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Understanding the concept of infinity | Ana Bercaru | TEDxBucharest


hello everyone thank you for being here

hello everyone thank you for being here and excuse me I’m a bit nervous so I

and excuse me I’m a bit nervous so I

and excuse me I’m a bit nervous so I probably I don’t know I’m nervous

probably I don’t know I’m nervous

probably I don’t know I’m nervous so I’m Anna I’m 16 years old and I’m a

so I’m Anna I’m 16 years old and I’m a

so I’m Anna I’m 16 years old and I’m a high school student and what makes me

high school student and what makes me

high school student and what makes me ahead of my time is my keen for science

ahead of my time is my keen for science

ahead of my time is my keen for science it all started as a kid since since my

it all started as a kid since since my

it all started as a kid since since my mom was a map is a math teacher

mom was a map is a math teacher

mom was a map is a math teacher I sit on the table and while she was

I sit on the table and while she was

I sit on the table and while she was teaching God other children and I used

teaching God other children and I used

teaching God other children and I used to hear the phrase when when X tends to

to hear the phrase when when X tends to

to hear the phrase when when X tends to infinity and I was really curious about

infinity and I was really curious about

infinity and I was really curious about this term infinity and I started asking

this term infinity and I started asking

this term infinity and I started asking questions and the answers were pretty

questions and the answers were pretty

questions and the answers were pretty much the same you know it’s endless in

much the same you know it’s endless in

much the same you know it’s endless in mathematics just the symbol and it does

mathematics just the symbol and it does

mathematics just the symbol and it does exist in reality so I guess that as a

exist in reality so I guess that as a

exist in reality so I guess that as a four-year-old I was pretty satisfied

four-year-old I was pretty satisfied

four-year-old I was pretty satisfied with those answers but as we grew up I

with those answers but as we grew up I

with those answers but as we grew up I realized that there was something

realized that there was something

realized that there was something terribly disturbing about those

terribly disturbing about those

terribly disturbing about those explanations because they weren’t simply

explanations because they weren’t simply

explanations because they weren’t simply enough and I think I realized that there

enough and I think I realized that there

enough and I think I realized that there was not there is no man in this world

was not there is no man in this world

was not there is no man in this world that actually understands infinity and

that actually understands infinity and

that actually understands infinity and why is it there why do we need this

why is it there why do we need this

why is it there why do we need this concept why did we came up with this in

concept why did we came up with this in

concept why did we came up with this in the first place and I I also like to

the first place and I I also like to

the first place and I I also like to mention no I also like to mention yet

mention no I also like to mention yet

mention no I also like to mention yet that my this thirst for information

that my this thirst for information

that my this thirst for information was born from watching sci-fi movies and

was born from watching sci-fi movies and

was born from watching sci-fi movies and from there I learned that the universe

from there I learned that the universe

from there I learned that the universe is infinite and then I clicked I said to

is infinite and then I clicked I said to

is infinite and then I clicked I said to myself that maybe if I would gain more

myself that maybe if I would gain more

myself that maybe if I would gain more information about the universe maybe

information about the universe maybe

information about the universe maybe then I would understand infinity and of

then I would understand infinity and of

then I would understand infinity and of course this is just a state

course this is just a state

course this is just a state you cannot prove me right but she also

you cannot prove me right but she also

you cannot prove me right but she also cannot prove me wrong as you know

cannot prove me wrong as you know

cannot prove me wrong as you know sometimes you must go blindly through

sometimes you must go blindly through

sometimes you must go blindly through understand to enlighten things you must

understand to enlighten things you must

understand to enlighten things you must make assumptions

make assumptions

make assumptions so I also learn from there that we have

so I also learn from there that we have

so I also learn from there that we have access only to the observable universe

access only to the observable universe

access only to the observable universe and this was a huge constraint for my

and this was a huge constraint for my

and this was a huge constraint for my life mission to conquer did conquer

life mission to conquer did conquer

life mission to conquer did conquer infinity and the only way to break this

infinity and the only way to break this

infinity and the only way to break this boundary is by breaking the speed of

boundary is by breaking the speed of

boundary is by breaking the speed of light and the only way to do that is

light and the only way to do that is

light and the only way to do that is using the what so called

using the what so called

using the what so called D EFT the FTL methods which you guessed

D EFT the FTL methods which you guessed

D EFT the FTL methods which you guessed it’s faster than light travel methods

it’s faster than light travel methods

it’s faster than light travel methods and one of these methods the one that

and one of these methods the one that

and one of these methods the one that I’m going to talk about today is called

I’m going to talk about today is called

I’m going to talk about today is called warp drive so what is warp drive

we’ve all heard we’ve all seen or at

we’ve all heard we’ve all seen or at least heard of the the technology of

least heard of the the technology of

least heard of the the technology of Star Trek and there was a time when the

Star Trek and there was a time when the

Star Trek and there was a time when the street wasn’t written and the directors

street wasn’t written and the directors

street wasn’t written and the directors all they knew is that they wanted to

all they knew is that they wanted to

all they knew is that they wanted to make a space opera which implies wise

make a space opera which implies wise

make a space opera which implies wise definition space travel but there also

definition space travel but there also

definition space travel but there also was a problem they wanted the scripts to

was a problem they wanted the scripts to

was a problem they wanted the scripts to stand to stay on terms with the laws of

stand to stay on terms with the laws of

stand to stay on terms with the laws of physics so where is the problem here

physics so where is the problem here

physics so where is the problem here okay

even if the USS Enterprise would travel

even if the USS Enterprise would travel at the speed of light

at the speed of light

at the speed of light it would need it would need twenty

it would need it would need twenty

it would need it would need twenty twenty-five thousand years to reach only

twenty-five thousand years to reach only

twenty-five thousand years to reach only the center of our galaxy so watching the

the center of our galaxy so watching the

the center of our galaxy so watching the grass grow would be far more interesting

grass grow would be far more interesting

grass grow would be far more interesting and the

and the

and the a serious problem so that’s how they

a serious problem so that’s how they

a serious problem so that’s how they came up with this warp drive this

came up with this warp drive this

came up with this warp drive this concept of course today I’m not going to

concept of course today I’m not going to

concept of course today I’m not going to talk about the fictional one this warp

talk about the fictional one this warp

talk about the fictional one this warp drive I’m going to talk about the real

drive I’m going to talk about the real

drive I’m going to talk about the real one the one that extends to reality

one the one that extends to reality

one the one that extends to reality which has a different name and it’s

which has a different name and it’s

which has a different name and it’s called Alcubierre warp drive or simply

called Alcubierre warp drive or simply

called Alcubierre warp drive or simply Alcubierre drive so what is this weird

Alcubierre drive so what is this weird

Alcubierre drive so what is this weird thing in 1994 physicist Miguel

thing in 1994 physicist Miguel

thing in 1994 physicist Miguel Alcubierre proposed the way to solve the

Alcubierre proposed the way to solve the

Alcubierre proposed the way to solve the universal speed limit and that is

universal speed limit and that is

universal speed limit and that is nothing gets nothing that has mass can

nothing gets nothing that has mass can

nothing gets nothing that has mass can travel faster than the speed of light

travel faster than the speed of light

travel faster than the speed of light through space but wait a second I said

through space but wait a second I said

through space but wait a second I said that us we cannot travel through space

that us we cannot travel through space

that us we cannot travel through space what if instead I move the space around

what if instead I move the space around

what if instead I move the space around me so that’s what al Kabeer thought

me so that’s what al Kabeer thought

me so that’s what al Kabeer thought about and given the laws of general

about and given the laws of general

about and given the laws of general relativity you could do this because

relativity you could do this because

relativity you could do this because generativity tells us that space is

generativity tells us that space is

generativity tells us that space is dynamical it can expand it can contract

dynamical it can expand it can contract

dynamical it can expand it can contract and yeah you could do this and this is

and yeah you could do this and this is

and yeah you could do this and this is what I call a back door in physics

what I call a back door in physics

what I call a back door in physics proper banker in physics because the

proper banker in physics because the

proper banker in physics because the universe is just playing a little game

universe is just playing a little game

universe is just playing a little game with us all it provides you with all the

with us all it provides you with all the

with us all it provides you with all the stuff and it’s hidden in plain sight and

stuff and it’s hidden in plain sight and

stuff and it’s hidden in plain sight and it takes someone really smart to come

it takes someone really smart to come

it takes someone really smart to come and CD the simple in the complicated and

and CD the simple in the complicated and

and CD the simple in the complicated and that’s what I could be or did okay so

that’s what I could be or did okay so

that’s what I could be or did okay so how does it work imagine that we have a

how does it work imagine that we have a

how does it work imagine that we have a two point in space

two point in space

two point in space uh let’s say earth and the center of

uh let’s say earth and the center of

uh let’s say earth and the center of Milky Way and the space between these

Milky Way and the space between these

Milky Way and the space between these two points is a slinky right okay on the

two points is a slinky right okay on the

two points is a slinky right okay on the slinky we have a point where we say it’s

slinky we have a point where we say it’s

slinky we have a point where we say it’s our spaceship so if we expand the space

our spaceship so if we expand the space

our spaceship so if we expand the space behind the ship and contract the space

behind the ship and contract the space

behind the ship and contract the space in front of the ship making some kind of

in front of the ship making some kind of

in front of the ship making some kind of a sling out of space you would reach

a sling out of space you would reach

a sling out of space you would reach your destination without highly moving

your destination without highly moving

your destination without highly moving at all and that’s what al Kabeer is all

at all and that’s what al Kabeer is all

at all and that’s what al Kabeer is all about you could say maybe that for this

about you could say maybe that for this

about you could say maybe that for this method you drag your destination towards

method you drag your destination towards

method you drag your destination towards yourself and you push back your starting

yourself and you push back your starting

yourself and you push back your starting point okay so we’ve seen how this works

point okay so we’ve seen how this works

point okay so we’ve seen how this works but how do we make it happen one of the

but how do we make it happen one of the

but how do we make it happen one of the most interesting things about this and

most interesting things about this and

most interesting things about this and unique things about al Kabeer this

unique things about al Kabeer this

unique things about al Kabeer this traveled FTL travel method is that

traveled FTL travel method is that

traveled FTL travel method is that shouldn’t be affected by any

shouldn’t be affected by any

shouldn’t be affected by any relativistic effects like say time

relativistic effects like say time

relativistic effects like say time dilation

dilation

dilation so you that’s because you would sit in a

so you that’s because you would sit in a

so you that’s because you would sit in a bubble of unworked space and you would

bubble of unworked space and you would

bubble of unworked space and you would experience time as well as you didn’t

experience time as well as you didn’t

experience time as well as you didn’t earth so the only the only warp space is

earth so the only the only warp space is

earth so the only the only warp space is on the bubble not inside the bubble so

on the bubble not inside the bubble so

on the bubble not inside the bubble so you would come back home and not realize

you would come back home and not realize

you would come back home and not realize that your ten-year-old daughter daughter

that your ten-year-old daughter daughter

that your ten-year-old daughter daughter became a granny like poor old Cooper did

became a granny like poor old Cooper did

became a granny like poor old Cooper did if you know what I’m referring to if you

if you know what I’m referring to if you

if you know what I’m referring to if you see interstellar so

and al-kabir also showed that you

and al-kabir also showed that you wouldn’t be affected by any roulette any

wouldn’t be affected by any roulette any

wouldn’t be affected by any roulette any inertial effects also you this is a

inertial effects also you this is a

inertial effects also you this is a little bit more complicated to explain

little bit more complicated to explain

little bit more complicated to explain so I won’t get deeper into that but I

so I won’t get deeper into that but I

so I won’t get deeper into that but I want you to remember that you wouldn’t

want you to remember that you wouldn’t

want you to remember that you wouldn’t be squeezed to death when the sea when

be squeezed to death when the sea when

be squeezed to death when the sea when the ship is actually accelerating

the ship is actually accelerating

the ship is actually accelerating alright now how do we make it happen how

alright now how do we make it happen how

alright now how do we make it happen how do you make it work

do you make it work

do you make it work for that we are going to need to solve

for that we are going to need to solve

for that we are going to need to solve Einstein’s field equations so bear with

Einstein’s field equations so bear with

Einstein’s field equations so bear with me for a second it is not too

me for a second it is not too

me for a second it is not too complicated I’m going to explain all

complicated I’m going to explain all

complicated I’m going to explain all right why we do this it’s because these

right why we do this it’s because these

right why we do this it’s because these equations tell us how space behaves

equations tell us how space behaves

equations tell us how space behaves under the presence of a distribution of

under the presence of a distribution of

under the presence of a distribution of matter but because they are equations we

matter but because they are equations we

matter but because they are equations we can solve them backwards and suppose I

can solve them backwards and suppose I

can solve them backwards and suppose I want space to do something I can find

want space to do something I can find

want space to do something I can find out how to put matter to put a mat to

out how to put matter to put a mat to

out how to put matter to put a mat to put a chunk of matter in place to in

put a chunk of matter in place to in

put a chunk of matter in place to in order to make space do what I want and

order to make space do what I want and

order to make space do what I want and as expected to contract the space in

as expected to contract the space in

as expected to contract the space in front in front of the ship we would need

front in front of the ship we would need

front in front of the ship we would need a lot of mass that’s what it does but in

a lot of mass that’s what it does but in

a lot of mass that’s what it does but in order to expand space we would need

order to expand space we would need

order to expand space we would need something really really really weird

something really really really weird

something really really really weird which is negative mass and this is the

which is negative mass and this is the

which is negative mass and this is the major problem that’s why we are not

major problem that’s why we are not

major problem that’s why we are not jumping into ships right now and go

jumping into ships right now and go

jumping into ships right now and go search another world because it’s still

search another world because it’s still

search another world because it’s still us it’s still a weird idea right now

us it’s still a weird idea right now

us it’s still a weird idea right now some people think that despite the

some people think that despite the

some people think that despite the advantages that it brings negative mass

advantages that it brings negative mass

advantages that it brings negative mass I mean

I mean

I mean it remains in the large-scale pretty

it remains in the large-scale pretty

it remains in the large-scale pretty horrifying thermodynamically speaking

horrifying thermodynamically speaking

horrifying thermodynamically speaking that’s because negative mass experiences

that’s because negative mass experiences

that’s because negative mass experiences gravity as a repulsive force so say I

gravity as a repulsive force so say I

gravity as a repulsive force so say I had an apple an apple of negative mass

had an apple an apple of negative mass

had an apple an apple of negative mass this Apple wouldn’t fall word Newton

this Apple wouldn’t fall word Newton

this Apple wouldn’t fall word Newton head Newton said it would fly away from

head Newton said it would fly away from

head Newton said it would fly away from it so say I have two bunches of of

it so say I have two bunches of of

it so say I have two bunches of of [Music]

[Music]

[Music] masses with opposite sign then the the

masses with opposite sign then the the

masses with opposite sign then the the the positive mass would attract the

the positive mass would attract the

the positive mass would attract the negative mass and then the negative mass

negative mass and then the negative mass

negative mass and then the negative mass would repel the positive mass and then

would repel the positive mass and then

would repel the positive mass and then again the positive mass would attract

again the positive mass would attract

again the positive mass would attract the negative mass and so on to infinity

the negative mass and so on to infinity

the negative mass and so on to infinity and this gives us a

and this gives us a

and this gives us a perpetuum mobile’ a which is a very

perpetuum mobile’ a which is a very

perpetuum mobile’ a which is a very thermodynamically no thanks all right of

thermodynamically no thanks all right of

thermodynamically no thanks all right of course some of us have winter break

course some of us have winter break

course some of us have winter break thermodynamics to fulfill their dreams

thermodynamics to fulfill their dreams

thermodynamics to fulfill their dreams so d the good news is that is that

so d the good news is that is that

so d the good news is that is that negative mass isn’t actually impossible

negative mass isn’t actually impossible

negative mass isn’t actually impossible it’s been made in a lab actually thanks

it’s been made in a lab actually thanks

it’s been made in a lab actually thanks to quantum mechanics which is just

to quantum mechanics which is just

to quantum mechanics which is just another word for magic so yeah um of

another word for magic so yeah um of

another word for magic so yeah um of course it’s it ought to be this this

course it’s it ought to be this this

course it’s it ought to be this this experiment that gave gave negative mass

experiment that gave gave negative mass

experiment that gave gave negative mass which is by the way called it’s inspired

which is by the way called it’s inspired

which is by the way called it’s inspired by the Casimir effect well I’m not going

by the Casimir effect well I’m not going

by the Casimir effect well I’m not going to explain that that’s far – all right

to explain that that’s far – all right

to explain that that’s far – all right this gave negative mass for a very short

this gave negative mass for a very short

this gave negative mass for a very short period of time and it’s thought to be

period of time and it’s thought to be

period of time and it’s thought to be impractical because we don’t know if we

impractical because we don’t know if we

impractical because we don’t know if we could if we could do this on a large

could if we could do this on a large

could if we could do this on a large scale if we could get enough negative

scale if we could get enough negative

scale if we could get enough negative mass so it’s still an open question

mass so it’s still an open question

mass so it’s still an open question of course what we are doing right now

of course what we are doing right now

of course what we are doing right now are just baby steps but in the end we

are just baby steps but in the end we

are just baby steps but in the end we must remember that a game-changing idea

must remember that a game-changing idea

must remember that a game-changing idea was in the first place it was impossible

was in the first place it was impossible

was in the first place it was impossible until someone came and said no it’s not

until someone came and said no it’s not

until someone came and said no it’s not impossible it’s necessary and I wake up

impossible it’s necessary and I wake up

impossible it’s necessary and I wake up every morning I know that I know that

every morning I know that I know that

every morning I know that I know that the odds seem against me they’re all up

the odds seem against me they’re all up

the odds seem against me they’re all up against me and I and I wake up every

against me and I and I wake up every

against me and I and I wake up every every morning and I tell myself that

every morning and I tell myself that

every morning and I tell myself that reality is the product of dreams so that

reality is the product of dreams so that

reality is the product of dreams so that I I don’t lose hope and I keep going on

I I don’t lose hope and I keep going on

I I don’t lose hope and I keep going on in order to fulfill my life mission of

in order to fulfill my life mission of

in order to fulfill my life mission of conquering infinity and I would like to

conquering infinity and I would like to

conquering infinity and I would like to leave with this passing top thoughts

leave with this passing top thoughts

leave with this passing top thoughts which is a cult from Ulysses and it is

which is a cult from Ulysses and it is

which is a cult from Ulysses and it is like this come my friends this is not

like this come my friends this is not

like this come my friends this is not too late to seek in your world to save

too late to seek in your world to save

too late to seek in your world to save beyond to sail beyond the sunset and the

beyond to sail beyond the sunset and the

beyond to sail beyond the sunset and the best of the western stars until I die

best of the western stars until I die

best of the western stars until I die thank you for your attention

thank you for your attention

thank you for your attention [Applause]

[Applause]

[Applause] [Music]

[Music]

[Music] you

you

you [Applause]

”

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