Conservative Motion Theory – UO3: GEX Density and Spectral Flow Article Swipe

View

Kawasaki, Hideyo ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.5281/zenodo.17828864

The previous paper (UO2) established the existence, uniqueness, and minimality of theGiant Exchange Kernel (GEX) in the external UO-domain. GEX was shown to projectinto the internal universe as an effective gravitational field reproducing all dark-matter-likephenomena.In this paper (UO3), we compute the full spectral density of GEX, derive its closed-formasymptotics, construct its continuous radial approximation, and demonstrate its observationalequivalence to dark matter across scales: cluster κ-maps (Abell 2744, Bullet, MACS J0416),galaxy rotation curves (SPARC), and large-scale flows.We prove that the densityρGEX(r) = C0 e−2r/r0 r−(α+1)arises universally from the spectral edge of the external bulk operator B, and that internalprojection of this density reproduces all gravitational anomalies without invoking dark matteror modified gravity.This establishes GEX as the sole external gravitational source required by the internaluniverse and completes the operator-theoretic foundation for an external cosmology.

Related Topics

Computational Physics

Universe

Mathematics

Dark Matter

Mathematical Analysis

Geometry

Concepts

Physics Gravitation Gravitational field Operator (biology) Kernel (algebra) Classical mechanics Motion (physics) Spectral density Field (mathematics) Flow (mathematics) Spectral line Rotation (mathematics) Computational physics Spectral theory Universe Mathematics Dark matter Cluster (spacecraft) Gravitational acceleration Spectral analysis Mathematical analysis Kernel density estimation Geometry

Metadata

Type: preprint
Landing Page: https://doi.org/10.5281/zenodo.17828864
OA Status: green
OpenAlex ID: https://openalex.org/W7108964471

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W7108964471

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.5281/zenodo.17828864

Digital Object Identifier
Title: Conservative Motion Theory – UO3: GEX Density and Spectral Flow

Work title
Type: preprint

OpenAlex work type
Publication year: 2025

Year of publication
Publication date: 2025-12-05

Full publication date if available
Authors: Kawasaki, Hideyo

List of authors in order
Landing page: https://doi.org/10.5281/zenodo.17828864

Publisher landing page
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://doi.org/10.5281/zenodo.17828864

Direct OA link when available
Concepts: Physics, Gravitation, Gravitational field, Operator (biology), Kernel (algebra), Classical mechanics, Motion (physics), Spectral density, Field (mathematics), Flow (mathematics), Spectral line, Rotation (mathematics), Computational physics, Spectral theory, Universe, Mathematics, Dark matter, Cluster (spacecraft), Gravitational acceleration, Spectral analysis, Mathematical analysis, Kernel density estimation, Geometry

Top concepts (fields/topics) attached by OpenAlex
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W7108964471
doi	https://doi.org/10.5281/zenodo.17828864
ids.doi	https://doi.org/10.5281/zenodo.17828864
ids.openalex	https://openalex.org/W7108964471
fwci
type	preprint
title	Conservative Motion Theory – UO3: GEX Density and Spectral Flow
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C121332964
concepts[0].level	0
concepts[0].score	0.6247337460517883
concepts[0].wikidata	https://www.wikidata.org/wiki/Q413
concepts[0].display_name	Physics
concepts[1].id	https://openalex.org/C124017977
concepts[1].level	2
concepts[1].score	0.5832854509353638
concepts[1].wikidata	https://www.wikidata.org/wiki/Q11412
concepts[1].display_name	Gravitation
concepts[2].id	https://openalex.org/C14257148
concepts[2].level	2
concepts[2].score	0.5658926963806152
concepts[2].wikidata	https://www.wikidata.org/wiki/Q558066
concepts[2].display_name	Gravitational field
concepts[3].id	https://openalex.org/C17020691
concepts[3].level	5
concepts[3].score	0.45398247241973877
concepts[3].wikidata	https://www.wikidata.org/wiki/Q139677
concepts[3].display_name	Operator (biology)
concepts[4].id	https://openalex.org/C74193536
concepts[4].level	2
concepts[4].score	0.42067915201187134
concepts[4].wikidata	https://www.wikidata.org/wiki/Q574844
concepts[4].display_name	Kernel (algebra)
concepts[5].id	https://openalex.org/C74650414
concepts[5].level	1
concepts[5].score	0.4071997404098511
concepts[5].wikidata	https://www.wikidata.org/wiki/Q11397
concepts[5].display_name	Classical mechanics
concepts[6].id	https://openalex.org/C104114177
concepts[6].level	2
concepts[6].score	0.4022832214832306
concepts[6].wikidata	https://www.wikidata.org/wiki/Q79782
concepts[6].display_name	Motion (physics)
concepts[7].id	https://openalex.org/C168110828
concepts[7].level	2
concepts[7].score	0.36328384280204773
concepts[7].wikidata	https://www.wikidata.org/wiki/Q1331626
concepts[7].display_name	Spectral density
concepts[8].id	https://openalex.org/C9652623
concepts[8].level	2
concepts[8].score	0.35957950353622437
concepts[8].wikidata	https://www.wikidata.org/wiki/Q190109
concepts[8].display_name	Field (mathematics)
concepts[9].id	https://openalex.org/C38349280
concepts[9].level	2
concepts[9].score	0.33732184767723083
concepts[9].wikidata	https://www.wikidata.org/wiki/Q1434290
concepts[9].display_name	Flow (mathematics)
concepts[10].id	https://openalex.org/C4839761
concepts[10].level	2
concepts[10].score	0.32186004519462585
concepts[10].wikidata	https://www.wikidata.org/wiki/Q212111
concepts[10].display_name	Spectral line
concepts[11].id	https://openalex.org/C74050887
concepts[11].level	2
concepts[11].score	0.31754225492477417
concepts[11].wikidata	https://www.wikidata.org/wiki/Q848368
concepts[11].display_name	Rotation (mathematics)
concepts[12].id	https://openalex.org/C30475298
concepts[12].level	1
concepts[12].score	0.3015323281288147
concepts[12].wikidata	https://www.wikidata.org/wiki/Q909554
concepts[12].display_name	Computational physics
concepts[13].id	https://openalex.org/C98306654
concepts[13].level	3
concepts[13].score	0.3015093505382538
concepts[13].wikidata	https://www.wikidata.org/wiki/Q2409122
concepts[13].display_name	Spectral theory
concepts[14].id	https://openalex.org/C84999194
concepts[14].level	2
concepts[14].score	0.2922111749649048
concepts[14].wikidata	https://www.wikidata.org/wiki/Q1
concepts[14].display_name	Universe
concepts[15].id	https://openalex.org/C33923547
concepts[15].level	0
concepts[15].score	0.28808537125587463
concepts[15].wikidata	https://www.wikidata.org/wiki/Q395
concepts[15].display_name	Mathematics
concepts[16].id	https://openalex.org/C159249277
concepts[16].level	2
concepts[16].score	0.28361231088638306
concepts[16].wikidata	https://www.wikidata.org/wiki/Q79925
concepts[16].display_name	Dark matter
concepts[17].id	https://openalex.org/C164866538
concepts[17].level	2
concepts[17].score	0.2794467508792877
concepts[17].wikidata	https://www.wikidata.org/wiki/Q367351
concepts[17].display_name	Cluster (spacecraft)
concepts[18].id	https://openalex.org/C71976986
concepts[18].level	3
concepts[18].score	0.27282270789146423
concepts[18].wikidata	https://www.wikidata.org/wiki/Q30006
concepts[18].display_name	Gravitational acceleration
concepts[19].id	https://openalex.org/C2983668108
concepts[19].level	3
concepts[19].score	0.27045637369155884
concepts[19].wikidata	https://www.wikidata.org/wiki/Q280453
concepts[19].display_name	Spectral analysis
concepts[20].id	https://openalex.org/C134306372
concepts[20].level	1
concepts[20].score	0.2618689239025116
concepts[20].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[20].display_name	Mathematical analysis
concepts[21].id	https://openalex.org/C71134354
concepts[21].level	3
concepts[21].score	0.25718754529953003
concepts[21].wikidata	https://www.wikidata.org/wiki/Q458825
concepts[21].display_name	Kernel density estimation
concepts[22].id	https://openalex.org/C2524010
concepts[22].level	1
concepts[22].score	0.2569771707057953
concepts[22].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[22].display_name	Geometry
keywords[0].id	https://openalex.org/keywords/gravitation
keywords[0].score	0.5832854509353638
keywords[0].display_name	Gravitation
keywords[1].id	https://openalex.org/keywords/gravitational-field
keywords[1].score	0.5658926963806152
keywords[1].display_name	Gravitational field
keywords[2].id	https://openalex.org/keywords/operator
keywords[2].score	0.45398247241973877
keywords[2].display_name	Operator (biology)
keywords[3].id	https://openalex.org/keywords/kernel
keywords[3].score	0.42067915201187134
keywords[3].display_name	Kernel (algebra)
keywords[4].id	https://openalex.org/keywords/motion
keywords[4].score	0.4022832214832306
keywords[4].display_name	Motion (physics)
keywords[5].id	https://openalex.org/keywords/spectral-density
keywords[5].score	0.36328384280204773
keywords[5].display_name	Spectral density
keywords[6].id	https://openalex.org/keywords/field
keywords[6].score	0.35957950353622437
keywords[6].display_name	Field (mathematics)
keywords[7].id	https://openalex.org/keywords/flow
keywords[7].score	0.33732184767723083
keywords[7].display_name	Flow (mathematics)
language
locations[0].id	doi:10.5281/zenodo.17828864
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	cc-by
locations[0].pdf_url
locations[0].version
locations[0].raw_type	article
locations[0].license_id	https://openalex.org/licenses/cc-by
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.17828864
indexed_in	datacite
authorships[0].author.id
authorships[0].author.orcid
authorships[0].author.display_name	Kawasaki, Hideyo
authorships[0].author_position	first
authorships[0].raw_author_name	Kawasaki, Hideyo
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.17828864
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-12-06T00:00:00
display_name	Conservative Motion Theory – UO3: GEX Density and Spectral Flow
has_fulltext	False
is_retracted	False
updated_date	2025-12-06T23:14:57.273132
primary_topic
cited_by_count	0
locations_count	1
best_oa_location.id	doi:10.5281/zenodo.17828864
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	cc-by
best_oa_location.pdf_url
best_oa_location.version
best_oa_location.raw_type	article
best_oa_location.license_id	https://openalex.org/licenses/cc-by
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.17828864
primary_location.id	doi:10.5281/zenodo.17828864
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	cc-by
primary_location.pdf_url
primary_location.version
primary_location.raw_type	article
primary_location.license_id	https://openalex.org/licenses/cc-by
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.17828864
publication_date	2025-12-05
publication_year	2025
referenced_works_count	0
abstract_inverted_index.=	80
abstract_inverted_index.B,	94
abstract_inverted_index.C0	81
abstract_inverted_index.an	28, 129
abstract_inverted_index.as	27, 113
abstract_inverted_index.by	120
abstract_inverted_index.in	15
abstract_inverted_index.of	10, 44, 89, 98
abstract_inverted_index.to	22, 58
abstract_inverted_index.we	38
abstract_inverted_index.GEX	19, 112
abstract_inverted_index.The	0
abstract_inverted_index.all	33, 102
abstract_inverted_index.and	8, 54, 73, 95, 123
abstract_inverted_index.for	128
abstract_inverted_index.its	47, 50, 56
abstract_inverted_index.the	5, 16, 24, 40, 78, 86, 90, 114, 121, 125
abstract_inverted_index.was	20
abstract_inverted_index.GEX,	45
abstract_inverted_index.MACS	68
abstract_inverted_index.bulk	92
abstract_inverted_index.dark	59, 107
abstract_inverted_index.edge	88
abstract_inverted_index.from	85
abstract_inverted_index.full	41
abstract_inverted_index.sole	115
abstract_inverted_index.that	77, 96
abstract_inverted_index.this	35, 99
abstract_inverted_index.(GEX)	14
abstract_inverted_index.(UO2)	3
abstract_inverted_index.2744,	66
abstract_inverted_index.field	31
abstract_inverted_index.paper	2, 36
abstract_inverted_index.prove	76
abstract_inverted_index.shown	21
abstract_inverted_index.(Abell	65
abstract_inverted_index.(UO3),	37
abstract_inverted_index.Kernel	13
abstract_inverted_index.across	61
abstract_inverted_index.curves	71
abstract_inverted_index.derive	46
abstract_inverted_index.matter	60
abstract_inverted_index.radial	52
abstract_inverted_index.source	118
abstract_inverted_index.Bullet,	67
abstract_inverted_index.cluster	63
abstract_inverted_index.compute	39
abstract_inverted_index.density	43, 100
abstract_inverted_index.scales:	62
abstract_inverted_index.without	105
abstract_inverted_index.κ-maps	64
abstract_inverted_index.(SPARC),	72
abstract_inverted_index.Exchange	12
abstract_inverted_index.external	17, 91, 116, 130
abstract_inverted_index.flows.We	75
abstract_inverted_index.internal	25
abstract_inverted_index.invoking	106
abstract_inverted_index.matteror	108
abstract_inverted_index.modified	109
abstract_inverted_index.operator	93
abstract_inverted_index.previous	1
abstract_inverted_index.required	119
abstract_inverted_index.rotation	70
abstract_inverted_index.spectral	42, 87
abstract_inverted_index.theGiant	11
abstract_inverted_index.universe	26
abstract_inverted_index.anomalies	104
abstract_inverted_index.completes	124
abstract_inverted_index.construct	49
abstract_inverted_index.effective	29
abstract_inverted_index.e−2r/r0	82
abstract_inverted_index.UO-domain.	18
abstract_inverted_index.continuous	51
abstract_inverted_index.cosmology.	131
abstract_inverted_index.existence,	6
abstract_inverted_index.foundation	127
abstract_inverted_index.minimality	9
abstract_inverted_index.reproduces	101
abstract_inverted_index.demonstrate	55
abstract_inverted_index.established	4
abstract_inverted_index.establishes	111
abstract_inverted_index.large-scale	74
abstract_inverted_index.projectinto	23
abstract_inverted_index.reproducing	32
abstract_inverted_index.uniqueness,	7
abstract_inverted_index.universally	84
abstract_inverted_index.gravity.This	110
abstract_inverted_index.J0416),galaxy	69
abstract_inverted_index.gravitational	30, 103, 117
abstract_inverted_index.approximation,	53
abstract_inverted_index.densityρGEX(r)	79
abstract_inverted_index.internaluniverse	122
abstract_inverted_index.r−(α+1)arises	83
abstract_inverted_index.internalprojection	97
abstract_inverted_index.operator-theoretic	126
abstract_inverted_index.closed-formasymptotics,	48
abstract_inverted_index.observationalequivalence	57
abstract_inverted_index.dark-matter-likephenomena.In	34
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	1
citation_normalized_percentile