Relativity's key concept: Lorentz gamma
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- čas přidán 9. 11. 2017
- Einstein’s theory of special relativity is one of the most counterintuitive ideas in physics, for instance, moving clocks record time differently than stationary ones. Central to all of the equations of relativity is the Lorentz factor, also known as gamma. In this video, Fermilab’s Dr. Don Lincoln not only shows you a simple way to derive gamma, he also tells you its physical significance.
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Count me as another vote for these slightly more 'in depth' videos.
Seconded!
Thirded.
Count every one who have liked this comment
Just make a course on special relativity!
@@yashas9974 Definitely
I love the way you put humour in your physic video! ! It help me understand. Thank you professor
hes a doctor, not a professor
@@Psyadin2 soon?
Brilliant. I want more and more rigorous topics to be taken up gradually.
I concur! Damn it Don Lincoln.....you need to get to WORK!!! .......................... Am I right?.........Just teasing Doctor.
collab with pbs spacetime maybe?
Listen to this guy
Couldn't agree more. I mean, for one thing there are all those 'delectable' enticements on the blackboard background...ha!
Conservation of momentum fails to hold if Center-of-Mass frame is transformed by Lorentz Transformation to another inertial reference frame.
vixra.org/abs/1802.0099
If velocities of both objects are transformed by Lorentz Transformation. Total momentum become totally different.
Your smile in the car is priceless. And as usual, a very clear and interesting video.
i think it had something to do with the car he was driving :)
Dr. Lincoln, I just want to say how much I've enjoyed your videos. I had plenty of Calculus, Physics and Chemistry in college, but your videos brought a lot of it back to me . You made them easy for folks to understand Cosmology.
wish you made video every week !!!
alexandre belinge me too !
THAT T-SHIRT!!!!!! Well done Doctor, well done
Been struggling to understand time dilation for long. This video really helps me learn it piece by piece! Great work.
It's great to see the equations and I do enjoy your presentations. One catch about CZcams feed is that when you mention your next video I can't necessarily find it.
Thank you Dr. Lincoln. I love this video as it helps to revise/learn relativity concepts. Indeed, I love equations, you do it in an understandable way, by anyone familiar with mathematics.
Thank you!
A neccesary explanation.
Maybe (just "maybe") it had been more accurate to expose clearly that Einstein's two postulates were far from arbitrary.
Actually, Einstein found off the way to reconcile the apparent discordance between two fundamental priinciples in Physics: the Galilean Principle of Relativity, that dictates the Laws of Physics are equal for any inertial observer, and the odd results of more modern Maxwell's Theory of Electromagnetism, that dictates the speed of light is equal for any inertial observer.
"De facto", Einstein was able to understand , taking into account the Galilean principle, the speed of light was not a mere underrated phaenomon, but a Law of Physics in itself, so any inertial observer WOLD HAVE TO measure the same speed for a light beam. Then, he assumed the Lorentz-Fitzgerald factor (both thought it was a phenomenon worthy of a further "classic" explanation) as the mathematical expression for unifying two only apparent irreconcilable principles.
Love the equations! :)
you make more sense than any physics video I have watched . you are one of the best physics teacher the internet, you make relativity sounds so easy I love your videos , and more math please !
Dr. Lincoln,
Please keep doing what you are doing. I really love these videos. I can even handle the equations... mostly. :)
Thank you so much.
Excellently explained!! You are truly a gifted teacher! Keep up the great work doc!! Physics truly is everything!!
This was perfect to help me get my head around the concept. I absolutely love your videos!
If you explain ecuations, then it's great...ecuations are scary/boring when you don't know where they come from but this...this is sweet!
The observed paths of light for stationary observer were 2 hypotenuse with velocity c. While in calculation, you used vertical distance of 2*W and sqrt(c^2 - v^2).
I think, for stationary observer, inclined paths and their velocities shall be considered.
This is very helpful. I don't have much of a math background so I'm starting from scratch but I've been trying to visualize what Einstein's theories mean and showing the math in an easy to understand manner is beneficial.
I hope to ramp up to where I can eventually understand the more complex math.
Great series! Thanks for taking the time to make these. Very helpful.
Yay, nice, the equations! Love this channel!
Just love your very simplistic approach in explaining a complex topic. Well done excellent!!
I felt that a frame of reference explanation was needed so asked for it, plus some equations, and I received. Thanks Santa!
I loved this video, as all your other videos!!! Please feel free to put as many equations as needed. And please, keep them coming!!! Thank you very much.
This was a wonderful video, Dr. Lincoln. If possible, could we have even more videos which include the mathematical descriptions?
Good stuff, Don. Looking forward to the next episode. The derivation here was very straight forward, but super useful.
You are very good at explaining complicated concepts in a way that makes them easy to understand
Equations are wonderful when a context is applied to the situation. Whilst there are many who desire nothing more than a journey through algebraic constructs there are others who have different learning mechanisms. My best suggestion is to keep a healthy balance
I really enjoyed seeing the equations, please keep going this approach!
That was really good and it is good to have equations. Thank you Dr Lincoln for your videos.
We want more! More equations and episodes!! Way to go!!!
Fabulous level of explanation. Thank you Dr. Don, for everything!
Takes me back. We were never taught this explanation at school so I worked it out from first principles by exactly the same method. Ah fun times. Also taught me that no matter how complicated a maths equation looks you can rework it into something more basic albeit more long winded 😀
You weren't taught it in school because it's not true they make videos like this to hype up the work they do, photons only move in the direction there emitted, so only in a straight line, it doesn't have the momentum of the direction it's moving added to it.
Thanks, Dr. Lincoln! Great video.... more equations!
This is the most adorable physics channel on CZcams.
Love the lectures that give the brain time to absorb the concepts and information.
You are a very good teacher... it is very difficult for me but I hope I will understand at least the basics someday. Thanks
wish you made video every day :)
there is no need to avoid equations too far. Equations are good way to expand your videos.
Keep on doing good work!
3:38 I learned something I've wondered about for a long time.
Love it. More equations please!
Great explanation. Keep 'em coming. Thanks!
Keep the equations in your Videos, that is how we learn, the more see the equations and how they are derived the more the equations will become a common tool that we will feel lost without!
This was so eye opener, thanks !!
I love the mathematical explanation. Keep doing videos like this!
As all of these vids, this is great. One consistency remark: in some other vids, like the one on time dilation, the moving object moves from right to left, so in the negative direction for the "standing" observer, while in this video, it moves from left to right, so in the positive direction for the standing observer.
Much more interesting. Solving the equations allows me to both see and understand much more easily.
Such difficult things can be understood easily,thanks Dr . Lincoln
Of course I loved it. I love all your videos, even the ones that take some time to soak in. Thanks for sharing your knowledge.
Definitely appreciated the equations, thank you. Now I can not wait to see what your favorite derivation is.
Thanks for the more in depth explanations. And yes... More equations along with your expert analysis of said equations. 😀
Another great video. I just wish I had a better grasp of math to understand the equations better. But the concept was very well presented. Thank you Dr. Lincoln.
The easiest way to derive gamma (Lorentz factor). Thank you for the clarity.
Thank you for equations! It was brilliant. Thanks again!
Love the in-depth stuff; I'm a dunce at math so I (a) re-watch them, and (b) take your word for it. I won't cite a (c) because I now know c is the speed of light!
loved it. i don't mind going in depth mathematically. i studied physics in college and i've learned to appreciate the intuition that only math can uncover :)
I actually know your preferred explanation because you actually mention it in another video and yeah, it really makes way more sense when you look at it that way. When I saw it, my mind literally went 'Oh.. yes... that makes perfect sense.'
It also explains why we keep saying 'time and space can be thought of as two kinds of direction' and why it works to treat time as a spacial dimension in these kinds of calculations.
Thank you. Just discovered your channel and love it .
My god.. i have tried to understand time delation for so long and now I have got to really understand it. Thanks a lot Professor.♥️♥️
I'm glad we got more equations. I think longer videos will be also good...
You are not only physicist
But also a great actor , comedian and teacher
Keep up the good work I.e. put in more equations in your videos. Thanks for your time!
Relatividade. Recordar é viver. Obrigado. Dr.Lincoln
I like the videos with equations, more please!!
Enjoyed this. I think I need to rewatch it but it's helping me get my head around this weird concept. I never really felt like I understood it.
It needs more equations, one can never have enough equations.
If there is anything I like more than cowbell it's equations.
As a mathematician, I wholeheartedly agree
Boodysaspie I didn’t understand that either. I figured it out after shuffling numbers around on a piece of paper, but now I can’t remember how I did it :(
@Boodysaspie put everything on the left in brackets, then add a ^2.
Then put a square root over that.
Square everything inside. (I. e. apply the ^2)
Then Multiply everything inside with 1/c^2 / 1/c^2.
Now apply the outer squareroot to everything.
I haven't tried it yet. So I might be wrongm Don't have paper nearby.
Boodysaspie
cT’ / sqrt(c^2 - v^2)
Move c to the denominator as 1/c. (Or multiply top and bottom by 1/c.)
= T’ / [(1 /c) sqrt(c^2 - v^2) ]
Pull 1/c into the sqrt by squaring it.
= T’ / sqrt[(1 / c^2)(c^2 - v^2)]
Multiply...
= T’ / sqrt[(c^2 / c^2) - (v^2 / c^2)]
The first term cancels.
= T’ / sqrt ( 1 - (v^2 / c^2) )
Simplify the second term.
= T’ / sqrt( 1 - (v /c)^2 )
Love it. thank you. Now I even want to brush up on Pythagorus after your illustration.
You are now my honourable teacher.
Another great video. Math is good and your teaching ability is great also. Keep these videos coming!!!!! Also, how about a video on identical particles.
Im in high school and I love my physics class, I love learning about relativity because its so interesting so thank you for aiding me in grasping this topic
Thank you for this video. Very clear!
Great video, helped launch me on a path of discovery into relativity.
Really nice video, hope next comes soon :D However, I think we all like to see this kind of approach to explaining equations, reeeally liked it
Awesome video...As per usual !
I love this guy!.. Great approach.
I am very grateful for the mathematics! Thanks Don. You help me think.
Yes sir you're right
"Physics is Everything"
and thank you so much for the video..
I want to see 'your favourite explanation of gamma', please make a video on that
Thanks Dr. Don
Damn, I really enjoy your videos. Can't wait for the next video on the subject!
I for one enjoy a simplistic explanation such as this.
A fan, not a commenter but props for rockin the Sagan/Slayer shirt. Keep up the good work.
Thanks very much, I love these videos. Totally at my speed.
excellent video sir.thank you.❤
I found the equations challenging - I will need to sir down with a pen and paper. I was already aware, in general terms, that gamma was the ratio the hypotenuse and the adjacent. What I expected to see was the statement v = d / t. Then to say that as d increased and v stayed the same then t must change. However, you did something more precise and I will need to go over it again. For me it is a good challenge, please keep it coming.
Great as always!
Yes very nice, thank you! Love having equations in these!
I liked the video and the equations. I liked scrolling from one derivation to the next but I would find it even more helpful if I could see both equations at once instead of the bottom of the one and the top of the next. Seeing them both at the same time helps me see exactly what was done.
I love Physics so I loved this.
Yes we love it , agree with you that this is incomplete or at least mesmerizing as gamma appears in many other equations like energy and it’s not clear how. ( In know energy and time are related , and illustration of that is the uncertainty principle , action etc)
you explained everything perfectly
I remember Al Bundy and Steve Rhodes in their convertible, singing along to Steppenwolf. What a charming video this is.
What a brilliant man and video.
'If one doesn't make Physics his/her everything, he/she will not succeed.'
That's what my first Physics professor told us in the very first lecture.
Fortunately, Physics is not everything, afterwards.
Your lectures really revive my fascination for Physics!
THANK YOU PROFESSOR LINCOLN...!!!
Awesome. MORE EQUATIONS!
Perfect. Now things are falling into place for me. Even attempting some of my 'less curious' fellow seniors (70+) to understand this video. Another explanation I use is that travel through time-space is constant. The observer in the rail car traveled a greater distance that the stationary observer. Thus his time has to be less.
Congratulations Dr Lincoln!! I finally got it! (gamma derivation)
I found seeing the math behind the phenomenon really assisted in understanding why distances and time measurements change as a consequence of spatial motion.
Don is the exact type of person I would expect to own a Corvette, and it made the explanation 10 times better
More derivations & equations! These are great homeschool material
Great video, and the best example I've seen for d=vt. Cool.
Nice & simple.