The object (the totality of the world lines of its constituent particles) in different ways. To ascribe different shapes to the same object, because those slices will cut through the world-tube of If you and I are in relative motion, our different ideas of “space”Īt some moment - the 3-dimensional slice through spacetime that lies orthogonal to our world lines - can lead us In the spacetime of special relativity, this issue becomes more subtle, since there is no universal way to slice Then we say that the object is undergoing rigid motion. Of each point in the object to its present location x i( t): x i( t) = E( t) x i(0)
If we have a continuous 1-parameter family of such maps, E( t), that take the initial location x i(0) That preserves distances and angles is called a Euclidean isometry. In Newtonian physics, space obeys Euclidean geometry,Īnd the set of points that an object occupies at any given time is an unambiguous Moving through space without changing its shape. In everyday life, we’re familiar with the idea of a three-dimensional object Back to home page | Site Map | Side-bar Site Map.Symmetries and the 24-cell | Average Shadows | Ball Bearings in a Hypersphere | Black Hole Passing | Born Rigid Motion | Catacaustics | Resonant Modes of a Conical Cavity | The Doppler Shift Triangle Law | Conic Section Orbits | Dihedral Angles | The Ellipse and the Atom | Find The Fake Coin | The Finite Fall | General Relativity in 2+1 dimensions | Howell’s Moving Orbits | Klein's Quartic Curve | Paparazzo vs Bodyguards | Light Mill applet | Littlewood applet | LRL made easy | The Mermin-Peres Magic Square Game | There Are No Corkscrew Orbits | Peeling the Octonions | Ordered Sums | Optimised Origami | Weak-field GR near a planar mass | Polar Orbits Around Binary Stars | The Rindler Horizon | Rotating Elastic Rings, Disks and Hoops | Constant Weight Rollercoasters | Steffen’s Polyhedron | Superpermutations | Symmetric Waves | Symplectic applet | The Tell-Tale Board | Exact values of regular 10j symbols.If you link to this page, please use this URL:.Born Rigid Motion - Greg Egan Born Rigid Motion by Greg Egan
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