S^{d-1}
From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-06-06.)
S^{d-1} has 8 facts recorded in Dontopedia across 8 references, with 1 live disagreement.
Mostly:rdf:type(2), is geometry(1), is hypersphere(1)
Maturity scale
raw canonical shape-checked rule-derived certifiedInbound mentions (22)
Other subjects in dontopedia point AT this entity as a value. These are inverse relationships — e.g. "X motherOf this subject" — and answer questions the forward facts can't. Grouped by predicate.
locatedOnLocated on(2)
- Finite Network of Lohe Oscillators
ex:finite-network-of-lohe-oscillators - Lohe Oscillators
ex:lohe-oscillators
areOntologicallyContinuousAre Ontologically Continuous(1)
- Oscillator States
ex:oscillator-states
commitsToSphericalGeometryCommits to Spherical Geometry(1)
- Lohe Ar Decoder
ex:lohe-ar-decoder
commitsToSphericalOntologyCommits to Spherical Ontology(1)
- Architecture
ex:architecture
doesGeodesicsOnDoes Geodesics on(1)
- Rotate Rows
ex:_rotate-rows
hasFusionSubstrateHas Fusion Substrate(1)
- Lohe Native Fed Sym
ex:lohe-native-fed-sym
hasOscillatorFrequencyDomainHas Oscillator Frequency Domain(1)
- Oscillator System
ex:oscillator-system
hasSpaceHas Space(1)
- Lohe Oscillator Network
ex:Lohe-oscillator-network
haveNaturalFrequenciesOnHave Natural Frequencies on(1)
- Basic Oscillators
ex:basic-oscillators
haveStatesOnHave States on(1)
- Lohe Oscillators
ex:lohe-oscillators
implementedAsImplemented As(1)
- Fusion Substrate
ex:fusion-substrate
isExactOnIs Exact on(1)
- Exp Map Geodesic
ex:exp-map-geodesic
modeledOnSphereModeled on Sphere(1)
- Weights
ex:weights
onSphereOn Sphere(1)
- Direction
ex:direction
ontoSmallRegionOfOnto Small Region of(1)
- Encoder Collapse
ex:encoder-collapse
operateOnOperate on(1)
- Lohe Oscillators
ex:lohe-oscillators
operatesOnOperates on(1)
- Spherical Vq Architecture
ex:spherical-vq-architecture
presupposesSGeometryPresupposes S Geometry(1)
- Rest of Model
ex:rest-of-model
refersToHypersphereRefers to Hypersphere(1)
- S D 1
ex:s-d-1
resideOnSphereReside on Sphere(1)
- Weight Vectors
ex:weight-vectors
usesSphericalGeometryUses Spherical Geometry(1)
- Vq Experiment
ex:vq-experiment
Other facts (7)
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Timeline
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References (8)
ctx:discord/blah/watt-activation/part-282ctx:discord/blah/watt-activation/part-287ctx:discord/blah/watt-activation/part-436ctx:discord/blah/watt-activation/part-444ctx:discord/blah/watt-activation/part-438ctx:discord/blah/watt-activation/434- full textwatt-activation-434text/plain2 KB
doc:agent/watt-activation-434/ddc06865-c5ae-409c-bb5f-e56223a04acfShow excerpt
[2026-03-20 06:51] xenonfun: asking about the The interesting part is Tier 4: Lohe-native FedSym. Block-diagonal fusion of oscillator groups + geodesic phase coupling growing cross-client connections + the complexity meter tracking which …
ctx:discord/blah/watt-activation/436- full textwatt-activation-436text/plain2 KB
doc:agent/watt-activation-436/bc2ae024-df8e-494b-a583-969758bd9091Show excerpt
[2026-03-20 07:02] xenonfun: ⏺ That's a sharper take. Strip it to the essentials: Basic oscillators with natural frequencies on S^{d-1}. No Lohe sync, no coupling dynamics. The combinatorics of mixing groups from different clients IS the…
ctx:discord/blah/watt-activation/442- full textwatt-activation-442text/plain3 KB
doc:agent/watt-activation-442/4a191d40-890e-4320-8c60-934b29a8babeShow excerpt
[2026-03-20 15:37] omega [bot]: The comic generation quota for image creation is currently exceeded. I can't produce the visual comic right now. But here's the sharp summary for now: - Clients have distinct oscillator spectral groups (the…
See also
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