timestamps: 0:00 Intro 1:47 Mention of Sean Carroll tour 2:47 Notes start 3:54 Special relativity 5:25 Tensors 5:55 Equivalence Principle 7:30 Curvature 9:10 Schwarzschild solution 11:30 Patron Cats of the Day
Tibees hi I am a. iitjee aspirant from India its my request to you to please review the book CONCEPTS. OF PHYSICS - BY HC VERMA he is a professor from iit kanpur thanks
"When I meet God, I am going to ask him two questions: Why relativity? And why turbulence? I really believe he will have an answer for the first." - Werner Heisenberg I have taken the courses in both subjects and studied them at length so I can say that although Physics is no less than magic itself and turbulence has to be it's greatest trick. We may witness the incredible advancements in quantum mechanics in our lifetimes but we may never see the true solution of turbulence. There's just no competition against the theory of chaos.
Relativity is an optimisation for a simulation of a big universe. Without relativity, the collision detection algorithm (for all moving particules) would eat all the processing power. With relativity, since the longitudinal space dimension is compressed, the volume swiped by the particules becomes much smaller, and therefore a lot less collision tests have to be done. Of course, the consequence being the relativity of time adds a complication, but at least, it doesn't penalise the particules moving slower in the simulation. As for turbulence, they're the friction of fluids. Let's say that without them, it would be "funny"...
Mathematicians: "A topological space where every point has an open neighbourhood that can be homeomorphically mapped to an open set in an Euclidean space." Physicians: "A possibly curved space which, in small enough regions (infinitesimal, really), looks like flat space." Lol 😂😂
That is the definition of a manifold that general relativity textbooks use. But if you're writing a short document meant to convey intuitions why go into those technicalities? Who in your target audience does that help?
I did my bachelor thesis in semi-Riemannian geometry and how it models GR. Fascinating! When you get to compute the Riemann tensor coefficients and the Christoffel symbols, you do see why it's not for the faint of heart.
Hi Tibees. You've done a good job of explaining this topic at a basic level. No excessive off-putting formality and enough insight to make me want to look into it further. The mark of a good teacher.
I like these little clips, I may not head out and start consuming every text book I come across to further my understanding of this but I feel like I leave with a little tiny piece of knowledge which usually turns into an idea that always seems to connect to something else...so thanks Toby
Been trying to understand a bit of GR for a number of years now as a part of my hobby/obsession with Astrophysics. Susskind is great but it's all math. Currently digging in to tensors, again, getting further this time. My white board is currently full of vector definitions, so this was timely and enjoyable, thanks.
I can't quantify the degree of admiration I have for your efforts to explain mathematics and physics to the many people who are less familiar with these incredibly important subjects. I believe one of the primary obstacles for most people as they try and comprehend more abstract concepts is their limited ability to conceptualize beyond physical reality. Visualizing 3 dimensional space isn't too difficult, but most are challenged as you try and explain the fourth dimension, for example. I think it's a iterative process that begins with a good math skills, and right there you've lost the vast majority.
"Exploring Black Holes " is a great book for beginners. It just uses basuc calculus to develop GR.. Once your appetite is whetted , Hartle take you thru a breezy introduction in his book Gravity. By third or 4th year , once your mathematical abilities are up to the mark - the ability to manipulate tensors - you can start reading more serious books starting with Sean carrols books
YES!!!! FINALLY SOMEBODY SAID IT!!! It's not waves, it's not quantum and it's not thermo. General relativity is the single hardest and most un-intuitive topic I had to learn
GR was my first big kid physics class (well, after my astrophysics dynamics course) and it was probably my favorite. I suck at tensor math but it was really cool to learn about and now I wanna go over all the stuff I learned because of this video.
Well i liked physics till i was in 10th grade but being an indian 11th grade jee aspirant made me hate it its just mugging up😑😑😑 wirting and memorizing not even giving time to think something new ... Ur vids help me to keep my interest
I would highly recommend A General Relativity Workbook by Thomas A. Moore for anyone interested in trying their hand at GR! Love your videos as always :)
I'm Douglas Bahati aged 17 and I'm very good in General relativity ,special relativity and all bizzare laws of quantum mechanics and also genius in computer science and quantum computation
People think quantum mechanics is the hardest physics topic. Even I thought that, but after taking both courses, I found that the mathematics and concepts of general relativity and cosmology are much more difficult.
At 6:01 you say "at some situations you won't be able to make the difference". Isn't it supposed to be "at all situations" (which is what makes it the equivalence principle)?
Your locked objects in a safe can be removed without using any dimensional manipulation or affecting the safe. Neutrinos have no electric or magnetic field so that they pass through the empty space between "particles" . If the objects in the safe had it's electric and magnetic fields disabled it too will pass right through the safe like a ghost but it still has form because it's atomic bonds hold it together.
Honestly, I like the coordinate-independent view of differential geometry that mathematicians use. It gives a much clearer understanding of curved space/spacetime. Unfortunately, it requires a lot of formalism that doesn't have much to do with physics, so it's understandable why general relativity is taught the way it is.
Perhaps there's a better formalism but since the geometric description is used pretty much everywhere in advanced physics, I'd say it has something to do with physics if we think about it in terms of descriptions.
@@RalphDratman, it can be really difficult to distinguish the difference between "zee" and "cee", and replicating that difference can be almost impossible. Therefore I'll continue to say "zed", so people can understand what I mean.
@@TheGlassgubben That seems logical to me for international cooperation, where various ways of speaking English are a significant factor in understanding. In the US I have never seen any confusion of that nature, perhaps because our dialect of English makes "zee" and "cee" quite distinct. For myself I am perfectly happy with either pronunciation.
@@RalphDratman, yes, through American media it's quite obvious that you have no issues with misunderstandings in this regard. The reasons for my difficulties is probably the lack of a difference between the "s/c"-sound and "z"-sound in my native language.
This was very enjoyable. I love your pacing. It's followable for the topic (though I will add all I have had a Modern Physics class only before this). Nicely done.
I have put this on save to watch later. I have an book written by Albert Einstein for graduates on this subject and It is very readable. Look forward to Toby on this topic later.
Me looking at the title: "Idk, I don't think any area of physics is particularly difficult, you just have to practice." Tibee: "General Relativity" Me: "Ah yeah, fair enough." I haven't taken a proper GR class, and probably won't since I'm into experimental physics. But I took Differential Geometry, and that was easily the least I've understood from any class I've taken.
Toby : Nice job ! Don't let folks get you down . If anyone has an understanding in logic and math they should be able to follow your e-mail. Great job on black holes and quantum physics comments. Might want to re-suggest Tyson's books as well as Kaku's and Malik's for basic understandings of the universe,cosmology, and hyper-space.
I'm not sure if It's appropiate to make a question here, that said... Once I read that after GR, gravity is not a force anymore but a space curvature so that you now can't say that an object is "attracted" by gravitation because the object is simply following the space curvature. Are those affirmations correct?
You explain everything so clearly and nicely! It’s so easy to follow and understand, even for these hard topics. Maybe you could post more videos to follow along it more specific like calculus? Sometimes Professors don’t have the time or patience to teach this slowly and clearly. Anyways, just an idea:)
why is it considered impossible to create a magnetic bubble in a vacuum, if an infinite number of magnetic sources are allowed ? (magnetic bubble = a region in vacuo where the magnetic intensity inside the region is greater than the magnetic intensity outside the region.) this youtube channel is the best, your delivery is perfect. you make me into a mind reader. you would earn a good living as a hypnotist, erasing mental blocks from students minds. thanks
- Oh... - They've looked at electromagnetism in GR - Now how about revamping QM with determinism (maybe pilot wave) and analyze the informational nature of matter and spacetime. - That's a little like reaching out to each other, no? Maybe I'll just goof around after that
A few years back I binge-watched Susskind's lectures and almost understood quite a lot, but I think I'd have to repeat the whole thing again now as I seem to have forgotten most of it ;-)
Here's my recommendation: Start by reading these books in this order 1) open.umn.edu/opentextbooks/textbooks/book-of-proof 2) www.goodreads.com/en/book/show/8295305-a-book-of-abstract-algebra 3) www.goodreads.com/book/show/264543.Abstract_Algebra 4) www.goodreads.com/book/show/116418.Topology 5) www.goodreads.com/book/show/208761.Introduction_to_Topology_and_Modern_Analysis Then watch these lectures ruclips.net/video/7G4SqIboeig/видео.html
i'd go with topological quantum field theory as the hardest, also since gr is teached to bachelor students of physics and math (sometimes) but tqft is like only for masters or phd people
"Hard" is a Theoretical Limit type topic? In which case, the "No Boundaries" hypothesis applies and the natural visuals of perceptions is inverted, "hard" is where we are, floating in software.., because you can go against the Observable Eternity-now Interval Conception Superposition-point Singularity Perspective Principle and construct a reverse cycle mathematical proof of concept, Disproof of hard fact, simultaneously here-now-forever. In support of the two great Physics Teachers mentioned, Prof Susskind's style is to disassemble the hard facts and inspect the properties of the components, a style that is appropriate to "learning by doing", and because hard facts approach significant limits of understanding +/-, then it's possible to imagine merging those probability abstractions into the Big Picture, but without the kind of realization we have come to believe is Mathematical, and believe to be self-consistent truth. So if all Einsteinian style Relativity Theory is devised mathematical from the observation of EM spectrum data, and WYSIWYG here-now-forever phenomenonological localization of hard facts, it's possible to say how those facts are real in their own terms, not so much in Pure Dynamic Mathematics of "Something in Nothing", Actuality of "mathematical" Time Duration Timing Modulation Mechanism. The actual truth/nature of Time as sync-duration connectivity logarithmicly positioned Superspin-spiral, wave-package resonance integration looks like the EM picture of an explosion, but actually self-defines in Dynamic QM Superposition-pointed Singularity holographicly/projection-drawing, of apparently purely logarithmic mathematical origin that in Math-Phys-Chem and Geometrical proportioning-positioning is composed of sync-duration Time. Consequently, we rely on empirical beliefs modified by Math-Physics (QM-TIMESPACE) based continuous observational information refinement, which is termed "Theoretical", due to the innate uncertainty of e-Pi-i omnidirectional-dimensional, logarithmic interference positioning, factual inputs. Prof Suskind supplies the refined facts, Prof Carroll paints the Big Picture in Theoretical effectiveness. "No one is right if everyone is wrong" in degree, because of innate uncertainty in continuous cause-effect creation, circulation pulsed re-evolution, no matter how precise Numerical Mathematics can pinpoint phenomenonological localization, the mechanism of continuous cause-effect positioning is inherently metastable. It's hard to believe anything at all under the circumstances, and makes Cultural Evolution propositional, ie Political, and reliant on trust in forward thinking. WYSIWYG.
What would be math prerequisites to prepare for tensors? I understood the Susskind parts about metrics but when the partial derivatives get all mashed together on the board I get so lost.
schwarzschild is a composite word but the words are schwarz-schild so its NOT pronounced like "child" in the end but more like "chilled", maybe look it up idk. Love your videos!
This was so interesting! You should make more videos about GR and just working through some problems to show the math involved. I would be very interested in seeing that.
![Blox Fruits Dragon Rework Update [Full Stream]](http://i.ytimg.com/vi/EqDAp8udhm0/mqdefault.jpg)
timestamps:
0:00 Intro
1:47 Mention of Sean Carroll tour
2:47 Notes start
3:54 Special relativity
5:25 Tensors
5:55 Equivalence Principle
7:30 Curvature
9:10 Schwarzschild solution
11:30 Patron Cats of the Day
Tibees hi I am a. iitjee aspirant from India its my request to you to please review the book CONCEPTS. OF PHYSICS - BY HC VERMA he is a professor from iit kanpur thanks
Why aren't your videos monetised?
All the way from New Jersey i love your videos
Hi
it already has 42 likes how can I ruin that
I never understand what you're saying but I feel smart being here.
99% of the viewers including me.
me too
Hahaha
Me
🤗
Tibees is lowkey top 5 ASMR on RUclips without even trying, so effortless
:-)
Perfect description of her voice!
I actually fell asleep on her twice in one of her videos.
@@jamestrujillo5195 same lol
oh boi
And you have the advantage of being a Tensor Boi!
Hehe all the physics memers crowding onto this lecture.
Daddy is that you
Physics is not my cup of tea but I love watching your videos. It makes me intrigued to learn physics.
Lea Aphrodite ☕️
Lea Aphrodite and yet you don’t lol
The hardest physics topic: why Tibees doesn't have a million subscribers
Cause that ain’t mad simple theoretically speaking
Coz it's not physics at first place
Well, she has 0.3 million so far. That's pretty good.
The hardest chemistry topic: how do i get tibees to go out with me
...because it's not the 'hardest'...how about Laplace transforms in control systems...Wanna Cry?
I gotta confess that the main reason I watch these videos is because her voice is really soothing.
Tbh the thumbnail is hilarious
It's scary
tbh - Tibees be honest.
I thought that was from a Pewdiepie's video when first saw it on my phone 😅
Was going for that melting-into-spacetime-chic look
Maybe it was tidal forces due to Toby being immersed in an intense gravitational field ...
I like that you always link the books or papers that you talk about. Thanks for that.
"When I meet God, I am going to ask him two questions: Why relativity? And why turbulence? I really believe he will have an answer for the first." - Werner Heisenberg
I have taken the courses in both subjects and studied them at length so I can say that although Physics is no less than magic itself and turbulence has to be it's greatest trick. We may witness the incredible advancements in quantum mechanics in our lifetimes but we may never see the true solution of turbulence. There's just no competition against the theory of chaos.
🤯🤯
Relativity is an optimisation for a simulation of a big universe. Without relativity, the collision detection algorithm (for all moving particules) would eat all the processing power. With relativity, since the longitudinal space dimension is compressed, the volume swiped by the particules becomes much smaller, and therefore a lot less collision tests have to be done. Of course, the consequence being the relativity of time adds a complication, but at least, it doesn't penalise the particules moving slower in the simulation.
As for turbulence, they're the friction of fluids. Let's say that without them, it would be "funny"...
@@informatimago Back with "The universe is a computer simulation" are we, I see
I believe he said 'Quantum Mechanics' instead of 'Relativity'
You mean classical fluid turbulence?
Mathematicians: "A topological space where every point has an open neighbourhood that can be homeomorphically mapped to an open set in an Euclidean space."
Physicians: "A possibly curved space which, in small enough regions (infinitesimal, really), looks like flat space."
Lol 😂😂
Lol I mean physicists not physicians 😂
@@xiaohuwang4173 Doctor Who?
@@xiaohuwang4173 and replace topological space by manifold
@@ChadLok Wrong, manifold is a topological space which satisfies conditions that he mentioned. He is absolutely right!
That is the definition of a manifold that general relativity textbooks use. But if you're writing a short document meant to convey intuitions why go into those technicalities? Who in your target audience does that help?
Well I'm here again...I really like these Russian language classes!
No it's spanish classes.
Latin
I'm as russian can say that it's not even stand close to russian classes,may be for foreigners though , but anyway too difficult
I did my bachelor thesis in semi-Riemannian geometry and how it models GR. Fascinating! When you get to compute the Riemann tensor coefficients and the Christoffel symbols, you do see why it's not for the faint of heart.
"What are we up to here?"
Good question
Hi Tibees. You've done a good job of explaining this topic at a basic level. No excessive off-putting formality and enough insight to make me want to look into it further. The mark of a good teacher.
i am taking a General relativity course right now and i can relate to these topics and i hope i don't regret it and thanks for the video
I am just a simple man, i came for the thumbnail but stayed because my brain froze.
Ah yes, General Relativity
*Flashbacks to 5 pages of tensor algebra homework*
7:26 “electromagentic”
(When you can’t comment on substance.)
I could listen to this woman's voice for hours (And I have).
I wish I could had a physics tutor like her in highschool. Her explaining is too good and that voice 😍
True
@@shenanigans4177 i just probably fall asleep during her lectures 😂
Ben Jeremiah ASMR😂
The thumbnail scarred me for life :D
i get very excited someone says “it’s very difficult to understand “.
Yeah, the harder the challenge the more excited I get
Same
The Physicist mindset.....😎😎😎
Btw me too
Same!!
Yeah,it was difficult but I enjoyed learning this so much
-Tensor equations appear
-My brain: *buffering*
I like these little clips, I may not head out and start consuming every text book I come across to further my understanding of this but I feel like I leave with a little tiny piece of knowledge which usually turns into an idea that always seems to connect to something else...so thanks Toby
I felt it when you said its the most difficult topic. Without doing calculations by yourself, you cant understand certain specific terms.
Been trying to understand a bit of GR for a number of years now as a part of my hobby/obsession with Astrophysics. Susskind is great but it's all math. Currently digging in to tensors, again, getting further this time. My white board is currently full of vector definitions, so this was timely and enjoyable, thanks.
How did it go?
I can't quantify the degree of admiration I have for your efforts to explain mathematics and physics to the many people who are less familiar with these incredibly important subjects. I believe one of the primary obstacles for most people as they try and comprehend more abstract concepts is their limited ability to conceptualize beyond physical reality. Visualizing 3 dimensional space isn't too difficult, but most are challenged as you try and explain the fourth dimension, for example. I think it's a iterative process that begins with a good math skills, and right there you've lost the vast majority.
Favourite TV Series??
Tibees: Taylor Series!
🤣
"Exploring Black Holes " is a great book for beginners. It just uses basuc calculus to develop GR..
Once your appetite is whetted , Hartle take you thru a breezy introduction in his book Gravity.
By third or 4th year , once your mathematical abilities are up to the mark - the ability to manipulate tensors - you can start reading more serious books starting with Sean carrols books
YES!!!! FINALLY SOMEBODY SAID IT!!! It's not waves, it's not quantum and it's not thermo. General relativity is the single hardest and most un-intuitive topic I had to learn
GR was my first big kid physics class (well, after my astrophysics dynamics course) and it was probably my favorite. I suck at tensor math but it was really cool to learn about and now I wanna go over all the stuff I learned because of this video.
Well i liked physics till i was in 10th grade but being an indian 11th grade jee aspirant made me hate it its just mugging up😑😑😑 wirting and memorizing not even giving time to think something new ...
Ur vids help me to keep my interest
I would highly recommend A General Relativity Workbook by Thomas A. Moore for anyone interested in trying their hand at GR! Love your videos as always :)
Don't see the PDF in the description
You are inspirational and your friend is right. Thankyou.
You're so soft spoken it is incredibly calming
Thank you soooo much for the links. Currently studying GR at uni and Sean Carroll's content is great. Much appreciated
I'm Douglas Bahati aged 17 and I'm very good in General relativity ,special relativity and all bizzare laws of quantum mechanics and also genius in computer science and quantum computation
Thanks for the introduction Toby.
I am looking forward to the video series Tibees does GR.
Maybe do a Tensors video
People think quantum mechanics is the hardest physics topic. Even I thought that, but after taking both courses, I found that the mathematics and concepts of general relativity and cosmology are much more difficult.
At 6:01 you say "at some situations you won't be able to make the difference". Isn't it supposed to be "at all situations" (which is what makes it the equivalence principle)?
Did Sean make it out here in Feb?
And if so, did he get stuck?
7:22 is very nice:
"In this [tensor] notation, Maxwell's equations shrink into two relations."
Not to scale at around "8:30" - was it necessery?
Your locked objects in a safe can be removed without using any dimensional manipulation or affecting the safe. Neutrinos have no electric or magnetic field so that they pass through the empty space between "particles" . If the objects in the safe had it's electric and magnetic fields disabled it too will pass right through the safe like a ghost but it still has form because it's atomic bonds hold it together.
For me.
The easiest was the concept of light.
But I am not good when it comes to vectors.
When we started with the special theory of relativity I was relieved that it wasn't so hard...then general relativity hit me.
I read Sean Carroll's Lectures too when I was studing Physics. Thanks a billion to spread the phsyics knowledge
Does the General Relativity or Curvature at 8:07 have anything to do with the Kaluza-Klein theory, Tibees (or anyone in the comments) 👀?
Honestly, I like the coordinate-independent view of differential geometry that mathematicians use. It gives a much clearer understanding of curved space/spacetime.
Unfortunately, it requires a lot of formalism that doesn't have much to do with physics, so it's understandable why general relativity is taught the way it is.
Perhaps there's a better formalism but since the geometric description is used pretty much everywhere in advanced physics, I'd say it has something to do with physics if we think about it in terms of descriptions.
Here's someone teaching GR the way it is meant to be taught
ruclips.net/video/7G4SqIboeig/видео.html
What is this "zee" thingy? I always thought Kiwis said "zed" like we Aussies!
We Americans usually say zee, but in science and math we have learned to tolerate zed as well. You can do likewise, I'm sure!
@@RalphDratman, it can be really difficult to distinguish the difference between "zee" and "cee", and replicating that difference can be almost impossible. Therefore I'll continue to say "zed", so people can understand what I mean.
@Corey H It's never been "zet"
@@TheGlassgubben That seems logical to me for international cooperation, where various ways of speaking English are a significant factor in understanding. In the US I have never seen any confusion of that nature, perhaps because our dialect of English makes "zee" and "cee" quite distinct. For myself I am perfectly happy with either pronunciation.
@@RalphDratman, yes, through American media it's quite obvious that you have no issues with misunderstandings in this regard. The reasons for my difficulties is probably the lack of a difference between the "s/c"-sound and "z"-sound in my native language.
We need to be able to comprehend and apply additional units of measurement in order to make sense of things. Time and space are not the real limit.
Im starting physics my last year of high school!! Thanks for the video!!!
This was very enjoyable. I love your pacing. It's followable for the topic (though I will add all I have had a Modern Physics class only before this). Nicely done.
I have put this on save to watch later. I have an book written by Albert Einstein for graduates on this subject and It is very readable. Look forward to Toby on this topic later.
It would be really funny if Tibees did an episode of Joy of Mathematics except it's in Gordon Ramsay's style for April fools.
Love that lecture from Lenny and Sean too!!
Carroll's book on Relativity is awesome...It is a nice mixture of Maths and Intution.
Toby is getting more deep fried every video.
She doesn't use sunscreen and she likes to live dangerously :(
also australia
Me looking at the title: "Idk, I don't think any area of physics is particularly difficult, you just have to practice."
Tibee: "General Relativity"
Me: "Ah yeah, fair enough."
I haven't taken a proper GR class, and probably won't since I'm into experimental physics. But I took Differential Geometry, and that was easily the least I've understood from any class I've taken.
I love the thumbnail! 😂
Toby : Nice job ! Don't let folks get you down . If anyone has an understanding in logic and math they should be able to follow your e-mail. Great job on black holes and quantum physics comments. Might want to re-suggest Tyson's books as well as Kaku's and Malik's for basic understandings of the universe,cosmology, and hyper-space.
I'm not sure if It's appropiate to make a question here, that said... Once I read that after GR, gravity is not a force anymore but a space curvature so that you now can't say that an object is "attracted" by gravitation because the object is simply following the space curvature. Are those affirmations correct?
Basically, yes.
The thumbnail needs loads of appreciation
This video fired my brain more than that pill I took at Glastonbury
You have the most amazing channel on youtube.
Please make a video on KVPY exam in India.
How to understand tensor mathematics? Please help me.
How can I contact you?
hmm yes, i understand the words she's saying, such as: the, and, I, and special.
The contrast of the funny thumbnail and pretty serioud intro is hilarious.
You explain everything so clearly and nicely! It’s so easy to follow and understand, even for these hard topics. Maybe you could post more videos to follow along it more specific like calculus?
Sometimes Professors don’t have the time or patience to teach this slowly and clearly.
Anyways, just an idea:)
Honestly I can't even think of a reason as to why this video would show up in my recommendations, but I stayed for that thumbnail, and I am glad I did
Without having studied this, is the space curvature formed from the geometry of the electromagnetic fields encountered ?
Why aren't the vectors numbered in subtext? Are they polynomials that function as vectors?
Could you present a Greek math exam?
Hope the Sean Caroll lectures go well Toby, look forward to next time.
and why is Perth not on Sean's tour ? : (
Bruce because Perth’s too far away
I would highly recommend checking out Dirac's book on GR! I found it to be quite illuminating.
Her voice is so soothing omg.
Your voice is very soothing
why is it considered impossible to create a magnetic bubble in a vacuum, if an infinite number of magnetic sources are allowed ? (magnetic bubble = a region in vacuo where the magnetic intensity inside the region is greater than the magnetic intensity outside the region.)
this youtube channel is the best, your delivery is perfect. you make me into a mind reader.
you would earn a good living as a hypnotist, erasing mental blocks from students minds.
thanks
- Oh...
- They've looked at electromagnetism in GR
- Now how about revamping QM with determinism (maybe pilot wave) and analyze the informational nature of matter and spacetime.
- That's a little like reaching out to each other, no?
Maybe I'll just goof around after that
A few years back I binge-watched Susskind's lectures and almost understood quite a lot, but I think I'd have to repeat the whole thing again now as I seem to have forgotten most of it ;-)
I do that. It does go in and stick, eventually. Honest. Keep watching
Here's my recommendation:
Start by reading these books in this order
1) open.umn.edu/opentextbooks/textbooks/book-of-proof
2) www.goodreads.com/en/book/show/8295305-a-book-of-abstract-algebra
3) www.goodreads.com/book/show/264543.Abstract_Algebra
4) www.goodreads.com/book/show/116418.Topology
5) www.goodreads.com/book/show/208761.Introduction_to_Topology_and_Modern_Analysis
Then watch these lectures
ruclips.net/video/7G4SqIboeig/видео.html
Good explanation
GR is actually very easy compared to QFT and such.
True!
Thanks Tibees!
i'd go with topological quantum field theory as the hardest, also since gr is teached to bachelor students of physics and math (sometimes) but tqft is like only for masters or phd people
"Hard" is a Theoretical Limit type topic? In which case, the "No Boundaries" hypothesis applies and the natural visuals of perceptions is inverted, "hard" is where we are, floating in software.., because you can go against the Observable Eternity-now Interval Conception Superposition-point Singularity Perspective Principle and construct a reverse cycle mathematical proof of concept, Disproof of hard fact, simultaneously here-now-forever.
In support of the two great Physics Teachers mentioned, Prof Susskind's style is to disassemble the hard facts and inspect the properties of the components, a style that is appropriate to "learning by doing", and because hard facts approach significant limits of understanding +/-, then it's possible to imagine merging those probability abstractions into the Big Picture, but without the kind of realization we have come to believe is Mathematical, and believe to be self-consistent truth.
So if all Einsteinian style Relativity Theory is devised mathematical from the observation of EM spectrum data, and WYSIWYG here-now-forever phenomenonological localization of hard facts, it's possible to say how those facts are real in their own terms, not so much in Pure Dynamic Mathematics of "Something in Nothing", Actuality of "mathematical" Time Duration Timing Modulation Mechanism.
The actual truth/nature of Time as sync-duration connectivity logarithmicly positioned Superspin-spiral, wave-package resonance integration looks like the EM picture of an explosion, but actually self-defines in Dynamic QM Superposition-pointed Singularity holographicly/projection-drawing, of apparently purely logarithmic mathematical origin that in Math-Phys-Chem and Geometrical proportioning-positioning is composed of sync-duration Time. Consequently, we rely on empirical beliefs modified by Math-Physics (QM-TIMESPACE) based continuous observational information refinement, which is termed "Theoretical", due to the innate uncertainty of e-Pi-i omnidirectional-dimensional, logarithmic interference positioning, factual inputs.
Prof Suskind supplies the refined facts, Prof Carroll paints the Big Picture in Theoretical effectiveness.
"No one is right if everyone is wrong" in degree, because of innate uncertainty in continuous cause-effect creation, circulation pulsed re-evolution, no matter how precise Numerical Mathematics can pinpoint phenomenonological localization, the mechanism of continuous cause-effect positioning is inherently metastable.
It's hard to believe anything at all under the circumstances, and makes Cultural Evolution propositional, ie Political, and reliant on trust in forward thinking. WYSIWYG.
What would be math prerequisites to prepare for tensors?
I understood the Susskind parts about metrics but when the partial derivatives get all mashed together on the board I get so lost.
Is there a good 'Tensors for Dummies' book?
Do you have any plan about maybe do one asmr vid?
May I know the font used in this paper?
Where i found these papers?
schwarzschild is a composite word but the words are schwarz-schild so its NOT pronounced like "child" in the end but more like "chilled", maybe look it up idk. Love your videos!
I really dislike physics and even in my JEE January attempt i got very less in physics
Did I understand correctly that you're not saying that the earth is flat and accelerating away from the plane known as the centre of the earth?
This was so interesting! You should make more videos about GR and just working through some problems to show the math involved. I would be very interested in seeing that.
Un topico dificil, conexiones,covariante, tensores, seudo-tensores, derivada covariante, subir y bajar, distintos tipos de formalismo, lagrangianos (materia + gravitacion), distintas coordenadas (E-F, kruskal), geometria diferencial (variedades diferenciales, 1-form,2-form, producto exterior, producto estrella,espacio-dual, fibrados,espinores),teoria linealizada (ondas gravitacionales, gauge, coord.armonicas, quadripolo),curvatura, escalar, ricci,demostraciones,identidades de bianchi,affinidad,etc,etc. De verdad un curso bien duro.
Did Sean Carroll ever make it to Australia? If so, did he ever get out?