Head to squarespace.com/floatheadphysics to save 10% off your first purchase of a website or domain using code FLOATHEADPHYSICS PS: There are quite a few comments about how gravity doesn’t bend light, but it bends spacetime and light just follows it. Well, If we didn’t know this already, how would we go from special relativity + Newtonian gravity to rediscover space time curvature (and in the process, gain a deeper insight into it)? That’s the question this video series is trying to answer! PPS: Yes, I should have used limit m->0. If not show it, at least mention it.
If our sun is bending the light then it is accelerated upwards and light come from every direction so, if sun is accelerating upwards at every direction then why is it not expanding? Please clear it...
There are more ads than teaching in your videos. I literally had to go through 4 ads in a 20 minute video(excluding your square space thing). I'm not saying that there must be no ads, in just saying don't make your videos "only ads". Have clarity in your mind whether you're here as a teacher or a businessman. Imagine how a teacher feels when he's fully involved in his teaching and someone for no reason disturbs the flow, how bad will be feel? You allowing ads on between the teaching is like admitting that the your work is not so important that you cannot put an advertisement in between!
We have two formula's that involve mass and G. One is G = m(1)m(2)/rr and the other is F = ma (G and F is really the same if taken away from a planets surface in my opinion. Also remember G varies and reduces if we get inside the earth.) Assuming 2 masses are without any influence of anything else then if the two masses where equal then they would both pull equally at each other. F = ma tells us that a small mass gets accelerated much faster than a big mass. If light has no mass there is no reason that it should pull on the earth at all and also there is no reason that it should be pulled anywhere. In my opinion there are two possibilities. One is that light has mass. No two is that some thing else is doing the bending of a light beam and that could be bending of Space Time but maybe some thing else too. I don't believe that the earth is exploding.
Gravity doesn't change light, it changes space, light travels in a straight line through space, if space is curved, the light curves with it. In a straight line.
I usually say it as, gravity doesn't bend light, it bends the universe and takes light on for the ride. One of the biggest problems in physics isn't a problem in physics, it's a problem in miseducation initially that gravity is a force.
@davidmudry5622the very description of a progressive collapse. Easily prevented by a spacetime straightener. ;) I guess that the easiest way to explain gravity is that mass loves to tell spacetime to get bent. I'll just get my coat...
Exactly. The answer is geodesics. Mass curves spacetime and light traverses space in a straight line on a curved surface, which is basically a curved line because you cannot trace an straight line in a curved surface.
I finally understand the equivalence principle! I still have some questions but like you said, I'll wait till the next episode of dragon ba... I mean of float head physics...
Zooming out - there is another person on the other side of the planet, where ground accelerates "up" (which is other direction for our first elevator guy). So planet accelerates in all directions at once. And since it is "impossible" it means that it is not a planet moving in all direction but it's space moving into planet from all directions :D
The explanation with the ground going up has a limit and you are right. Except that spaceTIME is curved.The earth has a mass which is energy, big enough to curve the space. From all directions.
The earth is exploding! The surface speed will very soon reach the speed of light so some thing is wrong. Space time bending may be able to explain it but I think there could be other explanations too. That is a good project for you to find out if you are a physicist.
@@leonhardtkristensen4093 Well no , see in general relativity we redefine what the acceleration means , in flat spacetime i.e no concentration of large amounts of energy/mass , the second derivative of your position is defined as acceleration but in curved spacetime things go a lot different the second derivative of position is now = acceleration- a new term which represents curvature in , this part of the equation is named the Ricci tensor , so if things go well the acceleration and the new term cancel leaving second derivative of position= 0
4:03 You can't just score throught both m from mg/m, if m equals 0, cause than you divide by 0. You have to take the limit for m approaching 0. For m→0: m≠0 a=lim F/m=lim m*g/m=g
Thanks for mentioning at the end of the video about the paradox that the earth accelerates upwards but doesn’t expand. I never understood that so standing by for its resolution 😊
What and why is Pi? Space time is its own entity. Space time has mass. It is the dark matter they can't find. Mass warps / bends space time. You can't bend nothing. Gravity is a force. It is warped / bent space time trying to achieve equilibrium. Consequently, gravity induces rotation or spin. And the reason Pi is endless...we haven't stopped spinning.
In this particular case, it looks like the shirt is schematic for a circuit with a diode in it, maybe. A diode only lets current flow one way (so only positive feedback). It may be something else, I can't get a clear look at it.
@@fieryweasel in the way a circuit flows, electrons are sent from the ground (the negative plug) to the voltage (the posititve plug) so if there is a negative comment or phrase sent, it is recieved as positive.
@@thebusdriver_gaming In ideal Op-Amp case there is nothing to do with -ve plug, because there is open circuit between + and - ones. So whatever singnal you are giving at positive side, will be given to the output side as feedback and you will see no input inverting blocks. Positive amplitude will increase and vice versa according to the i/p voltage at the + side.
I don't understand it either. Is it legitimate to randomly replace objects and ground as the curve in the cone and hence they're accelerating upwards now. Huh?
I'm so happy I stumbled upon your channel. You do such a great job of explaining things in a way in which it's easily - about as easy as physics can be anyway :) - digestible. Great stuff, thanks! Edit: and entertaining!!
So when you do Coriolis/Centrifugal forces in Newtonian mechanics, all that matters is inertial mass: there is no gravitational mass in the problem, its your choice of "moving" spatial coordinates... All of gravitation is the same...it's a choice of "moving" spacetime coordinates.
SPACE/TIME was Einstein's way of dealing with the differentia of wavelength and wavecycle. C^2 is only relevant to dimensional analysis. It creates a holdable point.
Mahesh is the only person in the world, who “speaks” with dead people and I’m sure he’s totally fine and adequate. I have no idea who is Mahesh (at least for now), but the way he shows us the theoretical conversations between him and greatest/smartest people from the past, and the way how such conversations are built, what questions are asked… personally for me - I feel like I’m participating in the science debates… Just amazing. I have no interest in science, but Mahesh, oh my lord, I can’t skip your videos in my suggestion tab. And I decided to subscribe. For me, an adult guy, the Mahesh is the perfect teacher. Instead of “that is a law, now remember it”, we have this brilliant theoretical “discussions”. For younger generations this is a perfect approach to build interests I believe. This approach should be patented and named as “Mahesh’s approach in teaching” or something like that. Can be applied to any science subject, even to astrophysics. Daaaamn, just imagine such conversations with still alive great people. For example discussing some topic with Mahesh, Neil DeGrasse Tyson and “Einstein” for example. It will be interesting, full of great questions, with a little touch of fun. Maybe that or similar things were done already… Great idea to check the whole channel! Thanks Mahesh ☺️
I also had a discussion with Newton in my head when I learned about him in highschool: so you just multiplied kg’s by 10 and called it “Newtons” instead and got famous for that?? But also: how does a rock “know” how to fall down to earth? How does the earth communicate to the rock “iam this way over here”
He’s right, Mahesh… this is a wonderful Socratic dialogue way of investigating these thought experiments that pull the rug out from under our intuitive assumptions. You’re actually going to help people develop an embodied sense of the strangeness of what’s really going on with space-time…. That can have huge implications for our societal evolution!
@@tapashnandy3594I had the same question. Here is how I solved it. Imagine the setup where the speed of light is ‘c’, speed of elevator is ‘v’ and width of elevator is ‘d’. The amount of deviation x at a distance d comes out to be -vc/d. That is a straight line in x-d coordinates. Hence no curve. In case of acceleration, there is a curve.
Nice technique in the open there... the "I used to think... but then I learned..." thing is a very nice way to open someone's mind to new information even if they currently have some misconceptions about it. Nicely done.
Nice start… was hoping you get to the bend space part that counter the acceleration, but I think that’s the topic of the next part… 😊 Your videos are great and some of the best explanations of complex topics made easy to understand. Keep up the good work. 👍
Nope, that is a totally wrong interpretation. Space does not wrap. Time is not mutable or a dimension to play with. You are overthinking this, clue: the answer is way way simpler.
@@Josh_728 Well let me prove you wrong. Explain why galaxies maintain its shape. contrary to all gravitational laws. I am sure your answer will be to run to exceptions to laws.
And no, you can not just cross out the m at the top and bottom. That would be dividing by 0 twice. You need to actually do something else, like looking a the limit when m goes towards 0.
I quite like the reference to good old Newtonian physics.. the mass or its absence not making a difference to gravitational fall is a good thought-provoking beginning to this video. I also recall another video of yours where it was the Newtonian concept of relativity (of uniform motion) that Einstein used to figure out the constancy of c (speed of light or causality). I was in college before computers were born.. I am slightly partial to things classical - physics, art or music!
Replace mass with charges and you would really "thought provoke" Relativists. Maybe there's electric space time 😂 They seem to be obsessed with gravity only. Light gets bent by water. Refraction explains light bending.
Edit: My reasoning is wrong, and this comment isn't true. If you want to see why, go to replies. 6:05 The reason why inertial mass (in `F = ma`) and gravitational mass (in `F = mg`) are the same: ***This comment is edited, if you are confused by replies the orginal comment is at the bottom*** 0. Assume that gravity accelerates everything, but not necesary at the same rate. 1. Imagine an apple with mass `M` close to some source of gravity. 2. Becouse of assumption 0 apple has some accelaration `A`. 3. Now imagine we split the apple into `X` **identical** parts (this is not possibile with a real apple). 4. This is a theoretical split, not actual cutting, the apple is still whole, we just think of it as `X` parts. 5. All these parts will fall with the same acceleration `a` (because they are identical). 6. The apple doesn't care if we think of it as one part or `X` parts, and will still accelerates at the same rate `A`. 7. Therefore all parts should also accelerate at the same rate. 8. So `A` (acceleration of the apple) and `a` (acclereation of each part) are the same! (Let's call it `g`). 9. But `M` (mass of the apple) and `m` (mass of each part) are different! 10. From `F = ma` we get that `F ~ Mg` and `f ~ mg` (`F` is force acting on the apple, `f` is force acting on each part and ~ means "is directly proportional to") 11. As you can see `g` doesn't depend on the mass of an object (apple or it's part), but it may depend on other factors (distance from earth or earths mass). 12. `F ~ mg` is just a less specific version of `F = mg` or `F = GmM/r²`! 13. All the lowercase `m`s are the the same thing (inertial mass). 14. But lowecase `m`s in `F = mg` and `F = GmMr²` are gravitational mass! 15. Therefore inertial mass = gravitational mass! Capital `M` in `F = GmM/r²` is also inertial mass because of newtons 3rd law (if something is affected by force proportional to it's mass, then it should also inflict a force proportional to its mass). ***Orginal comment:*** Imagine an apple with mass 2. The apple is falling with some acceleration g. Now imagine we cut the apple in half. The mass off both halves is 1. The laws of physics don't care whenever the apple is whole or cut in half so both halves still fall with the same acceleration g. Therefore acceleration doesn't depend on mass and it's always g. From F = ma follows that gravitational force must be = mg.
That's a special case. You could divide into unequal portions, then each mass will pull on the Earth slightly differently, as F=GMm/r². The larger mass will receive and give out slightly more force than the smaller mass. The gravity strength is g= ↓GM/r² for the Earth but it's g'= ↑Gm/r² for the apple 🍎 portions. Earth 🌎 will fall up↑ to the apple at |g'|(«g). The net relativistic effect is the apple falling to the Earth at g↓-g'↑=(G/r²)(M+m)↓ but as m«M, this is ~g↓ and g' can be ignored.
Can't you apply the same logic to magnets or charges moving in horizontal direction? And if you can, then it's not about gravity, so it doesn't tell us anything about gravitational mass and its connection to inertial mass.
@@thedeemon there is an assumption that gravity works on everything, while electric force only works on things that have charge. If one half of an apple has charge, and the other doesn't, they will fall differently.
@@The_Green_Man_OAP i am not sure if I understand your comment, but my reasoning is true for unequal portions: laws of physics don't care if you considier an apple to be one object, two halves, or bilion atoms.
If you go for F= GMm/rr I assume you mean M is mass1 and m is mass2. If you have those 2 masses as the only influencing masses then G should be a force between them I believe. If say mass1 is much bigger than mass 2 then wouldn't inertia decide which mass would move the fastest? Thinking about the earth and the apple wouldn't that mean that the apple should move towards the earth? Using this logic light with no mass should not bend towards the earth and why should the earth move towards the light? Bending of space time around any mass might explain it but my brain isn't good enough to see that. I think many explanations are made without thinking it all through.
Bro, I too think the same thing every day. What if I am in a static position because if I look, everything around me is moving, our planet Earth is moving, our entire solar system is moving and our entire galaxy is also moving... That's really mind-blowing, brother. Thanks for making these types of videos for us. And sorry for the bad English..😶😶
For everyone asking: The force you are currently feeling on the surface of Earth is the lithoststic pressure of 3000 miles of molten rock and metal. The human body is too small to directly feel the Earth's gravity directly. You "fall" through air and water on Earth, but not rocks unless you can apply more than 15000PSI to the rocks under your feet. You sink into mud because you can apply enough pressure to the mud, and you can sink in snow, but not ice for the same reason. The iron-nickel core of the Earth is at about 1,000,000PSI The "force of gravity" is what keeps all this rock pressurized. The surface of the Earth could freeze solid about four billion years ago after it reached an equilibrium between how much pressure makes it accelerate "up", and how much gravity shrinks it "down".
But what is the movement of the crust- the acceleration? Some places it is very slowly sinking and some places it is very slowly rising, but overall it is not moving- it is not accelerating!
@@windwardproGravity is shrinking the volume of space occupied by the Earth, which is what is pressurizing it. Like a compressed spring, it gets harder and harder to compress the material, because the force keeping the molecules of the material from occupying the same location in space will push them apart. That's what you feel on the surface of the Earth. The repulsive electrostatic force that is pushing molecules apart from each other at least as fast as gravity is pushing them together. If the rocky surface of the Earth was not pushing you up, you would fall down, through the center of the Earth, and probably go into orbit around the Earth's center of mass. You are actually in orbit around the center of the Earth right now, but the ground keeps pushing you up into a higher orbit, so you never get any closer to the Earth's center of mass. (Just like you are on a rocket continously accelerating away from Earth's center of mass at 9.8m/s² to maintain the same distance away from the Earth's center of mass. The geometry of spacetime itself is curved, and this just looks like motion in 3D space.) (Also, I looked it up, and the radius of the Earth is actually between 3,950 and 3,963 miles depending on latitude.)
@@windwardproBasically, imagine holding a pumb bob, a weight on a string. The string will be pointing directly at the Earth's center of mass (assuming a perfectly spherical non-rotating homogeneous Earth). Nearby, use a plumb bob to draw a line that points directly at the center of mass of the Earth from that location. Now, to the naked eye, these vertical lines will appear to be perfectly parallel lines... but... when you extend these lines 4000 miles down into the Earth, these lines will intersect! They are not parallel, they are two sides of a very long thin triangle with one vertex located at the Earth's center of mass... These straight lines... *_ARE_* straight lines... it's _the space between the lines that shrinks_ the rocks below our feet are getting squished on the side closest to the Earth's center. If you imagine using four plumb bob lines to be the corners of a square, the area of the square will shrink as you go down towards the center of the Earth, and would shrink all the way to zero area at the Earth's center of mass if all of Earth's mass was concentrated there at a point. Because the Earth's mass is spread out over 260 billion cubic miles (one trillion cubic kilometers) the amount of gravity _decreases_ below the surface. Yes, you weigh less inside of a cave. The core of the Earth is experiencing weightlessness, and is floating in orbit around the Sun. The mass of all the rocks and metal and stuff in and on Earth is essentially "pulling up" evenly on the center of the Earth. The 4000 miles column of rock on one side of the core, pulls by the same amount as the 4000 miles column of rocks on the opposite side of the core, and the two sides cancel out to zero. (Repeat for every direction.) So, yeah, the Earth's core is incredibly pressurized, and mostly weightless. Gravity keeps it pressurized, gravity does not give it weight.
Einstein’s explanation is nice when we only focus on this small elevator, but the Earth is a sphere, so all objects on Earth are accelerating upward toward the sky as if the Earth were exploding? That is weird😅
There is no frame of reference where Earth is accelerating in more than one direction. But there are many different frames, and relative to them Earth is accelerating in different directions, one direction per frame.
Einstein is right, and can be proved with a simple accelerometer. Hold one in hand, and it shows you are accelerating up, even if you don't move at all.
@@yourguard4 Oh dear. Employing the physics of circular motion and centripetal acceleration as a retort to the OP takes some nerve! Just reflect on the physics of a centrifuge versus an elevator, in particular compare and contrast the centrifuge wall failing versus the elevator floor collapsing and visualize the trajectory of the contents after failure to just before in both cases.
Not a stientist here.Thanks for these, Brother. Love these deep dives made for designers like me. I have a feeling I'm going to learn more about the Higgs field and space-time just so I can understand mass and time. Down the rabbit hole we go. Cheers mate.
Can I get some help?15:55 why does light bend down? I mean, if a photon is emitted when the elevator hits the wall, why would it’s path appear bent from the wall’s perspective?
Lemme see if i can help here Provided there are no other sources of acceleration, for an observer in an accelerating frame light doesn't actually bend "down" per say, it actually just bends away from the direction of motion of the accelerating frame The equivalence principle tells that barring tidal forces it's impossible for an observer to tell the difference between an accelerating frame of reference far in space and a gravitational one here (say being here on earth, provided the accelerating frame accelerates at 9.8m/s²) More or less things the physical behaviour of objects in a gravitational frame and an acceletating one will always be the same and unless using other forces you can tell which is which Now if you imagine yourself in an accelerating frame (say a rocket) in space you'd find out that whilst the rocket accelerated in one direction, inertia would cause you to sort of move in the opposite direction (very loose description of inertia and in case you don't understand inertia a simple example would be that backward jerk you feel in a car when it starts moving or it accelerates or the forward jerk you feel when you apply the brakes, note too that inertia is not a force just an opposition to it) Gravity envisioned as a force or not always acts inwards towards the mass generating it, this is what we've come to call "down" Gravity causes things to fall "down" So in a gravitational field the source of the field will always be your "downwards" direction In space that is not necessarily the same thing "Down" would be more or less where the direction in which inertia causes you to move towards So if we apply the equivalence principle to light in a rocket or accelerating frame, we'll notice that since light in an accelerating frame would seem to bend away from the direction of motion, and towards the "direction of inertia" which would be our "down" then light in a gravitational field would seem to bend towards the source of gravitation which is the massive object giving the illusion that light bends "down"
Soren Kierkegaard said, about Hegel's philosophy of history, that "if he had presented it as a thought experiment, it would be one of the great inventive creations of the human mind, but he didn't, and that just makes it hilarious". This was a damming put-down by the standards of the day from a professional philosopher, especially since Hegel was a titan in the domain. Listening to Mahesh's superb exposition, there is a perceptible 'essence-of-Hegel' in Einstein's work after he got bored/frustrated with quantization and dedicated himself to gravity & relativity.
This is the definition of why theories cannot be considered fact. It works for understanding, while at the same time, answering absolutely nothing 😅 and yet, I loved it.
When time accelerated, the distance is shortened When distance is expanding, the time is slowed When time and distance both accelerated and expanding, it will works as a treadmill... times keeps accelerating but space also keep expanding and that will cause no change in time and no change in space That statement came from E=MC2 when c2 is m2/s2 (meter square per secon square) m2/s2 is a distance that expanding per time that also accelerating So masses(M) that moves in m2/s2 is an energy (E) Energy is always accelerating but not in time only but also in a space that keeps expanding that will makes energy somewhat always in a equilibrilium state Energy is the real force, and what kind of force? Its something that makes times accel and makes space expand at the same time... with a masses on it ofcourse And massless photon always moves in the max speed which is a speed of light When photon decelerate then it gains mass and its not become photon anymore That mean even the masses is almost like a gravity force.. its an illusion What left behind is only time and space But photon does not feel time does not feel distance also.. Could that mean that time and space is also an illusion? Everything came from energy... mass, time and space Is that why einstein said that you cannot create energy nor destroy it.. Energy was like the source of everything And what i mean by time is a how fast object can move through a space
Light isn't massless in the real world. It has energy, which is equivalent to mass. ( M = E/c^2 ) Also, it doesn't bend light. It is the bending of space, the light travels in a straight line still - even through curved space. For light to not experience effects like lensing, it would have to bend, specifically opposite the bending of space. Remember, gravity is not a force. It is a shape. When we fall, we are not accelerating, hence the feeling of weightlessness. It's once we are on the ground that we are accelerating at 9.8 meters per second per second, which is why we feel weighted.
Yes that's correct light or name it any radio wave don't bent just simply follow curvature of space. Radio waves are not piece of metal or plastic that you can band hahahahah
Sorry, but photons are massless particles. To say it has some energy equivalent to mass-energy of something else is absurd. Rubber bands have an energy 0.5k(Δx)^2, but you would't say light is made out of rubber bands just because you can an energy equivalence.
@@kylelochlann5053 You're definitely trying to pretend it's absurd... I said nothing about it being anything else. This comes from Einstein's theory of special relativity. It's also the reason that, in theory, you can create a black hole with photons. This mass is what bends spacetime, and photons do bend spacetime.
@@kiraPh1234k You're not understanding. A single photon is massless, specifically, g(P,P)=0, where P is the photon 4-momentum and g defines the inner product on the tangent space. Two or more photons can have mass, g(P_1+P_2,P_1+P_2)= 2g_{mn} P^m_1 P^n_2. You cannot write down a single photon stress-energy tensor, but you can for a photon gas which then sources the curvature, even if every photon is massless.
Mahesh, in the example at 14:45, if the lift is moving upward at a constant velocity (instead of accelerating), will the light still seem bending towards the lift floor?
No This works for accelerating frames The issue is this is a thought experiment and for it light normally has to be slowed down drastically to normal everyday speeds At the speed of light it happens but the effect is just too insignificant to measure or observe
That depends on what your goal is, and what level you're at right now. For the _most_ formal way to learn about these things, and a way that gives you something you can show people to _prove_ you've learned it and potentially acquire gainful employment because of that knowledge, go to your local university (or whatever non-local university you prefer) and spend anywhere from several years to about a decade there. (And about $100,000) If you're fairly well-versed in popular science and wanting to learn more detail in a (mostly) non-mathy way for your own personal growth and expansion, I highly recommend Sean Carroll's TH-cam series "The Biggest Ideas In the Universe" for a sort of "one level up from typical science communication". th-cam.com/play/PLrxfgDEc2NxZJcWcrxH3jyjUUrJlnoyzX.html If you don't mind math but don't want or need the absurdly expensive sheet of paper that proves you learned this stuff, MIT's OpenCourseware has basically a full-on top-tier university education in most topics in science and technology, completely for free. How much you get out of it is entirely up to how much you put into it, but nobody is likely to hire you for having done it.
I've always pictured the reason that a hammer and feather fall at the same rate was due to inertia. The greater mass of the hammer simply takes longer to accelerate. I've also always thought it was weird that they just happened to be EXACTLY inverse, and cancel each other out. Great video, thanks!
Hi Mahesh ; I wish to provide a positive feedback that you provoked examination of this in a very professional and positive way! More power to you! Many comments may be from experts or novices and it’s difficult to judge , but gratitude for this !
I have heard these facts all my life. Mahesh explains it in a way that is helpful to me. I am starting to 'get it' (slightly). We each learn in our own way. "Your results may vary."
Funny riddle: if mass bends space, and bended space creates gravity (which "attracts"/"makes move in some direction" also and masless objects/particles and makes time act a little different- we assume, that everything is connected (mass also as a trigger to this procces) - so we should be talking not only about space-time continium, but about mass-space-time-speed-continium. General relativity talks only about 2 parts out of a 4 or 5 :/
The relationship of mass and spacetime is given by Einstein's field equations. The influence of the curvature on the motion of objects is given by the geodesic equation. Both are part of general relativity.
Beautiful! It isn't the mass but momentum (p) that is the real hero. Even Newton said, force is the rate of change of momentum, by a constant (g) times. He was right but we got him wrong. Quantum theorists talk of momentum (p). A light ray has momentum = h/λ, since hν = (mc)c = pc.
Ah noooo! I was anxious to see how this all works in 3 dimensions in all directions on a spherical mass! I knew you would get there but we just got a tease at the end lol. Cant wait for the next video and have a better understanding how this all works together! Youre a great teacher! Even if we dont all have the time, dedication, or ability to get into all the actual math. It is very exciting to understand conceptually how the universe works.
Spacetime curvature is fascinating, it slows time, compared to a synchronized clock in less spacetime curvature, I’m still wrapping my head around that as I don’t understand physically why
a fun fact - plasma is an electromagnetic entity in space - plasma waves are very short and in the range high frequency that cannot be heard but can be seen as it emits electromagnetic wakes - which we call photons - they leave short-lived glow traces after they were emitted by plasma - therefore it's not a light speed but rather a plasma speed to correctly describe the fundamental source of light - since electromagnetism generally respects magnetic variant of 10 gravity variants - then we can safely see how and why light will bend to 1 of 10 variants of gravity - keep in mind that not all 10 variants of gravity are able to bend light sourced from plasma in space - a side note: light can also be sourced from different origins - not just from electromagnetic plasma - for instance a light that comes from burning something (oxygen) is a chemically originated light - or light that is sourced from a nuclear reaction is an atomicly originated light - there many types of light - even if they all look just like light to humans - they are unrelated to each other - but the light that travels through space and bends to gravity is not meant to be harmless and can be the last thing that humans will ever see in their legacy of survival the space - another fun fact: space is curved via overlapping magnetic fields emitted by all celestial bodies - however plasma that travels through space reacts to magnetic fields wildly - there is never a straight line of any sorts when looked up close - surely from a distance a beam of light will look as a straight line - but since it is a wave - so it bends on its own vibrating frequency first and then it bounces off the magnetic fields from objects it passes through - overall it makes the plasma frequency expand and become longer rather the normal short-lived frequency - at this moment the emitted photons (aka light) start to flicker when looked at them from the distance - as plasma loses less and less photons during the bounce (aka bend) it becomes unstable and plasma discharges begin to happen - that is how stars get their dosage of plasma discharges more often than their orbiting planets - as for black holes that seem to slow time for anything that crossed their event horizon - is a total disrespect of what the actual black holes are - they are not sucking anything into them - they are atom compactors - they basically remove space between atoms - the space that is vaporized becomes negative space - which we call antimatter generally speaking - where antimatters go after that is called white holes which burst antimatters back into the universe they came from or on some super rare occasions to nearby universes (which never expand but rather blob-shape formation with sealed wall that is filled with super hot antimatter - remember the law of physics they teach you in schools? - nothing disappears nor appears/grows/expands from nowhere - the grand scheme of universal mechanism is the exact same - and it is not a biologically oriented one - it does not like nor supports any sort of biohazard buildup (aka organic matter or simply life) in space) - so plasma is what antimatter radiates at the moment of re-entry - hth!
Very conversational/easy to listen to. A few technical problems, including that Newton never cold have made any statement about how fast a BASKETBALL would fall...
Inertial mass of an object increases as its relative speed increases until it approaches infinity as it approaches the speed of light. However, gravitational mass does not increase no matter whatever the velocity of the object. Thus gravitational force will remain constant not matter whatever the speed of the object. So inertial mass and gravitational mass seem to be two different quantities which are equal at rest but diverge as speed increases.
A more accurate title of this video should read “why does gravity appear to bend light even without mass. It’s all about appearance. The coolest property of light is that it follows the path of least time in the fabric of space time.
Gravity curves space. Light travels through space. Light traveling through curved space is curved to the same magnitude in which the space around it is curved. Gravity -> curved space -> curved light
Head to squarespace.com/floatheadphysics to save 10% off your first purchase of a website or domain using code FLOATHEADPHYSICS
PS: There are quite a few comments about how gravity doesn’t bend light, but it bends spacetime and light just follows it. Well, If we didn’t know this already, how would we go from special relativity + Newtonian gravity to rediscover space time curvature (and in the process, gain a deeper insight into it)? That’s the question this video series is trying to answer!
PPS: Yes, I should have used limit m->0. If not show it, at least mention it.
If our sun is bending the light then it is accelerated upwards and light come from every direction so, if sun is accelerating upwards at every direction then why is it not expanding?
Please clear it...
Absolute horse shit.
@@petervankas1352 A good fertilizer then. Ha Ha.
I kind of agree in that the earth can't go upwards in all directions.
There are more ads than teaching in your videos. I literally had to go through 4 ads in a 20 minute video(excluding your square space thing). I'm not saying that there must be no ads, in just saying don't make your videos "only ads". Have clarity in your mind whether you're here as a teacher or a businessman. Imagine how a teacher feels when he's fully involved in his teaching and someone for no reason disturbs the flow, how bad will be feel? You allowing ads on between the teaching is like admitting that the your work is not so important that you cannot put an advertisement in between!
We have two formula's that involve mass and G. One is G = m(1)m(2)/rr and the other is F = ma (G and F is really the same if taken away from a planets surface in my opinion. Also remember G varies and reduces if we get inside the earth.)
Assuming 2 masses are without any influence of anything else then if the two masses where equal then they would both pull equally at each other.
F = ma tells us that a small mass gets accelerated much faster than a big mass.
If light has no mass there is no reason that it should pull on the earth at all and also there is no reason that it should be pulled anywhere.
In my opinion there are two possibilities.
One is that light has mass.
No two is that some thing else is doing the bending of a light beam and that could be bending of Space Time but maybe some thing else too.
I don't believe that the earth is exploding.
Gravity doesn't change light, it changes space, light travels in a straight line through space, if space is curved, the light curves with it. In a straight line.
Yes
I usually say it as, gravity doesn't bend light, it bends the universe and takes light on for the ride.
One of the biggest problems in physics isn't a problem in physics, it's a problem in miseducation initially that gravity is a force.
@davidmudry5622the very description of a progressive collapse.
Easily prevented by a spacetime straightener. ;)
I guess that the easiest way to explain gravity is that mass loves to tell spacetime to get bent.
I'll just get my coat...
Exactly. The answer is geodesics. Mass curves spacetime and light traverses space in a straight line on a curved surface, which is basically a curved line because you cannot trace an straight line in a curved surface.
Wrong. DENSITY converts the amplitudes into propagation of mass or not.
I finally understand the equivalence principle!
I still have some questions but like you said, I'll wait till the next episode of dragon ba... I mean of float head physics...
:(
RIP Akira Toriyama 😢
hey, I didn't know scienceisdope watches this channel!
That rollover to the sponsor message...
Infinite pricelessness achieved.
Zooming out - there is another person on the other side of the planet, where ground accelerates "up" (which is other direction for our first elevator guy). So planet accelerates in all directions at once. And since it is "impossible" it means that it is not a planet moving in all direction but it's space moving into planet from all directions :D
The explanation with the ground going up has a limit and you are right. Except that spaceTIME is curved.The earth has a mass which is energy, big enough to curve the space. From all directions.
Yes i think thats where he is going to take us in the next video :)
The earth is exploding!
The surface speed will very soon reach the speed of light so some thing is wrong.
Space time bending may be able to explain it but I think there could be other explanations too. That is a good project for you to find out if you are a physicist.
@@leonhardtkristensen4093 Well no , see in general relativity we redefine what the acceleration means , in flat spacetime i.e no concentration of large amounts of energy/mass , the second derivative of your position is defined as acceleration but in curved spacetime things go a lot different the second derivative of position is now = acceleration- a new term which represents curvature in , this part of the equation is named the Ricci tensor , so if things go well the acceleration and the new term cancel leaving second derivative of position= 0
yeeeeei finally someone who really underdstands gravity. bin waiting a long time for this moment. pleased to make you acquaintance
4:03
You can't just score throught both m from mg/m, if m equals 0, cause than you divide by 0. You have to take the limit for m approaching 0.
For m→0:
m≠0
a=lim F/m=lim m*g/m=g
Zero is a Logical NOT. It can be approached in mass, though never achieved by it. Once the"density" is enough mass is never achieved by light.
he is a fool
work's done
Yeah when I saw it, I thought it was the old video but I saw that it was uploaded 1 hour ago
I was wondering why this video is not marked as watched since I have for sure seen it
Yes bro
This is true
Fax
Thanks for mentioning at the end of the video about the paradox that the earth accelerates upwards but doesn’t expand. I never understood that so standing by for its resolution 😊
Well, I hope you're into maths, because that answer is general relativity.
Gravity doesn't bend light. Gravity bends space. The light travels through the bent space in a straight line.
Why does gravity bend space?
@wunxue gravity doesn't actually bend the space. Mass bends the space. I could have phrased that better.
What and why is Pi? Space time is its own entity. Space time has mass. It is the dark matter they can't find. Mass warps / bends space time. You can't bend nothing. Gravity is a force. It is warped / bent space time trying to achieve equilibrium. Consequently, gravity induces rotation or spin. And the reason Pi is endless...we haven't stopped spinning.
But how is gravity bending empty space any less absurd than gravity bending massless light? 🤔
@@karduarhow is massless light bending space if mass bends space?
Please do a video where you show off all of your joke t-shirts and explain the jokes.
In this particular case, it looks like the shirt is schematic for a circuit with a diode in it, maybe. A diode only lets current flow one way (so only positive feedback). It may be something else, I can't get a clear look at it.
@@fieryweasel this one is an operational amplifier (the triangle symbol) with a positive feedback reaction circuit that's why it has the text
@@fieryweasel in the way a circuit flows, electrons are sent from the ground (the negative plug) to the voltage (the posititve plug) so if there is a negative comment or phrase sent, it is recieved as positive.
Yesss I wanna order some those are great
@@thebusdriver_gaming In ideal Op-Amp case there is nothing to do with -ve plug, because there is open circuit between + and - ones. So whatever singnal you are giving at positive side, will be given to the output side as feedback and you will see no input inverting blocks. Positive amplitude will increase and vice versa according to the i/p voltage at the + side.
Yes, even medium to large molecules fall at 9.8 m/s. We have many experiments about it! Brilliant explanation!
Thank you Mahesh nobody has the explanatory power like you. Truly gifted teacher. Can't wait for the next episode to find out.
You win my subscription.
Awesome explanation. Thanks
Newton pours water into a glass. Einstein moves the glass up to meet the water.
😂good one
Einstein *accelerates* the glass upwards, without moving it, in a curved space time to meet the inertial water.
Seems like almost everyone has drunk the Kool aid
...drank ?
No crazy terminology, no textbook explanation…. Just comprehensive enough for a child to understand. The best so far
I don't understand it either. Is it legitimate to randomly replace objects and ground as the curve in the cone and hence they're accelerating upwards now. Huh?
Please don't stop making such videos your videos are just amazing
I'm so happy I stumbled upon your channel. You do such a great job of explaining things in a way in which it's easily - about as easy as physics can be anyway :) - digestible.
Great stuff, thanks!
Edit: and entertaining!!
You’re the best teacher ever 🔥🔥
So when you do Coriolis/Centrifugal forces in Newtonian mechanics, all that matters is inertial mass: there is no gravitational mass in the problem, its your choice of "moving" spatial coordinates... All of gravitation is the same...it's a choice of "moving" spacetime coordinates.
Yes but don't mix Newtonian mechanics with Relativity things become too complicated with the math of General relativity of tensor
ffs, there is no inertial mass. Mass is produced by inertia/EM waves without protonic mass.
SPACE/TIME was Einstein's way of dealing with the differentia of wavelength and wavecycle. C^2 is only relevant to dimensional analysis. It creates a holdable point.
@@Reaction1s yeah in most in the cases we generally take c = 1
Nobody is looking over the magnifician Cavendish' experiment that proves that gravity is only an interaction between masses!
I AM VERY EXCITED FOR YOUR EXPLANATION OF SPACETIME CURVATURE
Mahesh is the only person in the world, who “speaks” with dead people and I’m sure he’s totally fine and adequate.
I have no idea who is Mahesh (at least for now), but the way he shows us the theoretical conversations between him and greatest/smartest people from the past, and the way how such conversations are built, what questions are asked… personally for me - I feel like I’m participating in the science debates…
Just amazing. I have no interest in science, but Mahesh, oh my lord, I can’t skip your videos in my suggestion tab. And I decided to subscribe.
For me, an adult guy, the Mahesh is the perfect teacher. Instead of “that is a law, now remember it”, we have this brilliant theoretical “discussions”. For younger generations this is a perfect approach to build interests I believe. This approach should be patented and named as “Mahesh’s approach in teaching” or something like that. Can be applied to any science subject, even to astrophysics.
Daaaamn, just imagine such conversations with still alive great people. For example discussing some topic with Mahesh, Neil DeGrasse Tyson and “Einstein” for example. It will be interesting, full of great questions, with a little touch of fun. Maybe that or similar things were done already… Great idea to check the whole channel!
Thanks Mahesh ☺️
Wow, that means a lot 🥲. Thanks for sharing thsi
I also had a discussion with Newton in my head when I learned about him in highschool: so you just multiplied kg’s by 10 and called it “Newtons” instead and got famous for that?? But also: how does a rock “know” how to fall down to earth? How does the earth communicate to the rock “iam this way over here”
He’s right, Mahesh… this is a wonderful Socratic dialogue way of investigating these thought experiments that pull the rug out from under our intuitive assumptions. You’re actually going to help people develop an embodied sense of the strangeness of what’s really going on with space-time…. That can have huge implications for our societal evolution!
The path will be curved even if the elevator is moving up with constant velocity, in which case there is no g. What am I missing?
@@tapashnandy3594I had the same question. Here is how I solved it. Imagine the setup where the speed of light is ‘c’, speed of elevator is ‘v’ and width of elevator is ‘d’. The amount of deviation x at a distance d comes out to be -vc/d. That is a straight line in x-d coordinates. Hence no curve. In case of acceleration, there is a curve.
Nice technique in the open there... the "I used to think... but then I learned..." thing is a very nice way to open someone's mind to new information even if they currently have some misconceptions about it. Nicely done.
Nice start… was hoping you get to the bend space part that counter the acceleration, but I think that’s the topic of the next part… 😊
Your videos are great and some of the best explanations of complex topics made easy to understand. Keep up the good work. 👍
Space does not bend what on earth are you talking about
I'm excited for your video on double slit experiment.
Gravity doesn't bend light. It bends space and time. Light simply follows that curvature.
Exactly
Nope, that is a totally wrong interpretation. Space does not wrap. Time is not mutable or a dimension to play with. You are overthinking this, clue: the answer is way way simpler.
@@curio78 You're wrong.
@@Josh_728 Well let me prove you wrong. Explain why galaxies maintain its shape. contrary to all gravitational laws. I am sure your answer will be to run to exceptions to laws.
@@curio78 You didn't prove me wrong. You're still wrong, but now you're also off-topic.
I smell calculus around that m/m cancellation. Maybe that's where a more satisfying justification lies. As always, great stuff Mahesh!
@4:12 a/a = 1 is only defined if a is not equal to 0
Limit m tends to 0 would be a better way I guess
Correct
And no, you can not just cross out the m at the top and bottom. That would be dividing by 0 twice. You need to actually do something else, like looking a the limit when m goes towards 0.
@@goswinvonbrederlow6602 the limit when m-> 0 = 1
Wow one of if not the best explanation. Einstein would be so proud of you. Please don't change and become as complex as the other physicist
I quite like the reference to good old Newtonian physics.. the mass or its absence not making a difference to gravitational fall is a good thought-provoking beginning to this video.
I also recall another video of yours where it was the Newtonian concept of relativity (of uniform motion) that Einstein used to figure out the constancy of c (speed of light or causality).
I was in college before computers were born.. I am slightly partial to things classical - physics, art or music!
Replace mass with charges and you would really "thought provoke" Relativists. Maybe there's electric space time 😂
They seem to be obsessed with gravity only.
Light gets bent by water. Refraction explains light bending.
The limit of c is a philosophical dogma of Einstein that everything is energy and do not have a place in relativity of a world under unstopped motion!
Simple clarity……. Very well explained ……. Thank you….
Edit: My reasoning is wrong, and this comment isn't true. If you want to see why, go to replies.
6:05
The reason why inertial mass (in `F = ma`) and gravitational mass (in `F = mg`) are the same:
***This comment is edited, if you are confused by replies the orginal comment is at the bottom***
0. Assume that gravity accelerates everything, but not necesary at the same rate.
1. Imagine an apple with mass `M` close to some source of gravity.
2. Becouse of assumption 0 apple has some accelaration `A`.
3. Now imagine we split the apple into `X` **identical** parts (this is not possibile with a real apple).
4. This is a theoretical split, not actual cutting, the apple is still whole, we just think of it as `X` parts.
5. All these parts will fall with the same acceleration `a` (because they are identical).
6. The apple doesn't care if we think of it as one part or `X` parts, and will still accelerates at the same rate `A`.
7. Therefore all parts should also accelerate at the same rate.
8. So `A` (acceleration of the apple) and `a` (acclereation of each part) are the same! (Let's call it `g`).
9. But `M` (mass of the apple) and `m` (mass of each part) are different!
10. From `F = ma` we get that `F ~ Mg` and `f ~ mg` (`F` is force acting on the apple, `f` is force acting on each part and ~ means "is directly proportional to")
11. As you can see `g` doesn't depend on the mass of an object (apple or it's part), but it may depend on other factors (distance from earth or earths mass).
12. `F ~ mg` is just a less specific version of `F = mg` or `F = GmM/r²`!
13. All the lowercase `m`s are the the same thing (inertial mass).
14. But lowecase `m`s in `F = mg` and `F = GmMr²` are gravitational mass!
15. Therefore inertial mass = gravitational mass!
Capital `M` in `F = GmM/r²` is also inertial mass because of newtons 3rd law (if something is affected by force proportional to it's mass, then it should also inflict a force proportional to its mass).
***Orginal comment:***
Imagine an apple with mass 2.
The apple is falling with some acceleration g.
Now imagine we cut the apple in half.
The mass off both halves is 1.
The laws of physics don't care whenever the apple is whole or cut in half so both halves still fall with the same acceleration g.
Therefore acceleration doesn't depend on mass and it's always g.
From F = ma follows that gravitational force must be = mg.
That's a special case.
You could divide into unequal portions, then each mass will pull on the Earth slightly differently, as F=GMm/r².
The larger mass will receive and give out slightly more force than the smaller mass.
The gravity strength is g= ↓GM/r² for the Earth but it's g'= ↑Gm/r² for the apple 🍎 portions.
Earth 🌎 will fall up↑ to the apple at |g'|(«g).
The net relativistic effect is the apple falling to the Earth at g↓-g'↑=(G/r²)(M+m)↓ but as m«M, this is ~g↓ and g' can be ignored.
Can't you apply the same logic to magnets or charges moving in horizontal direction? And if you can, then it's not about gravity, so it doesn't tell us anything about gravitational mass and its connection to inertial mass.
@@thedeemon there is an assumption that gravity works on everything, while electric force only works on things that have charge. If one half of an apple has charge, and the other doesn't, they will fall differently.
@@The_Green_Man_OAP i am not sure if I understand your comment, but my reasoning is true for unequal portions: laws of physics don't care if you considier an apple to be one object, two halves, or bilion atoms.
If you go for F= GMm/rr I assume you mean M is mass1 and m is mass2.
If you have those 2 masses as the only influencing masses then G should be a force between them I believe.
If say mass1 is much bigger than mass 2 then wouldn't inertia decide which mass would move the fastest?
Thinking about the earth and the apple wouldn't that mean that the apple should move towards the earth?
Using this logic light with no mass should not bend towards the earth and why should the earth move towards the light?
Bending of space time around any mass might explain it but my brain isn't good enough to see that.
I think many explanations are made without thinking it all through.
Best physics show ever, i love your style when making imaginary conversatioms with Einstein and the others
Gravity bends space not light. So what we are observing is light traveling trough bended space
in a straight line
Wonderful series Mahesh. I'm very excited for the next video
whe i drink from a glass of water, my intestines are the ones going up to meet the water. :D
😂😂😂😂😂
you become my favorite physics explainer.
1:46 Sir, i am unable to find the links to the videos mentioned just before this timestamp.
It is in discription
@@Master-zf5um hey ssup. Umm .. it initially wasn't
Bro, I too think the same thing every day. What if I am in a static position because if I look, everything around me is moving, our planet Earth is moving, our entire solar system is moving and our entire galaxy is also moving... That's really mind-blowing, brother. Thanks for making these types of videos for us. And sorry for the bad English..😶😶
If you're in a static position (relative to what?)
If it's the Earth that you're stationary relative to, then the Earth is not moving relative to you.
Mahesh is not pregnant,but he never fails to deliver (his insights)😂
\*epic facepalm*
Well explained. Easy to understand. And fun.
For everyone asking: The force you are currently feeling on the surface of Earth is the lithoststic pressure of 3000 miles of molten rock and metal. The human body is too small to directly feel the Earth's gravity directly.
You "fall" through air and water on Earth, but not rocks unless you can apply more than 15000PSI to the rocks under your feet. You sink into mud because you can apply enough pressure to the mud, and you can sink in snow, but not ice for the same reason. The iron-nickel core of the Earth is at about 1,000,000PSI
The "force of gravity" is what keeps all this rock pressurized. The surface of the Earth could freeze solid about four billion years ago after it reached an equilibrium between how much pressure makes it accelerate "up", and how much gravity shrinks it "down".
But what is the movement of the crust- the acceleration? Some places it is very slowly sinking and some places it is very slowly rising, but overall it is not moving- it is not accelerating!
@@windwardproGravity is shrinking the volume of space occupied by the Earth, which is what is pressurizing it. Like a compressed spring, it gets harder and harder to compress the material, because the force keeping the molecules of the material from occupying the same location in space will push them apart. That's what you feel on the surface of the Earth. The repulsive electrostatic force that is pushing molecules apart from each other at least as fast as gravity is pushing them together.
If the rocky surface of the Earth was not pushing you up, you would fall down, through the center of the Earth, and probably go into orbit around the Earth's center of mass.
You are actually in orbit around the center of the Earth right now, but the ground keeps pushing you up into a higher orbit, so you never get any closer to the Earth's center of mass. (Just like you are on a rocket continously accelerating away from Earth's center of mass at 9.8m/s² to maintain the same distance away from the Earth's center of mass. The geometry of spacetime itself is curved, and this just looks like motion in 3D space.)
(Also, I looked it up, and the radius of the Earth is actually between 3,950 and 3,963 miles depending on latitude.)
@@windwardproBasically, imagine holding a pumb bob, a weight on a string. The string will be pointing directly at the Earth's center of mass (assuming a perfectly spherical non-rotating homogeneous Earth). Nearby, use a plumb bob to draw a line that points directly at the center of mass of the Earth from that location. Now, to the naked eye, these vertical lines will appear to be perfectly parallel lines... but... when you extend these lines 4000 miles down into the Earth, these lines will intersect! They are not parallel, they are two sides of a very long thin triangle with one vertex located at the Earth's center of mass...
These straight lines... *_ARE_* straight lines... it's _the space between the lines that shrinks_ the rocks below our feet are getting squished on the side closest to the Earth's center.
If you imagine using four plumb bob lines to be the corners of a square, the area of the square will shrink as you go down towards the center of the Earth, and would shrink all the way to zero area at the Earth's center of mass if all of Earth's mass was concentrated there at a point.
Because the Earth's mass is spread out over 260 billion cubic miles (one trillion cubic kilometers) the amount of gravity _decreases_ below the surface. Yes, you weigh less inside of a cave. The core of the Earth is experiencing weightlessness, and is floating in orbit around the Sun. The mass of all the rocks and metal and stuff in and on Earth is essentially "pulling up" evenly on the center of the Earth. The 4000 miles column of rock on one side of the core, pulls by the same amount as the 4000 miles column of rocks on the opposite side of the core, and the two sides cancel out to zero. (Repeat for every direction.)
So, yeah, the Earth's core is incredibly pressurized, and mostly weightless. Gravity keeps it pressurized, gravity does not give it weight.
@@windwardpro plate tectonics and gravity are unrelated.
Not a clue what you're referring to, Gohan, but I love every episode of this series a LOT!
Einstein’s explanation is nice when we only focus on this small elevator, but the Earth is a sphere, so all objects on Earth are accelerating upward toward the sky as if the Earth were exploding? That is weird😅
There is no frame of reference where Earth is accelerating in more than one direction. But there are many different frames, and relative to them Earth is accelerating in different directions, one direction per frame.
In a centrifuge, all parts of the wall are accelerating inwards, but it is not shrinking :P
Einstein is right, and can be proved with a simple accelerometer. Hold one in hand, and it shows you are accelerating up, even if you don't move at all.
@@yourguard4 Oh dear. Employing the physics of circular motion and centripetal acceleration as a retort to the OP takes some nerve! Just reflect on the physics of a centrifuge versus an elevator, in particular compare and contrast the centrifuge wall failing versus the elevator floor collapsing and visualize the trajectory of the contents after failure to just before in both cases.
please continue the series it much fun with impeccable knowledge
Oh man that transition from independent prop to website add in between was good.
Not a stientist here.Thanks for these, Brother. Love these deep dives made for designers like me. I have a feeling I'm going to learn more about the Higgs field and space-time just so I can understand mass and time. Down the rabbit hole we go. Cheers mate.
In Switzerland, we learn this at the age of six in the second kindergarten class.
And change the title: Gravity does not bend light...
Hey!!! KEEP GOING DUDE. A brilliant explanation Ever 😁😁 Keep going 🙌👏👏👏👏👏👍👍
Are you the Khan Academy guy?
💀
Honestly, this guy explains physics probably in the easiest ways to understand that i've seen on this platform. good job man.
Save yourself 17 minutes: gravity bends the fabric of space not light itself. You’re welcome! 😉
It’s not just about the destination but the journey.
Light follow the shortest path
Imagine being this insufferably obnoxious and getting it wrong anyway.
We care about the delivery of the video, not just the answer. So no tnx.
@@thomasshelby1922 100%
A video that left me on the edge of my seat the whole way through. And he ends it on a cliffhanger. Brilliant.
Why can't people make a video without showing their face all the way through it?
more engaging with a face and will get more views
I think it's fine. Don't like it? Don't watch😂
What are you asking?
Such a strange niggle and question.
Love your channel!!! I have my 13 and 16 yr old daughters watch with me.
Can I get some help?15:55 why does light bend down?
I mean, if a photon is emitted when the elevator hits the wall, why would it’s path appear bent from the wall’s perspective?
We deal with light, while, I drop a pencil, and it bounces 4 ways and is in the weirdest place.
Lemme see if i can help here
Provided there are no other sources of acceleration, for an observer in an accelerating frame light doesn't actually bend "down" per say, it actually just bends away from the direction of motion of the accelerating frame
The equivalence principle tells that barring tidal forces it's impossible for an observer to tell the difference between an accelerating frame of reference far in space and a gravitational one here (say being here on earth, provided the accelerating frame accelerates at 9.8m/s²)
More or less things the physical behaviour of objects in a gravitational frame and an acceletating one will always be the same and unless using other forces you can tell which is which
Now if you imagine yourself in an accelerating frame (say a rocket) in space you'd find out that whilst the rocket accelerated in one direction, inertia would cause you to sort of move in the opposite direction (very loose description of inertia and in case you don't understand inertia a simple example would be that backward jerk you feel in a car when it starts moving or it accelerates or the forward jerk you feel when you apply the brakes, note too that inertia is not a force just an opposition to it)
Gravity envisioned as a force or not always acts inwards towards the mass generating it, this is what we've come to call "down"
Gravity causes things to fall "down"
So in a gravitational field the source of the field will always be your "downwards" direction
In space that is not necessarily the same thing
"Down" would be more or less where the direction in which inertia causes you to move towards
So if we apply the equivalence principle to light in a rocket or accelerating frame, we'll notice that since light in an accelerating frame would seem to bend away from the direction of motion, and towards the "direction of inertia" which would be our "down" then light in a gravitational field would seem to bend towards the source of gravitation which is the massive object giving the illusion that light bends "down"
I can comprehend about 1/3 of the things you share, but am jazzed by 100% of your enthusiasm.
That blew my mind. Thanks for explaining it the way you did!
Soren Kierkegaard said, about Hegel's philosophy of history, that "if he had presented it as a thought experiment, it would be one of the great inventive creations of the human mind, but he didn't, and that just makes it hilarious". This was a damming put-down by the standards of the day from a professional philosopher, especially since Hegel was a titan in the domain. Listening to Mahesh's superb exposition, there is a perceptible 'essence-of-Hegel' in Einstein's work after he got bored/frustrated with quantization and dedicated himself to gravity & relativity.
Love your videos, Mahesh!
This ended my sleepless nights. And makes one ask new questions that make even more time dilated nights,
Bro i love your enthusiasm for physics. Easy sub
This is the definition of why theories cannot be considered fact. It works for understanding, while at the same time, answering absolutely nothing 😅 and yet, I loved it.
I think I saw you with Aanand Srinivas sir, both of you are really a true master of physics..❤👑❤
When time accelerated, the distance is shortened
When distance is expanding, the time is slowed
When time and distance both accelerated and expanding, it will works as a treadmill... times keeps accelerating but space also keep expanding and that will cause no change in time and no change in space
That statement came from
E=MC2 when c2 is m2/s2 (meter square per secon square)
m2/s2 is a distance that expanding per time that also accelerating
So masses(M) that moves in m2/s2 is an energy (E)
Energy is always accelerating but not in time only but also in a space that keeps expanding that will makes energy somewhat always in a equilibrilium state
Energy is the real force, and what kind of force?
Its something that makes times accel and makes space expand at the same time... with a masses on it ofcourse
And massless photon always moves in the max speed which is a speed of light
When photon decelerate then it gains mass and its not become photon anymore
That mean even the masses is almost like a gravity force.. its an illusion
What left behind is only time and space
But photon does not feel time does not feel distance also..
Could that mean that time and space is also an illusion?
Everything came from energy... mass, time and space
Is that why einstein said that you cannot create energy nor destroy it..
Energy was like the source of everything
And what i mean by time is a how fast object can move through a space
Love your style Manesh!
Light isn't massless in the real world. It has energy, which is equivalent to mass. ( M = E/c^2 )
Also, it doesn't bend light. It is the bending of space, the light travels in a straight line still - even through curved space. For light to not experience effects like lensing, it would have to bend, specifically opposite the bending of space.
Remember, gravity is not a force. It is a shape. When we fall, we are not accelerating, hence the feeling of weightlessness. It's once we are on the ground that we are accelerating at 9.8 meters per second per second, which is why we feel weighted.
Yes that's correct light or name it any radio wave don't bent just simply follow curvature of space. Radio waves are not piece of metal or plastic that you can band hahahahah
Sorry, but photons are massless particles.
To say it has some energy equivalent to mass-energy of something else is absurd. Rubber bands have an energy 0.5k(Δx)^2, but you would't say light is made out of rubber bands just because you can an energy equivalence.
@@kylelochlann5053
You're definitely trying to pretend it's absurd... I said nothing about it being anything else.
This comes from Einstein's theory of special relativity. It's also the reason that, in theory, you can create a black hole with photons. This mass is what bends spacetime, and photons do bend spacetime.
The energy of "light" is E=hf or kinematicly E=pc
@@kiraPh1234k You're not understanding.
A single photon is massless, specifically, g(P,P)=0, where P is the photon 4-momentum and g defines the inner product on the tangent space.
Two or more photons can have mass, g(P_1+P_2,P_1+P_2)= 2g_{mn} P^m_1 P^n_2. You cannot write down a single photon stress-energy tensor, but you can for a photon gas which then sources the curvature, even if every photon is massless.
Nice presentation! The enthusiasm is great.
Mahesh, in the example at 14:45, if the lift is moving upward at a constant velocity (instead of accelerating), will the light still seem bending towards the lift floor?
That's what I thought
i don't think so.as it would be at a state of vertical rest in relation to the lift.
No
This works for accelerating frames
The issue is this is a thought experiment and for it light normally has to be slowed down drastically to normal everyday speeds
At the speed of light it happens but the effect is just too insignificant to measure or observe
Beautiful exposition. Thank you so much!
Both Force and Energy are abstract constructs to make calculations easier
Where can I start to learn about these things more formally?
That depends on what your goal is, and what level you're at right now.
For the _most_ formal way to learn about these things, and a way that gives you something you can show people to _prove_ you've learned it and potentially acquire gainful employment because of that knowledge, go to your local university (or whatever non-local university you prefer) and spend anywhere from several years to about a decade there. (And about $100,000)
If you're fairly well-versed in popular science and wanting to learn more detail in a (mostly) non-mathy way for your own personal growth and expansion, I highly recommend Sean Carroll's TH-cam series "The Biggest Ideas In the Universe" for a sort of "one level up from typical science communication". th-cam.com/play/PLrxfgDEc2NxZJcWcrxH3jyjUUrJlnoyzX.html
If you don't mind math but don't want or need the absurdly expensive sheet of paper that proves you learned this stuff, MIT's OpenCourseware has basically a full-on top-tier university education in most topics in science and technology, completely for free. How much you get out of it is entirely up to how much you put into it, but nobody is likely to hire you for having done it.
I've always pictured the reason that a hammer and feather fall at the same rate was due to inertia. The greater mass of the hammer simply takes longer to accelerate. I've also always thought it was weird that they just happened to be EXACTLY inverse, and cancel each other out.
Great video, thanks!
Tremendous teaching energy from our friend here that’s roughly equal to maths x cosmology²
Hi Mahesh ; I wish to provide a positive feedback that you provoked examination of this in a very professional and positive way! More power to you! Many comments may be from experts or novices and it’s difficult to judge , but gratitude for this !
This is my new fav channel
thank you so much this is one of the things ive been trying to understand so long. cant wait for that part 2
Relativity of simultaneity saves the day again!
it is not that the gound is accelerating upwards, is the space itself that is puching against the center of the mass
Love your explanations. And the follow on questions to be answered.
Very nice video and explanation!
I have heard these facts all my life. Mahesh explains it in a way that is helpful to me. I am starting to 'get it' (slightly). We each learn in our own way.
"Your results may vary."
Funny riddle: if mass bends space, and bended space creates gravity (which "attracts"/"makes move in some direction" also and masless objects/particles and makes time act a little different- we assume, that everything is connected (mass also as a trigger to this procces) - so we should be talking not only about space-time continium, but about mass-space-time-speed-continium. General relativity talks only about 2 parts out of a 4 or 5 :/
The relationship of mass and spacetime is given by Einstein's field equations. The influence of the curvature on the motion of objects is given by the geodesic equation. Both are part of general relativity.
Love this channel... where can I donate?!
You gave Toriyama his props 🏆 Respect 😎
Waiting for part 2. When it will be live??
Best science explanation vids on the internet. Tk u.
Beautiful!
It isn't the mass but momentum (p) that is the real hero. Even Newton said, force is the rate of change of momentum, by a constant (g) times. He was right but we got him wrong. Quantum theorists talk of momentum (p). A light ray has momentum = h/λ, since hν = (mc)c = pc.
Ah noooo! I was anxious to see how this all works in 3 dimensions in all directions on a spherical mass! I knew you would get there but we just got a tease at the end lol. Cant wait for the next video and have a better understanding how this all works together! Youre a great teacher! Even if we dont all have the time, dedication, or ability to get into all the actual math. It is very exciting to understand conceptually how the universe works.
Subscribed! Well explained even for people like me who has no too much knowing in physics.
Spacetime curvature is fascinating, it slows time, compared to a synchronized clock in less spacetime curvature, I’m still wrapping my head around that as I don’t understand physically why
Love your videos. And now they come with the greatest segues ever. 😂
Continue please I have so many questions.
a fun fact - plasma is an electromagnetic entity in space - plasma waves are very short and in the range high frequency that cannot be heard but can be seen as it emits electromagnetic wakes - which we call photons - they leave short-lived glow traces after they were emitted by plasma - therefore it's not a light speed but rather a plasma speed to correctly describe the fundamental source of light - since electromagnetism generally respects magnetic variant of 10 gravity variants - then we can safely see how and why light will bend to 1 of 10 variants of gravity - keep in mind that not all 10 variants of gravity are able to bend light sourced from plasma in space - a side note: light can also be sourced from different origins - not just from electromagnetic plasma - for instance a light that comes from burning something (oxygen) is a chemically originated light - or light that is sourced from a nuclear reaction is an atomicly originated light - there many types of light - even if they all look just like light to humans - they are unrelated to each other - but the light that travels through space and bends to gravity is not meant to be harmless and can be the last thing that humans will ever see in their legacy of survival the space - another fun fact: space is curved via overlapping magnetic fields emitted by all celestial bodies - however plasma that travels through space reacts to magnetic fields wildly - there is never a straight line of any sorts when looked up close - surely from a distance a beam of light will look as a straight line - but since it is a wave - so it bends on its own vibrating frequency first and then it bounces off the magnetic fields from objects it passes through - overall it makes the plasma frequency expand and become longer rather the normal short-lived frequency - at this moment the emitted photons (aka light) start to flicker when looked at them from the distance - as plasma loses less and less photons during the bounce (aka bend) it becomes unstable and plasma discharges begin to happen - that is how stars get their dosage of plasma discharges more often than their orbiting planets - as for black holes that seem to slow time for anything that crossed their event horizon - is a total disrespect of what the actual black holes are - they are not sucking anything into them - they are atom compactors - they basically remove space between atoms - the space that is vaporized becomes negative space - which we call antimatter generally speaking - where antimatters go after that is called white holes which burst antimatters back into the universe they came from or on some super rare occasions to nearby universes (which never expand but rather blob-shape formation with sealed wall that is filled with super hot antimatter - remember the law of physics they teach you in schools? - nothing disappears nor appears/grows/expands from nowhere - the grand scheme of universal mechanism is the exact same - and it is not a biologically oriented one - it does not like nor supports any sort of biohazard buildup (aka organic matter or simply life) in space) - so plasma is what antimatter radiates at the moment of re-entry - hth!
Mind 🤯 and I could actually understand it. Thank you so much! Instant subscription.
Very conversational/easy to listen to. A few technical problems, including that Newton never cold have made any statement about how fast a BASKETBALL would fall...
Very much appreciate your fantastic tutorials.
Inertial mass of an object increases as its relative speed increases until it approaches infinity as it approaches the speed of light.
However, gravitational mass does not increase no matter whatever the velocity of the object. Thus gravitational force will remain constant not matter whatever the speed of the object.
So inertial mass and gravitational mass seem to be two different quantities which are equal at rest but diverge as speed increases.
A more accurate title of this video should read “why does gravity appear to bend light even without mass. It’s all about appearance. The coolest property of light is that it follows the path of least time in the fabric of space time.
Please make a video of electric and magnetic fields 🙏🙏🙏
I hate and love how you lead into ads, i definitely skip through, but I'm smiling for the second it takes to skip it.
Gravity curves space.
Light travels through space.
Light traveling through curved space is curved to the same magnitude in which the space around it is curved.
Gravity -> curved space -> curved light