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