I’ve found myself sharing your videos with physicists of all levels of expertise-from beginning students to long-time professors. Your videos are not only a gift to students, but they are also an inspiration to anyone interested in physics pedagogy. I hope you enjoy making these videos as much as we enjoy watching them.
I do enjoy making these videos a lot, it's a dream come true for me to be able to do them full time as my job! Very glad you like them, and thanks for the support 🙏
Yay! I'm biologist and im learning distance metrics, including geodesics as a part of a proyect that involves tensors and n-dimensional spaces of proteins. With this video I get a clear view about geodesics
This sparked my curiosity. Can you share a reference for your project and other related concepts of differential geometry applied to biology? Thanks in advance
I love that you explain the concepts clearly enough for most everyone, but also include the equations for those who wish to go further. Thank you for being "au-dessus de ma tête, mais pas hors de portée" (above my head, but not out of reach).
PBS Spacetime: Best topics and explanations but in a monotonous lecture without good graphics Science Asylum: excellent topics average graphics but good humour and interactive... sometimes too "crazy" stylewise Science Clic: Greatest visuals awesome narration...but too infrequent
This is another in a series of amazing, sophisticated, elegant, accolade-deserving videos that ought to receive recognition beyond just the UA-cam platform. That said, we were determined to find something to be nitpicky about, so here goes 😂 : “…when an apple falls off a tree from a previously motionless state….” **technically speaking** the apple hanging from the tree was subject to a force and therefore already in motion. “…it is because the curvature of spacetime bends the geodesics between time and space…” Well again, **technically** the apple wasn’t on a geodesic to begin with; being held up by the tree meant it was subject to geodesic deviation. There isn’t also really spacetime curvature in this small of a region. The ground is just an accelerated observer; the geodesic paths on his/her spacetime diagram appear to be bending as a consequence of that acceleration. (For there to be spacetime curvature in the vicinity, the distance between geodesics on the spacetime diagram would have to be changing - but even the down-diving lines maintain regular spacing.) However that statement does apply in the global sense, since without curved spacetime there wouldn’t be the gravitational force there to begin with. It’s very encouraging and inspiring to see videos of this quality and caliber out there - please keep it up!
I just watched your entire general relatively series and have never had such a strong understanding of the material. You also addressed how a 5th dimension is not needed to address gravity in your better general relativity model, which had been nagging my understanding of that concept for a long time. I have so far yet to go but feel invigorated to press forward thanks to you. I noticed you've been using the same song on every video for the last several years. I'd be absolutely willing to compose a custom soundtrack for your videos completely free as thanks for the work you do. Feel free to reach out any time :)
The giant connection with relativity at 6:14 blew my mind. These videos help me so much understanding general relativity because of it's excellent visual and audio information. Excellent channel!
This video is simply stunning! I'm amazed at how well you've condensed these equations and how intuitively you've explained them. I hope your channel absolutely explodes in popularity. Great job :D
I just LOVE your visualizations... They are clarifying so many things a textbook or a simple PowerPoint presentation can't really answer. Thanks for all the effort! Your channel is one of my favorite physics channels.
@@thenephilim9819 Rephrasing this: How about Sci Show, Sci Man Dan, Joe Scott, Tom Scott and nile Red? But if we expand the defintion to channel that entertain with science and/or knowledge and/or education, then lemme name many who took what Youtueber 'Oversimplified' did and evolved it. Tier Zoo, Hbomberguy and Bluejay are all great examples for this, just like CGP Grey. I wouldnt call them Science-UA-camrs, but they do the same as the Best of such: Teach via Humor.
I just found your channel and I'm blown away by the quality. Videos like yours inspire me to continue grinding through the hard parts of university to one day be able to wholly understand the beauty of the cosmos.
You did magnificent job to explain General Relativity. Although books plays important part in course but your work has reduced the time and energy of learner which he or she have to spent during Reading. I could understand importance of Riemann Geometry in General Relativity only beacuse of your videos
There's a misconception in this video. Every curve that traces the shortest path between any two points in a surface (minimizing curve) is a geodesic, but not all geodesics are minimizing curves. Another thing, the lines of latitude (parallels) on a sphere can be geodesics if a certain condition is met (like in 5:07, notice how the equator traces a "great circle" like the meridians). Beyond that I loved the animations and the linking with Relativity in under 12 minutes, great job!
Please just let the animation of the apple get to the ground. Everything is so perfect, just add a little more time to some of these satisfying animations. People love watching satisfying stuff.
I think it's worth mentioning that two identical objects moving in curved space-time with the same starting point will follow different geodesics depending on their initial speed. I mean, it's kind of obvious that objects thrown at different speeds will end up in different places, but it also seems really counter-intuitive that your "forward" direction depends on what speed you have. In space, the forward direction that you see with your eyes, which is actually a direction of a light-speed geodesic, is different from the forward direction you are moving.
Exactly, that's a good thing to keep in mind : geodesics are not straight lines in space, but in spacetime. Hence not only they depend on your initial direction in space, but also your initial direction in time (i.e. your initial speed).
Isn’t that because No two objects, identical or not can be in the same starting point at the same time in space, so would have to follow a different geodesic. Basically no two objects can ever have the same starting point or be in the same place, so isn’t it a given that it’s going to follow a different geodesic because it will be in a slightly different position.
@@ergyst but two objects can be on geodesics that look identical, if the objects have the same starting position and the same speed. They take the same path through space, but are phase shifted only in time? The geodesic are parallel in that case?
2:03 Metrics *do not* give you a grid as represented, tangent spaces do. Metric just gives you a scalar product of vectors in tangent spaces, which can differ at each point of a manifold. And as you presented in a video - in case of immerged manifolds and induced metrics - this has a perfect meaning of distances on a sphere.
The grid does lie in the tangent space, but it is not given solely by it but by the metric. With this "grid" I was referring to normal coordinates, which are derived from the metric, and which are a way to define local cartesian coordinates on the tangent space, and hence allow one to measure lengths and angles with the standard Pythagorean theorem (or Minkowski metric for spacetime). But yes technically the metric is a scalar product on tangent spaces, I didn't want to go in too much technicalities in this videos, my point was mainly to say that the metric is what allows us to measures distances and angles.
Your voice is something else mate, there's not a lack of physics or math channels but honestly the way you speak sets you apart, same reason Mat from PBS has a lot of success aswell, keep at it
@@bardiashahrestani8564 No problem, i can work with you having good taste anyway! How about Sci Show, Sci Man Dan, Joe Scott, Tom Scott and nile Red? But if we expand the defintion to channel that entertain with science and/or knowledge and/or education, then lemme name many who took what Youtueber 'Oversimplified' did and evolved it. Tier Zoo, Hbomberguy and Bluejay are all great examples for this, just like CGP Grey. I wouldnt call them Science-UA-camrs, but they do the same as the Best of such: Teach via Humor.
Oh my goodness I just love it when I hear that music because it tells me I'm about to learn something incredible and this time was no exception I loved every second of it. The music just gives me goosebumps I love it so much.
I've been learning more about non-euclidean geometry in order to gain a richer perspective of the human body. I have an interest in computational patternmaking for clothing design, and I found this. Simply put: My mind is Blown.
As usual, on point presentation and brilliant visualizations. In particular, with the image of the apple moving through space time it's kinda fun to imagine yourself doing that while being pushed *away* from your geodesic by the chair you're sitting on. This is quite different than the usual notion of being *pulled* down by the earth, but more accurate.
This is amazing stuff. Thank you for visualizing some of these difficult concepts. Honestly I think that schools should talk about this stuff when they are talking about Newton's First Law. If we all were taught that the "straight line" that Newton talks about is (spatially) what is being curved by gravity people would probably have a better understanding what is going on. Explaining the time dimension would then be a little be easier.
I love how first, it's the happy music, and I think "yes, two ants walking around, I get that, everything's good..." and then suddenly the music changes....
I think these sort of visualizations are the best way to help people understand the latest scientific understanding of space and time. I'd love to see you cover the visualization of Earth's gravity field (including the field inside the volume of the Earth).
Slight confusion. Is the Apple connects with Earth bcoz of Geodesics or is it remaining in it's place while the surface of the Earth moving towards it? Does the Apple move towards Earth or the Earth moves towards the Apple?
What a coincidence, I wad reading about this topic yesterday as I'm reading a book by Kip Thorne. Thank you for a clear explanation, I learned so much on this channel 😃
I remember having trouble calculating Riemann tensors in high school! UA-cam was only a year or two old then! It’s never been easier and more accessible now to autodidact STEM education, even if you have subpar teachers!
I'm glad physicists have the same type of humour as me. After hearing about the kerr singularity, I typed 'ringularity' in wikipedia and landed exactly where I hoped
"what is the shortest distance from this point to this one?" Me: get a bendy ruler and place it on the sphere Physicians: imagine every single possible trajectory ever that can be traced between the points across the entire available space and calculate the distance each trajectory walks by summing the length of each individual step of the whole trajectory for every trajectory ever… *INHALE* then compare then and find which one is the shortest.
Love the video... Wish you would have gone into more detail about how the ever increasing expansion of the universe over long time periods actually changes the geometry of spacetime. It is the expansion that eventually shrinks the cosmological event horizon for every point in space at the point of absolute thermal (and quantum) equilibrium, flattening every geodesic into a single point. This explains why a black holes event horizon is a 2 dimensional region devoid of any information from an outside observer. The event horizon is actually a cosmological event horizon surrounding the region of space we currently call a "singularity". It is not a true singularity, but rather a region of space cut of for the observer not by geographical space, but rather time. Space and time switch rolls at the event horizon from the perspective of an observer on the other side. At the time of collapse of a supernova, if you were able to observe from within the schwarzschild radius, you would see the rest of the universe race away until redshifted into oblivion. From the outside of the radius,you see the collapsing star get swallowed by your own cosmological event horizon, not the stars. If you are on the outside of the radius when the event horizon appears, you will never be able to reach the region of space where the star was...all because of the expansion of spacetime. I'm not sure why physicists fail to account for the expansion of spacetime when considering black holes and their relationship with the spacetime around them.
Quantum equilibrium can never be reached, in an infinite amount of time. No matter how many times you divide 1 through 2, you will never arrive at zero. Same goes with the entropy increase of the quantumfluctuational background foam. It will decrease in its energy level, but it will never reach absolute zero in an infinite amount of time.
@@hitbox7422 lol... You can if each point in Hilbert space is enclosed within its own event horizon.... Thermal equilibrium is when no energy can be transfered from one point to another... You can expand spacetime forever... You can't stretch waveforms forever and still have them be a waveform, they eventually flatline i.e. Thermal death. Observe redshifting and there's your evidence. Never is not a useful term when talking about infinity.
How people could dislike this is beyond me. It's interesting, it's not remotely offensive, just plain knowledge made understandable to laymen like us. And people go I HATE THIS, GET IT AWAY FROM ME
One addition is to say, geodesics are paths where you wouldn't experience any tangential acceleration while moving with a constant speed. Any acceleration if exists would be normal
Actually a geodesic is a path with no acceleration at all, neither tangential nor normal. A path with no tangential acceleration is more generally an affinely parametrized path, in other words a path whose tangent vector never changes length. On the other hand a path with no normal acceleration would be a non-affinely parametrized geodesic, in other words a path whose tangent vector never changes direction. And a "geodesic" is a path where both properties are verified : the tangent vector neither changes length nor direction.
@@nisaxaxa123 Here you're thinking about a 2D space embedded within a 3D space. And the acceleration you're referring to is a vector in the surrounding 3D space, it's the vector which is normal to the 2D surface. But if you restrict yourself to the 2D space, forgetting that it is embedded inside a 3D space, the object doesn't have any acceleration, because this vector doesn't exist in the 2D space. That's the difference between extrinsic and intrinsic geometry. For example : In 3D space, a cylinder seems curved, and the geodesics look like they are following the curvature, and hence are subject to an acceleration. But if you forget that it's embedded within a 3D space, if you "flatten" the surface of the cylinder onto a 2D plane, the geodesics simply become straight lines, and you see that the surface of the cylinder has actually no curvature. But yes your point was right in the sense that a geodesic is a path that has no acceleration within the surface in which it is traced. There was a confusion from me, when you wrote "tangential" and "normal" I thought you were referring to the geodesic (to characterize whether the acceleration is pointing in the same direction as the geodesic, or in a perpendicular direction, within the surface), when instead you were referring to being tangential or perpendicular to the surface itself.
@@ScienceClicEN could you build a series of these videos to solving the orbit of mercury, I could never find any good material on this. It is interesting that this was one of the first things they did to confirm GR. But it is almost never found in a book as an example or exercise.
I’ve found myself sharing your videos with physicists of all levels of expertise-from beginning students to long-time professors. Your videos are not only a gift to students, but they are also an inspiration to anyone interested in physics pedagogy. I hope you enjoy making these videos as much as we enjoy watching them.
I do enjoy making these videos a lot, it's a dream come true for me to be able to do them full time as my job! Very glad you like them, and thanks for the support 🙏
@@ScienceClicEN You're a legend! keep it up and I hope the channel continues to grow strong!
@@ScienceClicEN these are the gifts that keep on giving
@@ScienceClicEN I can only second the OP.
Your videos are leagues above similar content creators - and they're not bad. You're an amazing educator.
ua-cam.com/video/c8kAv2zm3-k/v-deo.html check this out my lingo is way different but I think I got something workable here maybe
This is what the internet and UA-cam should be used for not the dumb stuff of social media.
Yes!!
Yay! I'm biologist and im learning distance metrics, including geodesics as a part of a proyect that involves tensors and n-dimensional spaces of proteins. With this video I get a clear view about geodesics
Glad it could help you!
since you studying this...... is this guy correct......
ua-cam.com/video/Q185InpONK4/v-deo.html
You need an English 1 class. pure and simple.
@@dustysavage1187 Not everyone is a native English speaker, and science is done in other languages as well.
This sparked my curiosity. Can you share a reference for your project and other related concepts of differential geometry applied to biology? Thanks in advance
Favorite science channel on the site honestly
🙏
Amazing dimensionality of complex topics simply explained. ^.^
I love that you explain the concepts clearly enough for most everyone, but also include the equations for those who wish to go further. Thank you for being "au-dessus de ma tête, mais pas hors de portée" (above my head, but not out of reach).
That's a very interesting saying. I'll be quoting you on that 😁
It is insane how well presented your videos are. Please keep this up! :)
Thanks!
You're the Geodesic to my Relativity, ScienceClic
Haha thank you very much, glad you like them 🙏
Showing that following the same latitude is not a geodesic is more clear near the poles. Great video.
You're right, it becomes obvious near the poles where clearly one should turn to keep a constant latitude
This is the best Physics channel by far. The concepts are explained in the right amount of detail
PBS Spacetime: Best topics and explanations but in a monotonous lecture without good graphics
Science Asylum: excellent topics average graphics but good humour and interactive... sometimes too "crazy" stylewise
Science Clic: Greatest visuals awesome narration...but too infrequent
I understand scienceclic the most 😅
This is another in a series of amazing, sophisticated, elegant, accolade-deserving videos that ought to receive recognition beyond just the UA-cam platform. That said, we were determined to find something to be nitpicky about, so here goes 😂 :
“…when an apple falls off a tree from a previously motionless state….”
**technically speaking** the apple hanging from the tree was subject to a force and therefore already in motion.
“…it is because the curvature of spacetime bends the geodesics between time and space…”
Well again, **technically** the apple wasn’t on a geodesic to begin with; being held up by the tree meant it was subject to geodesic deviation. There isn’t also really spacetime curvature in this small of a region. The ground is just an accelerated observer; the geodesic paths on his/her spacetime diagram appear to be bending as a consequence of that acceleration. (For there to be spacetime curvature in the vicinity, the distance between geodesics on the spacetime diagram would have to be changing - but even the down-diving lines maintain regular spacing.) However that statement does apply in the global sense, since without curved spacetime there wouldn’t be the gravitational force there to begin with.
It’s very encouraging and inspiring to see videos of this quality and caliber out there - please keep it up!
Thanks! Yes you are completely right, this video was actually made in 2018, if I had remade it recently I might have changed some of the formulations
This channel knows the geodesic to my heart
I just watched your entire general relatively series and have never had such a strong understanding of the material. You also addressed how a 5th dimension is not needed to address gravity in your better general relativity model, which had been nagging my understanding of that concept for a long time. I have so far yet to go but feel invigorated to press forward thanks to you. I noticed you've been using the same song on every video for the last several years. I'd be absolutely willing to compose a custom soundtrack for your videos completely free as thanks for the work you do. Feel free to reach out any time :)
By far, ScienceClic is the most precise on the subjects of physics in the internet. Keep up the good work.
Mind if i give you some scientific YT-Recommendations?
The giant connection with relativity at 6:14 blew my mind. These videos help me so much understanding general relativity because of it's excellent visual and audio information. Excellent channel!
I was actually left speechless at that moment.. I had to pause the video. Amazing.
This video is simply stunning! I'm amazed at how well you've condensed these equations and how intuitively you've explained them. I hope your channel absolutely explodes in popularity. Great job :D
Thank you very much 🙏
I just LOVE your visualizations... They are clarifying so many things a textbook or a simple PowerPoint presentation can't really answer. Thanks for all the effort! Your channel is one of my favorite physics channels.
Mind if i give you some scientific Recommendations?
@@nenmaster5218 Of course not ... Please go for it 🤗
@@thenephilim9819 How about Sci Show, Professor Dave, Sci Man Dan, Tier Zoo, Hbomberguy and more-if-you-want then?
@@thenephilim9819 Rephrasing this:
How about Sci Show, Sci Man Dan, Joe Scott, Tom Scott and nile Red?
But if we expand the defintion to channel that entertain with science and/or knowledge and/or education,
then lemme name many who took what Youtueber 'Oversimplified' did and evolved it.
Tier Zoo, Hbomberguy and Bluejay are all great examples for this, just like CGP Grey. I wouldnt call them Science-UA-camrs,
but they do the same as the Best of such: Teach via Humor.
I just found your channel and I'm blown away by the quality. Videos like yours inspire me to continue grinding through the hard parts of university to one day be able to wholly understand the beauty of the cosmos.
Best visual learning channel on UA-cam hands down
This is the BEST science channel on UA-cam!!!
Alot of this knowledge I've already viewed in other videos, but the clear step by step breakdown is a joy to watch/listen to. Great content!
You are 3blue1brown of physics 👌
You did magnificent job to explain General Relativity.
Although books plays important part in course but your work has reduced the time and energy of learner which he or she have to spent during Reading.
I could understand importance of Riemann Geometry in General Relativity only beacuse of your videos
The gravity of this channel will not allow me to leave. Bravo.
I get excited every time you upload
Me too
Incredibly well explained and the visuals make it crystal clear. Thank you very much.
I was literally arguing with my friends about the path a plane takes, yesterday. Great video and thanks! Now I can refer them here.
Please keep these videos coming. The narrative is so awesome and clear-
My fav UA-cam channel. ❤️❤️
There's a misconception in this video. Every curve that traces the shortest path between any two points in a surface (minimizing curve) is a geodesic, but not all geodesics are minimizing curves. Another thing, the lines of latitude (parallels) on a sphere can be geodesics if a certain condition is met (like in 5:07, notice how the equator traces a "great circle" like the meridians). Beyond that I loved the animations and the linking with Relativity in under 12 minutes, great job!
Please just let the animation of the apple get to the ground. Everything is so perfect, just add a little more time to some of these satisfying animations. People love watching satisfying stuff.
This channel is pure quality. Simplicity at its finest. Thank you very much for entertaining us.
Only here every phisics topic become understandable and accessible to everyone. That's very unique.
That part about a falling apple is simply superbly described.
I love your videos! Thank you for your hardwork and creativity 🥰
Thanks 🙏
I think it's worth mentioning that two identical objects moving in curved space-time with the same starting point will follow different geodesics depending on their initial speed.
I mean, it's kind of obvious that objects thrown at different speeds will end up in different places, but it also seems really counter-intuitive that your "forward" direction depends on what speed you have. In space, the forward direction that you see with your eyes, which is actually a direction of a light-speed geodesic, is different from the forward direction you are moving.
Exactly, that's a good thing to keep in mind : geodesics are not straight lines in space, but in spacetime. Hence not only they depend on your initial direction in space, but also your initial direction in time (i.e. your initial speed).
Isn’t that because No two objects, identical or not can be in the same starting point at the same time in space, so would have to follow a different geodesic. Basically no two objects can ever have the same starting point or be in the same place, so isn’t it a given that it’s going to follow a different geodesic because it will be in a slightly different position.
@@ergyst but two objects can be on geodesics that look identical, if the objects have the same starting position and the same speed. They take the same path through space, but are phase shifted only in time?
The geodesic are parallel in that case?
@@Timelord79 can’t even remember what point was about bro I was high af
S.C.E I'm always working when you're uploads come up, just saying that I appreciate this channel as much as people who comment earlier than me
2:03
Metrics *do not* give you a grid as represented, tangent spaces do.
Metric just gives you a scalar product of vectors in tangent spaces, which can differ at each point of a manifold. And as you presented in a video - in case of immerged manifolds and induced metrics - this has a perfect meaning of distances on a sphere.
The grid does lie in the tangent space, but it is not given solely by it but by the metric. With this "grid" I was referring to normal coordinates, which are derived from the metric, and which are a way to define local cartesian coordinates on the tangent space, and hence allow one to measure lengths and angles with the standard Pythagorean theorem (or Minkowski metric for spacetime). But yes technically the metric is a scalar product on tangent spaces, I didn't want to go in too much technicalities in this videos, my point was mainly to say that the metric is what allows us to measures distances and angles.
Yay, welcome back ScienceClic!
Yes! You finnaly back, LOVE your content
Marvelous video, as usual!
Thanks!
Absolutely stunning videos. Just keep making them!
Your voice is something else mate, there's not a lack of physics or math channels but honestly the way you speak sets you apart, same reason Mat from PBS has a lot of success aswell, keep at it
Thank you! These are very informative and extremely well-designed illustrations!
Mind if i give you some scientific YT-Recommendations?
@@nenmaster5218 Go ahead! just leave out kurtzgesagt and PBS as I already know them.
@@bardiashahrestani8564 No problem, i can work with you having good taste anyway!
How about Sci Show, Sci Man Dan, Joe Scott, Tom Scott and nile Red?
But if we expand the defintion to channel that entertain with science and/or knowledge and/or education,
then lemme name many who took what Youtueber 'Oversimplified' did and evolved it.
Tier Zoo, Hbomberguy and Bluejay are all great examples for this, just like CGP Grey. I wouldnt call them Science-UA-camrs,
but they do the same as the Best of such: Teach via Humor.
Incredible quality. Just amazing.
This wonderful article is smooth and gentle, the very best way to wade into cold water...😎
I love this channel. I just realized I saw this but I’m watching it again….
Daaamn you nailed Minkowski pronunciation.
Octave who does the voice over speaks German ;)
After Vsauce and Veritasium, i find your channel more interesting and understandable.
Oh my goodness I just love it when I hear that music because it tells me I'm about to learn something incredible and this time was no exception I loved every second of it. The music just gives me goosebumps I love it so much.
i have no idea if at the end you were just flexing that you can pronounce that but it doesn't matter, these videos are amazing
great explanation
I've been learning more about non-euclidean geometry in order to gain a richer perspective of the human body. I have an interest in computational patternmaking for clothing design, and I found this. Simply put: My mind is Blown.
This is the best channel I need satisfying my curiosity very well!
As usual, on point presentation and brilliant visualizations. In particular, with the image of the apple moving through space time it's kinda fun to imagine yourself doing that while being pushed *away* from your geodesic by the chair you're sitting on. This is quite different than the usual notion of being *pulled* down by the earth, but more accurate.
This is amazing stuff. Thank you for visualizing some of these difficult concepts. Honestly I think that schools should talk about this stuff when they are talking about Newton's First Law. If we all were taught that the "straight line" that Newton talks about is (spatially) what is being curved by gravity people would probably have a better understanding what is going on. Explaining the time dimension would then be a little be easier.
Thankyou for Expanding my mind and Appreciation of Source xx
Well,,,, you are late but,,, the way you make ur videos makes me happy always😘
Genius, Geeez I would love to have such presentation 30+ years ago!
Animation and modeling is superb!
Thank you!
I wish I saw this before my cosmology course. Great video!
Your videos are gifts.
Love all of these videos!
Thanks :)
My cat loves this video 😼
I love how first, it's the happy music, and I think "yes, two ants walking around, I get that, everything's good..." and then suddenly the music changes....
I think these sort of visualizations are the best way to help people understand the latest scientific understanding of space and time. I'd love to see you cover the visualization of Earth's gravity field (including the field inside the volume of the Earth).
Very Valuable Science video 👍👍👍
Amazing as always. I can't wait for more 😍😍
Great video, as usual. Ants and geodesics, cool!
All videos are awesome
And explanations are like Cristal clear..
Plz make a project on higgs field and higgs boson.
Thanks 👍🏻
Not a sciclick video without black holes
Haha fair enough 😄
Well explained as always 😊
Thanks!
It's funny, I already studied this in uni, and I have good understanding of everything you mentioned, but I still enjoyed watching the video.
Like it how the music changes suddenly ❤.. very nice explanation 🫵🏼👍🏼
Slight confusion. Is the Apple connects with Earth bcoz of Geodesics or is it remaining in it's place while the surface of the Earth moving towards it? Does the Apple move towards Earth or the Earth moves towards the Apple?
What a coincidence, I wad reading about this topic yesterday as I'm reading a book by Kip Thorne. Thank you for a clear explanation, I learned so much on this channel 😃
Glad you liked it!
Thank you, this is superb. It's going to be shared.
Really cool! Very insightful!
I remember having trouble calculating Riemann tensors in high school! UA-cam was only a year or two old then! It’s never been easier and more accessible now to autodidact STEM education, even if you have subpar teachers!
Do not stop.
Awesome video, as always!
Thank you!
Very nice animation.
very nice from India and nice music
Another banger, this channel can't miss
Thank you so much! Is there any chance to have an introductory video about noncommutative geometry in physics?
Great videos man. Have been watching all of them recently to solidify my knowledge. Keep it up!!
Superbly done! Thank you.
I'm glad physicists have the same type of humour as me. After hearing about the kerr singularity, I typed 'ringularity' in wikipedia and landed exactly where I hoped
Always brillant. I look forward to your videos. Thank you for the time and effort to make these animations. 😊
"what is the shortest distance from this point to this one?"
Me: get a bendy ruler and place it on the sphere
Physicians: imagine every single possible trajectory ever that can be traced between the points across the entire available space and calculate the distance each trajectory walks by summing the length of each individual step of the whole trajectory for every trajectory ever… *INHALE* then compare then and find which one is the shortest.
Wonderful class.
This was a tough one. I'm going to have to watch it several times before I can feel I understand it.
Make a video on how you understand any physics concept...what's the process you go through
Great videos for learning about physics.
Thank you!
Love the video... Wish you would have gone into more detail about how the ever increasing expansion of the universe over long time periods actually changes the geometry of spacetime. It is the expansion that eventually shrinks the cosmological event horizon for every point in space at the point of absolute thermal (and quantum) equilibrium, flattening every geodesic into a single point. This explains why a black holes event horizon is a 2 dimensional region devoid of any information from an outside observer. The event horizon is actually a cosmological event horizon surrounding the region of space we currently call a "singularity". It is not a true singularity, but rather a region of space cut of for the observer not by geographical space, but rather time. Space and time switch rolls at the event horizon from the perspective of an observer on the other side. At the time of collapse of a supernova, if you were able to observe from within the schwarzschild radius, you would see the rest of the universe race away until redshifted into oblivion. From the outside of the radius,you see the collapsing star get swallowed by your own cosmological event horizon, not the stars. If you are on the outside of the radius when the event horizon appears, you will never be able to reach the region of space where the star was...all because of the expansion of spacetime. I'm not sure why physicists fail to account for the expansion of spacetime when considering black holes and their relationship with the spacetime around them.
Quantum equilibrium can never be reached, in an infinite amount of time. No matter how many times you divide 1 through 2, you will never arrive at zero. Same goes with the entropy increase of the quantumfluctuational background foam. It will decrease in its energy level, but it will never reach absolute zero in an infinite amount of time.
@@hitbox7422 lol... You can if each point in Hilbert space is enclosed within its own event horizon.... Thermal equilibrium is when no energy can be transfered from one point to another... You can expand spacetime forever... You can't stretch waveforms forever and still have them be a waveform, they eventually flatline i.e. Thermal death. Observe redshifting and there's your evidence.
Never is not a useful term when talking about infinity.
Good to see you
Your are just mind blowing
This video is, as always, really great!! Keep it up! Any plans to make a video on quantum chromodynamics?
I would like to see QCD on this channel as well, since I could sure use some clarification
How people could dislike this is beyond me. It's interesting, it's not remotely offensive, just plain knowledge made understandable to laymen like us. And people go I HATE THIS, GET IT AWAY FROM ME
One addition is to say, geodesics are paths where you wouldn't experience any tangential acceleration while moving with a constant speed. Any acceleration if exists would be normal
Actually a geodesic is a path with no acceleration at all, neither tangential nor normal. A path with no tangential acceleration is more generally an affinely parametrized path, in other words a path whose tangent vector never changes length. On the other hand a path with no normal acceleration would be a non-affinely parametrized geodesic, in other words a path whose tangent vector never changes direction. And a "geodesic" is a path where both properties are verified : the tangent vector neither changes length nor direction.
@@ScienceClicEN imagine a 2d space where you have hills like sin(x)+y wouldn't you experience normal acceleration when moving at constant speed?
@@nisaxaxa123 Here you're thinking about a 2D space embedded within a 3D space. And the acceleration you're referring to is a vector in the surrounding 3D space, it's the vector which is normal to the 2D surface. But if you restrict yourself to the 2D space, forgetting that it is embedded inside a 3D space, the object doesn't have any acceleration, because this vector doesn't exist in the 2D space. That's the difference between extrinsic and intrinsic geometry.
For example : In 3D space, a cylinder seems curved, and the geodesics look like they are following the curvature, and hence are subject to an acceleration. But if you forget that it's embedded within a 3D space, if you "flatten" the surface of the cylinder onto a 2D plane, the geodesics simply become straight lines, and you see that the surface of the cylinder has actually no curvature.
But yes your point was right in the sense that a geodesic is a path that has no acceleration within the surface in which it is traced. There was a confusion from me, when you wrote "tangential" and "normal" I thought you were referring to the geodesic (to characterize whether the acceleration is pointing in the same direction as the geodesic, or in a perpendicular direction, within the surface), when instead you were referring to being tangential or perpendicular to the surface itself.
@@ScienceClicEN could you build a series of these videos to solving the orbit of mercury, I could never find any good material on this. It is interesting that this was one of the first things they did to confirm GR. But it is almost never found in a book as an example or exercise.