sphere

as donto believed on

From Dontopedia, the open, paraconsistent wiki. (Last updated 2026-07-01.)

sphere has 7 facts recorded in Dontopedia across 6 references, with 2 live disagreements.

7 facts·4 predicates·6 sources·2 in dispute

Mostly:rdf:type(2), has points made on it(1), is geometric structure for(1)

Inbound mentions (29)

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.

`detectsSimilarityIn`Detects Similarity in(2)

Harmonic Memoryex:harmonic-memory
Systemex:system

`locatedOn`Located on(2)

Byte Positionsex:byte-positions
Low Rank Cross Attentionex:low-rank-cross-attention

`staysOn`Stays on(2)

Variable Kex:variable-k
Variable Qex:variable-q

`appliesWeightDecayOn`Applies Weight Decay on(1)

Adam Wex:AdamW

`assumesGeometricStructure`Assumes Geometric Structure(1)

Lohe Dynamicsex:lohe-dynamics

`attemptedToMakePointsOn`Attempted to Make Points on(1)

Xenonfun Session 1ex:xenonfun-session-1

`doesDftDecompositionOnSphere`Does Dft Decomposition on Sphere(1)

Lohe Spherical Ffn V3ex:lohe-spherical-ffn-v3

`equalsIsolatedNodeOn`Equals Isolated Node on(1)

Each Blockex:each-block

`existentiallyCommittedOn`Existentially Committed on(1)

Byte Positionsex:byte-positions

`existsOn`Exists on(1)

Oscillator Stateex:oscillator-state

`hasLocation`Has Location(1)

Oscillator Stateex:oscillator-state

`hasSelfOrganized`Has Self Organized(1)

Constellation Scatterex:constellation-scatter

`hasSimilarityDetection`Has Similarity Detection(1)

Lohe Sphere Systemex:lohe-sphere-system

`isInherentIn`Is Inherent in(1)

Linear Errorex:linear-error

`locatedIn`Located in(1)

Linear Errorex:linear-error

`location`Location(1)

Shifting Byte Positionsex:shifting-byte-positions

`movesQueriesMeaningfully`Moves Queries Meaningfully(1)

Lohe Syncex:lohe-sync

`needsToBeOn`Needs to Be on(1)

Targetex:target

`occupiesDifferentDirectionOn`Occupies Different Direction on(1)

Each Blockex:each-block

`occursOn`Occurs on(1)

Oscillator Dynamicsex:oscillator-dynamics

`onHigherDimensional`On Higher Dimensional(1)

Separate 256 Bytesex:separate-256-bytes

`positionsCloseToByteEOn`Positions Close to Byte E on(1)

Byte aex:byte-a

`reliesOnGeometricInductiveBiasOf`Relies on Geometric Inductive Bias of(1)

Proposed Approachex:proposed-approach

`stayCloseTo`Stay Close to(1)

Euclidean Stepsex:euclidean-steps

`structureIs`Structure Is(1)

Libraryex:library

`usesOscillatorDynamicsOn`Uses Oscillator Dynamics on(1)

Rust Manifold S3 Loheex:rust-manifold-s3-lohe

Other facts (5)

The long tail: predicates that appear too rarely to warrant their own section. Filter or scroll to find a specific one. Each row links to its source.

5 facts

Predicate	Value	Ref
Rdf:type	Manifold	[5]
Rdf:type	Geometric Domain	[6]
Has Points Made on It	Them	[1]
Is Geometric Structure for	S3	[2]
Provides Inductive Bias	Geometric Inductive Bias	[3]

Timeline axis is valid_time — when each source says the fact was true in the world, not when Dontopedia learned about it. Retracted rows are kept for provenance; coloured stripes indicate the context kind.

7 undated

—

hasPointsMadeOnItblah/general/part-119

ex:them

—

isGeometricStructureForblah/watt-activation/part-480

ex:s3

—

providesInductiveBiasblah/watt-activation/part-438

ex:geometric-inductive-bias

—

labelblah/watt-activation/212

sphere

—

typeblah/watt-activation/343

ex:Manifold

—

labelblah/watt-activation/343

S^{H-1}

—

typedocument/00361234-6f94-4879-8ec5-e355fe1f0141

ex:GeometricDomain

References (6)

6 references

[1]Part 1191 fact
ctx:discord/blah/general/part-119
[2]Part 4801 fact
ctx:discord/blah/watt-activation/part-480
[3]Part 4381 fact
ctx:discord/blah/watt-activation/part-438
[4]2121 fact
ctx:discord/blah/watt-activation/212
- full textwatt-activation-212
  text/plain3 KBdoc:agent/watt-activation-212/6835fc9f-e8f3-4cfe-b6ab-3f16b5dbc7d2
  Show excerpt
  [2026-03-11 04:12] xenonfun: ``` ⏺ The sidecar data is very revealing! Let me respond to the designer message while the run finishes. --- On Omega's optimizer question: RotationalAdamW is exactly the geometry-aware rotation optimizer d…
[5]3432 facts
ctx:discord/blah/watt-activation/343
- full textwatt-activation-343
  text/plain2 KBdoc:agent/watt-activation-343/758b6afd-7936-40ff-806a-3684984cdf9e
  Show excerpt
  [2026-03-15 23:13] xenonfun: ``` ⏺ Pushed f5d17e5. All EMA/stability/spike hacks removed. Both adaptive LR modes are now pure physics: direct measurement × capacity theory × convergence decay. On the LoheCrossCoupleModes comment — that's…
[6]00361234 6f94 4879 8ec5 E355fe1f01411 fact
ctx:claims/document/00361234-6f94-4879-8ec5-e355fe1f0141
- full textlisamegawatts: it can use the spectral input to see similarity in the sphere and the harmonics
  text/plain158 Bdiscord:convmsg/5605
  Show excerpt
  it can use the spectral input to see similarity in the sphere and the harmonics let ti capture that at different levels, so it resonates with prior similarity…

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sphere

Inbound mentions (29)

detectsSimilarityInDetects Similarity in(2)

locatedOnLocated on(2)

staysOnStays on(2)

appliesWeightDecayOnApplies Weight Decay on(1)

assumesGeometricStructureAssumes Geometric Structure(1)

attemptedToMakePointsOnAttempted to Make Points on(1)

doesDftDecompositionOnSphereDoes Dft Decomposition on Sphere(1)

equalsIsolatedNodeOnEquals Isolated Node on(1)

existentiallyCommittedOnExistentially Committed on(1)

existsOnExists on(1)

hasLocationHas Location(1)

hasSelfOrganizedHas Self Organized(1)

hasSimilarityDetectionHas Similarity Detection(1)

isInherentInIs Inherent in(1)

locatedInLocated in(1)

locationLocation(1)

movesQueriesMeaningfullyMoves Queries Meaningfully(1)

needsToBeOnNeeds to Be on(1)

occupiesDifferentDirectionOnOccupies Different Direction on(1)

occursOnOccurs on(1)

onHigherDimensionalOn Higher Dimensional(1)

positionsCloseToByteEOnPositions Close to Byte E on(1)

reliesOnGeometricInductiveBiasOfRelies on Geometric Inductive Bias of(1)

stayCloseToStay Close to(1)

structureIsStructure Is(1)

usesOscillatorDynamicsOnUses Oscillator Dynamics on(1)

Other facts (5)

Timeline

References (6)

See also

Keep researching

`detectsSimilarityIn`Detects Similarity in(2)

`locatedOn`Located on(2)

`staysOn`Stays on(2)

`appliesWeightDecayOn`Applies Weight Decay on(1)

`assumesGeometricStructure`Assumes Geometric Structure(1)

`attemptedToMakePointsOn`Attempted to Make Points on(1)

`doesDftDecompositionOnSphere`Does Dft Decomposition on Sphere(1)

`equalsIsolatedNodeOn`Equals Isolated Node on(1)

`existentiallyCommittedOn`Existentially Committed on(1)

`existsOn`Exists on(1)

`hasLocation`Has Location(1)

`hasSelfOrganized`Has Self Organized(1)

`hasSimilarityDetection`Has Similarity Detection(1)

`isInherentIn`Is Inherent in(1)

`locatedIn`Located in(1)

`location`Location(1)

`movesQueriesMeaningfully`Moves Queries Meaningfully(1)

`needsToBeOn`Needs to Be on(1)

`occupiesDifferentDirectionOn`Occupies Different Direction on(1)

`occursOn`Occurs on(1)

`onHigherDimensional`On Higher Dimensional(1)

`positionsCloseToByteEOn`Positions Close to Byte E on(1)

`reliesOnGeometricInductiveBiasOf`Relies on Geometric Inductive Bias of(1)

`stayCloseTo`Stay Close to(1)

`structureIs`Structure Is(1)

`usesOscillatorDynamicsOn`Uses Oscillator Dynamics on(1)