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[00:08]: [Music]
[00:12]: welcome back to science click today what
[00:14]: would we see if we approach the speed of
[00:19]: light let's Embark together on a
[00:21]: spaceship which accelerates away from
[00:24]: Earth moving faster and
[00:27]: faster what would we see when con L
[00:31]: accelerating what Optical effects would
[00:34]: occur and if we tried to exceed light
[00:36]: speed by bending SpaceTime like in
[00:39]: Sci-Fi movies what would we
[00:42]: see answering these questions will lead
[00:44]: us to explore many fascinating phenomena
[00:47]: of our universe and immerse ourselves at
[00:50]: the heart of special and general
[00:58]: relativity our spacecraft raft is
[01:00]: initially at
[01:02]: rest once launched we begin to
[01:06]: accelerate we imagine that its
[01:08]: propulsion system allows us to
[01:10]: accelerate constantly as long as we
[01:14]: wish as we gain speed we move away from
[01:19]: Earth by accelerating more and more one
[01:22]: would think that the speed would
[01:23]: eventually become
[01:25]: unbearable however this is not the case
[01:27]: speed has no effect on our body
[01:30]: when two trains cross it is impossible
[01:33]: to feel whether it is our train or the
[01:35]: other which is at
[01:37]: rest similarly inside the spaceship we
[01:40]: cannot feel its speed but only its
[01:42]: acceleration the thrust of the reactors
[01:45]: which presses us against our seats if
[01:48]: this thrust is reasonable it will be
[01:50]: perfectly bearable all along our journey
[01:53]: even When approaching the speed of
[01:58]: light there is nonetheless a risk
[02:00]: associated with very high speeds a
[02:03]: collision at High Velocity a mere Speck
[02:07]: of dust would cause colossal damage if
[02:09]: it hit us fortunately our ship is
[02:12]: equipped with a force field that repels
[02:15]: dangerous objects and allows us to roam
[02:17]: freely through
[02:21]: space as we accelerate a first Optical
[02:25]: effect appears the stars in front of us
[02:28]: which we get closer to seem to gradually
[02:30]: move away the sky contracts before
[02:35]: us to understand think of this common
[02:39]: situation you are in a car driving at
[02:42]: high speed and it starts to
[02:45]: rain the rain falls vertically from top
[02:48]: to bottom but as the car moves forwards
[02:51]: you receive raindrops on the windshield
[02:53]: from face on the rain does not appear to
[02:56]: fall from above but from the front as if
[02:58]: its trajectory were tilted and the more
[03:01]: you accelerate the more the rain seems
[03:03]: to come from face
[03:05]: on in our spaceship the optical effect
[03:08]: is perfectly analogous the stars's light
[03:11]: comes from a certain direction but as we
[03:14]: accelerate the light rays appear to come
[03:16]: more and more from the front their
[03:18]: Direction seems different when we are in
[03:22]: motion this is the aberration of
[03:26]: light as light focuses in front of us
[03:29]: its intensity
[03:32]: increases while behind us the sky seems
[03:35]: to widen and becomes
[03:40]: darker the aberration of light results
[03:43]: in another strange
[03:45]: phenomenon let's imagine we are moving
[03:47]: through an immense grid representing the
[03:49]: fabric of
[03:51]: space ordinarily we would see a straight
[03:54]: grid made up of straight lines
[03:56]: converging in front of us due to
[03:58]: perspective
[04:02]: however by speeding up the aberration
[04:04]: phenomenon distorts the image of the sky
[04:07]: around us as the days go by the grid
[04:10]: seems to contract forward and the
[04:12]: straight lines
[04:14]: Bend if we were to go past an object it
[04:18]: would appear to be slightly angled in
[04:20]: our
[04:21]: Direction This is called Terell Penrose
[04:25]: rotation as we move very quickly images
[04:28]: of objects seem contracted in front of
[04:30]: us and perspective is strongly
[04:35]: [Music]
[04:37]: distorted we often hear that the further
[04:40]: we look into space the further we look
[04:43]: into the
[04:44]: past indeed the light we receive from a
[04:47]: distant star must travel billions of
[04:50]: kilometers this journey is not
[04:52]: instantaneous and it takes him time for
[04:54]: light to reach
[04:56]: us as a result we see the star as it was
[04:59]: in the past when it emitted this light
[05:02]: perhaps several thousand years ago who
[05:04]: knows how it might have changed since
[05:08]: then looking out from our spaceship the
[05:10]: same phenomenon is at work as we move
[05:13]: away from Earth the planet's light takes
[05:16]: longer and longer to reach
[05:20]: us if we could zoom in with a telescope
[05:23]: we would see people on Earth evolving in
[05:25]: slow
[05:26]: motion this is the Doppler effect each
[05:30]: tick of the clocks on Earth takes longer
[05:32]: and longer to reach us we receive light
[05:35]: rays in slow motion and their intensity
[05:37]: seems to weaken as the image of the
[05:40]: planet shifts towards red
[05:44]: color in front of us it's the opposite
[05:47]: effect the ship catches up with the
[05:49]: light and the Stars seem to get brighter
[05:52]: they shift towards blue color and their
[05:54]: clock seem to tick faster
[05:59]: with precise enough equipment we could
[06:02]: measure the aberration and Doppler
[06:04]: effects since the start of our
[06:05]: acceleration in
[06:07]: space however if we decided to end our
[06:10]: journey and return to Earth these
[06:12]: effects would have had no impact they
[06:14]: are only optical illusions due to the
[06:17]: way we receive light while
[06:21]: moving after several 100 days however as
[06:25]: the reactors push us ever faster the
[06:27]: ship begins to approach light speed
[06:30]: at such speeds some phenomena will no
[06:32]: longer be mere optical illusions real
[06:35]: physical effects will kick in with
[06:37]: irreversible
[06:39]: consequences special relativity comes
[06:41]: into
[06:46]: play a first consequence of Relativity
[06:49]: is known as time
[06:51]: dilation our universe is a huge
[06:54]: four-dimensional fabric called SpaceTime
[06:57]: made up of three dimensions of space and
[06:59]: one dimension of time inside SpaceTime
[07:03]: all bodies trace a trajectory since they
[07:06]: all Advance towards their
[07:08]: future before takeoff our ship was
[07:11]: moving in the same way as Earth towards
[07:14]: the future but by picking up speed and
[07:17]: zooming away from Earth faster and
[07:19]: faster our trajectory gradually deviated
[07:22]: from that of the
[07:23]: planet the axis we call time is no
[07:26]: longer aligned with the time axis of
[07:29]: people on Earth if we decided to turn
[07:32]: around and come back our clocks would
[07:34]: have measured a different time and we
[07:37]: would have aged less than earthlings
[07:39]: because our trajectories in SpaceTime
[07:41]: would have been
[07:43]: [Music]
[07:44]: different another key consequence of
[07:47]: special relativity is called length
[07:50]: contraction when a body moves at close
[07:52]: to light speed its length gets
[07:54]: contracted in the direction of its
[07:57]: motion from the space ship's perspective
[08:00]: the entire universe is moving backwards
[08:03]: for us the universe is contracted along
[08:06]: our direction of motion as such the
[08:10]: length of the journey to reach our
[08:11]: destination is shorter than
[08:14]: expected we are not talking about
[08:16]: Optical effects anymore but of a
[08:18]: physical and concrete phenomenon if we
[08:21]: tried to reach a distant star the
[08:24]: journey would genuinely seem shorter to
[08:26]: us it would take less and less time the
[08:28]: faster we move
[08:29]: move thus contrary to popular
[08:32]: misconception it is in fact possible to
[08:35]: travel thousands of light years in just
[08:37]: a few seconds and in the case where we
[08:40]: would move almost at light speed the
[08:42]: journey would even seem instantaneous to
[08:45]: us for the people on Earth however
[08:48]: several thousand years would have
[08:51]: [Music]
[08:53]: passed length contraction is a very real
[08:57]: phenomenon however visually it would be
[09:00]: difficult to
[09:01]: see to understand why imagine that we
[09:04]: cross the orbit of a
[09:07]: planet as it moves very quickly towards
[09:09]: us the planet's length is
[09:12]: contracted but remember the farther we
[09:15]: look into space the farther we look into
[09:17]: the past and from our perspective the
[09:20]: back of the planet is located further in
[09:23]: space than the front of the planet the
[09:26]: image that we receive from the back of
[09:28]: the planet has taken longer to reach us
[09:31]: so we see it as it was in the
[09:34]: past even if it is contracted the planet
[09:37]: does not look like it because we receive
[09:39]: the image of its back with a
[09:43]: delay rather than contracted it appears
[09:46]: to be
[09:47]: rotated this is a phenomenon we have
[09:50]: already seen Terell penrose's
[09:53]: rotation when we move very fast and look
[09:56]: to our side the edges of the object
[09:58]: around us seem shorter in the direction
[10:01]: of motion this can be interpreted either
[10:04]: as length contraction or as a rotation
[10:08]: as a change in
[10:11]: perspective for the same reason a person
[10:14]: watching us soon by would not really see
[10:16]: our ship contracted but rather rotated
[10:19]: on
[10:21]: [Music]
[10:24]: itself over time our field of view
[10:27]: continues to contract it intensifies in
[10:30]: front of us while going completely black
[10:32]: behind
[10:33]: us by accelerating more and more we
[10:36]: would perhaps expect to reach the speed
[10:38]: of light at some point what would we see
[10:42]: then this question might be one of the
[10:45]: most fundamental in
[10:47]: relativity the answer is no even if the
[10:51]: ship accelerates constantly we will
[10:52]: never reach the speed of
[10:55]: light that is because the speed of light
[10:57]: is absolute you may try to catch a light
[11:00]: Ray but from your point of view it will
[11:03]: always Escape at the same speed the
[11:05]: speed of
[11:06]: light you may accelerate as much as you
[11:09]: wish even if from Earth you would seem
[11:11]: to approach the speed of light from your
[11:14]: point of view you are still motionless
[11:16]: and light Escapes
[11:20]: [Music]
[11:21]: inexorably in short it is strictly
[11:24]: impossible to exceed or even reach the
[11:27]: speed of light at best
[11:29]: our ship will continue to accelerate
[11:31]: forever and our field of vision will
[11:34]: continue to shrink ever more until
[11:36]: forming an infinitely bright spot in
[11:38]: front of us surrounded by a completely
[11:41]: black
[11:42]: Sky almost at light speed all Optical
[11:45]: effects would become
[11:47]: Extreme as we catch up with light rays
[11:50]: before us they all seem to come from the
[11:52]: front meanwhile the Rays behind us can
[11:55]: never reach
[11:57]: us in our frame of reference the
[12:01]: universe would be extremely contracted
[12:03]: like a thin fabric that we would cross
[12:05]: from side to side in a fraction of a
[12:08]: second for a person on Earth we'd be
[12:11]: moving at the speed of light but for us
[12:14]: the trip seems instantaneous we move
[12:17]: infinitely
[12:21]: fast to conclude nothing can ever move
[12:25]: faster than light through
[12:27]: space but there might be way to
[12:29]: circumvent this
[12:31]: rule in fact nothing prohibits space
[12:34]: itself from moving faster than
[12:38]: light indeed the theory of general
[12:41]: relativity teaches us that the fabric of
[12:43]: SpaceTime is dynamic it can bend in
[12:46]: multiple
[12:47]: ways we could thus imagine creating a
[12:50]: bubble around our spaceship which we
[12:53]: would Propel faster than light this is
[12:56]: called a warp drive in reference to
[12:58]: science fiction
[13:00]: it would no longer be a matter of
[13:01]: zooming a vehicle through space but of
[13:04]: propelling the fabric of space itself
[13:07]: our ship would remain motionless surfing
[13:10]: on a wave of faster than light
[13:13]: SpaceTime such a structure may seem
[13:15]: absurd and indeed it is currently
[13:18]: thought to be impossible to achieve
[13:20]: producing a warp drive would require
[13:22]: bending SpaceTime with huge amounts of
[13:24]: negative Mass a form of matter that does
[13:28]: not seem to exist in our
[13:30]: universe that said mathematics still
[13:32]: allow us to model and calculate what we
[13:35]: would see in such a
[13:37]: situation if we looked from outside the
[13:40]: warp drive would seem to appear out of
[13:42]: nowhere the curvature of SpaceTime
[13:45]: deviates the trajectory of light rays
[13:47]: forming a moving lens which splits into
[13:50]: two one part moving forwards and the
[13:53]: other retreating in the opposite
[13:56]: direction light travels slower than the
[13:58]: warp drive itself when it approaches
[14:01]: light has not yet had the time to reach
[14:03]: us and after it crosses us we receive
[14:07]: both the light which had not yet reached
[14:09]: us and the rays which were emitted
[14:14]: later looking from the inside of the
[14:16]: warp drive we would see the sky
[14:19]: contracted in front of us and very
[14:21]: bright behind us the universe would look
[14:24]: extremely dark and a whole patch of the
[14:27]: sky would simply vanish from our view
[14:30]: the light emitted from there is too slow
[14:32]: to catch up with us a cone of the
[14:35]: universe remains permanently invisible
[14:39]: [Music]
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Keynotes
Loading
Summary
Loading
Transcripts
[00:08]: [Music]
[00:12]: welcome back to science click today what
[00:14]: would we see if we approach the speed of
[00:19]: light let's Embark together on a
[00:21]: spaceship which accelerates away from
[00:24]: Earth moving faster and
[00:27]: faster what would we see when con L
[00:31]: accelerating what Optical effects would
[00:34]: occur and if we tried to exceed light
[00:36]: speed by bending SpaceTime like in
[00:39]: Sci-Fi movies what would we
[00:42]: see answering these questions will lead
[00:44]: us to explore many fascinating phenomena
[00:47]: of our universe and immerse ourselves at
[00:50]: the heart of special and general
[00:58]: relativity our spacecraft raft is
[01:00]: initially at
[01:02]: rest once launched we begin to
[01:06]: accelerate we imagine that its
[01:08]: propulsion system allows us to
[01:10]: accelerate constantly as long as we
[01:14]: wish as we gain speed we move away from
[01:19]: Earth by accelerating more and more one
[01:22]: would think that the speed would
[01:23]: eventually become
[01:25]: unbearable however this is not the case
[01:27]: speed has no effect on our body
[01:30]: when two trains cross it is impossible
[01:33]: to feel whether it is our train or the
[01:35]: other which is at
[01:37]: rest similarly inside the spaceship we
[01:40]: cannot feel its speed but only its
[01:42]: acceleration the thrust of the reactors
[01:45]: which presses us against our seats if
[01:48]: this thrust is reasonable it will be
[01:50]: perfectly bearable all along our journey
[01:53]: even When approaching the speed of
[01:58]: light there is nonetheless a risk
[02:00]: associated with very high speeds a
[02:03]: collision at High Velocity a mere Speck
[02:07]: of dust would cause colossal damage if
[02:09]: it hit us fortunately our ship is
[02:12]: equipped with a force field that repels
[02:15]: dangerous objects and allows us to roam
[02:17]: freely through
[02:21]: space as we accelerate a first Optical
[02:25]: effect appears the stars in front of us
[02:28]: which we get closer to seem to gradually
[02:30]: move away the sky contracts before
[02:35]: us to understand think of this common
[02:39]: situation you are in a car driving at
[02:42]: high speed and it starts to
[02:45]: rain the rain falls vertically from top
[02:48]: to bottom but as the car moves forwards
[02:51]: you receive raindrops on the windshield
[02:53]: from face on the rain does not appear to
[02:56]: fall from above but from the front as if
[02:58]: its trajectory were tilted and the more
[03:01]: you accelerate the more the rain seems
[03:03]: to come from face
[03:05]: on in our spaceship the optical effect
[03:08]: is perfectly analogous the stars's light
[03:11]: comes from a certain direction but as we
[03:14]: accelerate the light rays appear to come
[03:16]: more and more from the front their
[03:18]: Direction seems different when we are in
[03:22]: motion this is the aberration of
[03:26]: light as light focuses in front of us
[03:29]: its intensity
[03:32]: increases while behind us the sky seems
[03:35]: to widen and becomes
[03:40]: darker the aberration of light results
[03:43]: in another strange
[03:45]: phenomenon let's imagine we are moving
[03:47]: through an immense grid representing the
[03:49]: fabric of
[03:51]: space ordinarily we would see a straight
[03:54]: grid made up of straight lines
[03:56]: converging in front of us due to
[03:58]: perspective
[04:02]: however by speeding up the aberration
[04:04]: phenomenon distorts the image of the sky
[04:07]: around us as the days go by the grid
[04:10]: seems to contract forward and the
[04:12]: straight lines
[04:14]: Bend if we were to go past an object it
[04:18]: would appear to be slightly angled in
[04:20]: our
[04:21]: Direction This is called Terell Penrose
[04:25]: rotation as we move very quickly images
[04:28]: of objects seem contracted in front of
[04:30]: us and perspective is strongly
[04:35]: [Music]
[04:37]: distorted we often hear that the further
[04:40]: we look into space the further we look
[04:43]: into the
[04:44]: past indeed the light we receive from a
[04:47]: distant star must travel billions of
[04:50]: kilometers this journey is not
[04:52]: instantaneous and it takes him time for
[04:54]: light to reach
[04:56]: us as a result we see the star as it was
[04:59]: in the past when it emitted this light
[05:02]: perhaps several thousand years ago who
[05:04]: knows how it might have changed since
[05:08]: then looking out from our spaceship the
[05:10]: same phenomenon is at work as we move
[05:13]: away from Earth the planet's light takes
[05:16]: longer and longer to reach
[05:20]: us if we could zoom in with a telescope
[05:23]: we would see people on Earth evolving in
[05:25]: slow
[05:26]: motion this is the Doppler effect each
[05:30]: tick of the clocks on Earth takes longer
[05:32]: and longer to reach us we receive light
[05:35]: rays in slow motion and their intensity
[05:37]: seems to weaken as the image of the
[05:40]: planet shifts towards red
[05:44]: color in front of us it's the opposite
[05:47]: effect the ship catches up with the
[05:49]: light and the Stars seem to get brighter
[05:52]: they shift towards blue color and their
[05:54]: clock seem to tick faster
[05:59]: with precise enough equipment we could
[06:02]: measure the aberration and Doppler
[06:04]: effects since the start of our
[06:05]: acceleration in
[06:07]: space however if we decided to end our
[06:10]: journey and return to Earth these
[06:12]: effects would have had no impact they
[06:14]: are only optical illusions due to the
[06:17]: way we receive light while
[06:21]: moving after several 100 days however as
[06:25]: the reactors push us ever faster the
[06:27]: ship begins to approach light speed
[06:30]: at such speeds some phenomena will no
[06:32]: longer be mere optical illusions real
[06:35]: physical effects will kick in with
[06:37]: irreversible
[06:39]: consequences special relativity comes
[06:41]: into
[06:46]: play a first consequence of Relativity
[06:49]: is known as time
[06:51]: dilation our universe is a huge
[06:54]: four-dimensional fabric called SpaceTime
[06:57]: made up of three dimensions of space and
[06:59]: one dimension of time inside SpaceTime
[07:03]: all bodies trace a trajectory since they
[07:06]: all Advance towards their
[07:08]: future before takeoff our ship was
[07:11]: moving in the same way as Earth towards
[07:14]: the future but by picking up speed and
[07:17]: zooming away from Earth faster and
[07:19]: faster our trajectory gradually deviated
[07:22]: from that of the
[07:23]: planet the axis we call time is no
[07:26]: longer aligned with the time axis of
[07:29]: people on Earth if we decided to turn
[07:32]: around and come back our clocks would
[07:34]: have measured a different time and we
[07:37]: would have aged less than earthlings
[07:39]: because our trajectories in SpaceTime
[07:41]: would have been
[07:43]: [Music]
[07:44]: different another key consequence of
[07:47]: special relativity is called length
[07:50]: contraction when a body moves at close
[07:52]: to light speed its length gets
[07:54]: contracted in the direction of its
[07:57]: motion from the space ship's perspective
[08:00]: the entire universe is moving backwards
[08:03]: for us the universe is contracted along
[08:06]: our direction of motion as such the
[08:10]: length of the journey to reach our
[08:11]: destination is shorter than
[08:14]: expected we are not talking about
[08:16]: Optical effects anymore but of a
[08:18]: physical and concrete phenomenon if we
[08:21]: tried to reach a distant star the
[08:24]: journey would genuinely seem shorter to
[08:26]: us it would take less and less time the
[08:28]: faster we move
[08:29]: move thus contrary to popular
[08:32]: misconception it is in fact possible to
[08:35]: travel thousands of light years in just
[08:37]: a few seconds and in the case where we
[08:40]: would move almost at light speed the
[08:42]: journey would even seem instantaneous to
[08:45]: us for the people on Earth however
[08:48]: several thousand years would have
[08:51]: [Music]
[08:53]: passed length contraction is a very real
[08:57]: phenomenon however visually it would be
[09:00]: difficult to
[09:01]: see to understand why imagine that we
[09:04]: cross the orbit of a
[09:07]: planet as it moves very quickly towards
[09:09]: us the planet's length is
[09:12]: contracted but remember the farther we
[09:15]: look into space the farther we look into
[09:17]: the past and from our perspective the
[09:20]: back of the planet is located further in
[09:23]: space than the front of the planet the
[09:26]: image that we receive from the back of
[09:28]: the planet has taken longer to reach us
[09:31]: so we see it as it was in the
[09:34]: past even if it is contracted the planet
[09:37]: does not look like it because we receive
[09:39]: the image of its back with a
[09:43]: delay rather than contracted it appears
[09:46]: to be
[09:47]: rotated this is a phenomenon we have
[09:50]: already seen Terell penrose's
[09:53]: rotation when we move very fast and look
[09:56]: to our side the edges of the object
[09:58]: around us seem shorter in the direction
[10:01]: of motion this can be interpreted either
[10:04]: as length contraction or as a rotation
[10:08]: as a change in
[10:11]: perspective for the same reason a person
[10:14]: watching us soon by would not really see
[10:16]: our ship contracted but rather rotated
[10:19]: on
[10:21]: [Music]
[10:24]: itself over time our field of view
[10:27]: continues to contract it intensifies in
[10:30]: front of us while going completely black
[10:32]: behind
[10:33]: us by accelerating more and more we
[10:36]: would perhaps expect to reach the speed
[10:38]: of light at some point what would we see
[10:42]: then this question might be one of the
[10:45]: most fundamental in
[10:47]: relativity the answer is no even if the
[10:51]: ship accelerates constantly we will
[10:52]: never reach the speed of
[10:55]: light that is because the speed of light
[10:57]: is absolute you may try to catch a light
[11:00]: Ray but from your point of view it will
[11:03]: always Escape at the same speed the
[11:05]: speed of
[11:06]: light you may accelerate as much as you
[11:09]: wish even if from Earth you would seem
[11:11]: to approach the speed of light from your
[11:14]: point of view you are still motionless
[11:16]: and light Escapes
[11:20]: [Music]
[11:21]: inexorably in short it is strictly
[11:24]: impossible to exceed or even reach the
[11:27]: speed of light at best
[11:29]: our ship will continue to accelerate
[11:31]: forever and our field of vision will
[11:34]: continue to shrink ever more until
[11:36]: forming an infinitely bright spot in
[11:38]: front of us surrounded by a completely
[11:41]: black
[11:42]: Sky almost at light speed all Optical
[11:45]: effects would become
[11:47]: Extreme as we catch up with light rays
[11:50]: before us they all seem to come from the
[11:52]: front meanwhile the Rays behind us can
[11:55]: never reach
[11:57]: us in our frame of reference the
[12:01]: universe would be extremely contracted
[12:03]: like a thin fabric that we would cross
[12:05]: from side to side in a fraction of a
[12:08]: second for a person on Earth we'd be
[12:11]: moving at the speed of light but for us
[12:14]: the trip seems instantaneous we move
[12:17]: infinitely
[12:21]: fast to conclude nothing can ever move
[12:25]: faster than light through
[12:27]: space but there might be way to
[12:29]: circumvent this
[12:31]: rule in fact nothing prohibits space
[12:34]: itself from moving faster than
[12:38]: light indeed the theory of general
[12:41]: relativity teaches us that the fabric of
[12:43]: SpaceTime is dynamic it can bend in
[12:46]: multiple
[12:47]: ways we could thus imagine creating a
[12:50]: bubble around our spaceship which we
[12:53]: would Propel faster than light this is
[12:56]: called a warp drive in reference to
[12:58]: science fiction
[13:00]: it would no longer be a matter of
[13:01]: zooming a vehicle through space but of
[13:04]: propelling the fabric of space itself
[13:07]: our ship would remain motionless surfing
[13:10]: on a wave of faster than light
[13:13]: SpaceTime such a structure may seem
[13:15]: absurd and indeed it is currently
[13:18]: thought to be impossible to achieve
[13:20]: producing a warp drive would require
[13:22]: bending SpaceTime with huge amounts of
[13:24]: negative Mass a form of matter that does
[13:28]: not seem to exist in our
[13:30]: universe that said mathematics still
[13:32]: allow us to model and calculate what we
[13:35]: would see in such a
[13:37]: situation if we looked from outside the
[13:40]: warp drive would seem to appear out of
[13:42]: nowhere the curvature of SpaceTime
[13:45]: deviates the trajectory of light rays
[13:47]: forming a moving lens which splits into
[13:50]: two one part moving forwards and the
[13:53]: other retreating in the opposite
[13:56]: direction light travels slower than the
[13:58]: warp drive itself when it approaches
[14:01]: light has not yet had the time to reach
[14:03]: us and after it crosses us we receive
[14:07]: both the light which had not yet reached
[14:09]: us and the rays which were emitted
[14:14]: later looking from the inside of the
[14:16]: warp drive we would see the sky
[14:19]: contracted in front of us and very
[14:21]: bright behind us the universe would look
[14:24]: extremely dark and a whole patch of the
[14:27]: sky would simply vanish from our view
[14:30]: the light emitted from there is too slow
[14:32]: to catch up with us a cone of the
[14:35]: universe remains permanently invisible
[14:39]: [Music]