5 Main Differences b/w Euclidean GEOMETRY & Minkowski SPACETIME | Hyperbolic Rotations
ฝัง
- เผยแพร่เมื่อ 8 ก.ค. 2024
- To perform calculations in SpaceTime, we need to understand that the properties of SpaceTime are different from Euclidean space. Here I discuss 5 basic differences between them
00:00 Introduction
02:15 Pythagoras Theorem
12:00 Null vector & Light cones
15:59 Circles & Hyperbolas
20:14 Projections of a Vector
27:00 Rotations & Lorentz Transformations
34:00 LT as Hyperbolic rotations of spacetime
Once you understand these simple differences between performing calculations in Euclidean space and Minkowski Space-time, you will be ready to show how various consequences of Special relativity, like Time dilation, length contraction, simultaneous events, Doppler shift, Velocity additions etc can be simply demonstrated from space time diagrams.
Join my Telegram Channel ► t.me/FortheLoveofPhysicsYT
#SpecialTheoryofRelativity #STR
𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬
Your financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness
Support in Patreon ❤️❤️❤️ / dibyajyotidas
Donate in Paypal 🔥🔥🔥 paypal.me/FortheLoveofPhysics
JOIN as a member in TH-cam 😇😇😇
/ @fortheloveofphysics
𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬
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, ...
Four Vectors in Relativity ► th-cam.com/video/PulFmdtzmAU/w-d-xo.html
Someone has mastered the art of making thumbnails
Q😊😊
It is criminal how underrated your channel is, by far the most knowledgeable in all things special relativity
Thanks so much, these videos on Minkowski space are epic!
you are a legendary man. May god blesss you
Knowledge matters. I really appreciate your work while my professors are busy in their research works. They don't have time for teaching for which they are getting paid.
These videos are the best
And this proffesor too
Finding This channel is ONE of the BEST THING that has happened to ME by the end of this YEAR 2021.
Though I am an ELECTRONICS & COMMUNICATION ENGINEER, I don't know why listening to Your Lecture I feel joyous to know these beautiful physics .
SIR You're really making a difference by putting up such brilliant content.
because he is teaching "FOR THE LOVE OF PHYSICS"😍
sir i hope you keep going... you are simply the best.. i cannot express how much you made these concepts easier to understand... seriously you are just amazing. many thanks!
One of the best on internet videos about this theorem. Congratulations
shame that its all based on the nonsense theory that light speed is always c. You know you have rubbish when things start to get weird.
Thanks! Please keep making such conceptual and beautiful videos. Maybe more on Hilbert Space and quantum mechanics.
Thank you, sir, for this exemplary video comparing the mathematics of Euclidean and Minkowski geometry. I am especially grateful for your explanation about the negative sign in front of the temporal term. I have searched several textbooks and educational videos for an explanation to this, but none of them ever explain it. The way you explain it gives a certain intuition into the mathematics of spacetime that would otherwise missing from many other sources.
This is like gold. Amazing.
I am really really thankful to you for what you are doing.
This channel is carrying me through my modern physics class
Great lecture
Cristal clear explanation
Beautiful!
Probably the best channel for Minkowski Space time 💯👍
Fantastic class Sir.....
🎉 spectacular lecture
Crystal Clear!! Appreciate your explanation☺☺
This is so good!
Your Lectures are Really Very Helpful For Me To Demonstrate The Actual Image Of Science And I Am Really Thankful To You.
thank you 🌷
Thank you for your contributions in the education of humanity.
Mind blowing watching this video is relativity no more mystery. Thanks🙏❤
Well done ! Great job. As always.
Just Brilliant !!!😶🌫🤯
Respect sir👏🙏
Amazing
Really nice lectures!
Thanks!
Masterpiece!
fantastic sir
Enjoyable explanation
Sir you always bring videos of the best quality... Thank You Sir
Sir your teaching style is very practical, thankyou sir🙏🙏🙏🙏🙏
Very good exaplanation
Thanks
Wow very nicely explained
Yes Sir!
Thank you very much Sir😍🥰
Genius is back 👏👏👏
Nice lecture thank you so much
Awesome video
thank you very much.....🙏🙏🙏
If possible try to make video lectures on bsc mechanics (kleppner book ).
Very very good🙏🙏
Thank you so much Sir 👌✨🙏🙏❤️😊
Thank you very much for a very clear and informative lecture.
How to explain nonsense and make it seem like its real. What is the difference between Euclidean GEOMETRY & Minkowski SPACETIME? Nothing, they are both IMAGINERY and neither can have the slightest effects on reality. Einstein's theories are irrational gibberish.
Sir really in love of ...
Sir
U r providing some good stuff.
lots of love sir 💖💖💖💖💖💖
from Nepal 🇳🇵
Nicee😘😘
Great video. I like your shirt, too.
Sir will you make video on general relativity?
Do hilbert space it Will be a great video
Thanks a lot Sir! Can you make lectures on General Relativity? It seems tough to me.
Tomorrow is my exam on str, thanks a lot dada
Sir please upload video on Quantum Mechanics.
Well explained ....to the point and clear...great job! If I may add a few questions ...
Why is the time axis perpendicular to the space axis? Why do we draw the time axis vertically upwards and space axis horizontal?
Ya I think it should have been clearly mentioned... We should not visualise the axes to be perpendicular to each other.. In fact the axes keep on changing the orientations according to the observer's velocity so as to maintain the invariance of space time under Lorentz transformation (basically keep light speed constant)
In general physices lectures on utube two types
1) 11th and 12th level (u wont get taste of physics . They are oversimplified to some extent atleast.
2) pg level physics lectures by nptel.they are difficult to understand by engineers and science students(by average students.they are big in number)
So bsc level physics lectures are most useful for bsc and engineering students.like berkely physics course books and kleppner mechanics books.
👏👏👏👏
Einstein field equations explain
Very blessed to find you wish
Wish to work with u sir
Are you from Kashmir?
@@augijyotbali2131 @yes sir I m from Kashmir
@@bilalphysics4872 same! From Pulwama, and I'm about to be sophomore in highschool or(in 10th) , good to see fellow Kashmiris interested in understanding the universe :)
@@augijyotbali2131 @ currently where do u live
@@bilalphysics4872 Pulwama and you ?
Than what way hyperbolic geometry (functions- curves?) differ with Remanian geometry which is basis to describe mass enery effect causing curvature in spacetime according to general relativity ? Is there any link would you find?
smash that like button for that thumbnail
Can you explain Hilbert space ?
Can we have a diffrent "version" or projection, of Minkowski SPACETIME where hyperbolas are turned into circles so that we can more intuitively understand?
Is atomic nucleus dense enough to cause significant bending of the space-time?
Sir when will you upload your new video ?
Why do we have X and Ct? Axes?
X is space and T is time, but why don't we just use X and T? Why do we use X and CT?
How would the spacetime look if we instead of CT we choose just T for time?
We choose CT so that the worldline of a light photon is a line with slope 1. Thus light cones divide the space time region symmetrically, leading to ease of study. Also the spacetime interval contains "CT"
@@FortheLoveofPhysics Is there a diagram where we use t and not CT so that I can see the difference?
I wonder, is there a way to represent a Minkowski spacetime where null vectors are infact just points of zero lenth?
In a previous video about relativistic velocity, you claimed that this statement must be true: m1*u1 + m2*u2 = Mv; but you didnt explain it. Why should the momentum of the colloding particles be calculated based on the reference frames velocity? They might have velocity in addtion to the reference frame, which would add to the total momentum.
Causation
Understanding relativity theory mathematical tools are necessary. Armed
We talk about c (speed of light) to be invariant, under the second postulate of Einstein’s theory of relativity. But we know that there is no pure vacuum in space time, neither an observable stable antimatter in the stable universe. In such cases, doesn’t Minkowzkie’s space time interval, fail to inform us about space time ? Because, speed of light decreases with respect to increase in density and density increases wrt. decrease in the distance between a point and the gravitational center of a collective mass ? How do we factor in density of space (which is not constant throughout space) in Minkowzkie’s diagrams ? How do we factor in speed of light in different densities wrt. space time ? How does, ionospheric densities factor in, while deciding geostationary orbits of satellites ? How do GPS and GLONASS factor in space time dilation ?
That's why we should stop talking about the "speed of light" and talk about C as a "naked" constant and invariant number.
Everything in the Universe moves at the speed of C in SPACETIME. Regardless of the pressense of a vacuum. If you "combine" your speed in time with your speed in space (from either yours or someone else's perspective) using the Lorenz factor γ, then you should always find, that their combination gives you the number C.
So everything in the Universe travels at the speed of C in spacetime. (again, not space, not time - C in spacetime)
But even if you have light traveling inside lets say... A glass of water - light is still traveling inside the water with the speed of C. The only difference now is, that the distance is bigger for light to travel from the one point of the glass to the other inside the bottle - because of the pressense of water... The thickness of the water makes light (traveling at C in space) to take a longer time to make that distance because it has to also move through the thickness of the water that before wasn't pressent in an "empty" bottle.
Light travels at C REGARDLESS of vaccum.
For example...
I travel at 50 km/h with my car... If you put me inside a bigger road, I will take longer to complete it, but my speed will remain the same...
Sir please hindi me bhi samjhaya kijiye 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Good.....where your from bro......
For me its not clear, why sinus hyperbolicus appears, there was no explanation given. Maybe I miss something ?
When will there be a conclusion in Science and no other hypothesis will be left?
you didn't say what your previous lecture is
Physics
Eu entendo os gráficos mas o audio ?????????????????
Way you do not make the comparison between the Minkowski 's geometry with the Riemann's geometry with are both of them children of Einstein work and they are completely Minkowski vs Riemann. I have at list 3 huge differences which made the mathematician and friend of Einstein Mr. De Sitter to pick up his hands and to said that space and time is impossible to work together a fabric and he was forced to break it when he worked for the Universe of Einstein-De Sitter. I am surprised that you don't know it. Indus are great mathematicians.
The problem is that time is not a scalar. Time is a compact dimension. If time was scalar one would be able to move in time. We don't. We like to believe we are mooching forward in time at c but the universe is spinning at c and time is a compact dimension one single Planck second in size.
If time had accrual duration we would be able to move in it similar to our movement in space.
Minkowski spacetime was a stop gap.
But we do move thru time!
@@jkucharewicz try to go to the past
We are trapped in an eternal present.
Consider a ball, now trace a path on that ball and let me know when you've grabbed all the possible paths on that ball. Compactified dimensions are like that
@@KaliFissure we are too big with current technology but small elementary particles (the field disturbances) can move and do move in any space time Minkowski coordinates
@@jkucharewiczlet me know when it happens
Hinduísmo e Panteísmo ?
You are great but pleas try to speak in hindi,so that u can reach out to large mass of people and they can understand u .
I think you are a bengoli u can speak tuta - futa Hindi
7:54 That observer seems to have a little pee pee
Amazing