What are Four Vectors in Special Relativity? | 4-VECTOR Velocity, Acceleration, Momentum

4-Vectors or Four Vectors are physical quantities defined in 4D spacetime that contains four components/numbers, three corresponding to space or spatial components, and one corresponding to time or temporal component. Some examples of such four-vectors are velocity 4-vector, acceleration 4-vector, energy-momentum 4-vector etc. These 4-vectors have the property that they satisfy transformation rule similar to the one given by the Lorentz transformation rule (under a Lorentz transformation) and the magnitude of such vectors (obtained by the inner product of a 4-vector with itself) is invariant under a lorentz transformation.

00:00 Four Vectors
07:04 Transformation Rule
23:02 Inner Product & Minkowski Metric
32:11 Velocity 4-vector
49:57 Acceleration 4-Vector
53:53 Energy-Momentum 4-Vector

▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱
Join this channel to get access to perks:
https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join
▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱
💖Support https://www.patreon.com/dibyajyotidas
🌷 Donate https://paypal.me/FortheLoveofPhysics

Telegram https://t.me/FortheLoveofPhysicsYT
▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱

four-vector four-vectors in special theory of relativity four-vectors four-vector example four vectors four vectors in relativity 4-vector 4-vectors 4-vector notation 4-vectors in relativity minkowski spacetime 4d space time lorentz transformations inner product tensors metric tensor metric tensor matrix special theory of relativity relativity physics velocity 4 vector energy momentum 4 vector momentum 4 energy momentum tensor relativistic kinematics 4 vector