Congratulations on 1 million subscribers! I love your videos, thank you so much!

@EugeneKhutoryansky

2 ай бұрын

Thanks!!!

@huailiulin

2 ай бұрын

40th like nevertheless i would also congratulate Eugene Khutoryansky on 1 million subs

I LOVE these damn videos. The voice audio, the animation and the classical music behind it all makes these videos so great!👍

@EugeneKhutoryansky

2 ай бұрын

Thanks for the compliments.

@godramen7104

2 ай бұрын

@@EugeneKhutoryansky You're welcome. Do a video about The Trammel Of Archimedes or maybe Chess physic, if there is any 🤣

@EugeneKhutoryansky

2 ай бұрын

I will add the Trammel Of Archimedes to my list of topics for future videos. Thanks.

@godramen7104

2 ай бұрын

@@EugeneKhutoryansky cool. You're welcome

Beautiful, now to watch it again and try to understand it beter!

Beautifully explained....

@EugeneKhutoryansky

2 ай бұрын

Thanks.

Probably on 4 Dimensions light would probably have a different effect as we know it in our 3D world.

@DrDeuteron

2 ай бұрын

True, 5 x 5 = 15 + 10 and 10 = 6 + 4, so you’d have a 4 component electric field vector and a 6 component magnetic field tensor. Idk what that would do.

I think my brain flipped hemispheres and turned upside down watching that video. Damn that was cool.

Toujours des vidéos de qualité. Merci infiniment pour le partage de vos connaissances avancées !

Fantastic video, as always!

@EugeneKhutoryansky

2 ай бұрын

Thanks.

These physics videos are as good as ever, and although with lights and shadows we understand them more from the perspective of geometry and mathematics, they still exist within a physical system and contribute a greater understanding to physics as a whole

mind blowing . yet simple .

@EugeneKhutoryansky

2 ай бұрын

Thanks.

Yayyy! Congrats for 1M Subscribers, keep growing. 🥳👍

@EugeneKhutoryansky

2 ай бұрын

Thanks!

Thanks for this new and thoughtful video. I have enough problems finding my parked car in 3D, how to find it in higher dimensional worlds?

Congratulations mam.I have no words remain to appreciate you.Thanks

@EugeneKhutoryansky

2 ай бұрын

Thanks.

@MarsandCars

2 ай бұрын

He she?

@EugeneKhutoryansky

2 ай бұрын

I am a male. The narration is done by my friend.

все замечательно, вопрос в том что двумерная тень от трехмерного объекта создается : избытком недостатком фотонов, а вот трёхмерная тень от четырехмерного объекта должна бы состоять из вещества и нарушать законы сохранения вещества локально в нашем пространстве тк геометрические размеры будут меняться. а значит либо это в нашем 3х мерном мире такое невозможно, либо должно приводить ко всяким сингулярностям... ? имхо

@gabrielalejandromarturano8761

2 ай бұрын

( испанский ) Coincido con tu observación . La luz ( y espero haber entendido bien tu razonamiento y si no fue así me disculpo ) solo tiene sentido en nuestra " caja " de universo de cuatro dimensiones . Y es que los fotones poseen la naturaleza que nosotros le otorgamos solo en nuestro universo . Existe un film basado en un libro escrito por un tal Edwin A. Abbott que explica la forma de persepción que tendrían criaturas de dos dimensiones de criaturas como nosotros . Pero volviendo a tu razonamiento solo utilizando matemáticas matriciales podríamos crear la naturaleza de estos rayos que causarían sombra en nuestro universo . Y no serían fotones . Si te atreves a crearlos nómbralos con tu apellido y avísame que quiero ser de los primeros en conocer un nuevo tipo de energía multidimensional .

As usual a great visualization, bridging the gap between the maths and how it would look like if it manifests right in front of you. I recently saw a an interview with a blind person, where they said that they have no idea about how to imagine visual perspective (i.e. far away things are smaller - but of course they know the concept and the geometry). I feel a bit like that person: Our image of the "real world" is shaped - and limited - by data from a set of optical sensors, that only detect a small range of the electromagnetic spectrum, and that's just 3D ... How does electromagnetism even propagate in 4 dimensions? Gotta look that up - thanks, Eugene ;)

@EugeneKhutoryansky

2 ай бұрын

I am glad you liked my video. Thanks.

It took a lot time to reach one million I have been waiting your videos since 2018 that time you had 300-400. K subscribers Congratulations This is one of my favourite physics channels love from India 🇮🇳 ❤

@EugeneKhutoryansky

2 ай бұрын

Thanks!!!

Here are my efforts and philosophy after a long search. I hope that appeal to you:) ●Since the first dimension is straight and we added another dimension next to it, with the condition that the two dimensions are orthogonal, the dimensions only intersect if the direction of the dimensions deviates. The point of intersection is of type 0D: So, the same applies to the second dimension, but the line of intersection is 1D, and the third dimension and the space of intersection in the other universe is 2D. Our universe may intersect with another universe in a specific location if the other universe moves in a curved field. - The 1D can be a straight curved line where its ends meet and form a circle, so it is 1D in a 2D form. The second dimension can intersect in all directions, taking the shape of a sphere, so it is 2D in a 3D form. The third dimension can intersect in all directions, taking the shape of a four-dimensional sphere, so it is 3D in a 4D form, where if you take a straight path in the universe, you will eventually return to your starting point, provided that the expansion of the universe stops. - There is a problem in understanding the nature of time. Time may form the fourth dimension, and perhaps there are not many universes. Each moment of time may represent an entire universe. So, the fourth dimension exists simultaneously in the past, present, and future. As we mentioned, the fourth dimension is composed of infinite sections of the third dimension. Time perfectly applies to it: Our universe is four-dimensional in a four-dimensional place, and we constantly move within it in a three-dimensional form. If time is understood as two-dimensional, the issue will be understood. The dimension outside our four-dimensional universe may be directly the fifth dimension.

@AndrewBrownK

2 ай бұрын

the way I think about time: We are not points in 4D spacetime, we are lines. There is no "going through time" there is only "existing at an angle with respect to time and space". And so therefore like you say, the past present and future have equal claim to "existence".

@hasanzurqa659

2 ай бұрын

@@AndrewBrownK Thank you for your thought-provoking perspective I'd like to connect and exchange ideas further. Let me know if you're open to it.

@BariumCobaltNitrog3n

2 ай бұрын

The 3 dimensions are perpendicular, physical measurements of real objects; length, width and height that can be changed and manipulated. Time is not a physical measurement of real objects and is not perpendicular to anything and can't be changed or manipulated. Time is an idea, a thought that we share that simply indicates we exist right now. It is always and only now, the present. The past and future do not exist in reality, but in our imagination. The problem in understanding the nature of time is thinking that it has dimension. That is further confused by the concept of measuring time in units. But time is not being measured, we are simply counting the ticks of a clock. No one invented the 3 dimensions, but we did invent time.

Classic channel.

@EugeneKhutoryansky

2 ай бұрын

Thanks.

A neat complement for the game 4D Golf that just released ❤

@NatsukiTakaama

2 ай бұрын

😰 No that is just fake. These kimd of things a causing problems in Japan.

@physicslover1950

2 ай бұрын

@@NatsukiTakaama What? Golf is causing problems in Japan? What do you mean?

@NatsukiTakaama

2 ай бұрын

@@physicslover1950 Leave it you will not understand.

Очень круто

YEY!!!!!!!!!! finally 1m subsss!!!!!!!!

@EugeneKhutoryansky

2 ай бұрын

Thanks!

I was hoping the part where you casted colored shadows in 3d space (2:00) would transition to doing somthing very similar in 4d space. Like you would see 3 4d shadows of cyan, magenta, and yellow. But either way, I enjoyed the video!

💐 BRAVO FROM JAPAN. YOU ARE GREAT. WELL I HAVE A QUESTION IF U DON'T MIND.

Only reason I'm here is to be dizzy.

@NatsukiTakaama

2 ай бұрын

🌟 So what.. We Japanese are facing so bad things these days. We need your help.

My brain : _good luck fam_

This makes me want to see this three-color shadow making in real life, just for the fun of seeing it in real life, as well as to demonstrate some of the same concepts. I'm sure some of the several channels I know of that are capable of doing the subject justice with real lights subscribe to your channel, and I'd love to see the cross-pollination of them doing such a demonstration, with attribution to you, of course.

@NatsukiTakaama

2 ай бұрын

Wow that's interesting.. What made you arrive at this prospective. Please tell me.. I wana know.

My mentor, congratulations for 1M subscribers. Your great work deserves this. I am so proud of you. Your illustrations have moved me to a great extent. Wilk you nake a video on physics and psychology. I wonder when you will make a video on Blandford Znajeck process.

@EugeneKhutoryansky

2 ай бұрын

Thanks for the compliments. I have the Blandford Znajeck process on my list of topics for future videos. I doubt I will make a video about physics and psychology, though I may mention psychology in a future video. Thanks.

Could you please tell me how big is the list of the topics for future videos? (Just curious to know)

@EugeneKhutoryansky

2 ай бұрын

I have about 400 topics on the list. Most of them I will never realistically make it to. Also, sometimes I end up making a video on a topic that isn't even on the list, such as this one. Thanks.

@physicslover1950

2 ай бұрын

@@EugeneKhutoryansky But I am impatient to see your video on gravitational waves. My mentor.

How could there be a 3-D shadow without a 3-D field upon which to cast it?

@EugeneKhutoryansky

2 ай бұрын

A 2D shadow is cast onto a 2D plane. For two dimensional beings living in that plane, that pane is the entire world to them. Similarly, a 3D shadow would be cast onto the 3D hyper-plane that is the entire world to us.

@jansenart0

2 ай бұрын

@@EugeneKhutoryansky Why is it called a "hyperplane" when it, being 1 dimension less than the dimension in which it exists, should be a "hypoplane"?

@EugeneKhutoryansky

2 ай бұрын

A hyperplane is a flat subspace whose dimension is one less than that of the ambient space.

@EugeneKhutoryansky

2 ай бұрын

It is called "hyper" because it is a generalization of a two-dimensional plane in three-dimensional space to mathematical spaces of arbitrary dimension.

Raises hand - "May I be excused, my brain hurts?"

This topic was mentioned in a science fiction novella called "Diamond dogs" by Alastair Reynolds

@NatsukiTakaama

2 ай бұрын

How do you know? How can it be authentic.

❤❤

Are atoms shadows of higher dimensional objects

Been trying to grasp quantum chromodynamics and this presentation seems to be deeper than it first appears. Now my poor head hurts and I need a nap.

@EugeneKhutoryansky

2 ай бұрын

I cover quantum chromodynamics in my video at kzread.info/dash/bejne/eKOGlcqqZcWbqag.html

I wish doom eternal could’ve made the list, but since Sifu and Sekiro did, I’m happy 😊

@NatsukiTakaama

2 ай бұрын

Glad to hear that.. But will you please take a look at me.

We are just learning about this in linear algebra 👍

@EugeneKhutoryansky

2 ай бұрын

I have a video on linear algebra at kzread.info/dash/bejne/e6abybGvf7bAopc.html

A "Weak Measurement" video will be highly valued. And "Measurement" - Not "Force"

Fantastic, but i feel after about minute four the plot fot lost

I REALLY hope AI watches your videos...and actually pays attention!

@NatsukiTakaama

2 ай бұрын

🍅So this is the magic word you need to search🔍. Start with "H", then 🅰️, put an ®️ after it, then ®️ again, put a "I" after it and ending the word with an "💲". Give a space Write 💲 then "U" followed by "L" then "T", put an "🅰️" after it and end the word with "N".

Why didn't you show an example of multiple lights in four dimensions?

@EugeneKhutoryansky

2 ай бұрын

They would just look like multiple copies of the shadows that I showed of the 4 dimensional objects, but each shadow would be a different color, like the shadows I showed of 3 dimensional objects.

@TacoDude314

2 ай бұрын

@@EugeneKhutoryansky Yes but from different perspectives. It seemed like the whole point of talking about different coloured lights in this video called "Multi-Dimensional Shadows" would be to show the 4D version. Good video though.

i accidentally learned subtractive color mixing from warching that spinning cone thing

@NatsukiTakaama

2 ай бұрын

🌟 PLEASE SAVE JAPAN FROM 👳🕌 PLEASE . OTHERWISE THESE PEOPLE WILL PULL THE WHOLE WORLD INTO DARK AGES.

I think where my brain short circuits is.. a 2D shadow is cast onto something. What is a 3D shadow cast onto?

@EugeneKhutoryansky

2 ай бұрын

A 2D shadow is cast onto a 2D plane. For two dimensional beings living in that plane, that pane is the entire world to them. Similarly, a 3D shadow would be cast onto the 3D hyper-plane that is the entire world to us.

On one hand, maybe it’s exceptionally hard to understand 4D objects because we keep using 2D screens to display them. On the other hand, our brains just aren’t built for 4D 🙂

If there were aliens trying to explain us complex subject - this would be a perfect disguise. I'm not saying its aliens, buuuuut... thanks for the video ;)

@EugeneKhutoryansky

2 ай бұрын

Thanks!

Even comparatively modern scientists and thinkers have relied on half-mythological, archetypal images when building up new con- cepts. In the 17th century, for instance, the absolute validity of the law of causality seemed “proved” to Rene Descartes “by the fact that God is immutable in His decisions and actions.” And the great German astronomer Johannes Kepler asserted that there are not more and not less than three dimensions of space on account of the Trinity.

@pedro_mab

2 ай бұрын

whatever you say

@yellow01umrella

2 ай бұрын

@@pedro_mab It's just facts

Congratulations dearest sir for 1 million subscribers.......I like your technological understanding mathods............❤❤I am From India 🇮🇳🫡❤️🌹

@EugeneKhutoryansky

2 ай бұрын

Thanks!!!

why is the extrapolation of 3d = 2d shadow, therefore 4d = 3d shadow made? a 2d object will not create a 1d shadow. so we aren't even creating a trend line from 2 datapoints. it's an extrapolation from precisely 1 datapoint. i assume there's a solid mathematical reason for it, since we cannot experimentally prove it. i just don't know what it is.

@EugeneKhutoryansky

2 ай бұрын

Actually, a 2D object would cast a 1D shadow.

@innertuber4049

2 ай бұрын

As for the mathematical reason, a shadow is a projection onto a dimension beneath the current one. We know this because when light hits an object, the object will block the path of any light traveling in a straight line through it. When you follow the paths of a group of lines, that's exactly what a projection is. The reason a 2D object has a 1D shadow is because we'd be forced to put the light source into the same plane as the 2D object. Thus, if we drew straight lines out from the shape where it blocks the light, it would just sketch out a 1-dimensional line on the nearest "wall" in our plane.

@innertuber4049

2 ай бұрын

A 1D object would similarly have a 0D shadow: if you looked at a line from within the line itself, all you'd see was a single point.

@bop9444

2 ай бұрын

A 2D object would cast a 1D shadow I think you are thinking of a 2D object in 3 dimensions like ours For example if you cast a light onto a 2D sheet of paper the shadow would be 2D But that is because the light and paper are in 3D

@innertuber4049

2 ай бұрын

@@bop9444 Well, a sheet of paper is not a 2D object. In order to simulate it being 2D, you would need to be shining your light from within the plane, or in other words holding the edge of the paper up to the light. This does indeed project a 1D line

Ok, so given that 3D shadows can't exist, does that prove that 4D structures can't exist?

@NatsukiTakaama

2 ай бұрын

😰 Please Save Japan. 😰

@turtletom8383

2 ай бұрын

You're a 3D shadow

@turtletom8383

2 ай бұрын

​@@NatsukiTakaama I'll try

Multispectral Four dimensional inverse tomography is not something I can do in my head.

5d objects create 4d shadow, 6d objects create a 5d shadow,…

@NatsukiTakaama

2 ай бұрын

You are right but what about Japan.

hi

Why not try to visualize shadows of some real 4D stuff? Like e.g. a year of Solar system.

There are no multidimensional shadows...by any means. There are only shadow changes in color and shape, that can be described with additional parameters (maybe sorted in multidimensional matrices). Pardon me...'just want to help with the confusion that discussions of this type cause with people who are lacking basic geometry and math knowledge. There may be multiple parameters in objects' physical appearances, but they are by no means space-dimensions as lots of wanabe scientists try to argue. As any position of any "molecule" of an object can be fully defined by X,Y and Z coordinates (please google "cartesian vs polar coordinates"). 3D printer, for instance, uses the "3D" in the name purely because it creates an object (as opposed to a picture of an object). However, there are quite a few parameters (that could be called dimensions in an analogue approach) that one can add in variable settings. Therefore, there are no multidimensional shadows. There are only shadow changes in color and shape, that can be described with additional parameters (maybe sorted in multidimensional matrices).

@EugeneKhutoryansky

2 ай бұрын

Mathematics can describe a world with 4 spatial dimensions, where 4D objects cast 3D shadows, even if such a world does not exist in reality.

@peta1001

2 ай бұрын

@@EugeneKhutoryansky If you allow that freedom of imagination, than the number of surreal dimensions is unlimited... Why stay on just 4 spatial dimensions? But I thought we talked about practical science and physics. I think it is safe to conclude that youtube points can overshadow any intellect.

@EugeneKhutoryansky

2 ай бұрын

I also do videos on pure mathematics. Yes, the number of dimensions we can have in mathematics is unlimited, as I stated in one of my earliest videos, titled "Drawing the 4th, 5th, 6th, and 7th dimension" at kzread.info/dash/bejne/g5N2l6mpo8W5gdo.html

If a 3D object always casts a 2D shadow, and that means that a 4D object casts a 3D shadow, does that also mean that a 2D object always casts a 1D shadow??

@b43xoit

2 ай бұрын

Yes. It's easy to draw that on paper.

@ibite100

2 ай бұрын

@@b43xoit take a sheet of paper. if the plane of the paper is the continuation of the ray of light than it's a 1D shadow indeed, but in any other case is 2D in my opinion, while a 3D object's shadow is always 2D in 3D. I think we need to define what shadow is.

@BariumCobaltNitrog3n

2 ай бұрын

Something with two dimensions would not be an object, it would be an image on a screen or page and would not cast a shadow. If you drew a square on paper, that would be 2D that depends on the paper to exist. It can't exist off the paper. It can't be lit off the paper.

First