To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
@@EugeneKhutoryansky Werner Music is right, for someone who tried to wrap their head around curvatures and parallel transports to get an intuitive understanding of general relativity, this video is invaluable. Thanks for making this.
I'll have to take your word for it. I'm totally Homer Simpson watching this. My doofus brain is so out of its depths that it can only think about pizza, donuts, and party hats. So my question is this: If black hole singularities are party hats, what are they celebrating?
Thanks for the compliment. More videos are on their way. I make all the animations for my videos myself. In many cases, it takes me several months of work to create the animations for a single video, so please be patient.
I make the 3D animations with "Poser." Also, I sometimes create some of the 3D models in "Wings3D", and then import them into Poser as ".obj" files. Also, although Poser has a built in physics simulator called "Bullet Physics", I also have an add-on to Poser called "Poser Physics" which works better for certain types of simulations.
@@EugeneKhutoryansky I much prefer quality over quantity. Unfortunately the RUclips algorithms currently do not properly reward your style of work, but I hope and expect that your material will have a "long tail", providing value long into the future. In other words, take all the time you need, and please keep a copy of the original models and code. I suspect that they will be used in the future to extend your videos into interactive and/or AI-assisted learning environments. This work will last.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?v=Dl6-5qDifrs&ref=share You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit buttons for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
Kawser, I make my 3D animations with the software "Poser." Poser is expensive, but there are also free 3D animation programs available such as "Blender" and "Daz Studio."
10:04 pretty much the only place for a 2D Being living on the cone to go when it enters the tip is the “other side” of the surface. This results in a parity inversion and a gravity well protruding into the “other side”.
Finally the curvature of the cone visualized. Reminds me of the Leonard Susskind lecture where he showed the geodesics and curvature vector rotation on the cone using a paper model.
V L indeed, I had the same thought, re parallel transport. Or as Professor Susskind says in his videos in his endearing accent, “parallelly transport” :-)
Wondering what you were referring to, I found 1:02:15 of the YT vid 'Einstein's General Theory of Relativity | Lecture 6' by Leonard Susskind & Stanford
Due to this video I was able to solve what happens to something after it falls into a Black Hole. The video explaining it is on my channel. Thank you, Eugene. You’re the Best.
Something just clicked for me while watching this. Light bulb went on. I have understood these concepts, at least enough to feel comfortable with them but my level of understanding just became a little bit deeper! Thanks Eugene Khutoryansky!
IMHO, Eugene is a genius as his name suggests. The way how his videos explain the laws of physics is the most innovative way of teaching physics as of now. I am very much hoping that Universities can adopt his approach or at least start using his videos in class. Thank you for making the world really (!) a better place.
I teach electrical courses to adult apprentices in the evenings. Your electrical and math animations have given a whole new level of understanding to my students. (My 12 year old daughter has also gotten into the physics of general relativity and loves the videos). Thank you for these!
It's also time consuming. I watched it, and then with a drooling mouth I started thinking and Google'd some things, watched more videos, and went on a Wikipedia adventure and there we are, just wasted the whole day.
@@Reach3DPrinters Theoretical things like gravity and it's relation to time (which is just a transient-blip construct and not a fabric) can make all kinds of sense in our minds or on paper and even have some natural characteristics as well but doesn't necessarily mean they are reality. Take for instance these vector laws; do you think if you traveled a 1000 km square over the surface of earth, you would not return to your original location? I asked my original question because E.K. should be amply intelligent to apply all the things that limit vision and how they contribute to the theoretical "horizon" we see, instead of the common mistake of seeing it as a literal drop off point of a curved earth. So indeed, the earth is the biggest object and somehow contains the stars and sun and moon in it's sky, and not the other way around. At the very least, we now know for a fact that earth is not spherical, and great minds should be working out some theories that support these yet-to-be-understood realities instead of the fantasies that are getting old.
In reality, radii does not apply. but in theoretical mind ^#$%ery a straight line has INFINITE radius! (i will re-watch to see if there was practicality to giving a straight line infinite radii)
Sr Eugene hace unos videos expectaculares y las explicaciones muy claras y fáciles de entender. El mejor canal hasta la fecha. Muchas gracias y siga con su gran trabajo de divulgación y enseñanza . GENIAL!
I travel a lot for work. I have spent many hours watching your videos, the perfect combination of entertaining and educational. Please keep making them, and I will look forward to more physics, math, Hungarian Rhapsody, and Kira! Thank you for the effort you put into these!
Again, another one of your visual explanations blows my mind. I understand the math behind this, but in an abstract way. Seeing it visualized makes it orders of magnitude more intuitive.
More videos are on their way. I make all the animations for my videos myself. In many cases, it takes me several months of work to create the animations for a single video, so please be patient.
Views may be low, but you prudence high quality content! Don't stop making videos, this is literally my favorite channel on RUclips. You ara about to hit 500k congratulations on that!
Some may find the narration a bit soporific, but this is loaded with key information, and really clear animations of parallel transport of vectors. Thumbs up!
At 4:18 How do you say or with what respect do you see means how you are telling that, a particular vector has this direction of travel or that direction of travel ?
If someone could help me imagine how this translates to a 3D being going around a black hole singularity in 4D spacetime. Or in other words, how does this work in our universe? Great video as always! Thanks for creating such awesome content :)
Instead of a regular sphere, you have a 4 dimensional hypersphere with time as the 4th dimension. Time gets stretched to infinity as well as the curvature of space the closer you get to a singularity. It's hard to visualize, but lookup Penrose diagrams and watch PBS spacetime for more examples.
In the 3-dimensional case of gravity, imagine a large lattice of dots representing points in 3D space. Now place a spherical object in the middle and imagine each point around it being pulled in from all sides. I think a black hole would just be a place where those points are really densely packed together so that all geodesics lead toward the center.
@@EugeneKhutoryansky In fact, not just this one. All of your videos I have watched are wonderful! :D It is always nice to visualize the abstract mathematical concepts. Particularly when these have to do with geometry!!
@@EugeneKhutoryansky NFTs are a way of packaging and selling digital art. It's an easy and fast growing new industry... it may be worth your time to look into it... Best wishes!
4:56 - 5:07 why the arrow moves without changing its angle at top relative to the space. but when it goes at the bottom line of the rectangle it stays tangent to the surface?
Because the vector is following the rules of parallel transport, as described in 1:10 to 1:27. The flat surface tangent to the donut at any point on the top already contains the vector inside the flat surface, and hence the vector doesn't rotate.
You're propably one of the best channel on RUclips i really like your videos and your hard work put in it.could you please do video about quantum chromodynamics i still don't understands it well.
Many thanks! I hadn't thought of adding a sector to a 2-d euclidean disk, to force it into a 'Pringle chip' (saddle-shaped) form. Very clear explanation and animation.
Brilliant! I have only met the term ‘singularity’ before in the context of black holes. Does the concept of the Planck length, volume, etc. not remove the problems of infinite density, etc. at the centre of black holes? Sorry for the off-topic question, but it keeps me awake! Thanks for the video... ❤️👍🏻🇮🇪☘️
That is exactly what came into my mind. Officially a black hole is a hole in space-time and I woud tink of the tip of the cone is cut of tien jou have an hole with planck length radius and the singularity disappears.
“The angle of the section we add to the circle is exactly equal to the angle of the vector as it rotates around the surface”. What does that mean? It looks like you’ve added a section to a flat circle- so it has no angle. Also what is the “angle” Of the section with respect too?
how does the two dimensional being know how much the orientation of their bearing vector changed as they walk in these loops ? Or rather how do they keep their orientation compass fixed as they walk in the loop.
I love your videos. I do have a question. When approaching the speed of light, it take more energy to accelerate, such that it takes infinite energy to reach the speed of light. So the energy of acceleration in the direction of velocity takes exponentially more the faster you go. But what about slowing down? Say you are going 99.99999%c and you want to slow down. Would it take the inverse of the energy needed to accelerate in the direction of velocity? Or would it take the same energy to apply negative acceleration (opposite velocity) as it would to apply positive acceleration(in the direction of velocity)?
@Leo Yohansen thank you for taking the time to answer. I am confused by your answer. In the first part you say you need equal energy to slow down as you do to speed up. But in the second part you say there is a resistance one way and not the other, implying that there would be unequal amounts of energy.
@Leo Yohansen thank you for a wonderful explanation. It fits exactly how I envisioned the universe working and confirmed some suspicions I had about other aspects.
@Leo Yohansen not to mention they have experimentally proven that the acceleration of a rotating body has been shown to drag spacetime with it. This tells me that spacetime has almost what could be described as a viscosity against acceleration and velocity.
🌹Mam, can you please make a video on Schwarzschild metric and nature of different black hole. I love to see all your videos and they contain qualitative explaination with very simple and smarter approach to the concept.🌹🌹💕💕 and I have one question too Can strong magnetic field bend the light?
Ajit, the Schwarzschild metric and black holes are on my list of topics for future videos. No, magnetic fields will not bend light because photons do not possess an electric charge. Thanks.
Hello Sir. All of your presentations/visualizations are the best out there. Can you make a video about solid state relay and how it works? Thank you Eugene
Couldnt the tip of the cone become hyperbolic space to accommodate the infinite curvature with no radius? Isnt that what everything is composed of and trying to accomplish?
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
--To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video.
--If you believe that the translation in the subtitles can be improved, please send me an email.
Italian subtitles please !
What a satisfying feeling to understand how the universe works. Thank you Eugene.
Thanks.
They should create a Nobel prize in education and give it to Eugene! These videos have completely rewired my brain...!
Thanks for that really great compliment.
@@EugeneKhutoryansky Werner Music is right, for someone who tried to wrap their head around curvatures and parallel transports to get an intuitive understanding of general relativity, this video is invaluable. Thanks for making this.
I'll have to take your word for it. I'm totally Homer Simpson watching this. My doofus brain is so out of its depths that it can only think about pizza, donuts, and party hats. So my question is this: If black hole singularities are party hats, what are they celebrating?
@@EugeneKhutoryansky What about extrinsic curvature?
@@Sapientiaa this really is extrinsic curvature as we are seeing curvature outside of the objects surface and its embedding to a higher dimension
Just wanted to say that I love your videos! They have helped me so much in learning math and physics.
Thanks. I am glad that my videos have been helpful.
Salvador Guzman exactly u are true they are really helpful
Please make videos regularly because your explanation is unique. No one in this world can explain like you
Thanks for the compliment. More videos are on their way. I make all the animations for my videos myself. In many cases, it takes me several months of work to create the animations for a single video, so please be patient.
@@EugeneKhutoryansky may I ask what softaware/language+libraries/modules you're using to create the animations?
Keep up your excellent work!!
I make the 3D animations with "Poser." Also, I sometimes create some of the 3D models in "Wings3D", and then import them into Poser as ".obj" files. Also, although Poser has a built in physics simulator called "Bullet Physics", I also have an add-on to Poser called "Poser Physics" which works better for certain types of simulations.
I would rather they take their time, that's how we get gems like this!
@@EugeneKhutoryansky I much prefer quality over quantity. Unfortunately the RUclips algorithms currently do not properly reward your style of work, but I hope and expect that your material will have a "long tail", providing value long into the future. In other words, take all the time you need, and please keep a copy of the original models and code. I suspect that they will be used in the future to extend your videos into interactive and/or AI-assisted learning environments. This work will last.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ruclips.net/user/timedtext_video?v=Dl6-5qDifrs&ref=share
You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit buttons for both the title and for the subtitles, as they are submitted separately.
Details about adding translations is available at
support.google.com/youtube/answer/6054623?hl=en
Thanks.
Ok i will translate in urdu very soon.
Please make videos regularly because your explanation is unique. No one in this world can explain like you
@@gurejalectures if you become pateron, it will be more often.
Please help me
Which software used for the animation video
Kawser, I make my 3D animations with the software "Poser." Poser is expensive, but there are also free 3D animation programs available such as "Blender" and "Daz Studio."
10:04 pretty much the only place for a 2D Being living on the cone to go when it enters the tip is the “other side” of the surface. This results in a parity inversion and a gravity well protruding into the “other side”.
Finally the curvature of the cone visualized. Reminds me of the Leonard Susskind lecture where he showed the geodesics and curvature vector rotation on the cone using a paper model.
I watched that one! 😃
V L indeed, I had the same thought, re parallel transport. Or as Professor Susskind says in his videos in his endearing accent, “parallelly transport” :-)
Wondering what you were referring to, I found 1:02:15 of the YT vid 'Einstein's General Theory of Relativity | Lecture 6' by Leonard Susskind & Stanford
@@alwaysdisputin9930 I strongly recommend all of his lectures (there's a 193 videos playlist), unfortunately some are in low quality
Due to this video I was able to solve what happens to something after it falls into a Black Hole. The video explaining it is on my channel. Thank you, Eugene. You’re the Best.
OMG look who's back...I love your videos...Thank you sooooo much for existing
As always, EXCELLENT! Thank you so much for existing. You give me a beautiful understanding!
Thanks for the compliments.
Something just clicked for me while watching this. Light bulb went on. I have understood these concepts, at least enough to feel comfortable with them but my level of understanding just became a little bit deeper! Thanks Eugene Khutoryansky!
Glad my video was helpful. Thanks.
IMHO, Eugene is a genius as his name suggests. The way how his videos explain the laws of physics is the most innovative way of teaching physics as of now. I am very much hoping that Universities can adopt his approach or at least start using his videos in class. Thank you for making the world really (!) a better place.
Thanks for the compliments.
Excellent explanation. Love these videos, even though they can hurt my brain sometimes 😉👌
Thanks.
I teach electrical courses to adult apprentices in the evenings. Your electrical and math animations have given a whole new level of understanding to my students. (My 12 year old daughter has also gotten into the physics of general relativity and loves the videos). Thank you for these!
Thanks. I am glad my videos are helpful.
For as many times as I’ve heard this talked about- it’s never been EXPLAINED. Now this makes a lot of sense. Thanks you for this.
Thanks. I am glad my video was helpful.
One of the underrated educational channels on RUclips. Great work!
Thanks.
Amazing. Good job. I am a humanities student and i don't know why i am charmed by your videos. Keep going.
Thanks. I am glad you like my videos.
So that's the reason why at the center of a Black hole we have infinite curvature!
Thats heavy man, heavy enough to bend some dimensions.
Black holes probably have both intrinsic and extrinsic infinite curvature. They might just be the only objects in the universe with that property.
@@NikolaosSkordilis Mass is composed of micro black holes.
It also (kind of) explains how gravity affects time, since its one of the four dimensional vector components
Pro-tip: if you have mind work to do, don't watch this. It's mind melting and awesome.
thanks lol
Do it on ACID :) 150-200ug IT ALL MAKE SENSE
It's also time consuming. I watched it, and then with a drooling mouth I started thinking and Google'd some things, watched more videos, and went on a Wikipedia adventure and there we are, just wasted the whole day.
Aferin bir türk, türkçeye çevir lütfen diğer videolarıda
Ya milleti böyle korkutup ne eline geçiyor cesaretlendireceğine
Thank you for such a beautiful video. I have learnt a lot from your videos.
Thanks for the compliment about my video.
I just learned that a line can be thought of as having a radius of infinity!
The larger the radius of a circle, the more the outside of the circle will look like a straight line.
@@EugeneKhutoryansky Isn't it possible in theory that earth is the largest object in the universe it is in?
@@ME-ru4hv That which contains the largest thing... is the largest thing. :)
@@Reach3DPrinters Theoretical things like gravity and it's relation to time (which is just a transient-blip construct and not a fabric) can make all kinds of sense in our minds or on paper and even have some natural characteristics as well but doesn't necessarily mean they are reality.
Take for instance these vector laws; do you think if you traveled a 1000 km square over the surface of earth, you would not return to your original location?
I asked my original question because E.K. should be amply intelligent to apply all the things that limit vision and how they contribute to the theoretical "horizon" we see, instead of the common mistake of seeing it as a literal drop off point of a curved earth.
So indeed, the earth is the biggest object and somehow contains the stars and sun and moon in it's sky, and not the other way around.
At the very least, we now know for a fact that earth is not spherical, and great minds should be working out some theories that support these yet-to-be-understood realities instead of the fantasies that are getting old.
In reality, radii does not apply. but in theoretical mind ^#$%ery a straight line has INFINITE radius!
(i will re-watch to see if there was practicality to giving a straight line infinite radii)
Sr Eugene hace unos videos expectaculares y las explicaciones muy claras y fáciles de entender. El mejor canal hasta la fecha.
Muchas gracias y siga con su gran trabajo de divulgación y enseñanza . GENIAL!
THIS VIDEO IS ONE OF THE MOST BEAUTIFUL PHYSICS VIDEOS I HAVE EVER WATCHED!!!
Thanks. I am glad you liked my video that much.
I KNEW MY MIND WOULD BE BLOWN ONCE YOU EXPLAINED SINGULARITIES AT THE VERY END
Thanks.
I travel a lot for work. I have spent many hours watching your videos, the perfect combination of entertaining and educational. Please keep making them, and I will look forward to more physics, math, Hungarian Rhapsody, and Kira! Thank you for the effort you put into these!
Thanks for the compliment. More videos are on the way.
@@EugeneKhutoryansky Thank you for the reply!
Ur channel is the best in the whole youtube
If other channels are galaxy of physics then as compare to them u r whole universe of physics💙
Thanks for that really great compliment.
I LOVE your videos. I always either learn something new or think of something in a different way
Thanks. I am glad you like my videos.
This is among one of the most profound RUclips videos on space time I've ever seen. (Able to understand )
Thanks.
Absolutely love your videos. Most of these are very difficult and abstract topics but your videos actually make them very understandable
Thanks. I am glad you like my videos.
Again, another one of your visual explanations blows my mind. I understand the math behind this, but in an abstract way. Seeing it visualized makes it orders of magnitude more intuitive.
Glad you liked my video. Thanks.
Please upload regularly because your videos are the only ones that doesn't require a lot of mind work to understand but just enough to make us think.
More videos are on their way. I make all the animations for my videos myself. In many cases, it takes me several months of work to create the animations for a single video, so please be patient.
Eugene, you are loved by many !
Views may be low, but you prudence high quality content! Don't stop making videos, this is literally my favorite channel on RUclips.
You ara about to hit 500k congratulations on that!
Thanks for the compliment. More videos are on the way.
Brilliantly explained, and expertly animated! Thank you! 👍🏼👍🏼👍🏼
Thanks for the compliments.
Чёрт, это так круто. Спасибо, я давно не удивлялась, какой красивой может быть математика.
Some may find the narration a bit soporific, but this is loaded with key information, and really clear animations of parallel transport of vectors. Thumbs up!
I love your videos! Also a great choice of music in the background!
Thanks.
It was a unique explain on Riemann curvature for understand the characteristic of our space -time fabrics universe..Thank you so much dear Eugene
Thanks.
Absolutely incredible animation and explanation
Thanks. I am glad you liked my explanation and my animation.
I really appreciate the way you teach something interesting by the help of animation, I m very thankful to your channel
Thanks. I am glad you like my videos.
Your narrator's voice and way of talking remind me of old Carrie Fisher interviews and speeches... I like it!
May the Force be negatively curved...
Thank you for giving us this knowledge
Thanks.
thank you for your videos.!!! They are so well made and with the right pause that allow you to understand complex issues simply
Thanks.
As the curvature of the tip of a cone is infinite, so is the satisfaction level of your videos figuratively.......
Thanks.
Love this, very well spoken.
Thanks.
Thank you so much for your videos! There are some concecpts of math and physics that i just fully understood trough you videos!
Thanks. I am glad you like my videos.
another major topic in geometry and physics...
Such an amazing video. Very well worked. Fine knowledge. Very good visual effects. Thank you!
Thanks for the compliments.
Beautiful explanation!!!
Thanks. I am glad you liked my explanation.
Man I'm love your videos... if I'll haved saw back in the college years ... should helped me a lot on that time... thanks
Thanks.
At 4:18 How do you say or with what respect do you see means how you are telling that, a particular vector has this direction of travel or that direction of travel ?
This was such an amazing explanation.
I am glad you liked my explanation. Thanks.
Keep sharing so others can also see these videos
This makes understanding a lot easier!
Thanks. I am glad you liked my video.
Wow! What a video and explanation, unbelievable 👍
Thanks. I am glad you liked my video and my explanation.
wow i love such videos where we can not only learn but enjoy too
Glad you enjoyed my video.
Thank you very much for your videos Eugene they help me stay motivated when it comes to learning
Thanks.
If someone could help me imagine how this translates to a 3D being going around a black hole singularity in 4D spacetime. Or in other words, how does this work in our universe?
Great video as always! Thanks for creating such awesome content :)
Instead of a regular sphere, you have a 4 dimensional hypersphere with time as the 4th dimension. Time gets stretched to infinity as well as the curvature of space the closer you get to a singularity. It's hard to visualize, but lookup Penrose diagrams and watch PBS spacetime for more examples.
In the 3-dimensional case of gravity, imagine a large lattice of dots representing points in 3D space. Now place a spherical object in the middle and imagine each point around it being pulled in from all sides. I think a black hole would just be a place where those points are really densely packed together so that all geodesics lead toward the center.
A hypercone seems to be a good representation of a black hole. The tip of the cone is in the center of the spherical cone.
thanks for the update Eugene, very cool
Like the Lizst playing in the background, the lesson starts easy and suddenly something's broke in your mind.
amazing content thank you for educating us Eugene!
God damn that made so much sense... Well done.... and thanks!
Thanks.
Спасибо огромное! Как всегда шикарная работа! Вы молодцы!
Спасибо.
Thanks for this video! As always: fantastic!
Glad you liked my video. Thanks.
@@EugeneKhutoryansky In fact, not just this one. All of your videos I have watched are wonderful! :D It is always nice to visualize the abstract mathematical concepts. Particularly when these have to do with geometry!!
Eugene, you are a TRUE artist. NFTs were meant for people like you!
I don't know what a NFT is, but thanks for the compliment.
@@EugeneKhutoryansky NFTs are a way of packaging and selling digital art. It's an easy and fast growing new industry... it may be worth your time to look into it... Best wishes!
Brilliant visualizations.
Thanks for the compliment.
your work is incredible! thank you for that
Thanks for the compliment. I am glad you like my videos.
Please do Differenttial Geometry videos!
Thank you for a good video. I have learned a lot from your videos.
Thanks. Glad my videos have been helpful.
YOU ARE MINDBLOWING !
Thanks.
This video is a treasure chest
Thanks.
4:56 - 5:07
why the arrow moves without changing its angle at top relative to the space. but when it goes at the bottom line of the rectangle it stays tangent to the surface?
Because the vector is following the rules of parallel transport, as described in 1:10 to 1:27. The flat surface tangent to the donut at any point on the top already contains the vector inside the flat surface, and hence the vector doesn't rotate.
I am jealos of your understanding. This is good for understanding rigidity, precession and inertia. TQ
You're propably one of the best channel on RUclips i really like your videos and your hard work put in it.could you please do video about quantum chromodynamics i still don't understands it well.
Thanks for the compliment. I already have a video about Quantum Chromodynamics at the following link. ruclips.net/video/FoR3hq5b5yE/видео.html
Always like your videos and thanks for it. Now they are Better without music.
This one has music.
@@Luisitococinero
I mean the 1st part...
Btw did u like it with music or witout music..
@@zakirreshi6737 I like it with music, but as long as it isn't noisy.
This is a excellent explanation, thank you.
Glad you liked my explanation. Thanks.
I'm totally Homer Simpson watching this. My doofus brain is so out of its depths, it can only think about pizza, donuts, and party hats.
Many thanks! I hadn't thought of adding a sector to a 2-d euclidean disk, to force it into a 'Pringle chip' (saddle-shaped) form. Very clear explanation and animation.
Thanks for the compliment. Glad you liked my animation and explanation.
Fantastic!I love your videos!!
Thanks. I am glad you like my videos.
Brilliant! I have only met the term ‘singularity’ before in the context of black holes. Does the concept of the Planck length, volume, etc. not remove the problems of infinite density, etc. at the centre of black holes? Sorry for the off-topic question, but it keeps me awake! Thanks for the video... ❤️👍🏻🇮🇪☘️
That is exactly what came into my mind. Officially a black hole is a hole in space-time and I woud tink of the tip of the cone is cut of tien jou have an hole with planck length radius and the singularity disappears.
Tink = think
.... Cut off then you have ....
Amazing content. 10/10
Thanks for the compliment.
“The angle of the section we add to the circle is exactly equal to the angle of the vector as it rotates around the surface”.
What does that mean? It looks like you’ve added a section to a flat circle- so it has no angle. Also what is the “angle”
Of the section with respect too?
Thankyou sir for your one more awesome video! Keep going!
Glad you liked my video. More videos are on their way. Thanks.
how does the two dimensional being know how much the orientation of their bearing vector changed as they walk in these loops ? Or rather how do they keep their orientation compass fixed as they walk in the loop.
does it mean that maybe event horizon be like mouth of volcano or not differentiable? does spaghettification happens or not inside or near it?
I love your videos. I do have a question. When approaching the speed of light, it take more energy to accelerate, such that it takes infinite energy to reach the speed of light. So the energy of acceleration in the direction of velocity takes exponentially more the faster you go. But what about slowing down? Say you are going 99.99999%c and you want to slow down. Would it take the inverse of the energy needed to accelerate in the direction of velocity? Or would it take the same energy to apply negative acceleration (opposite velocity) as it would to apply positive acceleration(in the direction of velocity)?
@Leo Yohansen thank you for taking the time to answer. I am confused by your answer. In the first part you say you need equal energy to slow down as you do to speed up. But in the second part you say there is a resistance one way and not the other, implying that there would be unequal amounts of energy.
@Leo Yohansen thank you for a wonderful explanation. It fits exactly how I envisioned the universe working and confirmed some suspicions I had about other aspects.
@Leo Yohansen not to mention they have experimentally proven that the acceleration of a rotating body has been shown to drag spacetime with it. This tells me that spacetime has almost what could be described as a viscosity against acceleration and velocity.
🌹Mam, can you please make a video on Schwarzschild metric and nature of different black hole.
I love to see all your videos and
they contain qualitative explaination with very simple and smarter approach to the concept.🌹🌹💕💕
and I have one question too
Can strong magnetic field bend the light?
Ajit, the Schwarzschild metric and black holes are on my list of topics for future videos. No, magnetic fields will not bend light because photons do not possess an electric charge. Thanks.
@@EugeneKhutoryansky what is the difference between magnetic and gravitational field
Interesting insight into singularity and infinite curvature and its relation to the geometry of genus 1 (loop quantum gravity).
Hello Sir.
All of your presentations/visualizations are the best out there.
Can you make a video about solid state relay and how it works?
Thank you Eugene
Thanks for the compliment. I plan to make a video about solid state physics (semiconductors). Thanks.
@@EugeneKhutoryansky Thank you.
Thank you Eugene. You are doing God's work, and I truly am in awe of your videos. All glory to the Creator!
Thanks for that really great compliment.
I love these videos!
Thanks. I am glad to hear that.
So why do moons/stars spin backwards creating an angular problem?
How we jump one curvature to another curvature. If there is singularity in other curvature how we
Make relationship.
stop, you are waking my mind
Do they can go that point? Or just near like black holes?
I gotta be honest the ending blew my mind
Couldnt the tip of the cone become hyperbolic space to accommodate the infinite curvature with no radius? Isnt that what everything is composed of and trying to accomplish?
Loved this. Nice gaussian k (diff geo) review
Glad you liked my video.
Does space have a physical structure? If yes, what is its microscopic structure? If no, how can nothingness curve?