Lorentz Transformations definitions Flashcards
Lorentz Transformations definitions
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Lorentz TransformationsMathematical equations in special relativity that relate space and time coordinates between different inertial frames.Inertial FramesReference frames where objects move at constant velocity unless acted upon by external forces.Time DilationPhenomenon where time is measured to run slower in a moving frame compared to a stationary frame.Length ContractionReduction in length measured along the direction of motion for objects moving at relativistic speeds.Lorentz FactorFactor (gamma) that quantifies time dilation and length contraction, increasing as velocity approaches light speed.Galilean TransformationsEquations used in classical mechanics to relate coordinates between inertial frames at low speeds.BoostRelative velocity between two inertial frames, typically aligned along a specific axis in transformations.Velocity TransformationsEquations in special relativity that adjust velocities between frames, ensuring they don't exceed light speed.Perpendicular VelocitiesVelocities in directions orthogonal to the boost, affected by time dilation but not length contraction.Proper FrameReference frame in which an object is at rest, used as a baseline for measuring time and length.Non-Proper FrameReference frame in which an object is moving, leading to observed effects like time dilation.Relativistic EffectsPhenomena such as time dilation and length contraction that occur at velocities close to light speed.Coordinate SystemsFrameworks for specifying positions and times in different reference frames, crucial for transformations.Speed of LightUltimate speed limit in the universe, denoted by c, fundamental to the theory of relativity.Reference FrameA perspective from which measurements of position, velocity, and time are made.