Beauty of Geodesics

[@EugeneKhutoryansky]

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.

[@youssefbenmMorocco]

I hate the music with explanations in all your videos It is distrubing me making me nervous The musuc is loud and pass over the voice of speaker Excuse me but it is realy sh*t your videos are for sciences not videogames Do you want to send any subliminal's message with this music?!

[@halasimov1362]

But does the little car have to be a dymaxion?

[@ΠΡΟΔΡΟΜΟΣΠΑΠΑΔΟΠΟΥΛΟΣ-ζ9ρ]

Αεί Θεός Γεωμετρεί - Πλάτων

[@juanfelipezapataarenas3779]

I'm a physics student and I think you're doing an amazing job. This channel encourages me to learn animation and use them to explain physics just like you. Thank you!

[@EugeneKhutoryansky]

Thanks.

[@imdone8243]

Learn blender. Free 3d modeling, animation and etc software. It's amazing

[@dingdong475]

What programs would be good for learning how to animate?

[@imdone8243]

@@dingdong475 blender it's free. I repeat myself

[@dingdong475]

@@imdone8243 yes but i thought maybe something new may have come up since you last posted.

[@wangkevin3431]

1:04 me when i see Eugene posted a new video

[@cancel1913]

Same happens to me! LOL

[@ashwinjain5566]

lmaooo

[@DecemberGalaxy0]

uhhh that umm ok...next comment

[@no_name2574]

Lol, true

[@pronounjow]

#ohgodwhy

[@-_Nuke_-]

9:29 Newton was the genius that explained why things fall And Einstein the genius that explained why they don't!

[@feynstein1004]

You sir, have won the internet

[@rokus1145]

@@feynstein1004 I'll take overly used statements for 200$

[@canyadigit6274]

NUKE things still do fall, the REASON why is different

[@yushothu201]

@@-_Nuke_- I hope you didn't type all that out...

[@-_Nuke_-]

@@canyadigit6274 Motion is relative... From the perspective of the fallen object, the entire Earth is rushing up and hitting it and from the perspective of the Earth, the falling object is moving towards the ground and hitting the Earth... No reference frame is more true; than the other. Let me ask you this: Say you are inside a rotating room (an empty room with no windows or doors that just rotates around its central axes) Now inside that room you find a tennis ball. You pick it up and you throw it to the opposite wall, what would happen? Will the tennis ball go straight and hit the wall in front of you (since you threw it straight) or will it take a 90 degrees curved path to the right and hit the wall to your right? (or left depending on how the room is turning...) The answer is the latter. The tennis ball will take a curved trajectory and it will not go straight. And you might ask: "why does the tennis ball go to the right when I'm throwing it straight?" That's of course a bad question, because the tennis ball IS NOT actually taking a curved path, its YOU inside the room that is, that see the tennis ball take that curved path! The tennis ball was always going straight, it's only your own motion that made it look like it was curving. Like here: kzbin.info/www/bejne/mHvCpJiOpJJ4pMU Now imagine the same idea but with "gravity" and in 4 intrinsically curved dimensions of spacetime and that motion that you have (the one that is equivalent with the motion of the room spinning) is in TIME and not in space! Imagine all of that and you have Einstein's picture of "gravity" and you also have the answer to why Einstein considered this his greatest thought: "A man in freefall will not feel his own weight" No, objects in free fall are not falling, they are not moving in space because there are no forces acting on them at all. The reason why we *see* them fall, is because we exist inside a curved spacetime but we "don't know it", our senses "don't know it" and they in fact interpret our curved minkowski spacetime as a non curved euclidean spacetime. The only way for a human to see reality as it really is, is to go somewhere, where spacetime isn't curved. And we have such a place, it's called "outer space" away from any Star or other Planet sized massive object. There spacetime has a very low curvature, and there, when you let something fall you can clearly see that is not moving in space. Here on Earth is still not moving in space, but our senses by interpreting this world as an euclidean one, (and not as a mikowsky curved one as they should) see the object fall when in fact it's not falling. kzbin.info/www/bejne/h6rId2CVhrWGmM0 :)

[@Invictus_Mithra]

Me after watching this video: what is straight????

[@PhillipAmthor]

Great now youre gay because of mathemathics

[@tasertag7513]

Now all straight lines will rotate infinitely.

[@thstroyur]

"Straight" is an _ad hoc_ qualification that you have to specify when doing differential geometry; e.g., if you're doing the ordinary Euclidian geometry, two "straight" lines are "parallel" if they conform to Euclid's fifth postulate, and vice-versa...

[@अण्वायुवरीवर्त]

@@PhillipAmthor Nah you may look gay but you are actually straight. This is what geodesics tell u, BRIGHTSIDE.

[@ishworshrestha3559]

Yui

[@kathleennorton6108]

Interesting learning style, repeating things twice, not too quickly, and in the exact same way. Is there a name for that?

[@clearz3600]

Also known as the deja-vu method. I agree it draws you in.

[@randomdude9135]

@@clearz3600 😂

[@numspacsym]

Interesting learning style, repeating things twice, not too quickly, and in the exact same way. Is there a name for that?

[@kathleennorton6108]

@@numspacsym ha ha

[@byronvega8298]

@@sciencemathematics I found that very funny 😂

[@nemo2803]

6:20 cheerful music plays as innocent geodesics spiral towards their doom

[@shponglechunch]

Never to be heard from again!!

[@अण्वायुवरीवर्त]

I really got goosebumps

[@BedivereD]

That reminded me to the End of Evangelion 👏

[@gabrialtome4478]

A Geodeasid Me: Don’t do it Geodesic: I will do it it’s out there in the center? Die: because this is a 2d black hole

[@ishworshrestha3559]

Hmm

[@dustinsmith8341]

"Special considerations must be taken when applying this concept to the higher fourth dimensional space-time of general relativity and this will discussed later in the video" *is only a 10 minute video* It's gonna be a good one.

[@shubhambhargava3947]

I love this channel ❤️ !!! Finally we get something after a long time !! The presentation and animation is beautiful.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@EffySalcedo]

Ikr

[@maunil108]

So nice . Please keep making these videos.

[@EugeneKhutoryansky]

More videos are on their way. Thanks.

[@yamansanghavi]

Wow. Just wow. This was something I always wanted to visualize. Thank you so much. I love all of your videos.

[@EugeneKhutoryansky]

Thanks. I am glad you enjoy my videos.

[@cuamanhong2719]

I still like this even though I don't understand a single thing.

[@mkilptrick]

Cua Manh Dong....Yep. Same here. Probably have to watch it a few times.

[@fearplanet7076]

@Mondo Duke it's hard when u don't know english and there's not subs in your lenguage ;P

[@ASOUE]

Must be a smart 6 year old. Let’s try and not shame people for learning at different speeds, or having a less comprehensive background

[@weskerrongkaima1173]

@@ASOUE you are the man

[@Billente]

@Maselek wha?

[@MrWnw]

8:21 The car's Vehicle registration plate! :DD

[@VishalSharma-ws3jx]

me *having an exam on kinematics* also me *writing about geodesics in that exam*

[@cameronspalding9792]

Finding a geodesic is equivalent to finding a path where the potential is zero

[@darkseid856]

@@cameronspalding9792 but if it's a *path* then shouldn't it be POTENTIAL DIFFERENCE ? Or am I wrong somewhere ?

[@cameronspalding9792]

The Dark Knight when the potential is zero: the only force present is the force normal to the surface: this doesn’t affect the Kinetic Energy hence the Kinetic energy remains constant: hence the speed remains constant

[@ishworshrestha3559]

@ ol

[@YYHoe]

6:20 That's how a black hole "sucks" in light.

[@hinkles73]

9:00: The tea level of my teapot after I spill the tea in astonishment after hearing the beautiful music in one of your videos...

[@theultimatereductionist7592]

I've tried for months to compute the geodesics on a general ellipsoide (x/a)^2 + (y/b)^2 + (z/c)^2 =1 with a b c all different between 2 arbitrary generic points. Your animation shows the geodesic to wrap multiple times around. I had not considered that.

[@BrazilianImperialist]

Nerd

[@Triszious]

"Gravitational Time Dilation casues Gravitational Attraction." Is it one causes the other, or is there some sort of duality?

[@Mr.Not_Sure]

Former is a fundamental fact. Latter is its consequence, and basically an "illusion".

[@Cosmalano]

Gravitational time dilation tells you that distant frames in a gravitational field will begin to appear to move relative to you (they will accelerate relative to you) because rather than moving entirely in the time direction through spacetime, they will lose some of their 4-velocity in the time direction, relative to you, and transfer that 4-velocity to a spatial direction, this all appearing to you as a gravitational force pulling these object through space, and slowing them down in time.

[@pukkandan]

Since both happen simultaneously, it is not entirely accurate to say that one causes the other. It might be more accurate to say that gravitational attraction CAN be explained using time dilation. It may be possible to do the reverse, but we do not know of any such way. So in the models that we have built, it appears that time dilation is more fundamental. But, there might be other viable theories (which we don't know of) that could explain time dilation as a consequence of gravity. Or maybe, both are emergent from something else entirely.

[@darkseid856]

@@Mr.Not_Sure so it means time dilation is an effect ? Sorry but I didn't really understand your comment ....

[@Mr.Not_Sure]

@@darkseid856 Watch this short video as a first step: kzbin.info/www/bejne/nZTZomR6drJgeqc

[@greenpeppermint7518]

0:37 Oh yes it is only deflected by a small amount I totally don’t see two angles opposite of each other Ps 5:54 The reason why they end up converging and diverging because one is positively curve and one is negatively curved.

[@EffySalcedo]

I 💖 this channel. The presentation is so effortless 🌸

[@EugeneKhutoryansky]

Thanks.

[@jordivilaioliveras]

Certainly you have the rare gift to help visualize some of the most complex theories of modern physics in an easy way. Thanks Eugene, thanks Kira.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@paulschrum4727]

This video helped me adjust my understanding of geodesics. Without saying what I had wrong, I had them wrong. Thank you.

[@EugeneKhutoryansky]

I am glad my video was helpful. Thanks.

[@et7992]

"Vegan for Animals"

[@shirshak6738]

beauty of ethics and morality

[@imgayasheck595]

Go vegan

[@wizard1370]

😂😂😂😂😂

[@jayknowles2146]

8:18

[@marshmelows]

"Meat-eater for Plants"

[@HundredMillionViews]

We will never forget you, brown geodesic spiraling to -infinity 😭

[@darkseid856]

Change your perspective and you will see it tending to positive infinity ;)

[@pointlesslylukesplainingpo1200]

@@darkseid856 U are mr gay

[@zecuse]

Was that suppose to be a metaphor for...

[@hieudang1789]

@@pointlesslylukesplainingpo1200 super mario galaxy?

[@aniruddhachakrabortyindia]

I loved how the car number plate contained a powerful message!!

[@mariosumilang7556]

2:25 that is really trippy

[@prakharpandey2392]

Wow. Just wow. I had a hard time understanding this way of thinking. Now I do. Thank you.

[@EugeneKhutoryansky]

Glad my video was helpful. Thanks.

[@gustavo2113]

Eugene Khutoryansky, we want to know more about you. Please give some information about where you seek your knowledge! Are you a professor? Do you own a degree? What do you do for a living? Very curious fan here just wondering

[@wangkevin3431]

I think he got his masters/PhD in the 80s

[@shirshak6738]

he is professor from Texas. The narrator is Kira. He is inspiration.

[@EugeneKhutoryansky]

Shirshak, actually I am not a professor. But I do live in Houston, Texas. And yes, Kira is the Narrator.

[@EugeneKhutoryansky]

Wang Kevin, I am not that old. I was born in 1975.

[@EugeneKhutoryansky]

Gustovo, I would prefer not to go into personal details about myself on my KZbin channel, at least not yet. Though, it is not much of a secret, if you Google my name...

[@flurng]

Another FANTASTIC video! What blows my mind is the animation starting at 3:45 - by the end, all the geodesics looks remarkably like the valence electron shell of an atom! Co-incidence?......

[@RedFox-dj7di]

6:16 I think that sheet can imagined as a distortion in Space created by black hole and that lines as a light And I think this explain why light cannot escape from black hole but some of them can escape after spinning around it ?? *IDK I am right or wrong ?*

[@gaelfortier2668]

I though the same thing

[@imdone8243]

Eh sure. Also as Earth and etc..

[@abdullahx8118]

We have hope of survival just be green

[@imdone8243]

@@abdullahx8118 eww no. I wanna be blue

[@danielsayre3385]

Imagine if you had to observe physics from a two dimensional plane. I feel like that's what's going on with black holes from our dimensional perspective. There's a direction we just don't understand 🤷‍♂️

[@niranjansrinivasan4042]

You are doing a great job in explaining the physical meaning of concepts in physics Thank you so much for it !

[@EugeneKhutoryansky]

Thanks.

[@greenpeppermint7518]

6:30 Yay geodesics spiral inwards towards the singularity never to be heard from again how lovely.Also rip Brown and green geodesics you will never be forgotten

[@wizard1370]

Mind-blowing, I also love your background music as well.

[@Bankoru]

This town is a part of us all. A part of us all. A part of us all!

[@dingdong475]

Stranger things?

[@xxphoenixx8398]

This channel is really great! The explanation is really dynamic with the use of animation and calm explanation....Thank you for the good work and effort!

[@EugeneKhutoryansky]

Thanks. Glad you liked my video.

[@tooljockey2777]

vegan for animals is on the license plate of the car lol 8:19

[@Lucky10279]

Your videos are so calming. The music fits perfectly with the amazing animations. And your voice is also calming. You'd think that would make the videos less interesting, but it really doesn't. It makes them a good way to get in a good mood while learning about math and physics.

[@railizrail1803]

I actually misread the title as "the beauty of genocides"

[@DiamondTurtleGamer]

*turkey and Armenia would like to know your location*

[@halasimov1362]

Wait is this KZbin or Bitchute?

[@admiralhyperspace0015]

Me too 🤣

[@ANDROIDPOSTMORTEM]

😂🤣

[@thedoublehelix5661]

o.O

[@armanddebruijn9718]

this is how electrons move and different charges affect the shape of the surface, of course as a distribution. 6:58 especially attracted my attention

[@BrandonCuringtonOfficial]

6:17 this actually reminds me of Junji Ito’s Uzumaki manga. The whole plot of the manga revolves around this concept, especially around the ending.

[@ninetailedbrat]

I dont get it

[@coldassassin6615]

I do like these videos, but personally I think they'd be better with a bit less 'down time' and, relevant to this video, not repeating the same sentences, I feel if someone doesn't understanding something there's always the rewind button, but if you skip forward you might miss something. Thankyou for making these videos though! They really do help make more tricky concepts easier to grasp!

[@adamseekermurtid5658]

Welcome back!!!

[@HuiWang-j9s]

Your channel is SO AWESOME.

[@EugeneKhutoryansky]

Thanks.

[@abhishekshah11]

Einstein would feel proud watching this production. Great music. Great content.

[@eduadelarosa]

The beauty of “vegan for animals”. lol

[@official-obama]

Car’s license plate on the back.

[@MinhDangBusiness]

So, a geodesic is a locally shortest path between two points-in other words, the shortest path relative to curved surfaces-but not all geodesics are equally short, right? Thank you for the amazing animation!

[@ArticAirborneFO11]

These videos need more SLAYER, then they would perfect! ☺️

[@Seifer720]

*why am I into this stuff-*

[@ShredEngineerPhD]

9:10 I REALLY wish I would've known this before. Thank you!

[@tim40gabby25]

Missed short putt explained, right there :)

[@Maisonier]

I'd love to know how this applies to lenses and photons

[@zh9664]

Watch code parades videos on it, its astounding

[@rektralph6778]

I find this absolutely fascinating.

[@galvinvoltag]

Oh my God! Look what I just found! When looked from directly above, the arrows look like they are moving slower as they get closer to the center of the hill, as if they are affected by a gravitational time dilation!!!

[@oussamabelqsir]

6:20 i believe it's a good model of the event horizon, the light that managed to escape from the gravity, and also the light that was kept inside the black hole.

[@michaeljordan4457]

Black holes described around 7 minutes, without realizing it

[@kyratkumgern7565]

also we can escape black holes lol

[@efraimcardona8452]

May God give you what we humans cannot compensate. Beautiful video as always.

[@EugeneKhutoryansky]

Thanks.

[@juanitocobrarex]

imagine the geodesics on a klein bottle

[@antoberg]

Never heard an english that clear and understandable, great job

[@ArtisanTony]

6:51 how some information gets lost and other gets freed from a black hole :)

[@satvikvarun6386]

*PLEASE NEVER STOP POSTING VIDEOS* 🥰

[@EugeneKhutoryansky]

More videos are on their way. Thanks.

[@satvikvarun6386]

@@EugeneKhutoryansky THANK YOUUU

[@ssifr3331]

IIRC there was a plan to build a conical building and a similar video like this was used to show the danger of the wind, I'm not sure though. I can't even remember what building it was.

[@plaustrarius]

Very happy I subscribed!

[@EugeneKhutoryansky]

I am happy you subscribed too.

[@AJ-et3vf]

Awesome video! Thank you!

[@EugeneKhutoryansky]

I am glad you liked my video. Thanks.

[@jaime4290]

I love how the music makes me feel like I'm in kindergarten again. That's not a bad thing- the wonder and beauty of a child's perspective is amazing. Was this on purpose or coincidental? Great job on the video, it helped me understand geodesics much easier.

[@EugeneKhutoryansky]

I am glad you liked my video. Thanks.

[@ZombieSS77]

When talking about General Relativity with people I've explained that the curved time component is what explains gravity. Everyone thinks I'm the crazy one LOL. Thanks for making this video, it's such a great explanation. Understand concept first, then it's pretty easy to grasp what the math is doing because it's no longer abstract!

[@EugeneKhutoryansky]

Thanks.

[@thevegg3275]

Is there an easier way to find a geodesic on a sphere? Place two points anywhere on a sphere. Using these any-two points you can define a great circle. Useing this great circle, define a cross-section. Viewing this cross-section you will see the two points between which you can trace a curve (following the outer edge of the sphere). And using the length of a curve formula you will determine the shortest distance and straightest path between these two points. No need for a metric tensor or Christoffel symbols. Thoughts?

[@jasonsoto5273]

This video really made the concept click. Thank you!

[@EugeneKhutoryansky]

Thanks.

[@saeadabdoli]

Thank you Eugene Khutoryansky. God bless you. Hope God will accept your generosity in spreading science

[@EugeneKhutoryansky]

Thanks.

[@alexneigh7089]

The way of black holes and expanding universe in 4 (or more?) dimensions.

[@HighEX-ww7sx]

The missile knows where it is because the missile knows where it isn't.

[@tseckwr3783]

Absolutely amazing. Thanks for your hard work on this channel!!

[@EugeneKhutoryansky]

Thanks.

[@monochromeart7311]

My head hurts looking at the animation.... Now I understand how Aqua feels when trying to do anything.

[@grisus7254]

That tea pot was mind bending

[@kconway96]

This was great! Reminds me of a book that introduced this topic talking about ants on an apple, how they can go straight in different directions and still meet up. Also, what kind of differential equations can model these paths?

[@odyseuszkoskiniotis6266]

Very informative video. I think I learned so much, I don't even remember what this video taught.

[@Bit-while_going]

Straight line: the geodesic which lies on a flat plane. Straight line time: The measurement of the motion of an object or entity along this straight line. Cyclical time: time which measures motion along the surface of a discrete object.

[@sseymour1978]

Very beautiful video. Very beautiful video. Very beautiful video.

[@EugeneKhutoryansky]

Thanks.

[@pratibhamaurya9280]

Amazing animation I have no words to appreciate uh Thanks for the video

[@EugeneKhutoryansky]

Thanks for the compliments.

[@Kuribohdudalala]

Helped make sense of my differential geometry tutorial, thanks!

[@chintachinakoteswararao2897]

This is more than a beauty

[@EugeneKhutoryansky]

Thanks.

[@yarooborkowski5999]

Great. Could You now connect this with general Relativity? And show how planets are moving in spacetime or even only in space?

[@sanjitdas5418]

After seeing this video I didn't think twice., I am a subscriber now....

[@EugeneKhutoryansky]

Glad to have you as a subscriber.

[@constpegasus]

Thank you for these videos Eugene.☺👍

[@EugeneKhutoryansky]

Thanks. I am glad you like my videos.

[@animexedits4292]

Eugene I watch videos and it's very informative no one has explained physics so deep and with such animation but the thing I think you should work is your narration most of your videos are of 20+ mins people like videos of relatively short duration this can really boost up your channel you can even make the videos part by part anyways best of luck and thanks for making such wonderful videos

[@gauravjoshi6725]

Wow! Beautiful work

[@EugeneKhutoryansky]

Thanks for the compliment.

[@atomspalter2090]

I live the animations

[@mixolydian2010]

Wonderful beautiful graphics.

[@EugeneKhutoryansky]

Thanks for the compliment.

[@mixolydian2010]

@@EugeneKhutoryansky love what you do really makes it easier for me get a perspective, as I am more of a visual thinker. Cheers

[@balasundar7376]

Thank you so much I've been trying to sleep for a long time 😂

[@kevinhayes6057]

I'm a bit late for comments, I would love if you would continue the explanation of the geometry of modern physics In my opinion, it is often the an overlooked yet a very important part of the deeper understanding of these phenomena especially in introductory courses in modern physics

[@cript3232]

Another great vid.

[@EugeneKhutoryansky]

Thanks.

[@kevinhebertpero5342]

Great work Eugene! Thank youso much! Keep it up!

[@EugeneKhutoryansky]

Glad you liked my video. Thanks.

[@MinhDangBusiness]

Are you saying that when you mention that a geodesic is not always the shortest path between two points, you mean this: for example, if I start from point A in different directions, and if two geodesics intersect at any point, then when I consider that intersection point as point B, in this case, there is a shorter geodesic distance between A and B. So, in principle, it doesn't exactly align with the principle of stationary action?

Beautiful animation.

[@EugeneKhutoryansky]

Thanks.

Physics Videos by Eugene Khutoryansky I do the same kind of animation. I know the amount of time required to reach this level of fluidity.

[@DXDragon38]

Thank you, this explained it rather well!

[@EugeneKhutoryansky]

Thanks. I am glad you liked my explanation.

[@raffaelepiccini3405]

At 1:35 you basically show how geodesics become chaotic when the curvature is big enough.. does this mean that when falling in a black hole (following a very bended spacetime geodesic) that would be chaotic too? Does that mean you are basically disintegrated because pieces of your body very close to eachother get send in completelly different paths?

[@sidharthapatnaik5146]

You are an incredible person.... Lots of love from me... 🖖

[@EugeneKhutoryansky]

Thanks.

[@xanamata5386]

you have to calculate the reflection of time to the opposite of space ,when you considering the time-space as one dimension .

[@abtix]

Genuine question, How do we use this information in real life? Where does this knowledge apply in our world

[@thecrazykartbyAJ]

What is the name of the song? Thank you and thank you for uploading such interesting stuff.

[@EugeneKhutoryansky]

All the music in this video is from the free KZbin audio library, and the names of the songs are the following. Wigs Clouds Wedding_Invitation Road_to_Moscow

[@AfeMar1221]

Which software used for 3d animation ? Please some one help me

[@EugeneKhutoryansky]

I make my 3D animations with "Poser", but I had to write my own program to calculate the paths of the Geodesics.