English Dictionary

Norton's dome

固有名詞

A thought experiment that exhibits a nondeterministic system within the bounds of Newtonian mechanics. It involves an idealized particle initially sitting motionless at the apex of an idealized radially symmetrical frictionless dome of a certain form. The particle may, after an arbitrary period of time, slide down the dome in an arbitrary direction, contrary to intuition.

日本語の意味

ニュートン力学の枠内で非決定論的な挙動を示す系を題材とした思考実験。理想化された摩擦のない放射状対称のドームの頂点に静止している粒子が、任意の時間経過後に予測不可能な方向へ滑り出す可能性がある状況を示す。

Norton's dome challenges our intuition by showing that an idealized particle perched at the apex of a perfectly symmetric, frictionless dome may remain motionless indefinitely or, after any arbitrary delay, begin sliding off in an arbitrary direction.

ノートンのドームは、理想化された完全に対称な摩擦のないドームの頂点に最初静止している粒子が、任意の時間経過の後に任意の方向へ滑り落ちることがあり得るという、ニュートン力学の範囲内で非決定論的な振る舞いを示す思考実験として直感に挑戦します。

意味（1）

A thought experiment that exhibits a nondeterministic system within the bounds of Newtonian mechanics. It involves an idealized particle initially sitting motionless at the apex of an idealized radially symmetrical frictionless dome of a certain form. The particle may, after an arbitrary period of time, slide down the dome in an arbitrary direction, contrary to intuition.