Your Daily Equation #4: Relativity of Simultaneity

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World Science Festival

World Science Festival

Күн бұрын

Episode 04 #YourDailyEquation: Today's equation shows that simultaneity is in the eye of the beholder. Two people who are moving relative to one another will not agree on what happens at the same time, and Brian Greene derives the time discrepancy between them. Through a simple story get the basic idea. And then follow Brian to put math underneath it all.
Even if your math is a bit rusty, join Brian Greene for brief and breezy discussions of pivotal equations and exciting stories of nature and numbers that will allow you to see the universe in a new way.
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Пікірлер: 247
@briangreene407
@briangreene407 4 жыл бұрын
Hi Everyone....Next episode starting shortly. I will also likely do a Q & A this week, live if bandwidth will allow. Send in your questions.
@euflo3163
@euflo3163 4 жыл бұрын
Dear prof Brian, here is my Question: if a clock is not a cyclical motion device (as used in special relativity), how can otherwise can be?
@euflo3163
@euflo3163 4 жыл бұрын
How can be the clock defined different from a cyclical motion device?
@mahadlodhi
@mahadlodhi 4 жыл бұрын
Hello sir, pardon my curiosity but what are you working on with respect to your field of study these days?
@carolinaribeiro6868
@carolinaribeiro6868 4 жыл бұрын
@@mahadlodhi pretty sure it's string theory calculations!
@devikab.s.3613
@devikab.s.3613 4 жыл бұрын
Sir, Could we say rest mass is invariant ?
@paulc96
@paulc96 4 жыл бұрын
Hi again Prof. Greene, I would just like to say that your story of the 2 Presidents on the train, is one of the best & easiest-to-understand explanations of Simultaneity I have heard. It is both simple and enlightening simultaneously ! Thanks again.
@eastlink20
@eastlink20 4 жыл бұрын
Brian Greene, you’ve done as much for science as Albert himself. You inspire millions to follow suit with your ability to communicate complex topics in such an easy to understand and enticing fashion. Keep it up my dude, you may even inspire the next Einstein.
@nickbros
@nickbros 4 жыл бұрын
I'd like to think he's contributed more.
@EricHorchuck
@EricHorchuck 3 жыл бұрын
@@nickbros If you're talking about him educating more people about science then I'd 100% agree. If you believe he's done more for science in general compared to Einstein, well... No.
@akosbakonyi5749
@akosbakonyi5749 4 жыл бұрын
These residents at the train station have good eyesight and reaction time!
@Cashman9111
@Cashman9111 4 жыл бұрын
maybe the wagon was really long ? did you even watch the video ? ;)
@HimanshuSharma-oy9ss
@HimanshuSharma-oy9ss 17 сағат бұрын
Dr.Brian you've got no idea how much this Biologist/Relativity enthusiast appreciates these equations of relativity which are immaculately explained by high school level Mathematics !
@akosbakonyi5749
@akosbakonyi5749 4 жыл бұрын
Ideas: Schrödinger equation, Heisenberg uncertainty principle, Newton’s law of gravitation
@hussammustafa5267
@hussammustafa5267 4 жыл бұрын
I mentioned the first two in the first video
@ManWhoUsesComputer
@ManWhoUsesComputer 4 жыл бұрын
These are all things. What is the idea you have? Or is the idea to write these 3 things together?
@eggonwalterlewinsshirt1071
@eggonwalterlewinsshirt1071 4 жыл бұрын
Newton seriously?
@Petrov3434
@Petrov3434 4 жыл бұрын
Don't be repetitive ;-))
@PaolaBarrientos
@PaolaBarrientos 4 жыл бұрын
I admire professor Greene and salute him for making all his knowledge available and comprehensible. 🤗
@aaronnatera3685
@aaronnatera3685 4 жыл бұрын
Yes, but does he know how to make guacamole?
@PaolaBarrientos
@PaolaBarrientos 4 жыл бұрын
@@aaronnatera3685 that should be the next question 🤔😂
@srcochran101
@srcochran101 4 жыл бұрын
Hey Brian, I just want to thank you for taking the time out of your day to create these videos. They deepen my understanding and nurture my curiosity. I have the utmost respect and appreciation for all the work you do. I hope to see you at World Science Festival one day!
@ngosamusic3192
@ngosamusic3192 4 жыл бұрын
The way you make these concept so accessible to us is amazing. admirable even! Thanks Prof Greene
@penegraphlee9927
@penegraphlee9927 4 жыл бұрын
Brian your smart. I listened to Lenny Leonard Susskin. But Len said he proved Hawkins's wrong about information can't be lost. But you're my favorite. You have a good calm pace. I listen to you because there is not enough information. But you teach as much as possible. I want to learn new thing's about the universe and I wish we could learn something spectacular and new everyday. With the tools we have limits us but I could only amagin 400 years from now.
@adamwilliams7245
@adamwilliams7245 4 жыл бұрын
Dr. Green, I wanted to thank you for your incredible explanations and taking the time to post these videos. This is the most access I have had to most of these enlightening equations and your teaching is second to none. I’m only on number 4 of your daily equation videos but I’m hooked. Thanks again.
@alanrosenblith115
@alanrosenblith115 4 жыл бұрын
I really appreciate you putting these out at a time when amateurs like myself have time to really dig into what you are saying. COVID-19 is terrible, but at least many of us are getting a chance to expand our scientific understanding thanks to you. Excellent work!
@Homerw00t
@Homerw00t 4 жыл бұрын
I love these They are keeping me sane in this quarantine situation we live in Thanks !
@jsbllrt
@jsbllrt 3 жыл бұрын
I'm enjoying this series very much. Thank you a lot! Greetings from Argentina!
@tonib5899
@tonib5899 4 жыл бұрын
Thankyou Brian for taking the time to share and care.Tony.x
@logankennedy7082
@logankennedy7082 4 жыл бұрын
As a mathematician, I would really like to see your perspective of the Riemann Zeta function. Thanks for the great videos by the way!
@mrsvspin
@mrsvspin 4 жыл бұрын
Excellent... wow... getting it; that helped and brought recall... exciting stuff, because you see the world is not just ideas or limited to your eye's witness, but is in a phenomenal cause and effect motion... love it...thank you
@fabienjean5875
@fabienjean5875 4 жыл бұрын
A real privilege to be watch. Thank you Professor Green
@Roryfan1000
@Roryfan1000 4 жыл бұрын
Thank you, Brian. This has been a roadblock for me for a long time and I now better understand :) Your example is much better than the normal train/platform/lightning strikes example which completely sidetracked me. Thank you for these *excellent* videos, I appreciate your time and efforts.
@subhanusaxena7199
@subhanusaxena7199 4 жыл бұрын
Thanks for giving the actual equations in a simple way! looking forward to see how you will do this for Einstein's field equations and Maxwell's equations
@rebeccagyamfi-koranteng7507
@rebeccagyamfi-koranteng7507 3 жыл бұрын
This video was very insightful. Good job!
@lalalafamille
@lalalafamille 3 жыл бұрын
Thank you... beautiful way of explaining in simple terms complex notions.
@ericbruneel7865
@ericbruneel7865 4 жыл бұрын
Fantastic how you make things understandable. Great
@miramarensis
@miramarensis 4 жыл бұрын
Great explanation, Brian. Looking forward to the next one.
@bilbobaggins3333
@bilbobaggins3333 4 жыл бұрын
A succinct presentation. Thank you.
@NoelRead
@NoelRead 4 жыл бұрын
I get the train story,. Thank you for putting it in such an accessible way.
@sofiastutz257
@sofiastutz257 3 жыл бұрын
Thank you for this fantastic video! You explain so clearly!
@petergreen5337
@petergreen5337 10 ай бұрын
Thank you very much for beautiful lesson and demonstration.
@martijn130370
@martijn130370 4 жыл бұрын
This remarkable fact about the lack of simultaneity seems to be a fitting episode as a follow up of the first three in special relativity. I am curious to see where we will go from then - to the General Relativity/equivalence principle, or elsewhere?
@junsup_kim
@junsup_kim 2 күн бұрын
Thank you for enlightening explanation about why there is no absolute time in terms of relativity of simultaneity.
@soulremoval
@soulremoval 4 жыл бұрын
Absolutely amazing video.
@jhonmontoyagomez9739
@jhonmontoyagomez9739 3 жыл бұрын
Thanks Professor. Really enjoyable and fun.
@boyanfg
@boyanfg 4 жыл бұрын
Sir, thank you for this series. I am late and try to catch-up, but I have a question on this: To determine the middle of the train I place one mirror at the front and one at the back end of the train. I use an apparatus that emits light flashes in both directions and rings a bell when it receives the reflections simultaneously. When people on the train position the device so that they can hear the bell ring, will the people on the platform disagree and don’t hear the bell ring? Obviously not. But we’re is my mistake? Any comments are welcome. Thank you!
@guillermolan
@guillermolan 8 ай бұрын
Thank you Prof. Green...a fan of you from Victoria City in Mexico
@mohammedomeralamry9019
@mohammedomeralamry9019 4 жыл бұрын
i did admire Einstein's work and i consider him a pure genius, with this course, this admiration is getting higher and higher.
@yen-chilee9266
@yen-chilee9266 3 жыл бұрын
Thanks for this great video series! In 16:30, I am a little confused by whether the length L is the one that contracted or not. Should we put "length contraction" into account in this derivation?
@institutembw
@institutembw 4 жыл бұрын
Thank you sir for your valuable time
@ManWhoUsesComputer
@ManWhoUsesComputer 4 жыл бұрын
This video reveals what happens to simultaneity under constant velocity (and Dr. Greene mentioned what happens for the special constant velocity condition of delta(v)=0), my question: does the same relationship of simultaneity hold for constant acceleration, or even any pattern of motion?
@localtitans4166
@localtitans4166 4 жыл бұрын
Thank u sir .. i was thinking this thing from about a week.. u cleared my doubt
@ronmacdonald9574
@ronmacdonald9574 4 жыл бұрын
Thanks Brian for your efforts in this. FYI...I am 68 years old. Have a BSC in Math and computer but have worked in the area of broadcast TV engineering for what seems like a millenium. I read a book years ago called “ 1-2-3 Infinity” that really captured my interest. One concept that was presented in the book was...as an observer on Earth, a photon leaving the sun would take 8ish minutes to arrive to visit me. However...if I were that photon...at the moment I decided to visit earth, because I am travelling at the speed of light, this visit would happen immediately. No time would pass. Ie...no mass, at the speed of light. I’d love to hear your thoughts.
@Leggize
@Leggize 4 жыл бұрын
For a future episode. Could you explain how the planck limit for the vacuum energy density was arrived at?
@gmrao9733
@gmrao9733 4 жыл бұрын
Great and simple explanation of relativity
@davidmccarthy7562
@davidmccarthy7562 4 жыл бұрын
Thank you!
@adamtokay
@adamtokay 2 жыл бұрын
I have a feeling that people say, wow cool and move on without contemplating the real life implications of the relativity of simultanity. this idea helped me deal with loss of loved ones and my own anxiety. Once you realize that the future and past are actually more real than the illusion of "now" that you experience, greef is much more manageable. As Einstein himself said to a widow, "It's not at all like your loved one was yanked out of existence by death. He is still there over a hill. You just can't see him"
@tornet3464
@tornet3464 4 жыл бұрын
Can't wait for the next episode
@kidsundance9021
@kidsundance9021 2 жыл бұрын
The area surrounding the president of forward land up to the light bulb is moving in slow motion, viewed from the platform?
@robsmith1a
@robsmith1a 4 жыл бұрын
I suspect that if the speed of light were much lower (say 50 mph) we would have evolved so that these concepts would be intuitive to us. Our intuition tells us that if we see something happen in the distance we are seeing it as it happens and that is what makes these ideas difficult to comprehend even if logically we can understand that they are correct. I love the way you make these ideas as clear as they can be from an experince perspective.
@ktx49
@ktx49 4 жыл бұрын
Question: Thought experiment...What if instead of measuring the 2 differing perspectives, they each sent a live video(at light speed) of said view point(s). Would they still arrive & agree on the relativity of simultaniety?? Or would things somehow be self consistent for both observers?
@loriennelontayao5815
@loriennelontayao5815 2 жыл бұрын
Thank you for the very clear explanation sir.. it is very helpful for me to understand this topic :)
@kameronbriggs235
@kameronbriggs235 4 жыл бұрын
Navier Stokes!!! please!!! Brian i have a long time to go until i reach your level and become one of your peers. Im a self taught graphics software engineer, and i just LOVE the complexity of modeling fluids on computers. After i get my finances in check, Im going to study physics more :) I LOVE PHYSICS & MATH!!! SOO COOOOOL!!!!!
@mahadlodhi
@mahadlodhi 4 жыл бұрын
So in other words, the time difference between two events is relative but didn't minkowski prove that time diff b/w two events would always be the same for any reference frame? Please do correct me if im wrong. And im aware that this idea prove that every reference body has its own time in a heuristic way and was originally pre lorentz transformation but after knowing the transformation, wouldn't contraction of train play a role in the numerical distance the light has to travel to both the presidents with respect to the platform?
@ves138
@ves138 4 жыл бұрын
Do these equations kinda use the same rules as classical newtonian physics does for calculating speeds that are relative to one another (same direction=subtracting, different directions=adding)? Since I did hear that in relativity no matter what speed you're moving at, if you compare it to the speed of light , the relative speed between your speed and the speed of light will always equal c, right? Does that fact matter in this example or am I tripping?
@fidanguler3517
@fidanguler3517 6 ай бұрын
I have read elegant universe. Very good one❤
@mohitbhalotia7482
@mohitbhalotia7482 4 жыл бұрын
Love your daily equation Sir I'm your big fan n I also want to be an astrophysicists
@ernestassimutis6239
@ernestassimutis6239 4 жыл бұрын
Outstanding content
@aditiyadav4157
@aditiyadav4157 4 жыл бұрын
A question revolves around my mind and that is, whether the 'tick' of a moving horizontal light clock is longer than its 'tock', for those who are stationary? (Although it's clear that the time elapsed on moving vertical and horizontal light clock is equal). You drew such figure in the derivation of the Length contraction examples (World Science U).
@timbeaton5045
@timbeaton5045 4 жыл бұрын
If the assumption is that the moving clock is travelling at a constant rate, then by Pythagoras, the tick and tock will be equal. why would there be an asymmetry? You would therefore be saying that the speed of light in one direction, the Tick is different to the speed in the Tock direction, as measured by the static observer. Which directly contradicts Special Relativity.
@lineumiziara7907
@lineumiziara7907 4 жыл бұрын
Brian, can we use Lorentz theory of light in order to explain the results of the experiments that confirm special relativity, if only we decide to believe in a more complicated theory?
@vinaykumar-ce6yw
@vinaykumar-ce6yw 4 жыл бұрын
Sir, what if V approaches C ? In the derivation, should we consider about time dilation in such case?
@Diet040398
@Diet040398 4 жыл бұрын
Please do the Euler-Lagrange Equation and the Lagrangian formalism in both Classical Mechanics and QFT
@penegraphlee9927
@penegraphlee9927 4 жыл бұрын
Brian is it possible that maybe the parallel universes gravity could be pulling on are Galaxys in our universe. Could it be these universes are so big we could be transferrin information through black holes to another universe.
@SL-gx1bi
@SL-gx1bi 4 жыл бұрын
Thank you prof. Green, for this video series and all the others too, that you have set up in youtube. Does relativity of simultaneity also explain for example why the "delayed choice quantum eraser" version on the double slit experiment seems so weird? And if it doesn't explain it, can you explain why it doesn't? It seems (after years of studying in the university of youtube) somewhat quantum-logical that photons, going at the speed of light, splitting up in an entangling way, going through slits and mirrors to separate detectors, only seem to do so at different instants of time. From the photons frame of reference the distance they travel goes to 0 because of length contraction, right? And the time it takes them to go through the apparatus goes to 0 because of time dilation, doesn't it? So the weirdness of the "measurement of the second photon affecting how the first photon reacted in the past" is only weird because simultaneous things happening to the photons just don't seem simultaneous to us as observers?
@lestermoore1281
@lestermoore1281 4 жыл бұрын
Great work again, Professor Greene. Excellent point about the impact of distance on simultaneity.
@spiralgaming8940
@spiralgaming8940 4 жыл бұрын
Sir you mention in your talks that theory of General relativity is kind of tough and complex . Will you present that complexity in simpler ways . I am talking about einstein field equation . Love you sir love from india ❤️❤️😊😊
@shaimasheet4039
@shaimasheet4039 4 жыл бұрын
In this blurred current of entropy we are going through, your daily equation comes to give hope:). Schrödinger equation?
@schrodingersdad6077
@schrodingersdad6077 4 жыл бұрын
You da bomb, Mr Greene
@jeremykrystyan4906
@jeremykrystyan4906 3 жыл бұрын
thankz brian
@damos3000
@damos3000 2 жыл бұрын
Great video/explanation. Maybe somebody else could explain something to me.. I always struggle with relativity when it comes to time. So in this example, since the observers saw the light take longer to get to the ‘backward’ passenger, does that also imply that the backward passenger has aged slightly longer from the bystander perspective? What am I missing?
@interVULife
@interVULife 4 жыл бұрын
Wow!
@martijn130370
@martijn130370 4 жыл бұрын
Thanks for the video Brian. One thing I do not get though: should one not take relativistic lenghts into account, so L would be L/gamma due to contraction of the length of the train as observed from the platform?
@Sttuey
@Sttuey 4 жыл бұрын
surely the length contraction applies equally in both directions so can be disregarded?
@martijn130370
@martijn130370 4 жыл бұрын
I figured that should then be the case, but to be exact, one shoul have mentioned that L is in fact L corrected with gamma
@mihirgore4074
@mihirgore4074 4 жыл бұрын
Hello Professor, Big fan of you and your work in physics. I am highly interested in reading about general theory of relativity concepts. Can you please suggest a book to read on it to start with it ?
@yashkataria-ut7jm
@yashkataria-ut7jm 4 жыл бұрын
Can u explain the equation of UNIFIED THEORY we have so far (correct me if I am wrong) ???? I would love to know more about that equation 😀. I have commented on your tweets
@abhishekrajput-ps2oh
@abhishekrajput-ps2oh 4 жыл бұрын
The source of light, the bulb, also moves with velocity of train. Does this not have any impact on above discussion?
@otm205
@otm205 4 жыл бұрын
Say we have detectors at both ends of the train instead of heads of state. The detectors do two things the moment they detect the light beam coming from centre: stop the train and shoot a beam of light back at the centre. In the centre there is a third detector that turns a signal on but only if it is hit by two opposite beams at the same instant. So from the perspective of someone in the train the centre detector will receive the beams at the same time and turn on the signal but from the perspective of someone outside the signal stays off. What we have here is that the signal is both on and off at the same time and the train (of thought) collapses when someone measures the result :)
@joepierson3859
@joepierson3859 3 жыл бұрын
The signal from the perspective of someone outside the train will see it on because from the perspective of someone outside the Train the detector only turns on if the signals come at different times.
@kapluie
@kapluie 4 жыл бұрын
Q&A: If you were to place a mechanism on the train that could detect the treaty signing, and this mechanism were constructed and calibrated by the people on the train such that it sounded the train's whistle if they were signed at the same time, would both the people on the train and off the train at least agree that the whistle sounded?
4 жыл бұрын
What about the entanglement where there is a changr in subatomic particles even though they are separated.
@wayneyadams
@wayneyadams 2 жыл бұрын
16:24 Two additional points. (1) Typically, we replace c/v with the lower-case Greek letter beta. (2) the equation can also be written using gamma with gamma being equal to 1/sqrt(1 - beta^2) so we would have gamma squared.
@smashu2
@smashu2 4 жыл бұрын
But what would happen if the platform is moving and the train is Stationary. Is it exactly the same ? Or is it different ? My first instinct is it is the same but I am second guessing myself I am trying to visualise it in my head and I am not sure it would be the same.
@inj1979
@inj1979 4 жыл бұрын
Anyone, even Fool thugs like me, can learn Relativity from this animation. Thank you Dr Green.
@DSPHAtanuSingha
@DSPHAtanuSingha 3 жыл бұрын
Sir pardon me me if I am wrong but shouldn't there be a square root over the denominator?
@ManWhoUsesComputer
@ManWhoUsesComputer 4 жыл бұрын
This is the difference in time for the people on the platform (assuming actual simultaneity for people on the train). My question is: does the gamma factor appear (when comparing the difference in simultaneities ) IF simultaneity is assumed for people on the platform and the difference in time for simultaneity is calculated for people on the train?
@parthabanerjee1234
@parthabanerjee1234 4 жыл бұрын
Has time dilated or did I arrive here early?
@tabbylovesmath173
@tabbylovesmath173 4 жыл бұрын
XD thats a good one
@shiitakestick
@shiitakestick 4 жыл бұрын
being from the future
@timbeaton5045
@timbeaton5045 4 жыл бұрын
In general, one cannot claim to be the first, as someone else in a different inertial frame can also claim to be the first, and it all depends on your point of view!
@DubaiGuy08
@DubaiGuy08 4 жыл бұрын
As v approaches c, then time difference becomes indeterminate, i.e. L/0, as does the gamma factor. What's more, from my understanding, as v approaches c, then length contracts to zero and time dilates to zero as well. It's a mind-bending notion!
@user-be5vv5fh9t
@user-be5vv5fh9t 4 жыл бұрын
I have a strange question ... Suppose people outside the train have a button, that when they press it they pass a light electric current to the hand of their head of state, and suppose they press it the second they see the head of state seal the deal - will the electric current get to the head of "forward" before signing and to the head of "back" after he signed?
@MendTheWorld
@MendTheWorld 4 жыл бұрын
Interesting observation in the opening comments regarding how intuitive (or not) the concept of relativity is. The same question came up in a recent podcast I listened to with Sam Harris and Sean Carroll that involved discussion of quantum mechanics and the question of “free will” (vs determinism). Cogent arguments can be made that relativity and quantum mechanics are valid, useful concepts (mathematically, empirically, predictively, etc.) and that the human mind creates merely the _illusion_ of free will, without our actually possessing it. However none of these three concepts are available via intuition alone. All three require a HUGE concatenation of prior knowledge before the can even BEGIN to seem plausible. Arguably, the only aspects of human cognition that are available via intuition are those that provided a selective advantage in the context of human evolution, and by this criterion, an intuitive concept of quantum mechanics and relativity simply were not needed. Arguably the ONLY facets of human cognition that were actually needed for human survival and genetic “fitness” were: 1) those capabilities that enabled us to form cohesive, effective extended social groups and 2) those skills that enabled rational inductive reasoning. (Actually, abductive reasoning represents the actual application of our capacity for inductive inference. (Note that of these two, CLEARLY #1 takes precedence in most circumstances.) ONE aspect of human cognition that can come ONLY via intuition, and can be proved in no other way is the concept that there is a single external objective reality that we all share. Without this, language, communication, and scientific (that is, empirical) collaboration would not be possible. Personal aside: Speaking ONLY from intuition, certain concepts in quantum mechanics are incompatible with our intuitive understanding that there is a single shared external objective reality. Therefore, i conclude there is something fundamentally wrong in quantum mechanics.... Although i admit i don’t know what it is. I suspect it’s that there is a higher order deterministic control that we are completely unable to detect (as it was not necessary for our survival on the African Savanah).
@pierrotechnique
@pierrotechnique 4 жыл бұрын
anything on wave equations would be cool (totally not biased as an acoustician obviously)
@akashdhingra4982
@akashdhingra4982 4 жыл бұрын
Prof. Greene if we use lorentz transformation we get 1/(1-v²/c²)½ in the denominator But in your calculation there is no square root why?
@kevinwencel1485
@kevinwencel1485 2 жыл бұрын
He hasn't used the Lorentz contraction. He has taken the derived equation LV/C^2-V^2, divided by C^2 and done a little bit of algebraic manipulation.
@mothernature...3118
@mothernature...3118 4 жыл бұрын
nice description of the einstein idea.
@mikemarsports
@mikemarsports 4 жыл бұрын
I thought if the train is travelling in a steady speed, everything in the train has the same speed, therefore it's equal still environment. So the 2 lights trail same distance. What if it is not light bulb, what if it is gun shot?
@johnrussel4483
@johnrussel4483 4 жыл бұрын
Oups commented too fast, factor L came after.! Thank you professer G !
@bill-zy6dg
@bill-zy6dg 4 жыл бұрын
Will there be a red/blue shift difference?
@NobogiSomebogi
@NobogiSomebogi Жыл бұрын
Thank you for sharing 6:35 Don't you think there is an inconsistency in the reasoning for the two perspectives? In the first scenario, we believe that the light emitter is on the train, moving with the train. In the second scenario, we kind of consider the two light photons coming out of nowhere, as if it suddenly appears in the train and emits the photons. However, the reality should be that it is always on the train. Or, at least, the light emitter is either moving with the train or not moving with the train, it should not be changed because of different perspectives. ?
@bingzhang00
@bingzhang00 Жыл бұрын
The photons, once left the light bulb, travel at a constant speed regardless how fast the train is moving. It is indeed true that the photons travel a short distance to reach the forward facing president. But the observer in the train do not get to see it immediately. It takes time for the photons bounced back from the forwarding-facing president and their pen to travel to the eyes of the observer in the train. Now don’t forget that the observer is moving forward with the train, so these photons will have to play catch-up to the observer, and it will take more time than if the observer was stationary. Now if you consider the round-trip, the effects cancel out. So somebody standing equally far from the two presidents in the training will end up seeing the signing events at the same time. To other people in the train who are closer to one president than another, they would SEE the events in different orders. In the extreme case, to either of the president, they’d both see themselves signing first. I think these details are omitted in the video, but it is totally true that observers won’t agree on the order of events depending on their position and frame of reference.
@WalidsChannel
@WalidsChannel 4 жыл бұрын
I paused at 11:06 mark. I used pen and paper at home to try how would I derive it. And then compared how well I did. I was able to work this out for this equation! (i m more of an Einstein myself u know ;) )
@heinrichkatz6208
@heinrichkatz6208 4 жыл бұрын
Shouldn't the speed of earth's rotation have an influence too?
@wcottee
@wcottee 2 жыл бұрын
It would be neat to show what happens if we assume that the speed of light is not constant. That is, the pulse moves at c + v to the right and c-v to the left. In this case, if I did the math right, even the stationary observers would see the light arrive at each president at the same time; tf-tb = 0. Did I get that right?
@veganevolution
@veganevolution 3 жыл бұрын
But then, wouldn't the light rays reaching the President of Frontwordville, contain more energy with respect to the spectators? Therefor things would look brighter/bluer on the side tht the candle is traveling in the direction of?
@mycroftcabrera
@mycroftcabrera 4 жыл бұрын
is there any physical observation that can support this???
@peikkojumala
@peikkojumala 4 жыл бұрын
I found this wall of text to related question; "Are moving clocks really running at different rhythms just because of velocity?": Well of course they do, there are 2 effects, one due to gravity and one due to speed.Considering for instance the GPS satellites, the clocks onboard the GPS satellites experiences relativistic shifts, which have both a constant and time varying components. This constant component is compensated for by introducing a fixed offset, which lowers the frequency of the on-board oscillator. The fact that there is some orbital eccentricity and the higher order terms (quadropole) of the Earth’s gravity field are primarily responsible for the components that vary with time. For instance, if two clocks are located on an equipotential surface, the rates of the clocks will be the same. If however one clock is moved to a height of 1 km, their rates would differ by about 1 x10^-13. Earth’s quadrupole’s effect on the potential at the GPS satellite is approximately one part in 10^14 , so in the case of the potential at the height of the GPS satellite, the contribution of the quadrupole can be ignored in most cases (GPS orbits are high enough to be nearly Keplerian); there is also no centrifugal component so that the gravitational potential at the GPS satellite can be easily calculated.The total gravitational frequency shift of the clock onboard the GPS satellite can then be calculated as 45.688 microseconds per day. If you ignored this, you would have a one way navigational error of 13.697 km per day. Secondly when we consider the speed of a GPS satellite, (~3874 m/s), Einstein's special theory of relativity needs to be applied. The time dilation effect causes the GPS satellite to appear to run slow by about 7 microseconds per day. The GPS satellite clocks are adjusted for three constant rate corrections before launching them into orbit, the satellite clock has a higher frequency in orbit than on the ground (read geoid, where the clock frequency should be 10.23 MHz) and its proper frequency is therefore reduced to 10.229 999 995 43 Mhz. So the nett effect is that between the faster clock in the weaker gravity field due to orbital height, and the slower clock due to the clock's in orbit speed, the gravity effect wins. One can calculate this very accurately, and it works perfectly, otherwise we would not have sub-cm accuracy in positioning using geodetic quality GPS receivers.
@Dongufo15
@Dongufo15 4 жыл бұрын
the number of oscillations of the photons hitting the two presidents would be the same for every inertial observer right?
@alchemy1
@alchemy1 2 жыл бұрын
What about the formula for the folks on the train?
@hasib7370
@hasib7370 4 жыл бұрын
Brian greene....... I really love physics and mathematics but I can't focus with my studies for a little amount of time....... Can I overcome this in time and become some of the names like you? ⛮☰
@paalavi6108
@paalavi6108 4 жыл бұрын
Seriously, the purpose of daily learning just started to work for me.
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