Inside the black hole image that made history | Sheperd Doeleman

3,053,856 views ・ 2019-05-10

TED


Please double-click on the English subtitles below to play the video.

Prevodilac: Milenka Okuka Lektor: Ivana Krivokuća
00:13
Chris Anderson: Shep, thank you so much for coming.
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Kris Anderson: Šep, mnogo ti hvala što si došao.
00:15
I think your plane landed literally two hours ago in Vancouver.
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Mislim da ti je avion sleteo bukvalno pre dva sata u Vankuver.
00:19
Such a treat to have you.
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Velika je čast što si tu.
00:21
So, talk us through how do you get from Einstein's equation to a black hole?
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Dakle, pokaži nam kako ste stigli od Ajnštajnove jednačine do crne rupe?
00:27
Sheperd Doeleman: Over 100 years ago,
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Šeperd Dolman: Pre stotinu godina,
00:29
Einstein came up with this geometric theory of gravity
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Ajnštajn je došao do geometrijske teorije gravitacije
00:32
which deforms space-time.
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koja deformiše prostor-vreme.
00:34
So, matter deforms space-time,
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Materija deformiše prostor-vreme,
00:36
and then space-time tells matter in turn how to move around it.
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a potom prostor-vreme saopštava materiji kako da se kreće oko njega.
00:39
And you can get enough matter into a small enough region
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Možete da imate dovoljno materije u dovoljno maloj oblasti
00:42
that it punctures space-time,
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koja probija prostor-vreme,
00:45
and that even light can't escape,
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da ni svetlost ne može da pobegne,
00:46
the force of gravity keeps even light inside.
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sila gravitacije čak i svetlost zadržava unutra.
00:49
CA: And so, before that, the reason the Earth moves around the Sun
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KA: Dakle, pre toga, razlog zašto se Zemlja okreće oko Sunca
00:52
is not because the Sun is pulling the Earth as we think,
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nije zato što Sunce privlači Zemlju, kao što mislimo,
00:54
but it's literally changed the shape of space
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već je to bukvalno izmenilo oblik prostora,
te mi prosto nekako padamo oko Sunca.
00:57
so that we just sort of fall around the Sun.
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ŠD: Upravo, geometrija prostora-vremena
00:59
SD: Exactly, the geometry of space-time
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saopštava Zemlji kako da se kreće oko Sunca.
01:01
tells the Earth how to move around the Sun.
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01:03
You're almost seeing a black hole puncture through space-time,
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Gotovo da vidite crnu rupu kako probija prostor-vreme,
01:06
and when it goes so deeply in,
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a kada zadre toliko duboko unutra,
01:08
then there's a point at which light orbits the black hole.
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imamo tačku u kojoj svetlost kruži oko crne rupe.
01:12
CA: And so that's, I guess, is what's happening here.
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KA: A to je ono što se, pretpostavljam, dešava ovde.
01:14
This is not an image,
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Ovo nije slika,
01:15
this is a computer simulation of what we always thought,
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ovo je kompjuterska simulacija nečega što smo oduvek smatrali
01:18
like, the event horizon around the black hole.
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horizontom događaja oko crne rupe.
01:21
SD: Until last week, we had no idea what a black hole really looked like.
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ŠD: Do prošle nedelje, pojma nismo imali kako zaista izgleda crna rupa.
01:25
The best we could do were simulations like this in supercomputers,
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Najviše što smo mogli su bile simulacije, nalik ovoj, na superkompjuterima,
01:29
but even here you see this ring of light,
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ali čak i ovde vidite taj svetlosni prsten,
01:31
which is the orbit of photons.
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a to je orbita od fotona.
01:33
That's where photons literally move around the black hole,
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Tu se fotoni bukvalno kreću oko crne rupe,
01:36
and around that is this hot gas that's drawn to the black hole,
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a oko toga je vreli gas koga privlači crna rupa,
01:39
and it's hot because of friction.
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a vreo je zbog trenja.
01:41
All this gas is trying to get into a very small volume, so it heats up.
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Ovaj gas pokušava da stigne u veoma malu zapreminu, te se zagreva.
KA: Pre nekoliko godina si se zaputio na ovu misiju
01:45
CA: A few years ago, you embarked on this mission
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01:47
to try and actually image one of these things.
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da pokušaš da zapravo uslikaš jednu od ovih stvari.
01:50
And I guess you took --
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I pretpostavljam da si uzeo -
01:52
you focused on this galaxy way out there.
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usredsredio si se na tu galaksiju skroz tamo.
01:54
Tell us about this galaxy.
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Ispričaj nam o ovoj galaksiji.
01:56
SD: This is the galaxy --
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ŠD: Ovo je galaksija -
01:58
we're going to zoom into the galaxy M87, it's 55 million light-years away.
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zumiraćemo galaksiju M87, udaljenu 55 miliona svetlosnih godina.
02:02
CA: Fifty-five million.
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KA: 55 miliona.
02:03
SD: Which is a long way.
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ŠD: To je daleko.
02:05
And at its heart,
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A u njenoj srži,
02:07
there's a six-and-a-half-billion- solar-mass black hole.
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nalazi se crna rupa od šest i po milijardi Sunčeve mase.
02:09
That's hard for us to really fathom, right?
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Teško nam je to da pojmimo, zar ne?
02:12
Six and a half billion suns compressed into a single point.
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Šest i po milijardi sunaca sabijeno u jednu tačku.
02:16
And it's governing some of the energetics of the center of this galaxy.
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I ona upravlja delom energetike središta ove galaksije.
02:21
CA: But even though that thing is so huge, because it's so far away,
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KA: Iako je ta stvar tako ogromna, iz razloga što je tako daleko,
02:24
to actually dream of getting an image of it,
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zapravo sanjati o njenoj fotografiji,
02:27
that's incredibly hard.
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to je neverovatno teško.
02:28
The resolution would be incredible that you need.
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Potrebna bi bila neverovatna rezolucija.
ŠD: Crne rupe su najmanji objekti u poznatom univerzumu.
02:31
SD: Black holes are the smallest objects in the known universe.
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02:34
But they have these outsize effects on whole galaxies.
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Međutim, one imaju ogroman uticaj na čitave galaksije.
02:37
But to see one,
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No, da biste videli jednu,
02:38
you would need to build a telescope as large as the Earth,
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morali biste da sagradite teleskop veličine Zemlje,
jer crna rupa u koju gledamo
02:41
because the black hole that we're looking at
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otpušta obilne radio-talase.
02:43
gives off copious radio waves.
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02:44
It's emitting all the time.
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Sve vreme isijava.
02:46
CA: And that's exactly what you did.
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KA: I upravo to ste i uradili.
02:47
SD: Exactly. What you're seeing here
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ŠD: Upravo. Ovde vidite
02:49
is we used telescopes all around the world,
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da smo koristili teleskope širom sveta,
02:51
we synchronized them perfectly with atomic clocks,
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savršeno smo ih sinhronizovali uz pomoć atomskih satova
02:54
so they received the light waves from this black hole,
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koji su primali svetlosne talase iz crne rupe,
02:56
and then we stitched all of that data together to make an image.
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a potom smo spajali zajedno sve podatke kako bismo dobili sliku.
03:00
CA: To do that
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KA: Da biste to postigli,
03:03
the weather had to be right
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vreme je moralo da bude dobro
03:04
in all of those locations at the same time,
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na svim tim lokacijama u isto vreme,
03:06
so you could actually get a clear view.
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kako biste zapravo imali jasan pogled.
03:08
SD: We had to get lucky in a lot of different ways.
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ŠD: Moralo je da nam se posreći na razne načine.
03:11
And sometimes, it's better to be lucky than good.
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A ponekad je bolje imati sreće nego znanja.
03:14
In this case, we were both, I like to think.
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U ovom slučaju, volim da verujem, da smo imali oboje.
03:16
But light had to come from the black hole.
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Međutim, crna rupa je morala da odaje svetlost.
03:19
It had to come through intergalactic space,
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Svetlost je morala da stiže kroz intergalaktički prostor,
03:23
through the Earth's atmosphere, where water vapor can absorb it,
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kroz Zemljinu atmosferu, gde su vodena isparavanja mogla da je apsorbuju,
03:27
and everything worked out perfectly,
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i sve se savršeno poklopilo,
03:29
the size of the Earth at that wavelength of light,
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veličina Zemlje na toj talasnoj dužini svetlosti
03:31
one millimeter wavelength,
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od jednog milimetra
03:33
was just right to resolve that black hole, 55 million light-years away.
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bila je odgovarajuća da otkrije crnu rupu udaljenu 55 miliona svetlosnih godina.
03:37
The universe was telling us what to do.
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Univerzum nam je saopštavao šta da radimo.
03:40
CA: So you started capturing huge amounts of data.
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KA: Počeli ste da beležite ogromne količine podataka.
03:43
I think this is like half the data from just one telescope.
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Mislim da je ovo tek polovina podataka od samo jednog teleskopa.
03:46
SD: Yeah, this is one of the members of our team, Lindy Blackburn,
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ŠD: Da, ovo je jedan od članova naše ekipe, Lindi Blekburn,
i on sedi pored polovine podataka
03:49
and he's sitting with half the data
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03:51
recorded at the Large Millimeter Telescope,
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koje je snimio Veliki milimetarski teleskop
03:53
which is atop a 15,000-foot mountain in Mexico.
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koji stoji na vrhu 4 850 km visoke planine u Meksiku.
03:56
And what he's holding there is about half a petabyte.
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A on tu drži otprilike polovinu petabajta.
03:59
Which, to put it in terms that we might understand,
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Što je, kad se izrazi terminom koji možemo da razumemo,
04:03
it's about 5,000 people's lifetime selfie budget.
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oko 5 000 celoživotnih ljudskih selfi budžeta.
04:07
(Laughter)
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(Smeh)
04:09
CA: It's a lot of data.
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KA: To je mnogo podataka.
04:10
So this was all shipped, you couldn't send this over the internet.
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Sve je transportovano, niste ovo mogli slati preko interneta.
04:13
All this data was shipped to one place
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Svi ovi podaci su dopremljeni na jedno mesto
04:15
and the massive computer effort began to try and analyze it.
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i uz ogromne napore kompjutera ste pokušali da ovo analizirate.
04:19
And you didn't really know
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I niste zaista znali
04:20
what you were going to see coming out of this.
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šta ćete da ugledate po okončanju svega.
ŠD: Tehnika koju smo koristili funkcioniše tako -
04:23
SD: The way this technique works that we used --
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04:25
imagine taking an optical mirror and smashing it
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zamislite da uzmete optičko ogledalo i razbijete ga
04:28
and putting all the shards in different places.
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i sve krhotine stavite na različita mesta.
04:30
The way a normal mirror works
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Normalno ogledalo funkcioniše
04:32
is the light rays bounce off the surface, which is perfect,
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tako što se svetlosni zraci odbijaju o površinu, a to je savršeno,
04:35
and they focus in a certain point at the same time.
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i istovremeno se fokusiraju u određenu tačku.
04:38
We take all these recordings,
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Uzimamo sve ove snimke,
04:40
and with atomic clock precision
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i preciznošću atomskog časovnika
04:41
we align them perfectly, later in a supercomputer.
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kasnije ih savršeno poređamo unutar superkompjutera.
04:45
And we recreate kind of an Earth-sized lens.
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I isceniramo neki vid objektiva veličine Zemlje.
04:47
And the only way to do that is to bring the data back by plane.
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A jedini način da to obavimo je da avionom prebacimo podatke.
04:50
You can't beat the bandwidth of a 747 filled with hard discs.
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Ne možete da pobedite opseg boinga 747 ispunjenog hard diskovima.
04:54
(Laughter)
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(Smeh)
04:55
CA: And so, I guess a few weeks or a few months ago,
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KA: Pretpostavljam, pre nekoliko sedmica ili meseci,
04:58
on a computer screen somewhere,
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negde na nekom kompjuterskom ekranu
04:59
this started to come into view.
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ovo je počelo da se kristališe.
05:03
This moment.
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Ovaj trenutak.
05:04
SD: Well, it took a long time.
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ŠD: Pa, potrajalo je poprilično.
05:06
CA: I mean, look at this.
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KA: Mislim, pogledajte ovo.
05:09
That was it.
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To je bilo to.
05:11
That was the first image.
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To je bila prva slika.
05:12
(Applause)
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(Aplauz)
05:18
So tell us what we're really looking at there.
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Reci nam u šta ovde gledamo.
05:20
SD: I still love it.
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ŠD: I dalje sam oduševljen.
05:22
(Laughter)
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(Smeh)
05:25
So what you're seeing is that last orbit of photons.
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Ovde vidite poslednju orbitu fotona.
05:29
You're seeing Einstein's geometry laid bare.
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Vidite ogoljenu Ajnštajnovu geometriju.
05:32
The puncture in space-time is so deep
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Rascep u vremenu-prostoru je tako dubok
05:35
that light moves around in orbit,
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da svetlost kruži u orbiti,
05:37
so that light behind the black hole, as I think we'll see soon,
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a svetlost iza crne rupe, verujem da ćemo to uskoro da vidimo,
05:40
moves around and comes to us on these parallel lines
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kruži i do nas stiže u ovim paralelnim linijama
05:43
at exactly that orbit.
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baš u vidu te orbite.
05:44
It turns out, that orbit is the square root of 27
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Ispostavlja se da je ta orbita veličine kvadratnog korena od 27
05:49
times just a handful of fundamental constants.
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pomnoženog sa svega šačicom fundamentalnih konstanti.
05:52
It's extraordinary when you think about it.
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Izvanredno je kad razmislite o tome.
05:54
CA: When ...
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KA: Kad...
05:56
In my head, initially, when I thought of black holes,
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Prvobitno u mojoj glavi, kad sam razmišljao o crnim rupama,
05:59
I'm thinking that is the event horizon,
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razmišljam da je ovo horizont događaja,
06:01
there's lots of matter and light whirling around in that shape.
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ima tu mnogo materije i svetlosti koje kruže u tom obliku.
06:05
But it's actually more complicated than that.
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Međutim, zapravo je mnogo složenije od toga.
06:08
Well, talk us through this animation, because it's light being lensed around it.
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Dakle, objasni nam ovu animaciju, jer je svetlost usmerena oko nje.
06:12
SD: You'll see here that some light from behind it gets lensed,
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ŠD: Videćete ovde da se nešto svetlosti iz pozadine usmerava,
06:16
and some light does a loop-the-loop around the entire orbit of the black hole.
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a nešto svetlosti pravi salta oko čitave orbite crne rupe.
06:20
But when you get enough light
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No, kad imate dovoljno svetlosti
06:22
from all this hot gas swirling around the black hole,
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iz sveg ovog vrelog gasa koji kruži oko crne rupe,
06:24
then you wind up seeing all of these light rays
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onda vidite sve ove svetlosne zrake
06:27
come together on this screen,
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kako se sastaju na ovom ekranu,
06:29
which is a stand-in for where you and I are.
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a to je supstitucija moje i tvoje pozicije.
06:31
And you see the definition of this ring begin to come into shape.
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I vidite konture ovog prstena kako poprimaju oblik.
06:36
And that's what Einstein predicted over 100 years ago.
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A to je Ajnštajn predvideo pre više od 100 godina.
06:40
CA: Yeah, that is amazing.
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KA: Da, to je zadivljujuće.
06:42
So tell us more about what we're actually looking at here.
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Ispričaj nam više o tome šta ovde vidimo.
06:48
First of all, why is part of it brighter than the rest?
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Pre svega, zašto su neki delovi svetliji od drugih?
06:50
SD: So what's happening is that the black hole is spinning.
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ŠD: Dešava se to da se crna rupa okreće.
06:54
And you wind up with some of the gas moving towards us below
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I, naposletku, nešto gasa ispod nje se kreće ka nama,
06:57
and receding from us on the top.
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a gas s vrha se povlači.
06:59
And just as the train whistle has a higher pitch
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I baš kao što vozna sirena zvuči prodornije
07:02
when it's coming towards you,
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kada voz ide ka vama,
07:03
there's more energy from the gas coming towards us than going away from us.
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gas emituje veću energiju kada se kreće ka nama nego kada se udaljava od nas.
07:07
You see the bottom part brighter
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Donji deo izgleda svetlije
07:08
because the light is actually being boosted in our direction.
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jer je svetlost zapravo jača u našem smeru.
07:12
CA: And how physically big is that?
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KA: A koliko je to fizički veliko?
07:14
SD: Our entire solar system would fit well within that dark region.
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ŠD: Naš celokupan Sunčev sistem bi stao u tu tamnu oblast.
07:20
And if I may,
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I dodaću,
07:22
that dark region is the signature of the event horizon.
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ta tamna oblast je otisak horizonta događaja.
07:26
The reason we don't see light from there,
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Razlog zašto ne vidimo svetlost odatle
je što je svetlost koja bi stigla do nas sa tog mesta
07:28
is that the light that would come to us from that place
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07:30
was swallowed by the event horizon.
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apsorbovana horizontom događaja.
Dakle, to je to.
07:32
So that -- that's it.
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07:34
CA: And so when we think of a black hole,
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KA: Dakle, kada razmišljamo o crnoj rupi,
07:36
you think of these huge rays jetting out of it,
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pomišljamo na te ogromne zrake kako sevaju iz nje,
07:39
which are pointed directly in our direction.
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a koji su usmereni tačno u našem pravcu.
07:41
Why don't we see them?
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Zašto ih ne vidimo?
07:42
SD: This is a very powerful black hole.
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ŠD: Ovo je veoma moćna crna rupa.
07:44
Not by universal standards, it's still powerful,
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Ne po standardima univerzuma, ali je i dalje moćna,
07:48
and from the north and south poles of this black hole
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a sa severnih i južnih polova ove crne rupe
07:50
we think that jets are coming.
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smatramo da stižu svi ti mlazevi.
07:52
Now, we're too close to really see all the jet structure,
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Sad, suviše smo blizu da bismo zaista videli strukturu mlaza,
07:56
but it's the base of those jets that are illuminating the space-time.
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ali osnova tih mlazeva osvetljava vreme-prostor.
07:59
And that's what's being bent around the black hole.
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I to je ono što se povija oko crne rupe.
08:03
CA: And if you were in a spaceship whirling around that thing somehow,
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KA: A kad bismo u svemirskom brodu nekako kružili oko te stvari,
08:07
how long would it take to actually go around it?
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koliko bi nam trebalo da je obiđemo?
08:09
SD: First, I would give anything to be in that spaceship.
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ŠD: Pre svega, sve bih dao da budem u tom svemirskom brodu.
08:12
(Laughter)
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(Smeh)
08:14
Sign me up.
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Upišite me.
08:16
There’s something called the -- if I can get wonky for one moment --
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Postoji nešto što se zove - ako mogu da budem malo neprecizan -
08:19
the innermost stable circular orbit,
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najdublja stabilna kružna orbita,
08:21
that's the innermost orbit at which matter can move around a black hole
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to je unutrašnja orbita u kojoj materija može da kruži oko crne rupe
08:25
before it spirals in.
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pre nego što spiralno ponire.
08:26
And for this black hole, it's going to be between three days and about a month.
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A u slučaju ove crne rupe, to će da traje između tri dana i oko jednog meseca.
08:32
CA: It's so powerful, it's weirdly slow at one level.
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KA: Toliko je moćno, čudnovato sporo na neki način.
08:35
I mean, you wouldn't even notice
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Mislim, ne biste čak ni primetili
08:38
falling into that event horizon if you were there.
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upadanje u taj horizont događaja kad biste bili tamo.
08:42
SD: So you may have heard of "spaghettification,"
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ŠD: Možda ste čuli za „špagetizaciju”,
08:45
where you fall into a black hole
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gde upadnete u crnu rupu,
08:46
and the gravitational field on your feet is much stronger than on your head,
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a gravitaciono polje na vašim stopalima je mnogo snažnije nego na glavi,
08:50
so you're ripped apart.
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te ste raskomadani.
08:51
This black hole is so big
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Ova crna rupa je toliko velika
08:54
that you're not going to become a spaghetti noodle.
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da nećete postati špageta.
08:57
You're just going to drift right through that event horizon.
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Prosto ćete da propadnete kroz taj horizont događaja.
09:00
CA: So, it's like a giant tornado.
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KA: Dakle, to je kao džinovski tornado.
09:02
When Dorothy was whipped by a tornado, she ended up in Oz.
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Kada je Doroti zgrabio tornado, završila je u Ozu.
09:05
Where do you end up if you fall into a black hole?
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Gde bismo mi završili, ako bismo upali u crnu rupu?
09:08
(Laughter)
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(Smeh)
09:09
SD: Vancouver.
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ŠD: U Vankuveru.
09:11
(Laughter)
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(Smeh)
09:13
CA: Oh, my God.
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KA: O, moj bože.
09:14
(Applause)
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(Aplauz)
09:16
It's the red circle, that's terrifying.
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Crveni krug, zastrašujuće je.
09:20
No, really.
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Ne, zaista.
09:21
SD: Black holes really are the central mystery of our age,
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ŠD: Crne rupe zaista jesu velike misterije našeg doba
09:25
because that's where the quantum world and the gravitational world come together.
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jer se tu spajaju kvantni svet i gravitacioni svet.
Unutra je singularnost.
09:29
What's inside is a singularity.
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09:30
And that's where all the forces become unified,
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A tu sve sile postaju ujedinjene
09:33
because gravity finally is strong enough to compete with all the other forces.
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jer je gravitacija konačno dovoljno snažna da se nadmeće sa drugim silama.
09:37
But it's hidden from us,
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Međutim, to je skriveno od nas,
09:39
the universe has cloaked it in the ultimate invisibility cloak.
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univerzum ga je ogrnuo vrhunskim ogrtačem nevidljivosti.
09:43
So we don't know what happens in there.
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Stoga mi ne znamo šta se tamo dešava.
09:45
CA: So there's a smaller one of these in our own galaxy.
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KA: Dakle, imamo jednu sličnu, manju u našoj galaksiji.
09:47
Can we go back to our own beautiful galaxy?
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Možemo li da se vratimo na našu lepu galaksiju?
09:49
This is the Milky Way, this is home.
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Ovo je Mlečni put, ovo je dom.
09:51
And somewhere in the middle of that there's another one,
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A negde u središtu se krije još jedna,
koju takođe pokušavate da nađete.
09:54
which you're trying to find as well.
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ŠD: Već znamo da je tu i već smo uzeli podatke o njoj.
09:56
SD: We already know it's there, and we've already taken data on it.
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I trenutno radimo na tim podacima.
09:59
And we're working on those data right now.
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Nadamo se da ćemo da imamo nešto u bliskoj budućnosti,
10:01
So we hope to have something in the near future, I can't say when.
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ne mogu da kažem kad.
10:05
CA: It's way closer but also a lot smaller,
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KA: Mnogo je bliže, ali je i mnogo manja,
10:07
maybe the similar kind of size to what we saw?
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možda slične veličine kao ono što smo videli?
10:09
SD: Right. So it turns out that the black hole in M87,
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ŠT: Upravo. Ispostavlja se da je crna rupa u M87,
10:13
that we saw before,
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koju smo malopre videli,
10:14
is six and a half billion solar masses.
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veličine šest i po milijardi Sunčeve mase.
10:16
But it's so far away that it appears a certain size.
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Međutim, toliko je daleko da se čini određene veličine.
10:20
The black hole in the center of our galaxy is a thousand times less massive,
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Crna rupa u središtu naše galaksije je hiljadu puta manje mase,
10:23
but also a thousand times closer.
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ali je i hiljadu puta bliža.
10:25
So it looks the same angular size on the sky.
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Pa, izgleda iste ugaone veličine na nebu.
10:29
CA: Finally, I guess, a nod to a remarkable group of people.
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KA: Za kraj, pretpostavljam, naklon za izvanrednu grupu ljudi.
10:32
Who are these guys?
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Ko su ti ljudi?
10:33
SD: So these are only some of the team.
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ŠD: Ovo je samo deo ekipe.
10:36
We marveled at the resonance that this image has had.
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Čudili smo se odjeku koji je ova slika imala.
10:42
If you told me that it would be above the fold in all of these newspapers,
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Da ste mi rekli da će da bude na naslovnicama svih ovih novina,
10:45
I'm not sure I would have believed you, but it was.
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nisam siguran da bih vam verovao, ali jeste.
Jer se radi o velikoj misteriji
10:48
Because this is a great mystery,
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10:49
and it's inspiring for us, and I hope it's inspiring to everyone.
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koja nas inspiriše, a nadam se da inspiriše svakoga.
10:53
But the more important thing is that this is just a small number of the team.
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Međutim, važnija stvar je da je ovo tek mali deo ekipe.
Ima nas 200 u 60 instituta
10:57
We're 200 people strong with 60 institutes
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10:59
and 20 countries and regions.
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i 20 država i regiona.
11:01
If you want to build a global telescope you need a global team.
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Ako želite da sagradite globalni teleskop, potrebna vam je globalna ekipa.
11:04
And this technique that we use of linking telescopes around the world
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A tehnika koju koristimo da povežemo teleskope širom sveta
11:08
kind of effortlessly sidesteps some of the issues that divide us.
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nekako bez napora prevazilazi neka od pitanja koja nas razdvajaju.
11:13
And as scientists, we naturally come together to do something like this.
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A kao naučnici, prirodno se okupljamo zbog sličnih stvari.
11:17
CA: Wow, boy, that's inspiring for our whole team this week.
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KA: Čoveče, ala je to inspirativno za čitavu našu ekipu ove nedelje.
11:21
Shep, thank you so much for what you did and for coming here.
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Šep, mnogo ti hvala za sve i što si došao ovde.
11:24
SD: Thank you.
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ŠD: Hvala tebi.
11:25
(Applause)
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(Aplauz)
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