Excellent. Best description yet on Einstein’s Field Equations. Now we need the video on tensors!

Parth G: A physics channel trying to look like an asmr channel that's trying to look like a physics channel.

11:43 " 8 hopefully you are familiar with " This got me laughing 😅

I am a retired medical physicist and my recall of Special/General relativity learned in undergraduate courses has become rather warped over time (pun intended). Moreover, my lifetime of physics experience causes me to now "dig deeper" and seek intuitive/graphical understanding of these fields (no pun intended). I deplore numerous relativity textbooks that "hide" behind equations and the algebraic gymnastics of finding their solutions, without intuitive interpretation of the main terms and their units. This is where your videos are unique by providing clear intuitive interpretations and illustrations. Thank you for helping so many viewers understand relativity conceptually. Richard Feynman would be proud of your teaching content and style! 🤓

What an amazing teacher. I have a basic mathematical understanding yet I can follow everything he says. What a talent.

Aint no way I understood this video having no prior knowledge about it, best explanation I’ve seen

This is fantastic! I've subscribed to a lot of physics channels, but you have achieved the following: 1) Seized the bull by the horns by the explaining the equations themselves; 2) Explained them in a way so intuitively, precisely and compactly that even an amateur like me feels he understands them (instead of just getting eyestrain, as used to be the case).

Thank you I was the one to suggest this I remember , and you replied you would like to do it .

I am a retired civil engineer who is fascinated by cosmology and quantum mechanics. I am devouring these topics with a passion hitherto unseen by man! 😄 Thank you, Mr. G.

Great video. Just a quick note that it looks like you forgot to increment your Mu index in the matrix / tensor description at 6:30 and 6:50. They are all showing first index = 0, but as an example your pressure terms should be (1,1), (2.2), and (3,3).

I like your pace and the fact that all of what you say is information, and closely related to what you intend to explain. Much, much appreciated!! Congratulations!

i am literally watching ur vids like 5hrs straight just because you tell something that is in another vid im instantly switching to it great work dude

Simply THE BEST explanation for us "mortals" !!! Congratulations !!!!

the way the light reflects off your glasses always makes it look like you have pink eye shadow on. its looks good.

wow, you are so genius and well prepared i wish that this video should be in billions seriously i lov it

Thanks for the explanation. Physics is my passion, this equation is beautiful linking geometry to energy.

Your video explaining it in much much simpler way than others

Thank you thank you. I’ve been watching a few of these concerning the field equations but yours is the absolutely best explained.

It is so exciting to find your videos. I'm a fan after only watching a couple. I love physics especially Quantum mechanics and Relativity, but sadly I never formally studied it or maths because of various complexities in my personal history. I have a question that I've been posing to a variety of great communicators of physics, especially on relativity. Your title suggested you would answer it but you didn't. So far no one else has been able to answer it. I loved the way you explained the equations of General Relativity and it was a great help and it confirmed that it doesn't answer my question even though in your explanation you use words that suggest you are answering my question. You say these equations tell us "how mass bends space-time." But they don't. They tell us that mass causes space-time to curve or bend. Brilliant! They help us MEASURE the effect of Mass on space-time very accurately. Brilliant! But not what CAUSES the curvature that would be the true HOW of the curving effect. It is as if you were saying that measuring the current in amps tells us what electricity is and how it works. Our capacity for measuring current is very accurate, it tells us a lot that is useful and important, but it's not quantum mechanics which helps us understand electricity (and its related topics of electromagnetism and matter) in profound ways. It seems to me if we truly practically understood the mechanism for how matter interacts with space-time, we'd get closer to the much sought so-called "theory of everything". In your video, on the basic postulates of quantum mechanics, you talked about the "kinetic theory of gases". You said that if you change the size of the enclosing space of gas then the standard theory falls over. We know that a gas under pressure requires a different explanation as it is liquified and the temperature changes. Is this analogous to what happens in a black hole? More importantly, is there a way of talking about how space-time works inside matter, whether talking about a planet or a lump of metal? How do state changes in matter affect space-time? Since there is a change in the space (at least) occupied by matter in different states. Further different types of matter can occupy the same size space but have different effects, such as weight, on gravity, therefore space-time.

I am currently reading life story of Einstein by Walter Isaacson ( brilliant book by the way) and came across the Einstein Equation of general relativity. I wanted to understand the terms in the equation and what they represented physically. Many thanks for a very clear and concise explanation.

I've been on a GR binge lately, and I'm so happy you never used the John Archibald Wheeler quote Yes, as a matter of fact I DO know that spacetime tells matter how to move, and matter spacetime how to curve. I think it sunk in somewhere around the eightieth time I heard it.

Parth G condenses maximum information in minimal time. So d(inf)/dt is close to an extremum! Thank you, Parth.

Superb bro. I am a UG student, it is easy to assist my physics love.

Hey parth... also please explain 1.Why we are adding cosmological constant 2. Why we divide with C^4 4. Why C^4 4. Why there is 8pi.. Explain all these stuffs

I've been waiting for this one from a long time.... love your videos❤️❤️

Thank you very much ! Remembering that tensors are here 4X4 matrices quiet helped to understand how these 3 little terms are supposed to describe the universe! Awesome videos as always!

There's a typo (or hand-o) in the stress-energy tensor T_mu_nu at about 6:20. It is mis-indexed, with the T_00 entry copied down the entire first column, rather than having T_00, T_10, T_20, T_30 there. See the generic M at about 3:00 for correct labeling.

This video was the one I wanted, its just awweessoomme.... As described by your fans, I also think you should make a video on dirac eqn😅😅

Gravity changes every tangent space of space-time, leaving space-time unaltered. Add up the changes of every tangent space, and one can say a path is curved due to the tangent space. It may be a detail, but it exists in every metric tensor used in Einstein's field equations: τ² = t² - (x²+y²+z²)/c² is NOT the same as dτ² = dt² - (dx²+dy²+dz²)/c² - it is the second one that is used in GR, and the field equations are only relevant to tangent spaces of space-time. Even for a technical audience, this detail is respected in equations but not in our verbal descriptions of what is happening. People do not wish to consistently pre-pend "tangent space of" to space-time. If you have consistently said the "tangent space of space-time" hundreds of times, then all the action of gravity does not happen to space-time, but the tangent space of space-time. That allows space-time to be quite dull - the place where-when stuff is to a particular observer - and the activity we call gravity happens in the tangent space.

Need tensor videos!!!

Just how perfect an explanation can be, I used your video to explain all this to my dad who doesn't even know english and still got it Most of it 😅

This fantastic concept i.have since my childhood,this concept visualises a future of reaching to heavenly space distances in smaller affordable time. Well and good wishes to the partaker in this direction.

excellent explanation whenever i see your video time goes faster i feel it just starting,thank you for sharing this type of knowledge

Awesome! Thank you for this simple and clear explanation of the Einstein's Field Equations👍

Hi and thank you a lot for these great videos. - I have a simple question about this one : Shouldn't be minus before the constant of expansion in the general equation ? Because in principle the expansion affects the curvature, isn't it ? - I saw the great videos about Maxwell equations and I hope you can complete the series with one about the fourth equation, please ! Thanks again

Gifted teacher. Using different colors in slides adds greatly to clarity

Thank you young man, for this lucid description! Not that u've made me a GR expert 😁, but now I know how the structure of GR, though complex, leads to varied derivations - black hole, big bang, gravitational warp ... It is all to do with different values of the tensors involved. Thanks again.

most simplified description......thank you

Nice work Parth, explained this most difficult concept in a quite simplicistic way, keep it up bro. 👍

These videos are so so so helpful! Kudos to your efforts man👍

You explain this in a way that I can kind of understand. That's a feat in itself! Good man.

Really you explained field equation so simply and so beautifully.thankyou very much sir.

Ya know. I'm a physics graduate as well, but my job isn't related to physics at all. Making an educational channel like yours that doesn't water down concepts into obtuse examples, and instead delves into the math and equations, would be awesome! If I ever start this channel, I will send you an email thanking you for being an inspiration!

10:44 nice, for some reason this is the first time that clicked for me. All of space expands so things further away from any point in space will appear to move away faster from the perspective of that point.

Absolutely earned a subscription brother. Great work !!! Please keep up!! Really appreciate the intuitive simpler way of explanation of complex topics

Outstanding....Easy explanation.... Looking for more....Suscribed just now...

your style of teaching is very unique and educational. please keep making videos and don't give up. you deserve a million followers and it takes time to get there. but your styles guarantees it.

You are a very very good teacher. Thank you!

Please, make more videos on this! I enjoyed it and would like to learn the actual details.

Hey Parth, good to see you again. I have been studying GR for the past few months but I want to have a more clear picture of tensors. So any book or video you can recommend. P.S. I am in high school, so please take that into consideration while mentioning the resources.

Thank you for the explanation. It is a very helpful video to understand Einstein equation.

Thank you so so much! Your videos feed curiosity in an amazing and relaxing way! I love your calm energy - it definitely helps the nerdy learning :))))

Such a simple yet effective explanation! Please keep making these videos!

Thanks for giving that information brother Bhai maje aagye 😇 I want more , I am hungry

Thank you - that was really clearly explained. I always felt short changed by my BSc in Astrophysics as we never dealt with GR properly using tensors, just simplified using Gaussian curvature. Would you recommend any textbooks?

Quite a good video. Different from most I've seen. Well done!

Just wonderful explaination. Thank You !

Excellent explanation... I had tried a lot of videos before this and this one really made me understand the concept.. 👏👏

Thanks, because I was looking for it.

Always ready for your video

You are so good at what you are doing!

A very great explanation for a layman like my self. Colloquially put!!

Paarrthhhhh this is amazing! I am trying to study for my GR module and could do with many more videos on it Tensors, Christoffel Symbols, basically Tensor calculus Hope you can make these!! Love your videos! 😁

I dunno why I always read your name as Parle G , ( a biscuit brand ) *;)*

Brilliant description !!!!

Great video. It would be very interesting if you would make some approximations (low mass, low speeds) and show how Einstein's equation collapses to Newtons gravity equation.

Very good Parth. Excellent explanation

Nice work Explain i hav been waiting for you to introduce me to these equation

Wow❣️😻 Best explaination i ever seen 🔥💯

The description was perfect, I always wanted to know about the mathematics behind the field equations but can you explain tensors in detail, I really want to know about them. Also, subscribed first then watched the video😁😁.

Awesome video man❤ really like how you Explane this

Ref Tensors, no no no, you clearly explained it to me, nice 1 Parth G, so glad the public have recognised your skillset.

Thankyou so much for such amazing explaination ❤️

Superb Explanation.. Thanks Parth

The best video from Parth 😍😍❤️❤️❤️

Genius ... thanks Parth. excellent and very clear..******

YOU ARE SUCH A GREAT TEACHER!!! EXCELLENT!!!💯

Great video!

Thanks for the vid - very helpful explanation of some of the complex detail underpinning a more generally accessible conceptual framework.

Half way through this video and I'm already wishing it was 90 minutes longer !

Man this is excellence keep up the good work please continue uploading

best tutor ever!!!!!!

Great overview. Motivating me to dig deepr: thanks a lot :)

This is a genuinely fantastic explanation. Thank you for sharing!!

thanks for the video. great explanation.

I'm always impressed of how well you explain anything!

Congratulations... Very clear explanations...

You earned a new subscriber

Excellent description. Crystal clear....

@Parth I'm familiar with the expansion of these equations into the partial differential equations but I'm not sure about the notion of space-time. Based on lectures by Susskind at Stanford i perceive space-time as a coordinate transformation rather than an object, as most main stream content depicts. It is a way of getting your ant to move through a curve by simply saying move forward along an axis, however the axis is itself curved. The notion that space-time is an object like the rubber sheet the massive object sits on is misleading, and implies that space and time are objects that are changing due to the presence of matter and energy.

This was a great but easy explanation of the Einstein equations! Thank you very much!

U deserve a lot more audience. I believe the channel will blow up soon

You are a great teacher

Excellent Video Brother God Bless you....

Great experience waching it...

Excellent explanation

Awesome video, Thanks!

done with two semesters in bs phy, never been this intrigued.

It always confuses me to see spacetime as flat sheet. Some videos on it would be great to see some day. This concept just doesn’t sink in. Love matrix explanations, thankyou

Nice explanation Parth.. I really like theory of relativity