What are FOUR VECTORS in Special Relativity? | 4-Vector Velocity, Acceleration, Momentum etc – YouTube

What are FOUR VECTORS in Special Relativity? | 4-Vector Velocity, Acceleration, Momentum etc



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  • Video Views: 22364
  • Published On: 2022-04-26 21:47:14
  • Video Published/Author: For the Love of Physics
  • Video Duration: 01:01:54
  • Source: Watch on YouTube


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

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PLAYLIST ON Special Theory of Relativity
https://youtube.com/playlist?list=PLRN3HroZGu2nqysla3fazpMbEprTGTZx3
—————————————————–
1. History of Special Relativity ► https://youtu.be/P79Ur8LVcy8
2. Michelson Morley Experiment ► https://youtu.be/FQGGSNIWm3o
3. Special Theory of Relativity ► https://youtu.be/RYIY4APbV5Q
4. Time Dilation (Thought Exp) ► https://youtu.be/lBiAE4Lxy8g
5. Length Contraction (Thought Exp) ► https://youtu.be/Ajjf_rIufb0
6. Lorentz Transormations ► https://youtu.be/6pj1f8x3APg
7. Relativity of Simultaneity ► https://youtu.be/vOSIGViCT-s
8. Can you prove E=MC² ► https://youtu.be/VZEhmWFlrnM
—————————————————–
9. Special Theory of Relativity ► https://youtu.be/OqhsiylAsFI
10. Length Contraction ► https://youtu.be/mMXa0OwFzWQ
11. Length Contraction of Inclined Rod ► https://youtu.be/D53-VROc01A
12. Time Dilation ► https://youtu.be/wIS-LvdsAzg
13. Muon Decay Experiment ► https://youtu.be/b-cdKCYX5ZA
14. Relativistic Velocity Transformations ► https://youtu.be/e21RCw8GRjM
15. Speed of light in moving medium ► https://youtu.be/WQfqHDsHAZM
16. Relativistic Doppler Effect ► https://youtu.be/d6ieu0Z8gAo
17. Relativistic Mass? ► https://youtu.be/YaaiPQ_nlyM
18. Relativistic Kinetic Energy ► https://youtu.be/TwKSGVKfIXw
19. Relativistic Force ► https://youtu.be/fYfdIs7GMrI
20. Relativistic Energy & Momentum ► https://youtu.be/X4xLx8fxdy4
21. Magnetism arises from Relativity ► https://youtu.be/WwzB1JvsyYc
22. GATE Physics question ► https://youtu.be/lUPZYVCHR_E
23. TIFR Physics question ► https://youtu.be/L9lKOzCX-Qs
24. Question on Volume contraction ► https://youtu.be/FTtxLmwOnmM
25. JEST Physics question ► https://youtu.be/bfO0U_SbUyo
26. NET Physics question ► https://youtu.be/PQaaNbXau3c
27. Spacetime Invariant Interval ► https://youtu.be/Fr_3QdSlimw
28. Minkowski Spacetime ► https://youtu.be/-PV1JqV3blY
29. Eucledian Space & Minkowski Spacetime ► https://youtu.be/N18Ld-cA25s
30. Spacetime Diagrams ► https://youtu.be/1de6GiqcCUc
31. Four Vectors in Relativity ► https://youtu.be/PulFmdtzmAU
32. Doppler Effect using 4-vectors ► https://youtu.be/Dyxy9FO_P9Q
33. Compton Effect using 4-vectors ► https://youtu.be/LumTSpb6Z28
34. Particle Decay using 4-vectors ► https://youtu.be/P9iPvI6Q1Yc
35. (SHORTS) Does Light experience time ► https://youtu.be/0BBaPM1p1Ok
36. (SHORTS) Light for moving observer ► https://youtu.be/tR5w11FgsW4
37. (SHORTS) Nothing can travel faster than light ► https://youtu.be/XrfHGPeBw1Q
38. (SHORTS) What is farther away ► https://youtu.be/klbalBRtEhE

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24 comments
  1. Sir please solve the hw once in all your previous videos too you have given the same hw to calc norm of 4 acc vector and find its LT Matrix solve it once if possible can’t get the solutions on internet

  2. Like always you were amazingly great and accurate. Knowing what doubts people have, it would have been nice if you could spend some time on certain things: (1) What actually is 4 velocity if it is constant? (2) Essentially, it relates to scale factor chosen for time axis..and also it will address issue why it is chosen as C as speed of light..So I leave a question on the table…nothing can travel faster than light..is it a postulate or is there a proof available?

  3. Sir i'm 18yr/o student. My ambition is to become a great theoretical physicist and gift something to science by me. Can you guide me? I'm now self studying general relativity and plan to go to quantum field theory and much more amazing topics

  4. Hi I was studying special theory of relativity by Robert resnick and a bit is only given about in the book.So it's Means that including 3 direction + time = 4 dimension but if there are 4 direction then what will we call it?

  5. I am currently self-studying STR through your playlist and it is amazing. I am midway through this playlist and willreturn to this video in a day or two after the other videos are done.

    One thing that I wanted to know, what else is there in STR that you still have not covered yet? Also what can be a good book for it?

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