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Classical mechanics

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Summary

The classical theory family for motion and fields when quantum coherence, particle creation, relativistic effects, and strong-gravity effects are negligible at the required precision.

Record metadata

Regime

Accurate when relativistic and quantum corrections are negligible at the required precision.

Concept sources

Incoming relations (arrows to this concept)

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Physical theoryClassical mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Classical mechanics is a physical theory for regimes in which quantum, relativistic, and strong-gravity corrections are negligible.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Quantum mechanicsClassical mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Classical behavior emerges in suitable large-action, narrow-wavepacket, coarse-grained, and environmentally decohered regimes; no single universal 0\hbar\to0 limit covers all quantum systems.

How to interpret this relation type

The target is a collective, organizational, or scale-dependent phenomenon of the source constituents and interactions; it is not a mere list or classical sum of constituents.

Relation sources

Outgoing relations (arrows from this concept)

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Classical mechanicsClassical point particle

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Classical mechanics describes ideal point particles and finite-dimensional systems.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Classical mechanicsHamiltonian mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Hamiltonian mechanics reformulates classical dynamics on phase space.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Classical mechanicsLagrangian mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Lagrangian mechanics reformulates classical dynamics using an action principle.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Classical mechanicsNewtonian mechanics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Newtonian mechanics is a central nonrelativistic classical framework.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

Classical mechanicsRigid-body dynamics

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Rigid-body dynamics specializes classical mechanics by constraining relative positions within the modeled body, an approximation that fails when deformation, vibration, or internal dissipation matters.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources