Time Dilation, Length Contraction & Velocity Addition using SPACETIME DIAGRAMS !! 😱
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- Опубликовано: 6 авг 2024
- How to use (Minkowski) SPACE TIME DIAGRAMS to prove - Time Dilation | Length Contraction | Relativistic Velocity Additions, etc?
In this video lecture, I show how simply we can demonstrate the consequences of Special theory of relativity using space time geometry calculations.
00:00 Introduction
01:50 Relativity of Simultaneous Events
09:42 Time Dilation
21:18 Length Contraction
37:11 Relativistic Addition of Velocities
Previous videos for context -
1. What is Minkowski Spacetime? • Minkowski SPACETIME, H...
2. Differences b/w Spacetime and Euclidean space • 5 Main Differences b/w...
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PLAYLIST ON Special Theory of Relativity
• Special Theory of Rela...
-----------------------------------------------------
1. History of Special Relativity ► • History of Special Rel...
2. Michelson Morley Experiment ► • Michelson Morley Exper...
3. Special Theory of Relativity ► • Special Theory of Rela...
4. Time Dilation (Thought Exp) ► • What is Time Dilation?...
5. Length Contraction (Thought Exp) ► • What is Length Contrac...
6. Lorentz Transormations ► • Derive Lorentz Transfo...
7. Relativity of Simultaneity ► • Relativity of Simultan...
8. Can you prove E=MC² ► • Can you PROVE the most...
-----------------------------------------------------
9. Special Theory of Relativity ► • Special Theory of Rela...
10. Length Contraction ► • Length Contraction (Sp...
11. Length Contraction of Inclined Rod ► • Length Contraction (& ...
12. Time Dilation ► • The Mind Bending Predi...
13. Muon Decay Experiment ► • The Mind-Blowing Proof...
14. Relativistic Velocity Transformations ► • Derivation of Relativi...
15. Speed of light in moving medium ► • Speed of Light in a mo...
16. Relativistic Doppler Effect ► • What is Relativistic D...
17. Relativistic Mass? ► • What is Relativistic m...
18. Relativistic Kinetic Energy ► • Relativistic Kinetic E...
19. Relativistic Force ► • Relativistic Force
20. Relativistic Energy & Momentum ► • Relativistic Energy an...
21. Magnetism arises from Relativity ► • The Hidden Connection ...
22. GATE Physics question ► • GATE Physics: Problem ...
23. TIFR Physics question ► • TIFR Physics: Problem ...
24. Question on Volume contraction ► • Volume Contraction in ...
25. JEST Physics question ► • JEST Physics: Solving ...
26. NET Physics question ► • CSIR-NET Physics Probl...
27. Spacetime Invariant Interval ► • SPACETIME Interval & i...
28. Minkowski Spacetime ► • Minkowski SPACETIME, H...
29. Eucledian Space & Minkowski Spacetime ► • 5 Main Differences b/w...
30. Spacetime Diagrams ► • Time Dilation, Length ...
31. Four Vectors in Relativity ► • What are FOUR VECTORS ...
32. Doppler Effect using 4-vectors ► • How to use 4 VECTORS t...
33. Compton Effect using 4-vectors ► • How to prove Compton e...
34. Particle Decay using 4-vectors ► • Particle Decay in Rela...
35. (SHORTS) Does Light experience time ► • Does light photon expe...
36. (SHORTS) Light for moving observer ► • What is the speed of L...
37. (SHORTS) Nothing can travel faster than light ► • Why nothing can travel...
38. (SHORTS) What is farther away ► • What is farther away, ...
5 differences between Eucledian Space & Minkowski Spacetime ► ruclips.net/video/N18Ld-cA25s/видео.html
You are a natural-born superb educator! I speak from experience as an Emeritus Professor (of medical physics) where communication and graphical explanations are paramount to reach non-physicists. My motto to students is "If you can't sketch it, you don't get it"! This set of videos ranks very high for clarity and "intuitive" explanations, using graphics rather than a maze of equations and algebra. Thank you!
Thank you 🙏
Sir you deserve 1 million plus subscribers. It doesn't get better than this folks.
:)
well we know sir is an excellent
physics teacher but also he has...
The Best Chalkboard setup on RUclips !!
I am watching his videos since 1 year and this is the best
Pure gold! Thank you very much! Hope many more will subscribe to your channel you absolutely deserve it! Greetings from Germany :)
Fantastic video 🎉 thanks!
Thank u so much for this video..till now I was confused about these concepts even after reading several times..but the way you have decoded is beyond words
please make general relativity whole lecture ... its my earnest request ! ur teaching style is just awesome !!!!!!!
Incredible.
You make us to understand the topic in easy and simple way.. Thank you..
Keep making videos on various topics..
thanks so much !
Beautifully explained! Thank you sir! 🙏
Sir please hindi me bhi samjhaya kijiye 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
muchas gracias!! me ha ayudado mucho
Thank you for the video.
Great video!!
I really appreciate your efforts to express your love for physics
You get nothing but ... Wonderful stuff.
Awesome!!!
Hats off Sir for your confidence level 👏🙌
Crystal clear...❤
Burned into my brain. Unforgettable. Thank you.
Thank you sir.😍👌
very nice , love yur videos
very good video sir,
you deserve a lot more love from the physics community
Thank you so much ❤️
*Very interesting and helpfull thanks Sir so much....
For the♥️♥️♥️♥️Physics*
You are brilliant sir
Very nice explanation sir, mai toh aapki explanation ka fan hogya sir. 😁😇🙌
🌚
There is a type of Space-Time diagram in which the scale for both systems is the same. They are called "Loedel Palumbo Diagrams" and with them any analysis of special relativity is significantly simpler. They were developed in the mid-20th century by the Uruguayan physicist Enrique Loedel Palumbo from the simple, but brilliant idea, of considering in a diagram of Minkowski not one, but two "mobile" systems with the same speed, but in opposite directions and then remove the "fixed" system from the middle and... voila! you have two systems with the same scale! .The relative speed between these two systems is now given by the sine of the angle between the axes, not by the tangetic and trigonometry is that of all life. It is a shame that they are not very widespread.
Wow ❤️
You are good I hope you do some research too
so the reason why in special relativity we consider the covariant and contravariant components is due to the fact that the axes of the primate system closes?
Your expression aswesome sir
Sir please make an video on a tensor
Sir,
1. Does world line of a phenomena changes when observer is changed?
2. Does world line of a phenomena concerning light changes when observer is changed?
Do you have an example problem, that we can apply to see if time dilation and length contraction does do its intended purpose, i.e. keeping the speed of light constant regardless of if you are a moving observer or a stationary one.
Using some real numbers, like v = 0.6c, and find out if time dilation and length contraction works.
More fun would be, what if v = -0.6c, opposite direction of the light travel?
How do you use a space time graph and then proceed to provide an example where the "Superman" observer is looking into the future at points P and Q (physically impossible)? Looking at an event at a far distance is in actuality the past. Someone please explain.
Make video on General Relativity 🤓 please.
Sir g
In which situation acceleration and velocity perpendicular to each other
Sir, kindly give the Briet winger one level formula.
Sir, when will the next masterclass batch start for IIT JAM?
Thk
thank you so much sir, really helpful
have a doubt sir. In wave propagation water or sound , how individual particle vibrations are transmitted from particle to particle in the direction of wave propagation? There are gaps between particles in solids, liquids and gases. Is this not against principle of locality?
"individual particle vibration"- u touched the Key Problem but u don't see the answer here, and u will not get it as i see in his comment about "the "nature of time" and don't expect he will answer U in the future on "Twin/clock paradox"(110 years old idiocy in textbooks). A particle does not vibrate; a quantum of field (like a light-electromagnetic one) oscillates but the field itself does not move! De Broglie was bothered with the same problem. There are no (your) gaps in the field
tan (Phi) should be U_Dash divided by V & not U_dash divided by C..... Please confirm
Sir. I don't know if I am correct, please let me know
If you use the triangle [ Q(0), Q, P ] then I guess you will have directly the relation between L(0) with L, because will have L cosh (fi) = L(0). Am I correct?
The hyperbolic angle between PQ and PQ(0) is (fi) because is the angle between axis (x) and (x')
In Advance, thank you very much for your work
I don't think its valid to use triangle [Q(0), Q, P]because PQ= delta l(0) and PQ(0) =delta l are spacetime intervals measured in different frames. But I think the maths can be simplified a bit by using PQ = delta l/tanh phi and PR = delta l(0)/ sinh phi.
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Would you like consider twins paradox for example. I mean in space time diagram.
Will do
Keep doing it👍
Plz start quantum mechanics
Thanks sir
If delta t is greater than delta t' how it is posible that the side of the triangle correposding to delta t is smaller than delta t' the hipotenous. How is the triangle inequality in space-time?
With respect to any drawing and the scales of particular axes, I have noticed the distance between unit marks is not the same between axes.
So if you were to read off the length of PR using its scale you will find the number is greater than the number you get by reading the length of PQ using its scale.
That much I have noticed, but I'm still working it out.
The following appears to represent the situation, and it's profound to me how it indicates time and space measurements remain consistent (no contradictions) despite the different realities of people in space; the distance and time to a distant star gets shorter as you accelerate towards it etc.
Draw a hyperbolic curve where x^2 - (ct)^2 = say -1.
This curve contains all the points where the space-time interval equals -1 unit from the origin in the upper cone.
The curve cuts the ct axis at ct=1. Let's say the interval on the page is 1 cm from 0 to 1 on the ct axis.
The diagonal point (9.949874371066, 10) is also on the curve. The distance from the origin to this point is about 14.1 cm, but it too represents only -1 unit of space-time!
The distance between each unit tick-mark on the first ray from the origin (someone's ct axis) is 1 cm, and the distance between each tick-mark on the second ray from the origin is 14.1 cm (someone else's ct axis). I haven't checked whether the gradient diagonal to the ct axis is constant like it is along the ct axis i.e. whether it stays 14.1 cm.
If one projects (9.949874371066, 10) onto the ct axis one gets a length of 10 cm, 4.1 cm less than the 14.1 cm of the diagonal, but it represents a space-time interval of -10 units versus only -1 unit represented by the longer diagonal.
I originally wrote the previous comment using a space-time interval of 1, but had to convert my 1's to -1's to be consistent with professor Das' sign convention (I actually had my hyperbolic function back to front). Think of the -1's in absolute value terms where it helps comprehension.
A: Thank You very much yes I enjoy them.
B : However, I have to watch them again very carefully.
C: In my understanding at this moment I do not see spacetime. I see something else.
Sir , you have written tan(a+b) formula wrong 41:38
If so plss help me
it is tan hyperbolic not tan
Sir you please keep on teaching on green board it looks cool. Sir you know even iam in class 11 i can understand this theory at some extent by your teaching.
This why twin have different characters
when v=c the angle should be 45 , but tanh 45 is not 1
I'm afraid you'll have to look up how the hyperbolic angle differs from degrees or radians.
The hyperbolic angle of a light ray is not 45.
Mathematicians often speak of the hyperbolic angle, which is double the area between the ct axis, the hyperbola and the ray through 0P and can go to infinity. The angle in radians can be calculated by arctan( 0Q/0R). In other words: tan(Phi(in radians)) = v/c = tanh(Phi(in area beneath the hyperbola)).
Your formula tanh phi = beta is incorrect. The correct formula is tan phi= beta because the ctprime axis is x=beta ct in rest frame and tan phi =x/ct =beta.
My also favourite is physics
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