567049026489 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q780685 |
| concepts[0].display_name | Quantum cosmology |
| concepts[1].id | https://openalex.org/C33332235 |
| concepts[1].level | 1 |
| concepts[1].score | 0.5206707715988159 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q18362 |
| concepts[1].display_name | Theoretical physics |
| concepts[2].id | https://openalex.org/C121332964 |
| concepts[2].level | 0 |
| concepts[2].score | 0.48577821254730225 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[2].display_name | Physics |
| concepts[3].id | https://openalex.org/C195065555 |
| concepts[3].level | 2 |
| concepts[3].score | 0.4826015830039978 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q214881 |
| concepts[3].display_name | Curvature |
| concepts[4].id | https://openalex.org/C26405456 |
| concepts[4].level | 2 |
| concepts[4].score | 0.4396044909954071 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q338 |
| concepts[4].display_name | Cosmology |
| concepts[5].id | https://openalex.org/C168773036 |
| concepts[5].level | 2 |
| concepts[5].score | 0.4338030219078064 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q264164 |
| concepts[5].display_name | Recursion (computer science) |
| concepts[6].id | https://openalex.org/C84114770 |
| concepts[6].level | 2 |
| concepts[6].score | 0.418658584356308 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q46344 |
| concepts[6].display_name | Quantum |
| concepts[7].id | https://openalex.org/C115047598 |
| concepts[7].level | 2 |
| concepts[7].score | 0.36123156547546387 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q54505 |
| concepts[7].display_name | Quantum field theory |
| concepts[8].id | https://openalex.org/C34862557 |
| concepts[8].level | 2 |
| concepts[8].score | 0.34639593958854675 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q178985 |
| concepts[8].display_name | Ode |
| concepts[9].id | https://openalex.org/C190474826 |
| concepts[9].level | 3 |
| concepts[9].score | 0.33643633127212524 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q2495111 |
| concepts[9].display_name | Open quantum system |
| concepts[10].id | https://openalex.org/C74650414 |
| concepts[10].level | 1 |
| concepts[10].score | 0.3346007466316223 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q11397 |
| concepts[10].display_name | Classical mechanics |
| concepts[11].id | https://openalex.org/C146834321 |
| concepts[11].level | 2 |
| concepts[11].score | 0.3223240375518799 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q2979672 |
| concepts[11].display_name | Closure (psychology) |
| concepts[12].id | https://openalex.org/C9652623 |
| concepts[12].level | 2 |
| concepts[12].score | 0.3136625587940216 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q190109 |
| concepts[12].display_name | Field (mathematics) |
| concepts[13].id | https://openalex.org/C108568745 |
| concepts[13].level | 3 |
| concepts[13].score | 0.30924683809280396 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q234181 |
| concepts[13].display_name | Quantum gravity |
| concepts[14].id | https://openalex.org/C4621756 |
| concepts[14].level | 4 |
| concepts[14].score | 0.30703747272491455 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q18344764 |
| concepts[14].display_name | Problem of time |
| concepts[15].id | https://openalex.org/C40636538 |
| concepts[15].level | 2 |
| concepts[15].score | 0.2874244749546051 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q81392 |
| concepts[15].display_name | Fractal |
| concepts[16].id | https://openalex.org/C2778355321 |
| concepts[16].level | 2 |
| concepts[16].score | 0.28535598516464233 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q17079427 |
| concepts[16].display_name | Identity (music) |
| concepts[17].id | https://openalex.org/C143724316 |
| concepts[17].level | 2 |
| concepts[17].score | 0.2805251181125641 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q312468 |
| concepts[17].display_name | Series (stratigraphy) |
| concepts[18].id | https://openalex.org/C41008148 |
| concepts[18].level | 0 |
| concepts[18].score | 0.2781471312046051 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[18].display_name | Computer science |
| concepts[19].id | https://openalex.org/C17231256 |
| concepts[19].level | 2 |
| concepts[19].score | 0.2736735939979553 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q5156540 |
| concepts[19].display_name | Completeness (order theory) |
| concepts[20].id | https://openalex.org/C130327152 |
| concepts[20].level | 2 |
| concepts[20].score | 0.2727372944355011 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q748349 |
| concepts[20].display_name | Mathematical structure |
| concepts[21].id | https://openalex.org/C176809094 |
| concepts[21].level | 2 |
| concepts[21].score | 0.27124443650245667 |
| concepts[21].wikidata | https://www.wikidata.org/wiki/Q15401496 |
| concepts[21].display_name | Traverse |
| concepts[22].id | https://openalex.org/C33923547 |
| concepts[22].level | 0 |
| concepts[22].score | 0.26912257075309753 |
| concepts[22].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[22].display_name | Mathematics |
| concepts[23].id | https://openalex.org/C96146094 |
| concepts[23].level | 2 |
| concepts[23].score | 0.2648983299732208 |
| concepts[23].wikidata | https://www.wikidata.org/wiki/Q609057 |
| concepts[23].display_name | Unification |
| concepts[24].id | https://openalex.org/C202299901 |
| concepts[24].level | 5 |
| concepts[24].score | 0.26366573572158813 |
| concepts[24].wikidata | https://www.wikidata.org/wiki/Q6675857 |
| concepts[24].display_name | Loop quantum cosmology |
| concepts[25].id | https://openalex.org/C25343380 |
| concepts[25].level | 2 |
| concepts[25].score | 0.26212242245674133 |
| concepts[25].wikidata | https://www.wikidata.org/wiki/Q277521 |
| concepts[25].display_name | Relation (database) |
| concepts[26].id | https://openalex.org/C121864883 |
| concepts[26].level | 1 |
| concepts[26].score | 0.2579759657382965 |
| concepts[26].wikidata | https://www.wikidata.org/wiki/Q677916 |
| concepts[26].display_name | Statistical physics |
| concepts[27].id | https://openalex.org/C53250935 |
| concepts[27].level | 5 |
| concepts[27].score | 0.2579183876514435 |
| concepts[27].wikidata | https://www.wikidata.org/wiki/Q2122184 |
| concepts[27].display_name | Quantum geometry |
| concepts[28].id | https://openalex.org/C207046469 |
| concepts[28].level | 5 |
| concepts[28].score | 0.2527818977832794 |
| concepts[28].wikidata | https://www.wikidata.org/wiki/Q899137 |
| concepts[28].display_name | Interpretations of quantum mechanics |
| concepts[29].id | https://openalex.org/C2778926657 |
| concepts[29].level | 3 |
| concepts[29].score | 0.2507016062736511 |
| concepts[29].wikidata | https://www.wikidata.org/wiki/Q944 |
| concepts[29].display_name | Quantum system |
| keywords[0].id | https://openalex.org/keywords/quantum-cosmology |
| keywords[0].score | 0.5831567049026489 |
| keywords[0].display_name | Quantum cosmology |
| keywords[1].id | https://openalex.org/keywords/curvature |
| keywords[1].score | 0.4826015830039978 |
| keywords[1].display_name | Curvature |
| keywords[2].id | https://openalex.org/keywords/cosmology |
| keywords[2].score | 0.4396044909954071 |
| keywords[2].display_name | Cosmology |
| keywords[3].id | https://openalex.org/keywords/recursion |
| keywords[3].score | 0.4338030219078064 |
| keywords[3].display_name | Recursion (computer science) |
| keywords[4].id | https://openalex.org/keywords/quantum |
| keywords[4].score | 0.418658584356308 |
| keywords[4].display_name | Quantum |
| keywords[5].id | https://openalex.org/keywords/quantum-field-theory |
| keywords[5].score | 0.36123156547546387 |
| keywords[5].display_name | Quantum field theory |
| keywords[6].id | https://openalex.org/keywords/ode |
| keywords[6].score | 0.34639593958854675 |
| keywords[6].display_name | Ode |
| keywords[7].id | https://openalex.org/keywords/open-quantum-system |
| keywords[7].score | 0.33643633127212524 |
| keywords[7].display_name | Open quantum system |
| keywords[8].id | https://openalex.org/keywords/closure |
| keywords[8].score | 0.3223240375518799 |
| keywords[8].display_name | Closure (psychology) |
| language | |
| locations[0].id | doi:10.5281/zenodo.17717420 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4306400562 |
| locations[0].source.issn | |
| locations[0].source.type | repository |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Zenodo (CERN European Organization for Nuclear Research) |
| locations[0].source.host_organization | https://openalex.org/I67311998 |
| locations[0].source.host_organization_name | European Organization for Nuclear Research |
| locations[0].source.host_organization_lineage | https://openalex.org/I67311998 |
| locations[0].license | |
| locations[0].pdf_url | |
| locations[0].version | |
| locations[0].raw_type | article |
| locations[0].license_id | |
| locations[0].is_accepted | False |
| locations[0].is_published | |
| locations[0].raw_source_name | |
| locations[0].landing_page_url | https://doi.org/10.5281/zenodo.17717420 |
| indexed_in | datacite |
| authorships[0].author.id | |
| authorships[0].author.orcid | |
| authorships[0].author.display_name | Needham, Eric |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Needham, Eric |
| authorships[0].is_corresponding | True |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.5281/zenodo.17717420 |
| open_access.oa_status | green |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-11-28T00:00:00 |
| display_name | The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-28T02:12:24.556248 |
| primary_topic | |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | doi:10.5281/zenodo.17717420 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4306400562 |
| best_oa_location.source.issn | |
| best_oa_location.source.type | repository |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Zenodo (CERN European Organization for Nuclear Research) |
| best_oa_location.source.host_organization | https://openalex.org/I67311998 |
| best_oa_location.source.host_organization_name | European Organization for Nuclear Research |
| best_oa_location.source.host_organization_lineage | https://openalex.org/I67311998 |
| best_oa_location.license | |
| best_oa_location.pdf_url | |
| best_oa_location.version | |
| best_oa_location.raw_type | article |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | False |
| best_oa_location.is_published | False |
| best_oa_location.raw_source_name | |
| best_oa_location.landing_page_url | https://doi.org/10.5281/zenodo.17717420 |
| primary_location.id | doi:10.5281/zenodo.17717420 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4306400562 |
| primary_location.source.issn | |
| primary_location.source.type | repository |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Zenodo (CERN European Organization for Nuclear Research) |
| primary_location.source.host_organization | https://openalex.org/I67311998 |
| primary_location.source.host_organization_name | European Organization for Nuclear Research |
| primary_location.source.host_organization_lineage | https://openalex.org/I67311998 |
| primary_location.license | |
| primary_location.pdf_url | |
| primary_location.version | |
| primary_location.raw_type | article |
| primary_location.license_id | |
| primary_location.is_accepted | False |
| primary_location.is_published | False |
| primary_location.raw_source_name | |
| primary_location.landing_page_url | https://doi.org/10.5281/zenodo.17717420 |
| publication_date | 2025-11-26 |
| publication_year | 2025 |
| referenced_works_count | 0 |
| abstract_inverted_index.- | 90, 111 |
| abstract_inverted_index.= | 88, 101, 109 |
| abstract_inverted_index.a | 9, 36, 74, 132, 137, 166 |
| abstract_inverted_index.as | 35, 54, 131, 136 |
| abstract_inverted_index.by | 177 |
| abstract_inverted_index.in | 24, 155 |
| abstract_inverted_index.of | 7, 97, 125, 189 |
| abstract_inverted_index.on | 143 |
| abstract_inverted_index.or | 183 |
| abstract_inverted_index.to | 92 |
| abstract_inverted_index.(1) | 51 |
| abstract_inverted_index.(2) | 60 |
| abstract_inverted_index.All | 145 |
| abstract_inverted_index.For | 195 |
| abstract_inverted_index.New | 10 |
| abstract_inverted_index.ODE | 139 |
| abstract_inverted_index.The | 38, 70 |
| abstract_inverted_index.and | 59, 104, 119, 135, 150, 161, 169, 175, 192 |
| abstract_inverted_index.are | 153 |
| abstract_inverted_index.for | 159 |
| abstract_inverted_index.its | 105 |
| abstract_inverted_index.key | 49 |
| abstract_inverted_index.map | 134 |
| abstract_inverted_index.new | 167 |
| abstract_inverted_index.the | 3, 17, 20, 65, 84, 95, 98, 113, 123, 126, 156, 187, 199 |
| abstract_inverted_index.two | 48 |
| abstract_inverted_index.• | 83 |
| abstract_inverted_index.ENSO | 200 |
| abstract_inverted_index.Eric | 204 |
| abstract_inverted_index.This | 0, 163 |
| abstract_inverted_index.both | 130 |
| abstract_inverted_index.from | 28 |
| abstract_inverted_index.into | 67 |
| abstract_inverted_index.than | 32 |
| abstract_inverted_index.that | 179 |
| abstract_inverted_index.time | 26, 121 |
| abstract_inverted_index.with | 16, 44 |
| abstract_inverted_index.work | 164 |
| abstract_inverted_index.(JSON | 148 |
| abstract_inverted_index.Field | 14 |
| abstract_inverted_index.about | 198 |
| abstract_inverted_index.being | 33 |
| abstract_inverted_index.files | 149 |
| abstract_inverted_index.fully | 75 |
| abstract_inverted_index.marks | 64 |
| abstract_inverted_index.model | 23 |
| abstract_inverted_index.paper | 39 |
| abstract_inverted_index.suite | 79 |
| abstract_inverted_index.time. | 69 |
| abstract_inverted_index.using | 47 |
| abstract_inverted_index.which | 25, 63, 81 |
| abstract_inverted_index.Theory | 15 |
| abstract_inverted_index.bridge | 171 |
| abstract_inverted_index.cosmic | 193 |
| abstract_inverted_index.please | 202 |
| abstract_inverted_index.plots) | 152 |
| abstract_inverted_index.rather | 31 |
| abstract_inverted_index.second | 5 |
| abstract_inverted_index.states | 56 |
| abstract_inverted_index.stored | 154 |
| abstract_inverted_index.Quantum | 13 |
| abstract_inverted_index.\varphi | 89, 102 |
| abstract_inverted_index.assumed | 34 |
| abstract_inverted_index.between | 115, 172 |
| abstract_inverted_index.closure | 142 |
| abstract_inverted_index.contact | 203 |
| abstract_inverted_index.defined | 53 |
| abstract_inverted_index.emerges | 27 |
| abstract_inverted_index.further | 196 |
| abstract_inverted_index.initial | 185 |
| abstract_inverted_index.machine | 93 |
| abstract_inverted_index.ordered | 55 |
| abstract_inverted_index.outputs | 147 |
| abstract_inverted_index.quantum | 41, 173 |
| abstract_inverted_index.revised | 71 |
| abstract_inverted_index.unifies | 40 |
| abstract_inverted_index.updated | 4 |
| abstract_inverted_index.version | 6, 72 |
| abstract_inverted_index.without | 57 |
| abstract_inverted_index.RG–VEC | 127 |
| abstract_inverted_index.Unifying | 12 |
| abstract_inverted_index.contains | 2 |
| abstract_inverted_index.discrete | 133 |
| abstract_inverted_index.dynamics | 46 |
| abstract_inverted_index.identity | 86 |
| abstract_inverted_index.includes | 73 |
| abstract_inverted_index.physical | 68 |
| abstract_inverted_index.presents | 165 |
| abstract_inverted_index.relation | 107 |
| abstract_inverted_index.singular | 184 |
| abstract_inverted_index.\varphi^n | 110 |
| abstract_inverted_index.behaviour | 124 |
| abstract_inverted_index.cosmology | 176 |
| abstract_inverted_index.curvature | 141, 151 |
| abstract_inverted_index.directory | 158 |
| abstract_inverted_index.emergence | 188 |
| abstract_inverted_index.expansion | 182 |
| abstract_inverted_index.mechanics | 174 |
| abstract_inverted_index.numerical | 77, 146 |
| abstract_inverted_index.recursion | 30 |
| abstract_inverted_index.recursive | 180 |
| abstract_inverted_index.sequences | 118 |
| abstract_inverted_index.structure | 43 |
| abstract_inverted_index.system• | 140 |
| abstract_inverted_index.traces• | 122 |
| abstract_inverted_index.unordered | 116 |
| abstract_inverted_index.verifies: | 82 |
| abstract_inverted_index.Cosmology: | 11 |
| abstract_inverted_index.Cosmos”, | 18 |
| abstract_inverted_index.Framework, | 201 |
| abstract_inverted_index.Ghost-Time | 21 |
| abstract_inverted_index.conceptual | 168 |
| abstract_inverted_index.continuous | 138 |
| abstract_inverted_index.curvature, | 190 |
| abstract_inverted_index.evolution. | 194 |
| abstract_inverted_index.ghost-time | 117 |
| abstract_inverted_index.mechanical | 42 |
| abstract_inverted_index.primitive. | 37 |
| abstract_inverted_index.recursion, | 129 |
| abstract_inverted_index.repository | 1 |
| abstract_inverted_index.time-index | 106 |
| abstract_inverted_index.transition | 66 |
| abstract_inverted_index.validation | 78 |
| abstract_inverted_index.φ-cascade | 99 |
| abstract_inverted_index.φ-induced | 61 |
| abstract_inverted_index.“Towards | 8 |
| abstract_inverted_index.continuity, | 58, 62, 191 |
| abstract_inverted_index.distinction | 114 |
| abstract_inverted_index.ghost-time, | 52 |
| abstract_inverted_index.information | 197 |
| abstract_inverted_index.introducing | 19 |
| abstract_inverted_index.mechanisms: | 50 |
| abstract_inverted_index.11/φ=φ−1 | 91 |
| abstract_inverted_index.I_nIn+1=φIn | 103 |
| abstract_inverted_index.cosmological | 45, 128 |
| abstract_inverted_index.golden-ratio | 85 |
| abstract_inverted_index.mathematical | 170 |
| abstract_inverted_index.precision• | 94 |
| abstract_inverted_index.reproducible | 76 |
| abstract_inverted_index.transparency | 160 |
| abstract_inverted_index.φ-activated | 29 |
| abstract_inverted_index.demonstrating | 178 |
| abstract_inverted_index.framework—a | 22 |
| abstract_inverted_index.invertibility | 96 |
| abstract_inverted_index.tn=φn−1t_n | 108 |
| abstract_inverted_index.φ-structured | 120 |
| abstract_inverted_index.1tn=φn−1• | 112 |
| abstract_inverted_index.structure—not | 181 |
| abstract_inverted_index.In+1=φInI_{n+1} | 100 |
| abstract_inverted_index.reproducibility. | 162 |
| abstract_inverted_index.validation_output/ | 157 |
| abstract_inverted_index.conditions—drives | 186 |
| abstract_inverted_index.1/φ=φ−11/\varphi | 87 |
| abstract_inverted_index.S3(π/2)S^3(\pi/2)S3(π/2) | 144 |
| abstract_inverted_index.Needham:[email protected] | 205 |
| abstract_inverted_index.(ghost_time_cosmology_validation_full.py), | 80 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 1 |
| citation_normalized_percentile |