Hyperbolic orthogonalityIn geometry, given a pair of conjugate hyperbolas, two conjugate diameters are hyperbolically orthogonal. This relationship of diameters was described by Apollonius of Perga and has been modernized using analytic geometry. Hyperbolically orthogonal lines appear in special relativity as temporal and spatial directions that show the relativity of simultaneity.
World linePath of an object through spacetime General relativity G μ ν + Λ g μ ν = κ T μ ν {\displaystyle G_{\mu u }+\Lambda g_{\mu u }={\kappa }T_{\mu u }} Introduction HistoryTimelineTests Mathematical formulation Fundamental concepts Equivalence principle Special relativity World line Pseudo-Riemannian manifold Phenomena Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon Singularity Black hole Spacetime Spacetime diagrams Minkowski spacetime Metric tensor EquationsFormalisms Equations Linearized gravity Einstein field equations Friedmann Geodesics Mathisson–Papapetrou–Dixon Hamilton–Jacobi–Einstein Raychaudhuri Teukolsky Formalisms ADM NP BSSN Post-Newtonian Advanced theory Kaluza–Klein theory Quantum gravity Quantum field theory in curved spacetime Solutions Schwarzschild (interior) Reissner–Nordström Einstein–Rosen waves Wormhole Gödel Kerr Kerr–Newman Kerr–Newman–de Sitter Kasner Kantowski-Sachs Lemaître–Tolman Wahlquist Taub–NUT Milne Robertson–Walker Oppenheimer–Snyder pp-wave van Stockum dust Hartle–Thorne Vaidya Peres De Sitter-Schwarzschild McVittie Weyl Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann Milne Zwicky Lemaître Oppenheimer Gödel Wheeler Robertson Bardeen Walker Kerr Chandrasekhar Ehlers Penrose Hawking Raychaudhuri Taylor Hulse van Stockum Taub Newman Yau Thorne others Physics portal Categoryvte The world line (or worldline) of an object is the path that an object traces in 4-dimensional spacetime.
Event (relativity)Situation or occurrence located at a specific point in space and time An event in spacetime and a 2D slice of its causal cone.
Length contractionLength contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame. It is also known as Lorentz contraction or Lorentz–FitzGerald contraction (after Hendrik Lorentz and George Francis FitzGerald) and is usually only noticeable at a substantial fraction of the speed of light. Length contraction is only measured in the direction in which the body is travelling.Henri PoincaréJules Henri Poincaré (UK: , US: ; French:; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime. He has further been called "the Gauss of modern mathematics".
Special relativityTheory of interwoven space and time by Albert EinsteinAlbert Einstein around 1905, the year his paper on special relativity was publishedIn physics, the special theory of relativity, or simply special relativity, is a scientific theory of the relationship between space and time.
Albert EinsteinPersonalHousePolitical viewsReligious viewsFamilyBrainBlackboardRefrigeratorOppenheimer relationshipPhysicsGeneral relativityMass–energy equivalenceBrownian motionPhotoelectric effectWorksArchivesScientific publicationsAnnus Mirabilis papers (1905)"Investigations on the Theory ofBrownian Movement" (1905)Relativity: The Special andthe General Theory (1916)The World as I See It (1934)"Why Socialism?"Frame of referenceIn physics and astronomy, a frame of reference (or reference frame) is an abstract coordinate system, whose origin, orientation, and scale have been specified in physical space. It is based on a set of reference points, defined as geometric points whose position is identified both mathematically (with numerical coordinate values) and physically (signaled by conventional markers).
Time in physicsIn physics, time is defined by its measurement: time is what a clock reads. In classical, non-relativistic physics, it is a scalar quantity (often denoted by the symbol t{\displaystyle t}) and, like length, mass, and charge, is usually described as a fundamental quantity. Time can be combined mathematically with other physical quantities to derive other concepts such as motion, kinetic energy and time-dependent fields.Time dilationTime dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity, a consequence of special relativity, or a difference in gravitational potential between their locations due to gravitational time dilation. When unspecified, "time dilation" usually refers to the effect due to velocity.PhysicsPhysics is the scientific study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. It is one of the most fundamental scientific disciplines. A scientist who specializes in the field of physics is called a physicist. Physics is one of the oldest academic disciplines.
Absolute space and timeAbsolute space and time is a concept in physics and philosophy about the properties of the universe. In physics, absolute space and time may be a preferred frame. Early conceptA version of the concept of absolute space (in the sense of a preferred frame) can be seen in Aristotelian physics.
simultaneityRelated word or term.*As an Amazon Associate I earn from qualifying purchases.