Why does E = mc2 ?

Let's derive the most equation in physics, E = mc^2, intuitively. This is Albert Einstein's original 1905 derivation. Here we will see exactly where the c^2 in the mass energy relation really comes from. We will do each part step by step. We will also derive the expression for the relativistic doppler effect.
Chapters:
00:00 Introduction
00:27 Counting energy lost by the atom
03:31 Relativistic doppler effect animation
06:35 Recounting energy from moving frame
07:20 Discovering Mass - Energy connection
09:47 How mass - energy relation comes from constant speed of light!
12:43 Rearranging the equations - (1)
13:43 Deriving relativistic doppler effect equation - intuitively
20:05 Substituting in equation (1)
22:40 Summarising the result so far
23:19 Final substitution
26:25 The climax - E = mc^2 derived
26:50 The summary

Пікірлер: 923

  • @mkpatel981
    @mkpatel9816 ай бұрын

    If this is how maths and physics is taught in schools, we would be having many more scientists and humanity will achieve 10 times more in 30 years compared to last 100years… Hats off to Mahesh sir🙏

  • @guydude3320

    @guydude3320

    4 ай бұрын

    No scientists won’t need this simple explanations I just like how he has made it easier for dumb ppl like me to understand it

  • @peterolbrisch8970

    @peterolbrisch8970

    3 ай бұрын

    Let's face it, we haven't achieved much in the last 100 years. 🙄🙄🙄🙄🙄

  • @mkpatel981

    @mkpatel981

    2 ай бұрын

    ⁠@@guydude3320 Correct… thats why I said schools not universities 😊… dum

  • @mrmaxboypvp5097

    @mrmaxboypvp5097

    Ай бұрын

    @@mkpatel981 schools are not there to make smart scientists and succesful people... its to train peoplpe to work a 9-5

  • @hrabathor

    @hrabathor

    29 күн бұрын

    @@guydude3320 Ehm, scientists still have to originate in the educational system. So yeah, this level of education would ignite the crave fro knowledge for much more people

  • @robwilliams4773
    @robwilliams47735 ай бұрын

    Loved the video. Just wanted to point out that the use of the binomial expansion and limiting to first order makes it sound like E=mc^2 is an approximate equation. A more formal derivation shows that it is in fact exact and not an approximation. It appears you needed to use the approximation because you took kinetic energy to be 1/2mv^2 in your derivation. That is only true at low speeds. It is in fact your kinetic energy equation that is the approximation and not E=mc^2. The use of the binomial expansion simply reconciles E=mc^2 with that kinetic energy approximation. Actually, it is a very nice way of showing how 1/2mv^2 come about at low speed. A more formal derivation would use the full relativistic kinetic energy equation (derived from the work principle) and then you end up with E=mc^2 being exact. I hope you don't mind me mentioning it but I didn't want people to come away thinking E=mc^2 is not exact.

  • @stolgos8964

    @stolgos8964

    4 ай бұрын

    Very valuable comment! In fact, this was exactly the impression I had: The famous formula surprisingly only the result of an approximation. Not something one would expect from Einstein. Until I stumbled over your remark. Initial disappoinment eliminated now. Many thanks!

  • @BenjaminDumont_smalt

    @BenjaminDumont_smalt

    4 ай бұрын

    like @stolgos8964 I thank you for this precision

  • @Wouter10123

    @Wouter10123

    4 ай бұрын

    That was exactly my question, thanks. Any pointers on how to derive the relativistic kinetic energy?

  • @robwilliams4773

    @robwilliams4773

    4 ай бұрын

    @@Wouter10123 The derivation is straightforward in principle, but nasty in practice. Kinetic energy can be derived using the work-energy principle that says the change in kinetic energy of an object is the work done on it to take it from stationary to some velocity, v. You calculate the work as the integral of force over distance. You integrate Fds. But Force is also the rate of change of momentum, p, so you can integrate (dp/dt)ds instead. This is the same as (ds/dt)dp, which is vdp. Still not nice but using the product rule you can convert this to d(vp)-pdv, and integrate that. That is vp minus the integral of pdv. Relativistic momentum, p, is 'gamma'mv, where 'gamma' is the familiar 1/sqrt(1-(v/c)^2) term of relativity. Substitute that in and the final integral is ugly by doable. The answer is (gamma-1)mc^2. That is relativistic kinetic energy! Not at all familiar is it? However, by doing a binomial expansion of it and dropping the higher terms, you're left with 1/2mv^2 believe it or not! To keep things familiar and intuitive, Mahesh started with 1/2mv^2 so had to apply the same approximation to the left side of his equation (so to speak) to make them consistent. You can see the derivation and discussion in more detail on Wikipedia at en.wikipedia.org/wiki/Kinetic_energy#Derivation_2. Hope that helps.

  • @theOtherNism

    @theOtherNism

    2 ай бұрын

    I was hoping someone would clarify this in the comments. That bit felt a bit disappointing after an otherwise excellent explanation. So thanks for the clarification!

  • @sgiri2012
    @sgiri20126 ай бұрын

    Who wants Mahesh sir to upload more videos like this ? And increase the frequency of uploading videos.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Yes. Will do. Have a list of videos ready already

  • @malayali_here

    @malayali_here

    6 ай бұрын

    U can use Doppler effect to increase frequency 😂😂😂

  • @malayali_here

    @malayali_here

    6 ай бұрын

    @@sgiri2012 I typed velocity by mistake. (Don't take it serious)

  • @thebeboshow4421

    @thebeboshow4421

    6 ай бұрын

    Notifications ON!! Yes

  • @vivekgupta3692

    @vivekgupta3692

    6 ай бұрын

    Everyone 😅

  • @hectorgarcia1326
    @hectorgarcia13264 ай бұрын

    You’ve got to be one of the best science communicators on this website, every video I’ve seen of yours is so intuitive and as a biologist I sometimes worry about getting too deep into physics and math but your videos help with the pursuit for knowledge

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    4 ай бұрын

    This means a lot! :)

  • @everythingisalllies2141

    @everythingisalllies2141

    4 ай бұрын

    But the information he communicated is not actually real physics truth. Einstein's theories have been debunked many times already. But the easiest way to find why they are wrong is to read the ebook, Dave Vs Hal 9001. Anyone with any ability to think, can now see that Einstein's theories are nonsense. No math required, just logic and reason.

  • @arunprasad1022

    @arunprasad1022

    Ай бұрын

    ​​@@everythingisalllies2141Source:Trust me bro. Dave vs Hal 9001 is a fictional book not an academic book. Also, where on actual earth did you see that Einstein's theories have been debunked. Edit: Ah, just checked your channel and found it's a book written by you. Self promotion.

  • @NorthMavericks-ow7jk

    @NorthMavericks-ow7jk

    Ай бұрын

    @@everythingisalllies2141 Don lie bro. Einstein's theories have been proved over and over again.

  • @everythingisalllies2141

    @everythingisalllies2141

    Ай бұрын

    @@NorthMavericks-ow7jk The lie is that they have been "proved" over and over. But you don.t care if this is true or not. Your mind is set like concrete. The theories have no real proof, not one scrap.

  • @mozzerellaman
    @mozzerellaman6 ай бұрын

    You are a fantastic communicator of high-level concepts. I love your enthusiasm!

  • @everythingisalllies2141

    @everythingisalllies2141

    5 ай бұрын

    All his enthusiasm is not able to make this explanation rational. Like all of SR theory, its not rational.

  • @michaelcrossley4716

    @michaelcrossley4716

    4 ай бұрын

    the fact that he smiles and shows excitement about the subject is infectious.

  • @PhysicsConcept-cd1bi
    @PhysicsConcept-cd1bi6 ай бұрын

    I have never seen anyone explaining with this energy and so much interest.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Much appreciated :)

  • @nikhildivakar3918
    @nikhildivakar39182 ай бұрын

    His ability to talk to dead scientists is an unfair advantage

  • @mnjammnjamm

    @mnjammnjamm

    3 күн бұрын

    But Einstein seems totally happy with that

  • @sgiri2012
    @sgiri20126 ай бұрын

    Mahesh sir always rocks ❤ You are doing an extremely good job and you have a good will. This will help the lot of learners around the world. Hats off to you sir

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Thanks a lot :)

  • @user-ky5dy5hl4d

    @user-ky5dy5hl4d

    6 ай бұрын

    @@Mahesh_Shenoy I have said that I will say again that in this whole concept one very important variable is forgotten and must be taken into account and that is ACCELERATION of the shot out particle from the atom. NOTHING and NOTHING happens in zero second? Can you run 100 meters sprint in zero seconds? Can you say a word verbally in 0 seonds? NO! Thefore, the particle shot out from the atom must be accelerated by force F and that is equal to ma. Therefore, the equation of kinetic energy KE=1/2mv squared is derived from FORCE applied to an object times distance it moves is equal to the change in its kinetic energy by ACCELERATION. And now the question? The particle does not ''move'' instantaneously from the atom. That's impossible. And where did the FORCE COME from? And why did the particle accelerate to c? In even simpler equation of momenta p=mv, the velocity is gained by acceleration. So, acceleration distorts the E=mc2 because as small as ACCLETERATION may be, it is NOT 0! Something does not jibe here because it looks like the finished product without pointing to the process of acceleration.

  • @KMac329
    @KMac3294 ай бұрын

    I grew up with the assumption that only a tiny group of elite physicists could understand the math of the Theory of Relativity. But you clearly go through the math so that it's comprehensible even to me (who struggles with very basic calculus). Your intuitive approach really brings the theory alive and makes it something we, like you, can marvel and wonder at, rather than regard it as too complicated and remote. Kudos to Mahesh!! (P. S. I was a librarian in Jerusalem and got to know the head librarian of Hebrew University, where the original manuscripts of the theory, special and general, are kept. She gave me the wonderful privilege of seeing the manuscripts in person. It was a very powerful experience, seeing these documents that fundamentally changed our view of the universe.)

  • @Bankoru

    @Bankoru

    2 ай бұрын

    You still need to understand the math in detail to do anything useful with it, but it's good to have at least an intuition of it rather than none at all.

  • @rajarya7482

    @rajarya7482

    11 күн бұрын

    Thats some cool stuff to see writing of such a person.

  • @HK_Musician
    @HK_Musician6 ай бұрын

    If that was any other video going through algebra I would have had to stop watching. The way you explained it so clearly, so logically, keeping it tied to the reality of the original experiment, reminding us what we were trying to solve, reminding which formulas we'd already done. You actaully made it make sense to me, and I genuinely got enjoyment from following it. Thanks buddy. You're an amazing teacher

  • @ritwiksahu5212
    @ritwiksahu52126 ай бұрын

    Here we learn important topics of physics while having fun. Keep making more videos like this sir.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Gladly!!

  • @rajanvenkatesh
    @rajanvenkatesh6 ай бұрын

    This is actually, intuitively, very appealing! It is quite fascinating that Einstein should have derived this (and speed of causality mentioned in a pervious videos) purely on eliminating what cannot be and accepting whatever that remains! logic following intuition=genius. Thanks for making this video.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Thanks a lot for the feedback. Awesome to hear that.

  • @irenerosenberg3609

    @irenerosenberg3609

    6 ай бұрын

    "eliminating what cannot be and accepting whatever that remains!" Just like Sherlock Holmes!

  • @yello171

    @yello171

    5 ай бұрын

    "When you eliminate the impossible, whatever remains, no matter how strange, must be the truth.

  • @nicholasjh1

    @nicholasjh1

    Ай бұрын

    I wonder if we could find more physics through this method but not eliminating other 'impossible'maths. Something about negatives and imaginary numbers comes to mind

  • @NOTFOUND-dq4ho
    @NOTFOUND-dq4ho6 ай бұрын

    I may feel sad about many things in my life but I always, strangely, find peace in physics. Big thanks for this beautiful video, I will keep coming back to it 🎉

  • @corsaircaruso471
    @corsaircaruso4716 ай бұрын

    This is my first time on this channel, and I just wanted to share my excitement for the descriptions of the relationships among space, time, momentum, energy, mass, etc., the aesthetic feels genuine and I’m only just starting to understand how some of the relationships work, and I’ve little to no practice beyond algebra. I’m missing some details, but that’s what repeated viewings and further familiarization with the subject matter are for. Your intuition based delivery was a unique way to handle that whole area. Thanks so much!

  • @philoldout7489
    @philoldout74896 ай бұрын

    Lucky students that have you as their teacher. Providing an intuitive understanding of the subject matter for students to take with them as they dive into the details is I am sure invaluable. Well done indeed.

  • @diggy5179
    @diggy51796 ай бұрын

    Please keep these videos coming! These are so helpful in explaining concepts intuitively which is something I always look for and love the content you post! Recently came across this channel and have been hooked!

  • @Bondvsbatman
    @Bondvsbatman5 ай бұрын

    I admit that I can barely follow because this is not my profession, but I was always interested in physics and I think it is a shame that most people do not get to know or understand these greatest achievements of humanity and I truly admire your work to teach this extraordinary relevant topics. I like your admitation and fascination for science and gave you a like and a sub. Please keep going! ❤

  • @seanspartan2023
    @seanspartan20236 ай бұрын

    Your enthusiasm for this subject is contagious 😊

  • @TheMrTunes
    @TheMrTunes5 ай бұрын

    You can't even imagine how happy am I about finding your channel. You are educational genius, people like you are moving humanity forward and I sincerely dream I can be someone like you. You are giving people new conceptions about the world we live in, transforming information about it into knowledge about it's laws. Thousands of years people paid money for conversations with people who have looked a little bit further in the ways of understanding this world, but now we can listen you for free and I'm grateful for that. If half of the people, who watched your videos will get new knowledge (not as information,but something they will understand) then you are making tremendous work for all the humanity.

  • @jamspoon
    @jamspoon6 ай бұрын

    I have a question about the final stage of your calculation Mahesh. When you carry out the binomial expansion to finally determine that E=mc^2 you ignore the higher powers of x(v^2/c^2) as the velocity(v) is much smaller than the speed of light(c). Doesn't this mean that E=mc^2 is also an approximation and so would not hold for values of v approaching c?

  • @robwilliams4773

    @robwilliams4773

    5 ай бұрын

    I was a little worried people might think that when I saw the video. Be in no doubt, E=mc^2 is exact. It is not an approximation. In the video kinetic energy was taken to be 1/2mv^2. THIS is the approximation. Kinetic energy is only 1/2mv^2 at low speeds. What Mahesh was doing was using the binomial expansion to reconcile E=mc^2 with the kinetic energy approximation that we are all familiar with. In fact the binomial expansion is a nice way of showing that kinetic energy becomes 1/2mv^2 at low speed. If you use the full, relativistic kinetic energy (derived using the work principle) then you do not need the binomial expansion and E=mc^2 ends up being exact. I hope that puts your mind at rest.

  • @tenix6698

    @tenix6698

    5 ай бұрын

    ​@@robwilliams4773Thank you very much

  • @yello171

    @yello171

    5 ай бұрын

    @@robwilliams4773 Thank you

  • @astrophage381

    @astrophage381

    5 ай бұрын

    @robwilliams4773 Thanks. I am still a bit confused. Does the atom have different energies when viewed from a rest vs. moving frame?

  • @robwilliams4773

    @robwilliams4773

    5 ай бұрын

    All observers , regardless of what frame they are in, will agree that the atom has intrinsic mass, m, with energy equivalence given by E=mc^2. The atom may be ascribed kinetic energy in addition to this due to its motion relative to individual observers. Kinetic energy depends on the relative velocity of the atom and therefore different observers will ascribe different amounts of kinetic energy. But they will all agree that the rest-mass energy must be exactly mc^2.

  • @ryyanshariff2960
    @ryyanshariff29606 ай бұрын

    Ihv never seen such simplification of such a complex topic. Absolutely outstanding piece of work you've uploaded sir. 👏👍

  • @erykbrzozowski2087
    @erykbrzozowski20875 ай бұрын

    I came across your channel just recently and absolutely love it! It would be fantastic if you touched on the topic of time paradoxes, time travel and general relativity! Have a great day!

  • @davids4610
    @davids4610Ай бұрын

    fantastic! I'm 59 and I've long understood the concepts, but never thought I could understand the underlying math.Now I do, thanks!!!!!

  • @1patula
    @1patula5 ай бұрын

    I love your enthusiasm, and the fact that you want to explain things intuitively, it really helps!

  • @jacobpeyser2169
    @jacobpeyser21696 ай бұрын

    There was a point in time when I was satisfied deriving E=mc^2 only using four-vectors and calculus. Now I know how much of a fool I was back then. This is the most beautiful/intuitive reasoing behind the connection between mass and energy I have ever seen. Thank you so much for putting in all of this effort to make reality make just a little bit more sense for the rest of us.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    That’s a really wholesome comment. Made the effort that much worthwhile:)

  • @rodocar2736

    @rodocar2736

    6 ай бұрын

    Functional equations are need, www.casanchi.org/fis/dinamicafuncionales01.htm

  • @faisalanwar8762
    @faisalanwar87625 ай бұрын

    Such intuitive explanation. Such infectious energy. Kudos bro. You took simplifying complex physics concept to the next level. Keep up the good work 👍

  • @kostadinkondev829

    @kostadinkondev829

    5 ай бұрын

    It's all scam look it up make no sense

  • @yaghogrossi7947
    @yaghogrossi79476 ай бұрын

    You are awesome, Mahesh! I've been watching all your videos since I found out about your channel. I love your excitement and your intuitive take on hard topics!

  • @bigbluetrex__8475
    @bigbluetrex__84752 ай бұрын

    i love your channel. i started watching you because i needed to for my e&m class, but you made me actually appreciate the subject. great content.

  • @uyirspace7562
    @uyirspace75626 ай бұрын

    Another doubt is that, in 9.04 part of the video, when you said the atom must have lost mass after it emitted out light, shouldnt the atom on the right (from the girl in rocket perspective) also lose mass after it emitted light?

  • @ishrakmujibift4269

    @ishrakmujibift4269

    5 ай бұрын

    Yes, i have the same question

  • @wilmeroberg9794

    @wilmeroberg9794

    2 ай бұрын

    Yes, it lost mass. But we observed the mass at two different times, one before it emitted photons, and after it emitted photons. This is why we see a diffrence in mass

  • @AakashVerma_edits
    @AakashVerma_edits6 ай бұрын

    Mahesh, please make a video on force upon a charge by a magnetic field. Hope you take any action, you may either make a short.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    👍🏻✌️🤜🏽🤛🏼

  • @BlackScream77
    @BlackScream772 ай бұрын

    You've reignited my passions for physics, I watched a vid on a whim and i've been watching them one by one since, you've captured all the things that makes this topic so interesting and explain it so well! Best physics channel I've seen so far!

  • @jimblackmore1852
    @jimblackmore18526 ай бұрын

    I love how you give an intuitive explanation. Please continue making more videos.

  • @low_quality_films
    @low_quality_films2 ай бұрын

    Damn Einstein and Mahesh conversations really go deep

  • @me_neutron
    @me_neutron6 ай бұрын

    Wow!! Really intuitive ❤ Never understood it this better! Thanks

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Wow, awesome to hear that :)

  • @liameks5604
    @liameks56045 ай бұрын

    Thank you for showing me how to understand the formula intuitively. Your videos are well explained and unlike other videos you show every step intuitively and im waiting for your next video!

  • @bijumohan9460
    @bijumohan946018 күн бұрын

    The single most important physics video on youtube. Nothing else come even close. Thank you.

  • @johnkeck
    @johnkeck6 ай бұрын

    Your explanation of the relativistic Doppler shift is spectacular! But a subsidiary point of the video is a bit lacking. When you drive by a stationary sound emitter, you do indeed hear a change in pitch. Your presentation of the doppler effect for sound makes it sound like you wouldn't hear a pitch change.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Thank you! Yes, I noticed that. I wanted to put a small disclaimer at the bottom. But forgot to add that. You are right, there is pitch change in sound as well. But, the pitch change is due to the apparent change in the velocity of sound. Not the wavelength. I think that’s the key point.

  • @juliensalemkour5708

    @juliensalemkour5708

    5 ай бұрын

    Could explain how the Doppler effect with light does lead to a drastic doubling in frequency versus in sound, only leading to a minor change in pitch

  • @deshbhakt_21152
    @deshbhakt_211526 ай бұрын

    Pls make a video on the derivation of length contraction

  • @GortRoboto
    @GortRoboto5 ай бұрын

    Lack of use and 50 years time since college physics hinders me, but I found your enthusiasm and explanations delightful. I had long forgotten how to resolve nothing travels faster than the speed of light versus Einstein's energy-mass conversion process being dependent on the speed of light squared.

  • @Barcodev43
    @Barcodev435 ай бұрын

    I hope your channel blows up my friend ur enthusiasm combined with story telling and clarity helped explain this concept in such a digestable way. I learned alot from this! :)

  • @raianaratti9943
    @raianaratti99436 ай бұрын

    Love your videos!

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Great to hear that!!

  • @larianton1008
    @larianton10086 ай бұрын

    My body is ready, but my mind is not. See in a few days

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    See you soon 🔜

  • @accouswk
    @accouswk4 ай бұрын

    This is exactly what I was looking for! Very cool. Thank you , brilliant animations. So well executed

  • @howardhand2017
    @howardhand20176 ай бұрын

    Yes, this video lived up to its promise. Each time I watch it it gets better. Genius. Thank you.

  • @dattatreyamangipudi8313
    @dattatreyamangipudi83136 ай бұрын

    Can you also do the derivation of the complete mass equivalence equation[(E^2=(mc^2)^2+(pc)^2] intuitively....

  • @rodocar2736

    @rodocar2736

    6 ай бұрын

    This is total energy Et = mc²+ Ec Ec = kinetic energy

  • @kylelochlann5053

    @kylelochlann5053

    6 ай бұрын

    The equation you're citing is called the Relativistic Dispersion Relation, which is the norm of the 4-momentum,||P||^2=P^ag_{ab}P^b, expressed in component form: m^2=E^e-p^2.

  • @pemagyeltshen2362
    @pemagyeltshen23626 ай бұрын

    Nice 👍👍👍

  • @T7mo0
    @T7mo029 күн бұрын

    Mahesh, I love your videos! I want to study quantum physics and love your intuitive videos and I am happy to tell you that I share your passion for physics!

  • @nedanother9382
    @nedanother93826 ай бұрын

    Just brilliantly delivered. You have a gift...thanks for sharing it.

  • @TechnooRam
    @TechnooRam6 ай бұрын

    High expectations.... The intro looks amazing... Lemme watch...

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Let me know!!!

  • @malayali_here

    @malayali_here

    6 ай бұрын

    What about now 😂

  • @malayali_here

    @malayali_here

    6 ай бұрын

    ​@@Mahesh_Shenoyfrankly, I felt the video like casual physics lecture 😆. I'm so sorry to say this 🙏🥲. . . . . . . . Let me watch it again in a free time 😅

  • @TechnooRam

    @TechnooRam

    6 ай бұрын

    ​@@Mahesh_ShenoyAmazing 🤩

  • @varunarora1256
    @varunarora12566 ай бұрын

    I really feel like I'll need a bit to get a hang of it. Really nice work sir ngl even a toddler in physics would understand this as you even try to explain the slightest of things. I just want to know that if E/c2= ∆m is an approximation, so it won't be able to work for high velocities right? Like those approaching quite much the speed of light like an electron in a bohr's orbit or can it tolerate that much? Lastly, really thank you for keeping me interested in physics even when on the verge of losing it 'cause of this rat race.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    That’s super awesome to hear 🙌

  • @varunarora1256

    @varunarora1256

    6 ай бұрын

    @@Mahesh_Shenoy The question 😅

  • @kylelochlann5053

    @kylelochlann5053

    6 ай бұрын

    There is no such equation. The equation is E=m, which defines the mass in the zero-momentum frame. You can have ΔE=Δm in the absence of change in the 3-momentum. [note: c=1]

  • @robwilliams4773

    @robwilliams4773

    5 ай бұрын

    E=mc^2 is not an approximation. Be in no doubt about that. The derivation in the video uses 1/2mv^2 for kinetic energy. THIS is the approximation. It is this equation that only holds at low speeds. The use of the binomial expansion reconciles the derivation with this approximation. If you do the analysis using full relativistic kinetic energy (derived using the work principle) then E=mc^2 is exact. This would make the story a lot more complicated though and I can see why Mahesh didn't go there. The key idea in the video is jumping between frames of reference, assuming physics should behave the same from both points of view, and thinking about what that must imply if the speed of light is the same. That is relativity theory.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    5 ай бұрын

    @@robwilliams4773 No. The accurate equation is E = 'gamma'mc^2. E = mc^2 only works for low speeds or when things are at rest. As mentioned, it's a first order approximation!

  • @Gisgamel
    @Gisgamel12 күн бұрын

    just found the channel. love the enthusiasm. absolute goldmine, will be binging

  • @user-nc6lu8ds5z
    @user-nc6lu8ds5z3 ай бұрын

    You are just amazing. And you deserve millions of subscribers! Thanks for all of your videos and surely for your passion.

  • @itsiwhatitsi
    @itsiwhatitsi6 ай бұрын

    If E=Expresso and M= Milk , C= Coffie, this is the formula of the “Macchiato” 😂

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Haha!

  • @GodSahil
    @GodSahil6 ай бұрын

    Here before this masterpiece gets viral❤️‍🔥

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    🤞

  • @sunilkhanted
    @sunilkhanted3 ай бұрын

    I was never good at math , science . I'm into accounting. But with this kind of videos on KZread my interest in science has grown and I'm fascinated by this. I sleep most of the time while the video is playing in the background sometimes. It's kind of calming strangely.

  • @ICM0n3y
    @ICM0n3y5 ай бұрын

    Dude...the craziest thing about this video was learning what Albert learned by himself way back in the day...in just under 30mins...this was amazing...

  • @user-dj5wo1bf5y
    @user-dj5wo1bf5y6 ай бұрын

    My man doing god’s work. I haven’t completely watched the video, but I bet it is fine!

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Thank youuu

  • @abhishekmasur4885
    @abhishekmasur48856 ай бұрын

    Light is way cooler😎 when it is wave than it is as particle

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    🆒

  • @Somnambulist3130
    @Somnambulist31306 ай бұрын

    Great stuff! You are the best. I love the ongoing dialogue he keeps up between 'Mahesh' and 'Einstein'. 🙂

  • @hqs9585
    @hqs9585Ай бұрын

    Great video! Your enthusiasm is contagious and admirable. Simple and rigorous proof.

  • @malayali_here
    @malayali_here6 ай бұрын

    Present sir 🎉

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Nicee

  • @DavidHertweck-pu7cu
    @DavidHertweck-pu7cu6 ай бұрын

    I really enjoy your videos. Helps me understand. Things better than I ever had. Thank you.

  • @aaroncfriedman
    @aaroncfriedman2 ай бұрын

    Mahesh, i love how you interact with Einstein like you just left his lecture. It helps make this so engaging

  • @kravisha1
    @kravisha15 ай бұрын

    Love this.. you've shown that a 9th grade student can understand appreciate and admire this without any crazy equations.. a great showman just shows the trick first for us to enjoy.. and then later goes into the making details.. love it

  • @amolbhatki5278
    @amolbhatki52785 ай бұрын

    Thanks so much Mahesh bhai!! Excellent video and explanation and your enthusiasm made it that much more special!!

  • @KunalKishorePlus
    @KunalKishorePlus4 ай бұрын

    I never knew that I could derive E=mc^2 without even holding a pen and paper and just by visualizing things looking at a youtube video. Just amazing. Loved it~

  • @sandman0829
    @sandman08294 ай бұрын

    Dude you're so good, I love this channel. Glad I found this

  • @fortyofforty5257
    @fortyofforty52575 ай бұрын

    I love how you simplify very complex subjects, and "ask" the questions we all have to get to the answer. Would you please do one on the "twin paradox"? Also, would you please explain in a "thought experiment" how someone in a spaceship moving at a constant velocity can measure the speed of light moving in either forward or backward direction to be "c"?

  • @apostle333
    @apostle3335 ай бұрын

    The missing energy is balanced by the amount of energy required for acceleration. It’s really straightforward.

  • @banjaracalifornia8106
    @banjaracalifornia810623 күн бұрын

    That was a beautiful video. It helped me clearly understand so much more of the details. Thank you for patiently walking me, baby step by baby step. Very well done.

  • @user-zp5xt8em6l
    @user-zp5xt8em6l6 ай бұрын

    This really shows how smart Einstein actually was! Thanks for the explanation mate! This was a great video!

  • @yyalaki
    @yyalaki6 ай бұрын

    Thank you for this, it helped me understand this equation for the first time. You are a great communicator and teacher. I hope to see more videos from you.

  • @PP-fn1od
    @PP-fn1od3 ай бұрын

    wow - I have never witnessed someone so excited about things wayyyy beyond my abilities - your are amazing - I love listening to you - even though I have NO idea - thank you

  • @gercovanwoudenbergh4144
    @gercovanwoudenbergh41446 ай бұрын

    You're my favourite KZreadr I found this year!

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Yay!!!🥳

  • @Govstuff137
    @Govstuff1376 ай бұрын

    Excellent. I'm almost having as much fun as you. Thank you well done. I impressed myself when I realized something before you said it regarding the Doppler effect on light I saw the time dilation was needed then you said it. That was fun. So I'm leaning. Thank you . Looking forward to more.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    Powerful stuff 💥

  • @jamesbuschman2633
    @jamesbuschman26335 ай бұрын

    Your excitement when talking about this is great. I enjoy your videos.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    5 ай бұрын

    Super awesome to hear that :)

  • @viktorpavlovych
    @viktorpavlovych5 ай бұрын

    Thank you so much, Mahesh! This explanation is super useful and clear ❤

  • @viva1100
    @viva11006 ай бұрын

    I heard a story once--- There was a dull kid and his father hired many tutors but they eventually left that kid saying he was too dull, finally he found one tutor and the kid started doing well in school.... The problem was never the kid, rather it was the previous tutors who lacked in-depth understanding about the subject. The more you understand a topic, the broader your range and simpler the moves are - you can even get a kid dance to the complex tunes. Thanks....

  • @thereaintnofnchocolate7571
    @thereaintnofnchocolate75713 ай бұрын

    LOVE your energy in this video!

  • @kwolitek4785
    @kwolitek47855 ай бұрын

    Your excitement and explanations are the best! 👏👏👏

  • @santiagopuentep
    @santiagopuentep2 ай бұрын

    If you understand that mass is just confined energy, it's easy to understand why the atom loses mass, it lost some of that confined energy. If you know the mirror box example with photons bouncing inside, if you push the box the photons that bounce push against your hand so the box feels like ir resists (inertia). It the box loses photons, less of them bounce when you push it, so you feel less resistance (inertia), so the box lost mass. Mass is just an emergent property of light speed particles (which have momentum) confined inside a certain space, because they bounce on whatever resists moving the system. Everything moves at the speed of light, what doesn't is just a system of multiple particles, and the system can stay still but it's made of all light speed moving elements internally. Nothing moves slower than light, only emergent objects.

  • @shiikamawp4428
    @shiikamawp44284 ай бұрын

    Thanks for the video! I have to notice your comparison with the sound waves. We hear day by day the sound doppler effect when cars/ambulances pass next to us and also when we pass next to an ambulance in example we also do hear the doppler effect. Therefore, is your explanation of the moving observer not noticing the doppler effect valid only in ideal conditions when there is no additional already existing wind in the medium? Or do I not understand something correctly?

  • @ucanhnguyen2632
    @ucanhnguyen26322 ай бұрын

    Mahesh, this is the most intuitive physics channel I have encountered so far! Big Gratitude!🎉 Perhaps could you please at some point make videos about AI/ML topics?

  • @jimpanging87
    @jimpanging876 ай бұрын

    You have a gift of going into detail and can explain in a way that many viewers can relate to. I appreciate that. I also understand that you have a comical and conversational way of presenting. But I cannot help saying that, in invoking great names such as Albert Einstein and Richard Feynman in the dramatic conversations and more importantly in your intonations, they do not come out in quite the respectful way toward the two great geniuses as probably all scientists would do. Even in a dramatic conversation when invoking such towering personalities, the intonation should not sound like you and them are equals. They did everything, and they dedicated their lives to doing so, you are just re-telling their findings in a way many people may find easy to understand. But for this important point, that I could not help pointing out, everything else is good! So, please keep it up!

  • @dominicestebanrice7460

    @dominicestebanrice7460

    6 ай бұрын

    In other words, the science deities are beyond humanizing, right? We must all bow down in supplication in their presence,yes? Yours is the attitude that has got high energy particle physics & cosmology into the mess they are both in.

  • @daaa2299
    @daaa22996 ай бұрын

    24:30 I feel like we should divide both sides by v^2 and take lim v->0 instead of using not so rigorous and accurate approximation. The answer is the same. If we would take more terms in binomial expansion the answer would be different, i think it is a very nice coincidence that only two first terms of binomial expansion (which only applies to integers) gives corrent answer but it is like taking dx^-2/dx, dividing numetator and denominator by d, "-" next to 2 with "-" in fraction, rerranging and getting 2x.

  • @RoyWickrama
    @RoyWickrama6 ай бұрын

    I like it. Amazing! You did a massive help to me to break-in that was a puzzle to me always (for a long time). I am to explore a lot and a lot with my resources! THANKS A LOT.

  • @bobbob-gg4eo
    @bobbob-gg4eo4 ай бұрын

    This is so great! The intuitive explanation at the beginning (up to 10:35) is so close to an explanation simple enough for people who don't even understand kinetic energy or why energy is proportional to frequency. If you could come up with intuitive ways to understand those two concepts you could help so many more people by letting them understand this magnificent theory!

  • @yanminglui7077
    @yanminglui70776 ай бұрын

    I'm going to be absolutely honest, you're actually insane, first time watching ur video, but I love it!

  • @jacksona2
    @jacksona24 ай бұрын

    Amazing explanation and enthusiasm!!

  • @rbugblatteroft
    @rbugblatteroft2 күн бұрын

    Super clear and fantastically explained thank you!

  • @chiranjibchowdhury2446
    @chiranjibchowdhury2446Ай бұрын

    Awesome explanations 🎉... loved your presentation and saluted your knowledge.

  • @kimpettersson6605
    @kimpettersson66056 ай бұрын

    Man how I've been looking forward for this video! 😍

  • @harshprajapati6877
    @harshprajapati68775 ай бұрын

    Bro I am a 25 year old guy. Watching your videos like a 20 year kid and learning my favourite subject with so much detail. You made my heart cry bro. How you are putting up with expenses for such crazy animation and time investment. Start memberships of youtube channel if you need. I would love to support you. You totally deserve it.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    5 ай бұрын

    That means a lot, Harsh. A few more folks have reached out to support. As long as I can manage at my end, I wouldn't want to take anyone's hard earned money. But, thanks again for the concern. :). And thanks for watching.

  • @PooshanHalder
    @PooshanHalder4 ай бұрын

    Absolutely no words....the enthusiasm that you delivered in the video is remarkable and praise worthy, hope you continue to do such a gr8 work. Moreover the explanations were clearer than my future.

  • @15silverblade
    @15silverblade5 ай бұрын

    This channel is pure gem

  • @dominicestebanrice7460
    @dominicestebanrice74606 ай бұрын

    This is a BRILLIANT exposition. Thank you! Its only when the explanation is this good, so eliminating the pervasive obfuscation in this realm, that we see clearly what a intellectual magician Einstein really was; this entire edifice is a nonsense. The egocentricity at the core of Einstein's physics is stupefying - I don't mean his own personal ego but his fixation on observer-centric, "reference frame" effects that don't exist in reality....or to put in Einsteinian lingo, don't exist in the reference frame of the thing itself. To pick just one example here, the observer simultaneously "seeing" red-shifted and "blue-shifted" radiation from his "balanced momentum" source is a foundational contradiction. Mahesh gets to the heart of Einstein's philosophy at 07'30" with "you don't say it's impossible, instead you ask what needs to happen in order for it to be possible"....and so we get "lateral thinking" run amok, then thought-experiments turned into declarative statements, and ultimately into dogma. How do we replicate Lavoisier's conservation of mass experiments at the atomic level? The E-mc^2 proposition is circular; binding energy is released when matter dissociates but the protons, neutrons & electrons are all conserved! The eV can be defined and usefully converted to kg the same way a mass of gold can be converted to USD but that doesn't mean gold is made out of paper or that the bills in my wallet are made out of metal. We've made Einstein into a God-like figure similar to how the ancients did with Aristotle, in the long term, their 'hit rate' will be similar I suspect.

  • @FailSpace2
    @FailSpace26 ай бұрын

    You would be a great professor. Keep up the good work, your videos are phenomenal!

  • @rayhosking3927
    @rayhosking39276 ай бұрын

    Mahesh, firstly your enthusiasm, for this stuff is infectious, secondly your intuitive explanations make it almost understandable for a dummy like me. Quantum mechanics and relativity have always messed with my sanity but your explanations are so sanguine I almost understand them

  • @bidhan5148
    @bidhan51486 ай бұрын

    A tenth grader learning feynman lectures, theory of relativity, electromagnetism and Lots of works in the field of science.... I am really very thankful to you sir, Even though I study in 10th grade I learnt from your videos so much things... Thanks for introducing me to a very open and thoughtful world.

  • @Mahesh_Shenoy

    @Mahesh_Shenoy

    6 ай бұрын

    You are most welcome. It’s awesome that you are interested in these things!

  • @bidhan5148

    @bidhan5148

    6 ай бұрын

    @@Mahesh_Shenoy ✨😇

  • @PrintEngineering
    @PrintEngineering6 ай бұрын

    Gem of a video. Way more insight than just what the title says