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Friedmann equations

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

Relationships of Friedmann equations

Show relationship types (drawing only; the text lists are unaffected)
instance of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)part of (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)named after (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)notable work (Observed provider relationships)Friedmann equations — Wikidata entity (Q467736)FriedmannequationsWIKIDATA ENTITYsystem of differential equations — Wikidata entity (Q96407346)system ofdifferential…WIKIDATA ENTITY\Lambda — Literal value (wikidata:literal:1:\Lambda)\LambdaLITERAL VALUEa — Literal value (wikidata:literal:2:a)aLITERAL VALUEAlexander Friedmann — Wikidata entity (Q205981)AlexanderFriedmannWIKIDATA ENTITY\begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned} — Literal value (wikidata:literal:4:\begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned})\begin{aligned}(\dot…LITERAL VALUE\rho — Literal value (wikidata:literal:5:\rho)\rhoLITERAL VALUEFriedmann universe — Wikidata entity (Q3859858)FriedmannuniverseWIKIDATA ENTITYG — Literal value (wikidata:literal:7:G)GLITERAL VALUELL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav — Literal value (wikidata:literal:8:LL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav)LL-Q9610(ben)-Tahmid-ফ্…LITERAL VALUE\dot a/a — Literal value (wikidata:literal:10:\dot a/a)\dot a/aLITERAL VALUEw — Literal value (wikidata:literal:11:w)wLITERAL VALUE

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (12)

  • Friedmann equations — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q467736
    stable_ref
    Q467736
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q467736
    provider
    wikidata
    entity_href
    /entries/wikidata/Q467736
  • system of differential equations — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q96407346
    stable_ref
    Q96407346
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q96407346
    provider
    wikidata
    entity_href
    /entries/wikidata/Q96407346
  • \Lambda — Literal value
    Technical details
    node_id
    wikidata:literal:1:\Lambda
    stable_ref
    wikidata:literal:1:\Lambda
    node_kind
    wikidata_literal
    plane
    provider_observed
  • a — Literal value
    Technical details
    node_id
    wikidata:literal:2:a
    stable_ref
    wikidata:literal:2:a
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Alexander Friedmann — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q205981
    stable_ref
    Q205981
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q205981
    provider
    wikidata
    entity_href
    /entries/wikidata/Q205981
  • \begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned} — Literal value
    Technical details
    node_id
    wikidata:literal:4:\begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned}
    stable_ref
    wikidata:literal:4:\begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned}
    node_kind
    wikidata_literal
    plane
    provider_observed
  • \rho — Literal value
    Technical details
    node_id
    wikidata:literal:5:\rho
    stable_ref
    wikidata:literal:5:\rho
    node_kind
    wikidata_literal
    plane
    provider_observed
  • Friedmann universe — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q3859858
    stable_ref
    Q3859858
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q3859858
    provider
    wikidata
    entity_href
    /entries/wikidata/Q3859858
  • G — Literal value
    Technical details
    node_id
    wikidata:literal:7:G
    stable_ref
    wikidata:literal:7:G
    node_kind
    wikidata_literal
    plane
    provider_observed
  • LL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav — Literal value
    Technical details
    node_id
    wikidata:literal:8:LL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav
    stable_ref
    wikidata:literal:8:LL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav
    node_kind
    wikidata_literal
    plane
    provider_observed
  • \dot a/a — Literal value
    Technical details
    node_id
    wikidata:literal:10:\dot a/a
    stable_ref
    wikidata:literal:10:\dot a/a
    node_kind
    wikidata_literal
    plane
    provider_observed
  • w — Literal value
    Technical details
    node_id
    wikidata:literal:11:w
    stable_ref
    wikidata:literal:11:w
    node_kind
    wikidata_literal
    plane
    provider_observed

Edges (13)

  • Friedmann equations — instance of → system of differential equations — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → \Lambda — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → a — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → Alexander Friedmann — Observed provider relationships
    Technical details
    machine_predicate
    P61
    predicate_ref
    wikidata:property:P61
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P61
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → \begin{aligned}(\dot a/a)^2&=\frac{8\pi G\rho}3-\frac k{R^2}+\frac13\Lambda\\\ddot a/a&=\frac13\Lambda-\frac{4\pi G}3(1+3w)\rho\end{aligned} — Observed provider relationships
    Technical details
    machine_predicate
    P2534
    predicate_ref
    wikidata:property:P2534
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P2534
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → \rho — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — part of → Friedmann universe — Observed provider relationships
    Technical details
    machine_predicate
    P361
    predicate_ref
    wikidata:property:P361
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P361
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → G — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → LL-Q9610 (ben)-Tahmid-ফ্রিদমান সমীকরণ.wav — Observed provider relationships
    Technical details
    machine_predicate
    P443
    predicate_ref
    wikidata:property:P443
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P443
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — named after → Alexander Friedmann — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → \dot a/a — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:10:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Friedmann equations — Relationship label not yet available → w — Observed provider relationships
    Technical details
    machine_predicate
    P7235
    predicate_ref
    wikidata:property:P7235
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:11:P7235
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • Alexander Friedmann — notable work → Friedmann equations — Observed provider relationships
    Technical details
    machine_predicate
    P800
    predicate_ref
    wikidata:property:P800
    provider
    wikidata
    provider_direction
    incoming
    plane
    provider_observed
    edge_id
    wikidata:relation:12:P800
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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