everything in the universe that has energy there's nothing in the universe that exists but does not create a gravitational field when we orbit around the Sun the reason in general relativity why the Earth moves around the Sun isbecause it's moving in a curved geometry the Earth is trying its best to move in a straight line but there are no
because it's moving in a curved geometry the Earth is trying its best to move in a straight line but there are no straight lines because the gravitational field of the sun warps the geometry around it we end up moving an ellipse around the Sun but that's good news because it means that since everything feels the geometry of the universe
everything causes fluctuations or perturbations in the geometry of the universe everything that exists gives rise to a gravitational field so if we want to know what exists in the universe all we have to do is find out what are the gravitational fields in the universe and then we will locate the stuff that is causing them well how do you do that
Then when you let go of two objects, to you, they will also seem to be falling at exactly the same way as if you were in a gravitational field . So Einstein extends this idea to a principle, to not just an amusing observation, but to a deep fact about gravity,
universe the uh this energy although it doesn't have much effect it since space is very large it produces a gravitational field which affects the way the universe expands and from observations of the way the universe is expanding astronomers throughout the 20th century have been able to put
And so the forces an object would experience going around it also don't change. There are an infinite number of ways we could write the gravitational potential for any gravitational field and get the system to evolve in the same way. And the same is true for electricity and magnetism.
Which means there is a field, which is consciousness, and from that field emerges actually the physical and material and what we see as reality. Now a field is like an electromagnetic field or gravitational field , but it's more than that. It's what science, if you like to compare it to what physicists say, it's what we call the unified field of all the laws of nature.
So I have some very strange feelings. that a space rocket cannot leave the earths gravitational field unless it has three stages of separation even before a commercial airplane flies in the sky.
for um you know we when we launch satellites uh in order for the satellite to escape um its gravity you have to boost it to get it out of the gravitational field so for example if you imag imagine the escape Velocity from an object of a given mass m is if that is the speed of light that is the
comfortable let them get soft if it's not and for the next 30 seconds just completely let the system rejoin the gravitational field it's effortless but there's a soothingness to the
which is leaking more and more matter onto the white dwarf so the white dwarf is getting heavier and heavier it can't get smaller because the electrons are taking up space but the gravitational field is becoming larger and larger so at some point there's a crisis at a point called the Chandra sear limit where the gravitational field is so strong the white dwarf will collapse
We can repeat this process at every point, and if we then shift our perspective to two dimensions, look, what we've got is the gravitational field of the star. Mathematically, we say that the gravitational field G is equal to the negative gradient of V. - So Lagrange had found a way to switch the problem back and forth between one of vectors and one of scalars.
which has changed 'cause the whole universe is stretched. We have to account for the energy that we attribute to the action of the gravitational field as well because space and time themselves aren't sitting still. - And all of this can be described by the continuity equation Noether had found.
relativity was a very simple one gravity is the curvature of SpaceTime we can think of space and time as a place through which we move in the universe but it has its own geometry and the gravitational field is created by everything in the universe that has energy there's nothing in the universe that exists but does not create a
between so If This Were A system that had nothing in it but ordinary matter nothing but gas and dust and stars and so forth if you measure the gravitational field of the bullet cluster you would find it centered on the pink stuff that is where most of the
cluster and seeing how they have been lensed there will be slight distortions in the shapes of the galaxies behind this cluster because the light from them came to us through a gravitational field you you can reconstruct where the gravity is in the bullet cluster and where the gravity is is here this is a reconstructed map of what the mass
If you keep putting in energy, then you can put in so much energy that another quark-antiquark pair will be created. So, while matter falls down in the Earth's gravitational field , antimatter would rise up.
- And this is the whole beginning of this story, right? Classically, they thought they had this understanding of what the energy of the gravitational field was. All of a sudden with these new equations, they go, "Where is it?
The issue had bothered Einstein so much that he proposed a new conservation equation. It said that if we add together the energy of matter and the energy of the gravitational field , then that total remains constant. Its change over time and space is zero.
that gravity and acceleration are indistinguishable. But you can never be sure whether what is going on in your locked room is that you're in a gravitational field or you're accelerating in a rocket.
Let us say the earth is the last skin of apple and the space station is just above the skin of an apple. We needed a lot of science technology and efforts to advance this short distance. After all, we are still on the earth in its gravitational field from a cosmic standpoint. So I have some very strange feelings.
So I have some very strange feelings. Perhaps, the effort of mankind to build up to get out the gravitational field would make us grow a little bit more
speed of light and uh so for example if the if the density if the Earth had to be packed act as densely and would would have to have the gravity that's exerted by the gravitational field exerted by equivalently equivalent to that of a black hole all the matter in the Earth would have to be crushed to less than 1
certainly know that gravity exists gravity was the first thing we understood as far as Elementary forces but we have gravity being so weak that it's impossible for us to make a single Elementary graviton in an experiment we see the classical gravitational field that you get by piling up billions and billions of gravitons but individual gravitons remain elusive so part of this
get smaller because the electrons are taking up space but the gravitational field is becoming larger and larger so at some point there's a crisis at a point called the Chandra sear limit where the gravitational field is so strong the white dwarf will collapse whether it likes it or not and what happens is the electrons disappear the electrons get eaten up by protons and
At any given point, we can draw an arrow pointing directly downhill where the size of the arrow corresponds to the steepness of the hill at that point. We can repeat this process at every point, and if we then shift our perspective to two dimensions, look, what we've got is the gravitational field of the star. Mathematically, we say that the gravitational field G is equal to the negative gradient of V.
So as energy decreases in the first term, these curvature terms increase. - The energy that you lose from the system you're tracking, we now start attributing it to things like the gravitational field , which has changed 'cause the whole universe is stretched.
- Right. So let's talk about something a little more familiar just to try and hang some, some intuition on those words. - Mm-hmm. Awesome. - All right, so right in front of us, there is a gravitational field . Now- ... you can't see it, but right there. Right there. Check it out. - Yep. - If I were to take something, a pen or whatever, and put it there, it feels a force, and it falls.
While you're dealing with one large object, the chances of getting hit are extremely low. It would be very bad if you did, but very low. Trouble is nobody disputes this. Once comets are caught by the gravitational field of a very large planet or of a sun, they start to break up into multiple parts, and this is what happened to the Younger
You might assume the Earth is a round ball, has a round shape. It does not. It actually looks like a potato, if you consider the gravitational field of the planet. And this satellite has actually provided the most accurate gravity measurements ever flown in space.
But curiosity, as Flexner writes, it goes back-- it's an outstanding characteristic of modern thinking. And of course, in some sense, his great contribution to science was discover the gravitational field and think of it as something permeating all space.
He was one of the people who founded modern seismology, for example. He's also someone who, together with Henry Cavendish, created a special type of balance that enabled them to make the first accurate measurement of the Earth's gravitational field , gravitational acceleration at the surface of the earth and, therefore, deduce the mass of the earth or the weight of the earth.