Rojo: Ooh! ok, now I'm getting excited about the idea of a low-resolution hologram... I'm thinking it might end up distorting the image in really interesting ways, but even if it's just like looking at a 144p version of a 3D object in person, that would look so surreal and cool!(00:33:34 - 00:46:24) - How are holograms possible?

Rojo: Ooh! ok, now I'm getting excited about the idea of a low-resolution hologram... I'm thinking it might end up distorting the image in really interesting ways, but even if it's just like looking at a 144p version of a 3D object in person, that would look so surreal and cool!(00:33:34 - 00:46:24)
How are holograms possible?

3d scenes on 2d film, and a diffraction lesson along the way.
Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support
An equally valuable form of support is to share the videos.

Hologram credits:
The Microscope is by Walter Spierings, 1984
Donations H...
3d scenes on 2d film, and a diffraction lesson along the way.
Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support
An equally valuable form of support is to share the videos.

Hologram credits:
The Microscope is by Walter Spierings, 1984
Donations Hologram by Cherry Optical Holography
Lucy in a Tin Hat is by Patrick Keown Boyd, 1988
The Star Wars-themed Direct-Write Digital Holograms were produced by Zebra Imaging.
The 'Shakespeare' embossed animated integral hologram was made by Applied Holographics.

Walter Spierings, who did the microscope, is from Dutch Holographic Laboratory. He wanted me to let you know that anyone should feel free to approach them when it comes to producing holograms, they do a lot of innovative things with the medium: www.holoprint.com

Thanks to everyone who helped with this project:
Paul Dancstep, for help writing, and for all the 3d modeling
Craig Newswanger and Sally Weber, for making the central hologram shown
Kurt Bruns, for the artwork of Dennis Gabor
Phoebe Tooke, Wayne Grim, and Rick Danielson, for filming at the exploratorium
Quinn Brodsky and Mithuna Yoganathan, for footage of lasers through diffraction gratings
Vince Rubinetti, for writing the music
Cliff Stoll for the Klein Bottle

Small correction: After the algebra in the end, I say "We don't even make assumptions about R", but that's not quite true. To treat |R^2| as some scaling factor in the expression |R^2| * O, it matters that the amplitude of R is approximately constant around a given point.

Gabor's Nobel Prize lecture:
https://www.nobelprize.org/uploads/2018/06/gabor-lecture.pdf

A few resources we found helpful for this video
Seeing the Light, by Falk, Brill, and Stork
https://amzn.to/3Ngdiqh

Practical Holography, by Saxby and Zarcharovas
https://amzn.to/3ZR2MNN

Principles of Holography by Howard Smith
https://amzn.to/3ZOihFZ

Timestamps
0:00 - What is a Hologram?
3:28 - The recording process
11:45 - The simplest hologram
17:12 - Diffraction gratings
25:15 - Reconstructing the simplest hologram
28:24 - Conjugate image
31:11 - More complex scenes
35:58 - The bigger picture of holography
38:27 - The formal explanation

SEV1: https://youtu.be/iBYotKfYRQ0
------------------

These animations are largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/

All code for specific videos is visible here:
https://github.com/3b1b/videos/

The music is by Vincent Rubinetti.
https://www.vincentrubinetti.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

------------------

3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.

Mailing list: https://3blue1brown.substack.com
Twitter:
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Reddit: https://www.reddit.com/r/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Website: https://www.3blue1brown.com
- What is a Hologram? - How are holograms possible?

- What is a Hologram?

How are holograms possible?
2024年10月06日 
00:00:00 - 00:03:28
Manim has gotten really advanced, this is so life-like! - How are holograms possible?

Manim has gotten really advanced, this is so life-like!

How are holograms possible?
2024年10月06日  @RyanLynch1 様 
00:00:00 - 00:46:24
The first person to watch television - How are holograms possible?

The first person to watch television

How are holograms possible?
2024年10月06日  @tumbleweb 様 
00:00:32 - 00:46:24
this is how consciousness works. It’s just an illusion. - How are holograms possible?

this is how consciousness works. It’s just an illusion.

How are holograms possible?
2024年10月06日  @turnt0ff 様 
00:00:40 - 00:46:24
are those your arms at  ? do you have a license for those? - How are holograms possible?

are those your arms at ? do you have a license for those?

How are holograms possible?
2024年10月06日  @pino6144 様 
00:00:44 - 00:46:24
*I was like WOUAAAH😱 for the 'seeing through microscope' one.* - How are holograms possible?

*I was like WOUAAAH😱 for the 'seeing through microscope' one.*

How are holograms possible?
2024年10月06日  @kameleonyaya8803 様 
00:00:57 - 00:46:24
Missed opportunity to have the same image there - How are holograms possible?

Missed opportunity to have the same image there

How are holograms possible?
2024年10月06日  @fg786 様 
00:01:00 - 00:46:24
is pur-fict - How are holograms possible?

is pur-fict

How are holograms possible?
2024年10月06日  @AJ-on2hf 様 
00:01:00 - 00:46:24
"I want you to take a moment to reflect"pun inteneded? - How are holograms possible?

"I want you to take a moment to reflect"pun inteneded?

How are holograms possible?
2024年10月06日  @josephbevan1036 様 
00:01:04 - 00:46:24
ok i need a moment before finishing this, the looking inside the microscope broke me a little bit, just a second, i'll brb to finish up. - How are holograms possible?

ok i need a moment before finishing this, the looking inside the microscope broke me a little bit, just a second, i'll brb to finish up.

How are holograms possible?
2024年10月06日  @BleachWizz 様 
00:01:10 - 00:46:24
Holograms (like this one) were very common at exhibits and science museums in the 1970s but have now vanished almost completely. Younger people have never seen one and assume "hologram" means those rainbow stickers on credit cards etc. - How are holograms possible?

Holograms (like this one) were very common at exhibits and science museums in the 1970s but have now vanished almost completely. Younger people have never seen one and assume "hologram" means those rainbow stickers on credit cards etc.

How are holograms possible?
2024年10月06日  @JanPBtest 様 
00:01:42 - 00:46:24
that’s at the Exploratorium and everyone always misses it! I’m always so fascinated by it - How are holograms possible?

that’s at the Exploratorium and everyone always misses it! I’m always so fascinated by it

How are holograms possible?
2024年10月06日  @_aft 様 
00:02:03 - 00:46:24
YOUR HOLOGRAM STUMBLED INTO MY APARTMENT 😭😭😭 - How are holograms possible?

YOUR HOLOGRAM STUMBLED INTO MY APARTMENT 😭😭😭

How are holograms possible?
2024年10月06日  @thats_so_laven 様 
00:03:20 - 00:46:24
Omg the Taylor Swift reference at  ... "Your hologram stumbled into my apartment, hands in the hair of somebody in darkness named Chloe or Sam or Sophia or Marcus" - How are holograms possible?

Omg the Taylor Swift reference at ... "Your hologram stumbled into my apartment, hands in the hair of somebody in darkness named Chloe or Sam or Sophia or Marcus"

How are holograms possible?
2024年10月06日  @CarterPatterson1228 様 
00:03:25 - 00:46:24
the Taylor Swift reference made me smile soo wideee - How are holograms possible?

the Taylor Swift reference made me smile soo wideee

How are holograms possible?
2024年10月06日  @nabeehakappan 様 
00:03:25 - 00:46:24
- The recording process - How are holograms possible?

- The recording process

How are holograms possible?
2024年10月06日 
00:03:28 - 00:11:45
is a very important frame to view. LOOK AT THAT GRUMPY CAT 😾 🐈 😻 🐈‍⬛️ 🤣 ❤❤❤❤ - How are holograms possible?

is a very important frame to view. LOOK AT THAT GRUMPY CAT 😾 🐈 😻 🐈‍⬛️ 🤣 ❤❤❤❤

How are holograms possible?
2024年10月06日  @theplaylab9336 様 
00:03:38 - 00:46:24
The first cat is shown at - How are holograms possible?

The first cat is shown at

How are holograms possible?
2024年10月06日  @Skivv5 様 
00:03:39 - 00:46:24
at - How are holograms possible?

at

How are holograms possible?
2024年10月06日  @forzatoro89 様 
00:04:00 - 00:46:24
: I knew it! When I first learned about how cameras work, and that the tinyness of the hole is necessary to get things sharp and not overlap things, I thought how much information is lost by that. And it works out right: In all that overlapping light are encoded so many different perspectives, you just have to record and recreate it in the right way. - How are holograms possible?

: I knew it! When I first learned about how cameras work, and that the tinyness of the hole is necessary to get things sharp and not overlap things, I thought how much information is lost by that. And it works out right: In all that overlapping light are encoded so many different perspectives, you just have to record and recreate it in the right way.

How are holograms possible?
2024年10月06日  @IroAppe 様 
00:04:02 - 00:46:24
I’m gonna guess have two waves form a different distance of (coherent) equal phase to see if they constructively interfere or destructively interfere - How are holograms possible?

I’m gonna guess have two waves form a different distance of (coherent) equal phase to see if they constructively interfere or destructively interfere

How are holograms possible?
2024年10月06日  @Aurora_Animates 様 
00:06:45 - 00:46:24
I love that you have faith in me but brother I ain’t that smart. - How are holograms possible?

I love that you have faith in me but brother I ain’t that smart.

How are holograms possible?
2024年10月06日  @laggypirates 様 
00:06:50 - 00:46:24
yup you took the words right outta my mouth there. - How are holograms possible?

yup you took the words right outta my mouth there.

How are holograms possible?
2024年10月06日  @lyngsoee03 様 
00:06:59 - 00:46:24
it might not be clear for most people why recording the phase of the light wave is relevant to record a 3d image on a 2d plane, but, being a physicist I will give a shot before watching the rest of the video.A point in a 3d object reflects light in all directions, so the light from that single point will essentialy hit all points of the film, but the distance between that point and the ones in the film will be different, therefore the time they will be hit is different, therefore the phase of the light that will initially hit each place will also be different. If you can record said phase you will have a vague record of the distance between each point of the film and the target point. If this effect is applied to every point in the 3D object, the sum of all the information may indeed create the ilusion of looking through a window. This would honestly be best explained with an animation (if I am even correct). I hope this is what the video has in store! - How are holograms possible?

it might not be clear for most people why recording the phase of the light wave is relevant to record a 3d image on a 2d plane, but, being a physicist I will give a shot before watching the rest of the video.A point in a 3d object reflects light in all directions, so the light from that single point will essentialy hit all points of the film, but the distance between that point and the ones in the film will be different, therefore the time they will be hit is different, therefore the phase of the light that will initially hit each place will also be different. If you can record said phase you will have a vague record of the distance between each point of the film and the target point. If this effect is applied to every point in the 3D object, the sum of all the information may indeed create the ilusion of looking through a window. This would honestly be best explained with an animation (if I am even correct). I hope this is what the video has in store!

How are holograms possible?
2024年10月06日  @lucaskohn5457 様 
00:07:42 - 00:46:24
Would a different path not change the phase of the laser due to the difference in travel time? Is this accounted for or is it negligible/irrelevant because we are working with light? - How are holograms possible?

Would a different path not change the phase of the laser due to the difference in travel time? Is this accounted for or is it negligible/irrelevant because we are working with light?

How are holograms possible?
2024年10月06日  @PipPanoma 様 
00:08:15 - 00:46:24
Why is the polarization change by the beam splitter relevant? I thought monochromatic light polarization can't be changed, how is the polarization of a monochromatic laser light affected? - How are holograms possible?

Why is the polarization change by the beam splitter relevant? I thought monochromatic light polarization can't be changed, how is the polarization of a monochromatic laser light affected?

How are holograms possible?
2024年10月06日  @sydnerd 様 
00:08:48 - 00:46:24
what did u use to make animations in ? - How are holograms possible?

what did u use to make animations in ?

How are holograms possible?
2024年10月06日  @PinkeySuavo 様 
00:09:00 - 00:46:24
The purpose of the meditation circle is to get all of the humans on a single frequency so the individual frequencies do not interfere with the laser frequencies.🤍🤍🫧 - How are holograms possible?

The purpose of the meditation circle is to get all of the humans on a single frequency so the individual frequencies do not interfere with the laser frequencies.🤍🤍🫧

How are holograms possible?
2024年10月06日  @Grandma_Jizzzzzzzard 様 
00:09:58 - 00:46:24
It is like pars files to recreate a file.  If you have any 2 of the 3 pieces you can recreate it. - How are holograms possible?

It is like pars files to recreate a file. If you have any 2 of the 3 pieces you can recreate it.

How are holograms possible?
2024年10月06日  @ytu52973 様 
00:10:10 - 00:46:24
was when it clicked for me how this works, thanks for great visual explanation! - How are holograms possible?

was when it clicked for me how this works, thanks for great visual explanation!

How are holograms possible?
2024年10月06日  @theohallenius8882 様 
00:10:25 - 00:46:24
Oh!! You just did an XOR operation on light in 3D space through a plane. Cool. - How are holograms possible?

Oh!! You just did an XOR operation on light in 3D space through a plane. Cool.

How are holograms possible?
2024年10月06日  @douglascodes 様 
00:10:26 - 00:46:24
Grant, I know you love a good "Aha!" moment. For me in this video, it was around the  mark. Suddenly, the broad strokes of holograms suddenly made sense. Because of course! If you record the ways that two things interfere, and then send only one of those things through the interference, you're going to get the other! Excellent video, as always. - How are holograms possible?

Grant, I know you love a good "Aha!" moment. For me in this video, it was around the mark. Suddenly, the broad strokes of holograms suddenly made sense. Because of course! If you record the ways that two things interfere, and then send only one of those things through the interference, you're going to get the other! Excellent video, as always.

How are holograms possible?
2024年10月06日  @ISoldTheWorld97 様 
00:10:30 - 00:46:24
@  You can almost hear you staring to smile as you start talking about this point of the explanation 😊 - How are holograms possible?

@ You can almost hear you staring to smile as you start talking about this point of the explanation 😊

How are holograms possible?
2024年10月06日  @jasonlusignan 様 
00:10:40 - 00:46:24
reminds me of old documentary’s where you just need to imagine things… like here.. a 3d set, on a 2d film, looks 3d, recorded on a 2d camera for 2d viewing… looks just like a green version of normal filming. As if it were a set bathed in green. The imagination comes in, when one must interpret it as a hologram for the purpose of understanding how one is made. For eg, what you (3b1b) see while recording is not what we see here on the tube. - How are holograms possible?

reminds me of old documentary’s where you just need to imagine things… like here.. a 3d set, on a 2d film, looks 3d, recorded on a 2d camera for 2d viewing… looks just like a green version of normal filming. As if it were a set bathed in green. The imagination comes in, when one must interpret it as a hologram for the purpose of understanding how one is made. For eg, what you (3b1b) see while recording is not what we see here on the tube.

How are holograms possible?
2024年10月06日  @MurderBong 様 
00:10:46 - 00:46:24
That segment starting around  ... i admit i cried. with dread? joy? how strange to be anything at all - How are holograms possible?

That segment starting around ... i admit i cried. with dread? joy? how strange to be anything at all

How are holograms possible?
2024年10月06日  @robibobo 様 
00:11:00 - 00:46:24
Imagine learning that when You are 7 in 1986!, "You want to tell me Dad, that if i brake this Hologram ill will have 2 WHOLE pictures !? HOW?" .... Yeah your life is not the same after that .Sadly we dont have magazines like that now days ... except of course  3blue1brown :) . - How are holograms possible?

Imagine learning that when You are 7 in 1986!, "You want to tell me Dad, that if i brake this Hologram ill will have 2 WHOLE pictures !? HOW?" .... Yeah your life is not the same after that .Sadly we dont have magazines like that now days ... except of course 3blue1brown :) .

How are holograms possible?
2024年10月06日  @kz3dart 様 
00:11:25 - 00:46:24
Everyone has said it already but I'll say it again.  is magical. - How are holograms possible?

Everyone has said it already but I'll say it again. is magical.

How are holograms possible?
2024年10月06日  @TheMightyGiantDad 様 
00:11:26 - 00:46:24
). Imagine a snippet of a hologram-films, like at , and a computer reading the binary out of the hologram bit-by-bit thru that window. - How are holograms possible?

). Imagine a snippet of a hologram-films, like at , and a computer reading the binary out of the hologram bit-by-bit thru that window.

How are holograms possible?
2024年10月06日  @xponen 様 
00:11:27 - 00:46:24
Bro casually drops the most mind-boggling detail of this whole process and then never comes back to it. Cutting a small disc out of the main exposure still retains the entirety of the exposure how?! - How are holograms possible?

Bro casually drops the most mind-boggling detail of this whole process and then never comes back to it. Cutting a small disc out of the main exposure still retains the entirety of the exposure how?!

How are holograms possible?
2024年10月06日  @Leftysrev3nge 様 
00:11:27 - 00:46:24
This is like the type of stuff you would find in a fantasy story.A small piece of a window into a moment of a past,you can look at some of it, but if you want to solve the grand mysteryyou'll have to find more of the pieces and put them together. - How are holograms possible?

This is like the type of stuff you would find in a fantasy story.A small piece of a window into a moment of a past,you can look at some of it, but if you want to solve the grand mysteryyou'll have to find more of the pieces and put them together.

How are holograms possible?
2024年10月06日  @hexcodeff6624 様 
00:11:28 - 00:46:24
Chat, the comments are not exaggerating. I literally put my hand over my mouth in astonishment at - How are holograms possible?

Chat, the comments are not exaggerating. I literally put my hand over my mouth in astonishment at

How are holograms possible?
2024年10月06日  @NickClarkDrums 様 
00:11:30 - 00:46:24
Imagine finding a person sized version somewhere. You'd think it was a magical portal to some unknown world. - How are holograms possible?

Imagine finding a person sized version somewhere. You'd think it was a magical portal to some unknown world.

How are holograms possible?
2024年10月06日  @antondnice 様 
00:11:30 - 00:46:24
Okay, the bit at  where a small section can be used like a window to the whole scene... I think it's the first time a youtube video has actually made my jaw literally drop - How are holograms possible?

Okay, the bit at where a small section can be used like a window to the whole scene... I think it's the first time a youtube video has actually made my jaw literally drop

How are holograms possible?
2024年10月06日  @janagax 様 
00:11:30 - 00:46:24
is just the demonstration of the end result, you don't see how the magic trick works yet. - How are holograms possible?

is just the demonstration of the end result, you don't see how the magic trick works yet.

How are holograms possible?
2024年10月06日  @emenesu 様 
00:11:30 - 00:25:15
is the bit that really feels like magic. that every little piece still encodes the whole image, just at a lower resolution, is still mindblowing to me - How are holograms possible?

is the bit that really feels like magic. that every little piece still encodes the whole image, just at a lower resolution, is still mindblowing to me

How are holograms possible?
2024年10月06日  @Harani66 様 
00:11:30 - 00:46:24
, my brain just exploded, wtf! damm that is insane, even if it is explained, just insane - How are holograms possible?

, my brain just exploded, wtf! damm that is insane, even if it is explained, just insane

How are holograms possible?
2024年10月06日  @Sworn973 様 
00:11:32 - 00:46:24
mind blown to see hologram on a primitive glass slice - How are holograms possible?

mind blown to see hologram on a primitive glass slice

How are holograms possible?
2024年10月06日  @an-Alch3mist 様 
00:11:34 - 00:46:24
absolutely blew my mind. What kind of voodoo shit is this. - How are holograms possible?

absolutely blew my mind. What kind of voodoo shit is this.

How are holograms possible?
2024年10月06日  @UNLKYHNTR 様 
00:11:35 - 00:46:24
-- what's cool/interesting here is that you don't reduce the scene size at all -- you decrease the resolution at which you can view the scene! - How are holograms possible?

-- what's cool/interesting here is that you don't reduce the scene size at all -- you decrease the resolution at which you can view the scene!

How are holograms possible?
2024年10月06日  @sn0fx 様 
00:11:36 - 00:46:24
is like a dimensional portal 😮 wow - How are holograms possible?

is like a dimensional portal 😮 wow

How are holograms possible?
2024年10月06日  @quickstep2408 様 
00:11:38 - 00:46:24
This feels like it would make an incredible element in an escape room. Have a table set up, and to solve the puzzle you need to find these chips with different scenes recorded on them at the same table - How are holograms possible?

This feels like it would make an incredible element in an escape room. Have a table set up, and to solve the puzzle you need to find these chips with different scenes recorded on them at the same table

How are holograms possible?
2024年10月06日  @Mertly 様 
00:11:39 - 00:46:24
At  I genuinely was so surprised by what I was seeing. I had no idea this was even possible. It literally looks like you’re looking through a portal to another world. Light is so cool! - How are holograms possible?

At I genuinely was so surprised by what I was seeing. I had no idea this was even possible. It literally looks like you’re looking through a portal to another world. Light is so cool!

How are holograms possible?
2024年10月06日  @joshuafrank1246 様 
00:11:40 - 00:46:24
- The simplest hologram - How are holograms possible?

- The simplest hologram

How are holograms possible?
2024年10月06日 
00:11:45 - 00:17:12
At only  I could already anticipate (in abstract form) the answer to that question:  If (film pattern) = (object wave) + (reference wave), then by simple algebra (reconstructed object wave) = (film pattern) - (equivalent reference wave), and the latter reference wave being inverted (subtracted) doesn't really matter to how our eyes detect the amplitude of light. - How are holograms possible?

At only I could already anticipate (in abstract form) the answer to that question: If (film pattern) = (object wave) + (reference wave), then by simple algebra (reconstructed object wave) = (film pattern) - (equivalent reference wave), and the latter reference wave being inverted (subtracted) doesn't really matter to how our eyes detect the amplitude of light.

How are holograms possible?
2024年10月06日  @Stratelier 様 
00:11:45 - 00:46:24
When the "click bait" thumbnail is the exact expression I had!!! - How are holograms possible?

When the "click bait" thumbnail is the exact expression I had!!!

How are holograms possible?
2024年10月06日  @jonathantribble7013 様 
00:11:45 - 00:46:24
is literally a jaw drop! - How are holograms possible?

is literally a jaw drop!

How are holograms possible?
2024年10月06日  @shades3120 様 
00:11:45 - 00:46:24
It makes sense, but I am still amazed by that fact. It is like you peak into another universe :) - How are holograms possible?

It makes sense, but I am still amazed by that fact. It is like you peak into another universe :)

How are holograms possible?
2024年10月06日  @phlosen7854 様 
00:11:47 - 00:46:24
In the video Grant describes his strategy:   "Universal problem solving tip number one is to begin analyzing any hard problem by taking the simplest version of that problem." Grant finds the most simplified case that still features the phenomenon of interest, and from there he builds step by step. - How are holograms possible?

In the video Grant describes his strategy: "Universal problem solving tip number one is to begin analyzing any hard problem by taking the simplest version of that problem." Grant finds the most simplified case that still features the phenomenon of interest, and from there he builds step by step.

How are holograms possible?
2024年10月06日  @cleon_teunissen 様 
00:11:50 - 00:46:24
- - How are holograms possible?

-

How are holograms possible?
2024年10月06日  @zofiamroz3852 様 
00:11:55 - 00:14:50
This is something I've always wanted to understand, and already at  minutes in I have a much better understanding of this phenomenon than ever before. Also, Grant, your animations were already excellent like 5 years ago, but these are on an entirely new level. I'm so excited for the rest of this video! - How are holograms possible?

This is something I've always wanted to understand, and already at minutes in I have a much better understanding of this phenomenon than ever before. Also, Grant, your animations were already excellent like 5 years ago, but these are on an entirely new level. I'm so excited for the rest of this video!

How are holograms possible?
2024年10月06日  @evanbarnes9984 様 
00:12:00 - 00:46:24
is the moment I finally understood how it actually works. Real "holy shit" moment ! Thank you - How are holograms possible?

is the moment I finally understood how it actually works. Real "holy shit" moment ! Thank you

How are holograms possible?
2024年10月06日  @MaiSent 様 
00:12:13 - 00:46:24
and - How are holograms possible?

and

How are holograms possible?
2024年10月06日  @zofiamroz3852 様 
00:14:50 - 00:17:20
the two distances shown in  have to be destructive at each black point. this happens when D and the distance of that other line to its right. The way of finding these distances and angles between the two lines functions THE SAME WAY we did in the section “Diffraction gratings”, so we end up with the same formula. @3blue1brown - How are holograms possible?

the two distances shown in have to be destructive at each black point. this happens when D and the distance of that other line to its right. The way of finding these distances and angles between the two lines functions THE SAME WAY we did in the section “Diffraction gratings”, so we end up with the same formula. @3blue1brown

How are holograms possible?
2024年10月06日  @wesr9258 様 
00:14:58 - 00:46:24
the two distances shown in  have to be destructive at each black point. this happens when D and the distance of that other line to its right. The way of finding these distances and angles between the two lines functions THE SAME WAY we did in the section “Diffraction gratings”, so we end up with the same formula. @3blue1brown (I wrote it twice to get your attention.) - How are holograms possible?

the two distances shown in have to be destructive at each black point. this happens when D and the distance of that other line to its right. The way of finding these distances and angles between the two lines functions THE SAME WAY we did in the section “Diffraction gratings”, so we end up with the same formula. @3blue1brown (I wrote it twice to get your attention.)

How are holograms possible?
2024年10月06日  @wesr9258 様 
00:14:58 - 00:46:24
thank you for doing things like this. - How are holograms possible?

thank you for doing things like this.

How are holograms possible?
2024年10月06日  @crowlsyong 様 
00:15:24 - 00:46:24
Frenell? Like the lenses in old huge tvs that people recycled into solar burners? - How are holograms possible?

Frenell? Like the lenses in old huge tvs that people recycled into solar burners?

How are holograms possible?
2024年10月06日  @granitegrizz 様 
00:15:46 - 00:46:24
This is what made it click for me.   - 16.20 - How are holograms possible?

This is what made it click for me. - 16.20

How are holograms possible?
2024年10月06日  @Poisoncurls 様 
00:16:00 - 00:46:24
At exactly  I said to myself "it's just a bunch of goddamn double-slits." - How are holograms possible?

At exactly I said to myself "it's just a bunch of goddamn double-slits."

How are holograms possible?
2024年10月06日  @bubbleheadft 様 
00:16:45 - 00:46:24
: "Let's take a side-step into a mini-lesson so I don't have to rob you of that joy."lol, I love it!  Never change, Grant! - How are holograms possible?

: "Let's take a side-step into a mini-lesson so I don't have to rob you of that joy."lol, I love it! Never change, Grant!

How are holograms possible?
2024年10月06日  @robspiess 様 
00:17:06 - 00:46:24
- Diffraction gratings - How are holograms possible?

- Diffraction gratings

How are holograms possible?
2024年10月06日 
00:17:12 - 00:25:15
and the part most directly applyin to the 2 slits at: - How are holograms possible?

and the part most directly applyin to the 2 slits at:

How are holograms possible?
2024年10月06日  @zofiamroz3852 様 
00:17:20 - 00:18:20
I just gotta ask. Does no one else see the shape with this? There’s these spikes and two roughly parallel lines. - How are holograms possible?

I just gotta ask. Does no one else see the shape with this? There’s these spikes and two roughly parallel lines.

How are holograms possible?
2024年10月06日  @44Hd22 様 
00:17:44 - 00:17:46
Oh that’s outer spikes. But it’s a 5 5 thing. If you count the inside spike. - How are holograms possible?

Oh that’s outer spikes. But it’s a 5 5 thing. If you count the inside spike.

How are holograms possible?
2024年10月06日  @44Hd22 様 
00:17:46 - 00:20:22
This uses the simplest version of the phenomenon's mechanism. In the video it is called "the problem".That problem, in the video, uses a point or very small single object. From there it can be inferred how two lines or slits are used to produce a series of lines, as seen in the far field pattern that is produced from those two slits.The main difference between how this is explained in the video, is the use of waves in an electro-magnetic field that fills all space as the mechanism to model light which, is accepted under Standard Quantum Mechanics, while light is modeled as 2-Spheres of charge currents under GUT-CP.The 2 slit experiment can be best explained by using the holographic principle where, light modeled under GUT-CP, provides the simplest and most intuitive mechanism for explaining that experiment; and avoid having to multiply the reasons for how that works and thereby satisfy a tool of the scientific method known as Occam's Razor.The key to realizing this simpler model is that the sine shape in this simpler photon model is what a point on the 2D shell of light under GUT-CP,describes on its path through space but, not an intrinsic feature of light. Einstein was right again, light is not a wave but, corpuscular, and not anything to do with fields that would place a photon everywhere at one time, as depicted in the video. That last also violates Occam's Razor. Those several violations point to SQM being an inaccurate or incomplete theory. Therefore the Grand Unified Theory-Classical Physics is more accurate by at least a factor of 100 times and also totally intuitive - How are holograms possible?

This uses the simplest version of the phenomenon's mechanism. In the video it is called "the problem".That problem, in the video, uses a point or very small single object. From there it can be inferred how two lines or slits are used to produce a series of lines, as seen in the far field pattern that is produced from those two slits.The main difference between how this is explained in the video, is the use of waves in an electro-magnetic field that fills all space as the mechanism to model light which, is accepted under Standard Quantum Mechanics, while light is modeled as 2-Spheres of charge currents under GUT-CP.The 2 slit experiment can be best explained by using the holographic principle where, light modeled under GUT-CP, provides the simplest and most intuitive mechanism for explaining that experiment; and avoid having to multiply the reasons for how that works and thereby satisfy a tool of the scientific method known as Occam's Razor.The key to realizing this simpler model is that the sine shape in this simpler photon model is what a point on the 2D shell of light under GUT-CP,describes on its path through space but, not an intrinsic feature of light. Einstein was right again, light is not a wave but, corpuscular, and not anything to do with fields that would place a photon everywhere at one time, as depicted in the video. That last also violates Occam's Razor. Those several violations point to SQM being an inaccurate or incomplete theory. Therefore the Grand Unified Theory-Classical Physics is more accurate by at least a factor of 100 times and also totally intuitive

How are holograms possible?
2024年10月06日  @zofiamroz3852 様 
00:18:20 - 00:46:24
I'm only up to , so if you mentioned this in the video, I'm jumping ahead of the class again... if so, that's pretty cool that someone is doing this already - How are holograms possible?

I'm only up to , so if you mentioned this in the video, I'm jumping ahead of the class again... if so, that's pretty cool that someone is doing this already

How are holograms possible?
2024年10月06日  @NotMyRealName3618 様 
00:18:25 - 00:46:24
I may be incredibly stupid, but ...  light , waves, experiments - its just a wave as long as its not measured, right? I refer to quantumphysics as they proofed that light is not ALWAYS a wave... - How are holograms possible?

I may be incredibly stupid, but ... light , waves, experiments - its just a wave as long as its not measured, right? I refer to quantumphysics as they proofed that light is not ALWAYS a wave...

How are holograms possible?
2024年10月06日  @rubizockt4177 様 
00:18:47 - 00:46:24
Great video so far   I’m always puzzled by explanations of quantum mechanics but at least the wave phenomena of light is intuitive. - How are holograms possible?

Great video so far I’m always puzzled by explanations of quantum mechanics but at least the wave phenomena of light is intuitive.

How are holograms possible?
2024年10月06日  @JamesVytas 様 
00:19:05 - 00:46:24
Not only did this new visualization actually finally made it click for me how and why the 2+ slit experiment works, but gave new insight that these diffractions are actually more nuanced and intricate than I originally imagined! Kudos! - How are holograms possible?

Not only did this new visualization actually finally made it click for me how and why the 2+ slit experiment works, but gave new insight that these diffractions are actually more nuanced and intricate than I originally imagined! Kudos!

How are holograms possible?
2024年10月06日  @shoam2103 様 
00:20:00 - 00:46:24
i love you bruh, fantastic explanation - How are holograms possible?

i love you bruh, fantastic explanation

How are holograms possible?
2024年10月06日  @elenacucculelli8111 様 
00:20:19 - 00:46:24
it looks like pattern emerge on a small scale too. - How are holograms possible?

it looks like pattern emerge on a small scale too.

How are holograms possible?
2024年10月06日  @44Hd22 様 
00:20:22 - 00:46:24
)  in-color holograms possible? I have zero idea how that’d work but 🤔 (I haven’t finished watching the video btw) - How are holograms possible?

) in-color holograms possible? I have zero idea how that’d work but 🤔 (I haven’t finished watching the video btw)

How are holograms possible?
2024年10月06日  @peanut3438 様 
00:24:58 - 00:46:24
Cool tattoos, just like the inscription on the Voyager satellite Golden records. - How are holograms possible?

Cool tattoos, just like the inscription on the Voyager satellite Golden records.

How are holograms possible?
2024年10月06日  @ceremonious_houseplant 様 
00:25:02 - 00:46:24
tat is such a cool tatoo I love it - How are holograms possible?

tat is such a cool tatoo I love it

How are holograms possible?
2024年10月06日  @lil_shakaya_2194 様 
00:25:09 - 00:46:24
Anyone know what the tattoo is at ? - How are holograms possible?

Anyone know what the tattoo is at ?

How are holograms possible?
2024年10月06日  @Whytho2000 様 
00:25:14 - 00:46:24
that is such a good tattoo. the hydrogen graphic off of the voyager 1 golden record ❤ - How are holograms possible?

that is such a good tattoo. the hydrogen graphic off of the voyager 1 golden record ❤

How are holograms possible?
2024年10月06日  @musicatpurrcussion 様 
00:25:14 - 00:46:24
- Reconstructing the simplest hologram - How are holograms possible?

- Reconstructing the simplest hologram

How are holograms possible?
2024年10月06日 
00:25:15 - 00:28:24
Start at  if you want more context. - How are holograms possible?

Start at if you want more context.

How are holograms possible?
2024年10月06日  @emenesu 様 
00:25:15 - 00:46:24
if u were wondering x/L should be tanθ, u r right, but x/L is very small here (we equating it to wavelength, that small) almost tending to zero, and if tanθ tends to zero, it is equal to θ itself and luckily that is also true for sinθ....so that's why, sinθ..... - How are holograms possible?

if u were wondering x/L should be tanθ, u r right, but x/L is very small here (we equating it to wavelength, that small) almost tending to zero, and if tanθ tends to zero, it is equal to θ itself and luckily that is also true for sinθ....so that's why, sinθ.....

How are holograms possible?
2024年10月06日  @rishavjain5087 様 
00:26:09 - 00:46:24
I loved this video - as always, the explanations were really clear and the video was made beautifully. I did have a question though: at , isn't x/L equal to tan(theta'), not sin(theta')? - How are holograms possible?

I loved this video - as always, the explanations were really clear and the video was made beautifully. I did have a question though: at , isn't x/L equal to tan(theta'), not sin(theta')?

How are holograms possible?
2024年10月06日  @maxlevin8842 様 
00:26:11 - 00:46:24
A potentially more elegant way to reason through this is: - How are holograms possible?

A potentially more elegant way to reason through this is:

How are holograms possible?
2024年10月06日  @wesr9258 様 
00:26:31 - 00:14:58
Holy sh1t that's cool! - How are holograms possible?

Holy sh1t that's cool!

How are holograms possible?
2024年10月06日  @0therun1t21 様 
00:26:57 - 00:46:24
The actual highlight is at  btw. That's where the magic is explained. - How are holograms possible?

The actual highlight is at btw. That's where the magic is explained.

How are holograms possible?
2024年10月06日  @emenesu 様 
00:27:37 - 00:11:30
like looking at an airplane’s shadow in the trees while flying.  The viewing angle from the sun creates this same effect in the leaves of the trees. - How are holograms possible?

like looking at an airplane’s shadow in the trees while flying. The viewing angle from the sun creates this same effect in the leaves of the trees.

How are holograms possible?
2024年10月06日  @cliffclof 様 
00:27:38 - 00:46:24
Notably at  light from the observation side would be concentrated into a single point. A type of magnification lens called a 'fresnel lens', they are easy to make out of plastic compared to normal glass magnifications lenses. Perfect for starting fires or burning ants. - How are holograms possible?

Notably at light from the observation side would be concentrated into a single point. A type of magnification lens called a 'fresnel lens', they are easy to make out of plastic compared to normal glass magnifications lenses. Perfect for starting fires or burning ants.

How are holograms possible?
2024年10月06日  @KingQuetzal 様 
00:27:58 - 00:46:24
- Conjugate image - How are holograms possible?

- Conjugate image

How are holograms possible?
2024年10月06日 
00:28:24 - 00:31:11
Oooh strong exp(i ω t) + exp(−i ω t) vibes here: a real-valued signal consists of two mirrored copies of a complex-valued signal, and similar phenomena. - How are holograms possible?

Oooh strong exp(i ω t) + exp(−i ω t) vibes here: a real-valued signal consists of two mirrored copies of a complex-valued signal, and similar phenomena.

How are holograms possible?
2024年10月06日  @05degrees 様 
00:29:22 - 00:30:54
holy crap my brain just exploded. So the higher order beams are a similar concept to harmonics. A traditional diffraction grating is like a square wave, whose frequency space is a series of (theoretically infinite) harmonic spikes extending from the base frequency, while a perfect sine wave is just a single spike.To make the analogy better, you'd have to apply it to something like RF mixing. A mixer normally outputs energy concentrated in exactly 3 distinct frequencies, centered on the frequency of one of the inputs. Injecting a square wave into one would probably yield a bunch of harmonics much like the additional beams. Still weird though since frequency space and angle seem very fundamentally different, and my physics foundation isn't quite strong enough to know how much actual connection there is there. - How are holograms possible?

holy crap my brain just exploded. So the higher order beams are a similar concept to harmonics. A traditional diffraction grating is like a square wave, whose frequency space is a series of (theoretically infinite) harmonic spikes extending from the base frequency, while a perfect sine wave is just a single spike.To make the analogy better, you'd have to apply it to something like RF mixing. A mixer normally outputs energy concentrated in exactly 3 distinct frequencies, centered on the frequency of one of the inputs. Injecting a square wave into one would probably yield a bunch of harmonics much like the additional beams. Still weird though since frequency space and angle seem very fundamentally different, and my physics foundation isn't quite strong enough to know how much actual connection there is there.

How are holograms possible?
2024年10月06日  @nathanaelvetters2684 様 
00:30:34 - 00:46:24
My first thought was harmonics. Like a radio wave that is a sine does not create harmonics, but a square wave does. - How are holograms possible?

My first thought was harmonics. Like a radio wave that is a sine does not create harmonics, but a square wave does.

How are holograms possible?
2024年10月06日  @jeffmerlin2580 様 
00:30:37 - 00:46:24
~ It's like the beam's order being the resulting  frequency bumps of a fourier transform. Sine-like gradient slits can produce only the 1st order (the 0th being always the equivalent of DC 0hz on fourier). Square-like slits produce more orders, as their shaping is composed by many "sine-like gradient slits stacked" - How are holograms possible?

~ It's like the beam's order being the resulting frequency bumps of a fourier transform. Sine-like gradient slits can produce only the 1st order (the 0th being always the equivalent of DC 0hz on fourier). Square-like slits produce more orders, as their shaping is composed by many "sine-like gradient slits stacked"

How are holograms possible?
2024年10月06日  @amichelis 様 
00:30:40 - 00:46:24
intuitively this seems completely reasonable without explanation as it looks akin to squarewaves vs sinewaves. Whereas, if you're an audio or electrical engineer or know about it, squarewaves are known to basically be the sum of an infinite amount of sine waves. - How are holograms possible?

intuitively this seems completely reasonable without explanation as it looks akin to squarewaves vs sinewaves. Whereas, if you're an audio or electrical engineer or know about it, squarewaves are known to basically be the sum of an infinite amount of sine waves.

How are holograms possible?
2024年10月06日  @hashbrown777 様 
00:30:50 - 00:46:24
That’s neat! Fourier strikes again: sinc ⟷ square wave, delta ⟷ sine wave, but again with complications because of spacetime nature of this thing except of just working with images or temporal signals. - How are holograms possible?

That’s neat! Fourier strikes again: sinc ⟷ square wave, delta ⟷ sine wave, but again with complications because of spacetime nature of this thing except of just working with images or temporal signals.

How are holograms possible?
2024年10月06日  @05degrees 様 
00:30:54 - 00:46:24
That looks a lot like a Fourier transform of square wave vs sine wave - How are holograms possible?

That looks a lot like a Fourier transform of square wave vs sine wave

How are holograms possible?
2024年10月06日  @mrvbnz 様 
00:31:00 - 00:46:24
- More complex scenes - How are holograms possible?

- More complex scenes

How are holograms possible?
2024年10月06日 
00:31:11 - 00:35:58
The visualization you have makes it exquisitely intuitive! - How are holograms possible?

The visualization you have makes it exquisitely intuitive!

How are holograms possible?
2024年10月06日  @llahneb10 様 
00:32:49 - 00:46:24
Rojo: Ooh! ok, now I'm getting excited about the idea of a low-resolution hologram... I'm thinking it might end up distorting the image in really interesting ways, but even if it's just like looking at a 144p version of a 3D object in person, that would look so surreal and cool! - How are holograms possible?

Rojo: Ooh! ok, now I'm getting excited about the idea of a low-resolution hologram... I'm thinking it might end up distorting the image in really interesting ways, but even if it's just like looking at a 144p version of a 3D object in person, that would look so surreal and cool!

How are holograms possible?
2024年10月06日  @kipper1668 様 
00:33:34 - 00:46:24
to - How are holograms possible?

to

How are holograms possible?
2024年10月06日  @conradammon268 様 
00:35:00 - 00:35:45
makes me envious to the point of anger.  He captures a fundamental driving philosophy of mathematics and why I love the fundamental and abstract maths so much in a way I've not ever been able to describe.  And he does it as an ASIDE, a lemma stepping stool with which to jump right back into his real lesson! - How are holograms possible?

makes me envious to the point of anger. He captures a fundamental driving philosophy of mathematics and why I love the fundamental and abstract maths so much in a way I've not ever been able to describe. And he does it as an ASIDE, a lemma stepping stool with which to jump right back into his real lesson!

How are holograms possible?
2024年10月06日  @conradammon268 様 
00:35:45 - 00:46:24
- The bigger picture of holography - How are holograms possible?

- The bigger picture of holography

How are holograms possible?
2024年10月06日 
00:35:58 - 00:38:27
"Luck favors a prepared mind" is magnitudes better than the usual "Fortune favors the bold" and I will henceforth insert this quote into as many discussions as possible. - How are holograms possible?

"Luck favors a prepared mind" is magnitudes better than the usual "Fortune favors the bold" and I will henceforth insert this quote into as many discussions as possible.

How are holograms possible?
2024年10月06日  @XyrillPlays 様 
00:38:07 - 00:46:24
, nearly got a heart attack thinking the video was over - How are holograms possible?

, nearly got a heart attack thinking the video was over

How are holograms possible?
2024年10月06日  @threeuniquefingers 様 
00:38:23 - 00:46:24
- The formal explanation - How are holograms possible?

- The formal explanation

How are holograms possible?
2024年10月06日 
00:38:27 - 00:46:24
That is the way it was explained to me in college, almost 40 years ago.Thanks to you I finally got it!!! - How are holograms possible?

That is the way it was explained to me in college, almost 40 years ago.Thanks to you I finally got it!!!

How are holograms possible?
2024年10月06日  @Neverforget71324 様 
00:42:16 - 00:46:24
RRRRRORROROO - How are holograms possible?

RRRRRORROROO

How are holograms possible?
2024年10月06日  @KeeganLeahy 様 
00:42:32 - 00:46:24
@ ,, Thats how the 4th dimension looks. Seeing it from a 3d space on a 2d plane using 1D light from 0d point. - How are holograms possible?

@ ,, Thats how the 4th dimension looks. Seeing it from a 3d space on a 2d plane using 1D light from 0d point.

How are holograms possible?
2024年10月06日  @BigBadDodge4x4 様 
00:43:50 - 00:46:24

3Blue1Brown

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