Einstein's Field Equations of General Relativity Explained
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- čas přidán 27. 05. 2024
- General Relativity & curved space time: Visualization of Christoffel symbols, Riemann curvature tensor, and all the terms in Einstein's Field Equations. My Patreon page is at / eugenek
- Věda a technologie
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В электро магнитном поле электрон тоже отклоняется это тоже пространство гнеться?
Please give me your phone number and email and let me ask you some question
Please make a video about string theory
Please give me your email
Please make video about string theory
Eugene, keep SEEING physics and it's phenomenons and making world to see it too. Hats off for your animation team.
Thanks. By the way, I make the animations on my own using the software "Poser."
commander Data also worked very fast in some episodes of TNG :)
That is what i meant with Cmdr. Data aka "E. Khurtoryansky"
Wow Eugene Khutoryansky!
You are a Genius!👍👍👌👌
may I know which website can download free software Poser?
I don't know why but this channel is way underrated.
Edit: No complaints now. It has grown up pretty well although at quite a slow pace. But still, I am happy that it eventually has grown up to have 700k subscribers.
Really? you don't know?,well we have Trump in power - still and humans who believe that the earth is flat ... who by the way stand in front a flat earth convention sign and say "WE ARE NOT CRAZY"...
it’s a little slow paced (at least for me); probably because I already know most of these mathematical concepts 🙄
I think I know why. Because it's goddamn annoying. Hammering the point 'index values, not exponents' ad nauseam. The condescending robotic voice. That music, picked to be as distracting as possible. Describing the mathematical concepts completely apart from reality with zero relatable examples, zero individuality, no clear structure, making every presented transformation and concept so totally forgettable, that in the end it all just blends into a uniform blur of colorful arrows being moved around with no sense or purpose, and leaving the watcher none the wiser.
@@sharpfang if actually love the topic you will adjust to the shittiest of quality
@@gouthamkrishna4951 If you already love and know a good bit of the subject, maybe - helping you visualize the elements of the equation. The format is not conductive to learning for newcomers to the subject though, especially with its disconnect with reality. Einstein was a physicist foremost, describing our universe. This, though, is pure mathematics and the videos don't attempt to connect it to our universe in the least, completely stripping Einstein's ideas from their connection to the reality. People coming here wishing to learn how General Relativity works, will leave sorely disappointed.
How are you so good at putting a picture with the description of the concept? These are my favorite physics videos ever! Thank you for what you do!
Thanks.
I literally hated Physics in high school and college. Maybe because it wasn't taught the way that interests me. Never did I expect I would have an immense eagerness to understand it just because of this channel. I couldn't thank you more!
Relativity is a hoax, that's why it made no sense to you, you should have been the child who said "the emperor is naked".
Aaj samjh mein aa gayi? Ab toh distintion le aaoge phir! ..Humhe bhi sikha do phir gyani ji jara! 😂
I don't think your high school physics course delved into Einstein's General Theory of Relativity.
I don't even remember if it did haha I was too disinterested with the subject but then...barely remembeed any learnins from tgere @@swampwiz
This is the best short explanation of GR that I've ever come across.
Thanks for the compliment.
agreed....compliments Eugene
He didn't explain why he thinks time is a vector.
STARTED WATCHING 9 PM, FINISHED 2 AM AFTER WRITING NOTES; IM SO PROUD OF MYSELF FOR UNDERSTANDING THIS 😭🤧
Big thank you to this channel for making everything so easy to understand!!!
Thanks. Glad you liked my video.
can u give your notes pictures?
Sure you do. Read Musa Abdullahi and see if you understand that.
@@EugeneKhutoryansky UNDERSTANDING TIME (AND TIME DILATION) PURSUANT TO THE BALANCED, THEORETICAL, AND CLEAR MATHEMATICAL PROOF THAT E=MC2 IS F=MA (OF NECESSITY):
Stellar clustering ALSO proves ON BALANCE that ELECTROMAGNETISM/energy is gravity, AS E=MC2 is CLEARLY F=ma ON BALANCE. Gravity is ELECTROMAGNETISM/energy, AS E=MC2 is clearly F=ma IN BALANCE !!! This explains the fourth dimension AND the term c4 (from Einstein's field equations). Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites, AS E=MC2 IS F=ma ON BALANCE; AS the stars AND PLANETS are POINTS in the night sky. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/energy is gravity. TIME dilation ULTIMATELY proves ON BALANCE that E=MC2 IS F=ma IN BALANCE, AS ELECTROMAGNETISM/energy is gravity; AS gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE. Accordingly, the rotation of WHAT IS THE MOON matches it's revolution. The stars AND PLANETS are POINTS in the night sky. So, it makes perfect sense that the planets will move away from WHAT IS THE SUN very, very, very SLIGHTLY. Carefully consider what is THE EYE ON BALANCE !!! (Very importantly, outer "space" involves full inertia; AND it is fully invisible AND black.) E=MC2 is CLEARLY proven to be F=ma ON BALANCE. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/energy is gravity. (Gravity is ELECTROMAGNETISM/energy ON BALANCE, AS E=MC2 IS clearly F=ma IN BALANCE.) Carefully consider what is the speed of light (c). A PHOTON may be placed at the center of what is THE SUN (as A POINT, of course), AS the reduction of SPACE is offset by (or BALANCED with) the speed of light (c); AS ELECTROMAGNETISM/energy is gravity; AS E=MC2 IS clearly F=ma ON BALANCE. The stars AND PLANETS are POINTS in the night sky !!! Indeed, TIME is NECESSARILY possible/potential AND actual IN BALANCE; AS E=MC2 is CLEARLY F=ma ON BALANCE; AS ELECTROMAGNETISM/energy is gravity. Carefully consider what is THE EARTH/ground AND what is THE EYE ON BALANCE !!! The sky is BLUE, AND THE EARTH is ALSO BLUE. THE EARTH is a BALANCED MIDDLE DISTANCE form in relation to the speed of light (c) AND what is THE SUN (AS what is a linked AND BALANCED opposite) pursuant to the universal (and CLEAR) fact that E=MC2 IS F=ma ON BALANCE, AS ELECTROMAGNETISM/energy is gravity. The stars AND PLANETS are POINTS in the night sky. Gravity is ELECTROMAGNETISM/energy. E=MC2 IS clearly proven to be F=ma ON BALANCE. Carefully consider what is THE EARTH/ground !!! Great. "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent with/as what is BALANCED electromagnetic/gravitational force/ENERGY, AS E=MC2 IS F=ma IN BALANCE; AS ELECTROMAGNETISM/energy is gravity. Accordingly, objects (AND WHAT IS the falling MAN) fall at the SAME RATE (neglecting air resistance, of course); AS ELECTROMAGNETISM/energy is gravity; AS E=MC2 is CLEARLY proven to be F=ma ON BALANCE. Gravity is clearly ELECTROMAGNETISM/energy, AS E=MC2 is clearly F=ma IN BALANCE !!! It all CLEARLY makes perfect sense, AS BALANCE AND completeness go hand in hand. Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites, AS E=MC2 is clearly F=ma ON BALANCE; AS ELECTROMAGNETISM/energy is gravity. E=MC2 is CLEARLY F=ma ON BALANCE. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/energy is gravity. Gravity is ELECTROMAGNETISM/energy ON BALANCE !!! (Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE. BALANCED inertia/INERTIAL RESISTANCE is fundamental.) I have mathematically unified physics/physical experience, AS E=MC2 is CLEARLY F=ma ON BALANCE !!! GREAT !!! ELECTROMAGNETISM/energy is gravity !!!
By Frank DiMeglio
Congratulations on 200 thousand subscribers Eugene. Your work is simplistic giving a practical way of learning for viewers. The videos you create are some of my favorite to watch on the internet, thank you.
Thanks.
Watashi L desu.
Wow... This is one of these rare situations where understanding what I don't understand would already be a great achievement.
I guess I have to watch this a few more times and see what else is available on your channel. Brilliant stuff!
If you like this video, you can help more people find it in their CZcams search engine by clicking the like button, and writing a comment. Thanks.
Wonderful Video!👍👍👌👌
And share with the community, I'm sending to all my friends and collegues in the university.
I don't watch all yet, but so far 7'. it's a masterpiece of educational youtube videos.
Nice work
I want to as a question, but i know that i have not grasped the content of this video and watched it only about 55%; however the question can be made sharper, if i first try to explain my problem with curved space in an analogue example:
(here in this video it did not happen this way:) sometimes, scientific broadcasts on TV, or physicians use a tensioned(correct word?) sheet in which they throw a heavy ball, representing a mass object in space. then they roll a smaller ball around it, that ball represents a smaller mass in space.
in that example the downhill force given by the shape of the sheet shall resemble gravitation. however i can understand or imagine taht space is curved, yet this example that they use gives me an awkward feeling, i.e. the feeling that the analogy is wrong.
first: the vector of that plane is random. secondly, the force holding the ball on its path is the result of a downhill force that requires our gravitation on earth. tilting that experiment would make it invalid.
so, to start with: is that model with the tensioned sheet a simple and wrongfully illustration of "curved" space?
i could imagine curved space in 3D, but this 2D wouldnt allow to sum up tilted planes to get the same result. the "dent" could also be "upwards", but can it resemble a dent (resulting, or rather: original forces) into any other direction?
MrTiti bout that elastic sheet is a result of gravitTion
Ok
Gravitation is a result from objects moving in a straight line in curved space time.
Basucally you can say that you are using itself to show rhat it works
Nice video. I expected a calculation giving the value of the speed of expansion due to dark energy and Einstein's cosmological constant. Is the speed of expansion accelerating? Does the speed reach the speed of light?
The fact that he came.up with this 100 years ago, it's just So.so unbelievable
He didn't, 99% of these are Grossman's equations
The clarity and richness of these videos on GR are awesome. As a science professional outside the field of physics I am truly impressed on how the concepts are presented to be understandable. Thank you Eugene.
Thanks for the compliment.
These videos are top notch, please keep making more they certainty help a lot!!!!! I wish professors relied on this type of visualization
Hi Eugene (Yevgeny?), this presentation of the EFEs is the best I’ve ever come across. Not for learning GR but for learning ABOUT it, and on what (mathematical) principles it works, added to those of SR. It is worth watching several times over just to get the key intuitions to sink in. Otherwise of course it’s all into the machinery of tensor calculus. - More generally, I feel that your videos should be “must see” and “must study” material for all students of introductory physics, especially in high school, including GR and QM. Your graphic animations are becoming a legend. Thank you so much for your efforts.
Thanks for the compliments about my videos.
I dont have words how i thank you, brilliant work. I sometimes imagine that all the teachers shuld be like you(the way you explains)but you know it is only a dream for me. I want to meet you in this world before i die to give you a big big big THANKS...
Thanku so much, may creator give you the apex of sucess..aamen.
ABSOLUTE LAWS of NATURE - PHYSICS
Actual & Factual
• There must be an input of energy for there to be an output of energy.
• The output of energy cannot exceed that of the input of energy.
• An input of energy may be converted into an output of energy, and an output of energy may be converted into an input of energy.
• Energy may be converted, but energy cannot be created or destroyed.
• For every action (force of motion) there is an equal and opposite reaction (force of motion).
• For every force of energy sub-divided, e.g. as per a shotgun effect, the sum of the force of impacts is equal to the sum of the force exerted.
• The sum of the force exerted against an immovable surface area, is equal to the quantity of energy exerted.
• The sum of force exerted to form a particle or a density of matter, is equal to the quantity of energy used to form that particle or density of matter.
Rational
These laws of physics apply universally throughout the Cosmos to all sizes and types of particles of matter. And this is regardless as to where they may exist in the Cosmos, when they may exist in the Cosmos.
And whether or not they exist within a voluminous free state of, e.g. interstellar space, quantum space, gases, fluids, or within organised structures of, e.g. electromagnetic wavelengths, atoms, stars, celestial bodies and any other form of matter.
Oxford English Dictionary
Energy: The capacity of matter or radiation to do work: The means of doing work by utilising matter or radiation. (Author. Energy is a substance that is always in motion, and it is the density and the power of its accelerated motion, relative to the resistance of a smaller or less dense quantity matter, which serves to transfer a force of acceleration into the smaller or less dense quantity of matter).
Force: A measurable influence that causes something to move. (Author: Please see above definition as per energy).
Gravity: 1 a. The force that attracts a body to the centre of the Earth or other celestial body. b. The degree of intensity of this measured by acceleration. c. Gravitational force. (Author: A downward acting attractional energy that is being exerted upon particles of matter, atoms, and bodies from the Earth's centre of gravitation).
Gravitation: 1. A force of attraction between any particle of matter in the universe and any other”. 2. The effect of this esp, the falling of bodies to earth.
OED Quote: *1 a. The force that attracts a body to the centre of the Earth or another celestial body.*
OED Quote *1. A force of attraction “between any particle of matter in the universe and any other”*
Rational
Reiteration Quote: These laws of physics apply universally throughout the Cosmos to all sizes and types of particles of matter. And this is regardless as to where they may exist in the Cosmos, or when they may exist in the Cosmos.
And whether or not they exist within a voluminous free state of, e.g. interstellar space, quantum space, gases, fluids, or within organised structures of, e.g. electromagnetic wavelengths, atoms, stars, celestial bodies and any other form of matter.
As such, given that there has to be an energy input for action and reaction (*attraction*) to take place between any two particles throughout the Cosmos.
So it is, that there has to exist at the quantum (infinitesimal) level of the Cosmos, a universal, ubiquitous source of energy, which fundamentally serves to fuel every action and reaction throughout the Cosmos.
All particles of matter throughout the Cosmos possess spin - rotation, and all particles and bodies of matter that have spin - rotation, generate centrifugal force from their centres of gravity.
The Earth is a large spinning sphere of matter that appears to be isolated in empty outer-space, which spins - rotates around its magnetic centre of gravity at a rate of 1,000 miles per hour.
The Earth is a large spinning sphere of matter that appears to be isolated in empty outer-space, which possesses a surrounding electromagnetic field (Magnetosphere) generated from its magnetic centre of gravity.
However, although the Earth appears to be isolated in empty outer-space, it is categorical that for the Earth and its magnetosphere to exist and to be maintained in outer space, it is outer-space that must be the source for supplying the energy that is essential for fulfilling this task.
Therefore regardless of assumption based theories, and those theories wherein their authors have disingenuously circumvented the Natural Laws of Physics, to promote it for their own gains.
The laws of physics concerning the absolute necessity of there being an energy input and output, to fuel all actions and all reactions throughout the Cosmos.
Serves to confirm, that interstellar space is a universal and ubiquitous ocean of fundament energy existing at the quantum (infinitesimal) level of the Cosmos, whereby it exists “between any particle of matter in the universe and any other”.
And pervades through all matter of the Cosmos, to fuel all actions and reactions of the Cosmos.
First Law of Thermodynamics
Energy may be converted but energy cannot be created or destroyed.
And the reason for this is that energy is cyclic in nature, in that it is converted from one level of energy to another higher or lower level of energy, via the means of addition (gravitation - coalescence - atomic bonding - fusion) or subtraction (atomic division - splitting - fission).
Which essentially means, that as neither additions or subtractions of energy can serve to destroy the fundamental nature and integrity of energy, so it is that although in can be cyclically converted it cannot be created or destroyed.
And the fundamental energy of the infinite and eternal interstellar oceans of our Cosmic Mother Nature, are the sum of all that has been, all that there is, all that will be.
Regardless of Lemaitre's disingenuous abracadabra Big Bang Theory, or the abracadabra Six Day Creation theory of Jewish Roman Capitalistic Theologians.
EINSTEINS GENERAL THEORY OF RELATIVITY GRAVITY
According to Einstein's original theory of gravity and acceleration, he stated that If a lift was taken into outer space and a light beam was shone laterally across the width of the lift, if the body of the lift was then upwardly accelerated, the light beam would bend down toward the floor of the lift, due to the downward acting force of gravity. A force which he maintained had a downward acting pushing effect, rather than an attractional effect as per the Oxford English dictionary definition of gravity.
Oxford English Dictionary Gravity Physics:
Gravity: The force that attracts a body towards the centre of the Earth, or toward any other celestial body. Einstein also maintained all of his life that nothing could exceed the speed of light; however given that the light beam in the lift would be travelling at a speed of 300, 000 kilometer's per second.
it follows, that the amount of acceleration that would be needed to be applied to the physical structure of the lift in order to bend the light beam, would have to be in excess of the light beams speed of 300,000 kilometers per second.
Therefore, given that as all physicists would agree, it is impossible for any solid atom based structure to travel at or beyond the speed of light.
So it is that Einstein's General Theory of Relativity (Gravity) is totally disingenuous, and never was or has been worth the paper it was written on.
Actual & Factual
Einstein was a late walker, talker and reader.
Einstein was a poor and tardy student.
Einstein Failed at Mathematics then used his friend’s notes to pass his next maths exam
Einstein did not qualify as a physicist. Einstein and his wife Mileva Maric*coincidentally* failed their finals with the same score of 59 out of 100 the pass being 60. However Einstein was given a pass, while Mileva a brilliant student was failed.
Curved Geometry Simplified For Everyone
The Natural Circle And It’s Square
Given a "Diameter Distance" of 120-centimetres.
1. Multiply the 120-centimetre Diameter Distance by 3.
2. The length of Distance to the length of the Circle's Circuit is 360-centimetres.
3. The length of Distance to the length of the Circle's Circuit, is 360-degrees.
4. Each degree of Distance to the length of the Circle's Circuit, is 1-centimetre in length.
Squaring the Circle
5. Multiply the 120-centimetre Diametric Distance by 4, the Perimeter Length of the Circles Square is 480-centimetres.
6. The Circle is both 360-centimetres & 360 Degrees in length, which is three-quarters of the length to the Circles 480-centimetres perimeter square.
Simply
Three times the length of…A Line…is the length of the lines Circle.
Four times the length of… A Line…is the length of the lines Square.
THREE TIMES THE RADIUS SQUARED
Using a 120-centimeter diameter (Diameter Distance) multiply the diameter by 120, this will yield the sum of 14, 400 square centimeters to the square of the diameter.
Using the radius (Radius Distance) of the diameter of 60-centimeters multiply the radius by 60, this will yield the sum of 3,600 square centimeters to the square of the radius.
Multiply the 3,600 square centimeters square of the radius by 3, this will yield the sum of 10,800 square centimeters to the area of the circle, which is three-quarters of the 14,800 square centimeters of the square of the circle’s diameter.
www.fromthecircletothesphere.net
I think the visual aids to these lessons is invaluable for folks like me. Thank you to the team that put all this together. Graphics, narration, teaching structure, and also the music. Wonderful!
Thanks for the compliments. The team was just Kira and me.
Incredible! Extraordinary! Very clear! I'm French and I lives in France today, but I love mathematics, physics and relativity. Great thanks!
Love to see the the basic fundamental approach to calculus applied all over the place. Makes the basis of geometric conceptualization so satisfyingly rudimentary.
well the mathematics of general relativity is differential calculus
Yo Eugene its me again Catface
These videos are awesome I showed them to my professor he said
"Yo Catface these videos are dope" and I was like "Yo professor I know right"
I will cherish the moments I watch these videos and what they teach me
I am glad that you and your professor like my videos. Thanks.
Dude, I've said this a tons of times before. You're AWESOME!
I'm glad I am one of your former subscribers.
Thank you very much for this SUPERB quality, visual, explanation of GR
The opening and exposure of the tensors components really helped me out
You are one of the best physics channels Eugene, keep it up! Thank you :)
Thanks.
Been watching for years, love the videos and narrator.your the best at this.
Thanks.
The nature of the content and the explanation (nothing short of a 'wow') aside, the music is just brilliantly played out ❤️
I finally understand what "positive curvature" and "negative curvature" for space means! That was such a great explanation
I find the Rhapsody is oddly appropriate to this subject matter.
I had the opposite reaction
Personally I found the background music quite distracting, which may be due to the fact I am a lover of classical music and cannot focus on anything else when hearing it.
I love classical music to, but in my case it just helps me to focus (I like to work and study with music in the background).
@@diedigitaldenkfabrik8327 Quite right. It's the same when you make a telephone call you switch off the music. But nowadays every documentation is combined with music what makes it difficult to follow the main subject.
@@diedigitaldenkfabrik8327 Quite right. It is the same when you make a telephone call you sitch off the radio, because it is difficult to follow two acustic informations (explaination / music). But nowadays every documentation unfortunatly is added with music.
Your explanation is really perfect. Thank you so much.
This is honestly one of the best explanations of the Christoffel symbols that I have ever seen! Your videos are always so clear and informative, and I really appreciate your work.
Thanks!
I have a degree in physics and have learned more about GR in 30 minutes than I did in an entire semester.
Thank you for your lucid presentations.
Thanks for the compliment. I am glad my video was helpful.
I will have to watch this at least 20 times. Thanks for the upload! :)
Well, finally somebody makes one of these things which actually explicitly shows the tensor as a matrix. We even get an intuition for the Christoffel. This is really the best video on CZcams on this, excellent in 28 minutes. Thinking about gamma ..... I guess if we could conceive of a velocity which was absolutely negative we could get mass decreasing with velocity using the Lorenz formula. I'm still a long long way off mastering this but I felt I just got significantly closer. Thanks, Sir.
Thanks for the compliment about my video.
It may be great. But I think so only for people with some background.
ABSOLUTE LAWS of NATURE - PHYSICS
Actual & Factual
• There must be an input of energy for there to be an output of energy.
• The output of energy cannot exceed that of the input of energy.
• An input of energy may be converted into an output of energy, and an output of energy may be converted into an input of energy.
• Energy may be converted, but energy cannot be created or destroyed.
• For every action (force of motion) there is an equal and opposite reaction (force of motion).
• For every force of energy sub-divided, e.g. as per a shotgun effect, the sum of the force of impacts is equal to the sum of the force exerted.
• The sum of the force exerted against an immovable surface area, is equal to the quantity of energy exerted.
• The sum of force exerted to form a particle or a density of matter, is equal to the quantity of energy used to form that particle or density of matter.
Rational
These laws of physics apply universally throughout the Cosmos to all sizes and types of particles of matter. And this is regardless as to where they may exist in the Cosmos, when they may exist in the Cosmos.
And whether or not they exist within a voluminous free state of, e.g. interstellar space, quantum space, gases, fluids, or within organised structures of, e.g. electromagnetic wavelengths, atoms, stars, celestial bodies and any other form of matter.
Oxford English Dictionary
Energy: The capacity of matter or radiation to do work: The means of doing work by utilising matter or radiation. (Author. Energy is a substance that is always in motion, and it is the density and the power of its accelerated motion, relative to the resistance of a smaller or less dense quantity matter, which serves to transfer a force of acceleration into the smaller or less dense quantity of matter).
Force: A measurable influence that causes something to move. (Author: Please see above definition as per energy).
Gravity: 1 a. The force that attracts a body to the centre of the Earth or other celestial body. b. The degree of intensity of this measured by acceleration. c. Gravitational force. (Author: A downward acting attractional energy that is being exerted upon particles of matter, atoms, and bodies from the Earth's centre of gravitation).
Gravitation: 1. A force of attraction between any particle of matter in the universe and any other”. 2. The effect of this esp, the falling of bodies to earth.
OED Quote: *1 a. The force that attracts a body to the centre of the Earth or another celestial body.*
OED Quote *1. A force of attraction “between any particle of matter in the universe and any other”*
Rational
Reiteration Quote: These laws of physics apply universally throughout the Cosmos to all sizes and types of particles of matter. And this is regardless as to where they may exist in the Cosmos, or when they may exist in the Cosmos.
And whether or not they exist within a voluminous free state of, e.g. interstellar space, quantum space, gases, fluids, or within organised structures of, e.g. electromagnetic wavelengths, atoms, stars, celestial bodies and any other form of matter.
As such, given that there has to be an energy input for action and reaction (*attraction*) to take place between any two particles throughout the Cosmos.
So it is, that there has to exist at the quantum (infinitesimal) level of the Cosmos, a universal, ubiquitous source of energy, which fundamentally serves to fuel every action and reaction throughout the Cosmos.
All particles of matter throughout the Cosmos possess spin - rotation, and all particles and bodies of matter that have spin - rotation, generate centrifugal force from their centres of gravity.
The Earth is a large spinning sphere of matter that appears to be isolated in empty outer-space, which spins - rotates around its magnetic centre of gravity at a rate of 1,000 miles per hour.
The Earth is a large spinning sphere of matter that appears to be isolated in empty outer-space, which possesses a surrounding electromagnetic field (Magnetosphere) generated from its magnetic centre of gravity.
However, although the Earth appears to be isolated in empty outer-space, it is categorical that for the Earth and its magnetosphere to exist and to be maintained in outer space, it is outer-space that must be the source for supplying the energy that is essential for fulfilling this task.
Therefore regardless of assumption based theories, and those theories wherein their authors have disingenuously circumvented the Natural Laws of Physics, to promote it for their own gains.
The laws of physics concerning the absolute necessity of there being an energy input and output, to fuel all actions and all reactions throughout the Cosmos.
Serves to confirm, that interstellar space is a universal and ubiquitous ocean of fundament energy existing at the quantum (infinitesimal) level of the Cosmos, whereby it exists “between any particle of matter in the universe and any other”.
And pervades through all matter of the Cosmos, to fuel all actions and reactions of the Cosmos.
First Law of Thermodynamics
Energy may be converted but energy cannot be created or destroyed.
And the reason for this is that energy is cyclic in nature, in that it is converted from one level of energy to another higher or lower level of energy, via the means of addition (gravitation - coalescence - atomic bonding - fusion) or subtraction (atomic division - splitting - fission).
Which essentially means, that as neither additions or subtractions of energy can serve to destroy the fundamental nature and integrity of energy, so it is that although in can be cyclically converted it cannot be created or destroyed.
And the fundamental energy of the infinite and eternal interstellar oceans of our Cosmic Mother Nature, are the sum of all that has been, all that there is, all that will be.
Regardless of Lemaitre's disingenuous abracadabra Big Bang Theory, or the abracadabra Six Day Creation theory of Jewish Roman Capitalistic Theologians.
www.fromthecircletothesphere.net
My favorite video on CZcams. This video sparked a curiosity in me (in May of my senior year) that encouraged me to go on and teach myself general relativity and to wright a book on the subject. I'm now entering my second year of college and even took GR this Spring (accounting for only a portion of my knowledge in GR) -- I got a perfect score on my final exam. Now, I'm just so excited to study! I want to make my own impact, just like Einstein! I also adore Gauss and Riemann because of their work in Surface Theory and Riemannian Geometry, respectively.
I am glad that you liked my video and that it made a difference. Thanks.
This is a beautifully crafted video. Although I don't understand many aspects of the space-time concept, looking at this video is such a visual delight that I'm gaining an intuitive grasp ot what it is all about. Many thanks for an ongoing educational experience.
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Thanks.
Bhai hindi me plz
@@sahuvishaldinara nobody cares about how illiterate you are. So shut up
Spanish
FACT !
GAS BONDING totally destroys Einstein's Space Bending and Newton's Gravity/Black Holes.
Including Newton's apple !
All downward falling motion begins when active rising gas molecules in motion becomes trapped and motionless within the process of GAS BONDING, the making of solid objects with ENERGY LOCK lifeless dead gas molecules falling downward.
This is scientificly known as the mechanism of GAS BONDING, which take on a state of solid mass, blocking out its electrons motion, it's fire power, thus becomes ENERGY LOCK lifeless dead gas molecules falling downward in real time, fallowing it's Electrons Unlimited Potential Velocity, at the speed of light, connects with the earth ENERGY CONSERVATION SYSTEM, establishing a downward falling path, for trapped ENERGY LOCK lifeless dead gas molecules/solid objects only.
Equating the above FACT with the physical universe, same as Einstein's E = MC2 equates with the physical universe.
E = ENERGY = MM = MOLECULE MOTION = Molecules in motion within star flames earth gases birds and balloons plains and rocket's , even us humans rise from molecules in motion, creating an ENERGY FLOW, the ruling force of the universe.
M = MASS = GB = GAS BONDING = Gas Bonding take on a state of solid mass, blocking out its electrons motion, it's fire power, thus becomes ENERGY LOCK lifeless dead gas molecules falling downward in real time.
C2 = LIGHT SPEED = E = ELECTRONS = Electrons Unlimited Potential Velocity, at the speed of light, connects with the earth ENERGY CONSERVATION SYSTEM, establishing a downward falling path, for trapped ENERGY LOCK lifeless dead gas molecules/solid objects only.
Gravity is a mythical concept that's mentally applied by Newton, solely to guarantee needed results to it's point of origin, the BRAIN !
The narrator has a clear voice and pronunciations. The explanation is super clear.
All teachers and professors should be trained to explain like this.
Please make a video on transforms ( laplace, fourier, z transform ) as these will help many engineering students.Many people take it for granted very little is known about its physical meaning, there are subjects in engineering based on transforms like signals and systems , signal processing, control theory, etc your videos will surely make a difference in understanding these subjects.
Sir , need it badly.
I already have a video on Fourier Transform at
czcams.com/video/r18Gi8lSkfM/video.html
Sorry sir, my mistake, just copy pasted the same comment in previous video.
czcams.com/video/spUNpyF58BY/video.html
Plz DOn't help the engineers with easy to grasp videos - it makes them dumb and enslaved. Please let people grow mathematically as much as they manage on their own without dumbed down practical explanations that allow them to use theories without understanding them.
Absolutely excellent. I can visualize the operations of the equations far better now. As a visual learner, this does far more for me than lectures explaining the origins of the various parts of the equations and their implementation. Those work well too, but they require a LOT more brain power since all the visualization has to be done inside my head. Incrementally changing the index values was extremely satisfying. It really shows the elegance of the theorem.
Thanks. Glad you liked my video.
I have been fascinated by Einstein's equations since 1966 as a hobby. This is the clearest explanation of the relationship of R (curvature) R[i,j] (Ricci tensor) and R[i,j,k,l] (Riemann tensor). Up to now I accepted the use of contraction of Riemann tensor to Ricci tensor as "hand waving" by Einstein because it gave the right answers. Kudos. Claudio Delise M.D.
Thanks for the compliment about my explanation. I am glad you liked it.
best GR video that i ever saw
Thanks for the compliment about my video.
tnx but why they use covariant index in EFE not the contravariant index it their a physical difference between them ?? and thx again
lebron abdourahmane I think it comes from the Reimann-Christoffel tensor. When you contract it into the Ricci tensor the indexes are covariant, so the rest are oriented likewise. Of couse you could always raise them.
same here
Yuu
A well made visual presentation. Thank you. A few subjective observations : 1. The intermittent pause in the speech gives enough time to absorb the idea, as the animation progresses in the mean time. 2. I moved back and listened again sometimes as the information being said was dense. 3. The musical score in the background could have been at a little lower volume.
This was incredible! Nobody ever taught me that the Christoffel symbols represented what you showed in this video, I just knew they were somehow tied to the curvature of the coordinate system or the space itself, but not in what way. Wow, this was excellent!
Glad you liked my explanation of Christoffel symbols. Thanks.
This is such a powerful video, Eugene! I’m so glad I stumbled upon it. It’s the only illustration and best presentation I’ve seen on the subject. It leaves you with a much more intuitive understanding of GR.
Thanks for the compliments about my video.
I'M 59 years old and I have been studying relativity for the past 2 years. I wish I had study this field when I was much younger. It's very fascinating especially when applied to astronomy and moving objects through space.
This is the best explanation for GTR in short time which I have come across... Especially the way u handled the mathematical symbol in animated way (particularly christoffel symbols) was outstanding....
Thanks for the compliments about my explanations.
This channel is for sure one of my favorites
Thanks.
I think i'll just stick with Newton. Works for me.
for me Joule works
And Newton said the world was based on billiard balls lel.
Willful ignorance
@ I totally believe you.
It's not a bad approximation. It was good enough to get us to the moon!
Wow ! Just wow ! Einstein was actually a true genius .
And thanks for the animation. 👍
Thanks.
"Talent hits a target others can't reach. Genius hits a target others can't see."
Honestly, incredible visualizations! Very well thought out dialogue. Impressive!
Thanks for the compliment.
This and the other videos on this channel for general relativity in general are very helpful for understanding general relativity, I appreciate that high level over view with comprehensive math at its core.
Thanks for the compliment.
Wonderful Video!👍👍👌👌
Thanks. I am glad you liked it.
You AreWelcome Eugene Khutoryansky Ji!😊☺☺😊
Came for Einstein, Stayed for Liszt.
Really, think I'll play that after this video.
I thought it was Smetana, but you may be right.
This video is much like the first Rocky movie. I watched it 100 times and i know every single word. I've been studying gr on my own for more than a year. I'm currently studying Bernard Schultz's "General Relativity". Schutz's book is a superb intro on the topic. And, for any beginner, watch this video over and over!! This video has done more to foster my intuition than anything. It gives an aerial view of the subject.
I am glad to hear that you liked my video that much.
I like how clear this presents the information. Excellent work.
Thanks for the compliment.
Topic suggestion: holograms, How do they work and how they are made.
That is on my list of topics for future videos. Thanks.
Wow! Space-time is just, too amazing. It's really a privilege to live in an era that we could understand even a small proportion.
You'll never understand it because it's not true.
Outstanding. It's nevver been clearer than as detailed in this video. No guarantee my friend who gets exasperated at me when I try to explain what I understand of the equations' parts, and all I can say to her is there's more to what's in the terms than is obvious. Also, it's like knowing what's going on,but failing in describing it to her, despite, also my own early mis-interpretations and misunderstandings adding to my own ignorance I feel in thinking it over, with a brain I'm told is afflicted with Asperger's.
Kira does a great narration, thanks so much for this channel.
Thanks for the compliments.
Very well done. Thank you very much for taking the time to make this video. I will share to spread the word.
Thanks for the compliment.
Thank you again Eugene, for a fantastic educational video! Though I must confess that I can't really appreciate the content of this video, since I can't yet understand it properly. I'll be learning this next spring, when my theoretical physics courses begin. This autumn is going to be only electromagnetism and mechanics served with a load of mathematics courses. :)
Honesty will get you far in life. Read Musa Abdullahi to understand this. Study geometric algebra to learn the correct framework for space time. Once you understand that time is a scalar, all will be clear.
very nice explanatory videos👍👍....good work
Suggestion: Your videos are well scripted and animated. Try to generalize the concept in your videos because not much people understand the physics which you presented. So, I recommend you to generalize some concepts in your video which the lovers of science can understand well without knowing much physics that will ultimately help to capture more audience of science lovers....
You deserves the best and all the best !!!
I love these videos so much. Even as a physics student who has studied Einstein’s theory extensively, I still find this video incredibly helpful to remind myself what these quantities mean. A very elegant theory!
Thanks for the compliment about my video.
Awesome explanation !
A little precision about the last words of the video : there are two theorems due to Whitney and Nash which together imply that any (Riemannian) manifold (in particular any geometric model of space time) can be embedded in a nice way into a larger Euclidean space, which philosophically means that both points of view, the Euclidean extrinsic and non-Euclidean intrisic ways of thinking actually coexist.
This is why in some cases we can literally see behind large celestial objects as if were seeing through them. That's trippy.
Might as well just take lsd I guess.
lol i wonder how the hell Einstein' explained this to his colleagues, i bet they understood nothing.
He spent 10 years learning the math for this, so first some of his colleagues had to teach him Riemannian geometry. All this curved space geometry and tensors were already known in mathematics.
yea but he was the one to figured it out and not them, which shows how much patient and curious he was to discover something, unlike most of his colleagues. really #RESPECT
Where did you read that Hilbert derived it first? By all accounts I've heard/read, they both derived it simultaneously (although Einstein was under tremendous pressure bc Hilbert was the better mathematician and was trying to beat Einstein to it)
Einstein didn't derive the first GR. He just derived the first version which was consistent with physics. Some Finnish physicist tried to make a GR theory with scalar fields. Which did not work since it turns out the scalar field are that of the spin zero particles or rather the Higgs field.
They did not want to accept everything grows out of space due to wave-icles.
one of the best instructors i ever found on the internet
I'm glad to see you do another video on this!
impressive video
Thanks.
Today is the best day in my life.
Thanks
Lmao dude
I am glad you liked my video that much.
Khoa Nguyen You need to get out more dude.
Khoa Nguyen
Fb.com/groups/ThuyetTuongDoi
Is it like one of those days where you realize that a man falling from a building would not feel his own weight!?!?
To me this is the best channel on CZcams. We are all very very grateful Eugene.
Thanks for the compliment.
I like the way classical music is applied as background on this channel.
I liked this video because that makes me feel as if I understood it😁
Your comment have deep meaning
Really good content and an excellent introduction the Riemann curvature tensor, which there are not many good introductory videos to.
Can you tell me the music at the beginning? I know it and I'm thinking Tchaikovsky but I just don't know!
Nevermind! I remembered it was Liszt!
Waay off
yes Hungarian Rhapsody
Amazing video, simply amazing. It was like everything that I knew went into the right place. I was mindblown away with how everything fell into place.
Thanks. Glad you liked my video.
Amazing video! This presentation helps a person understand tensors. Not so much of a jumble of indices subscripts and superscripts.
Why if you increment some amount the coordinates of axis x2 your position changes from x2=15 to x2=1 ? Aren't you going backwards in that axis?
At 3:49
Think of this as polar coordinates. If you are at "theta = 359 degrees", and you add one more degree to get to "theta=360 degrees", you are essentially back at "theta=0 degrees."
Amazing job! But, unfortunately it is too much for me.
Honesty! Good for you.
Wow! That's Awesome!!! This is the first time I found a clear demo for the concept of parallel transport!
Thanks.
Your videos are always amazing and making me crystal clear....
Thank you
Thanks for the compliment about my videos. I am glad you like them.
Fantastic stuff, but why does Ruv + Rguv/2 +^guv equal 8piGTuv/c4?
It is a postulate of general relativity. However it can be derived with some assumptions. You can check out these lecture notes for 2 different derivations, in the chapter on gravitation www.preposterousuniverse.com/grnotes/
The first derivation you motivate it by taking the weak field limit and then generalize the classical Poisson equation. The second derivation is through the principle of least action. Too much to explain in a youtube comment, you'll want to read it yourself.
If you have not yet studied a lot of physics, it may take many years of studies before you'll be able to fully understand it.
Thanks for this.
Any time.
Hey, lecture notes by Sean Carroll. Awesome.
Yeah they are great.
Felt like the background music was superb. If one can remembers the entire music the lecture can be easily reproduced.
These are what i refer as hidden gems on Internet for curious ones. Thanks Eugene Khutoryansky and the team.
Your videos are amazingly well produced and described... much respect
Thanks for the compliment about my videos.
@@EugeneKhutoryansky No problem! You deserve the recognition!
Dark Energy = Dark Matter x (Speed of Dark)^2
dat pseudoscience
Holy crap
Finally, a formula to create a dark energy reactor. Quantum energy to time travel between dimensions..this is the key. :D
I love the equation. Actually cracked me up.
who needs drugs? 👀👀
👀😑im lookin away
If you don't have 'em, don't be a tease. Never mind, in my best Emily Litella voice after reading that again.
Is that a proposition?
General Relativity and Quantum Field Theory have actually blown my mind when under the influence of psychedelic drugs. If you already know the subjects well and try to work on them under the influence, you see a kaleidoscope of mathematics and gain a more intuitive understanding of the theories.
The subjects that have tripped me out most on mescaline or LSD are algebraic geometry and topology. I already felt like I was tripping for the first hour after leaving my graduate courses on the subjects.
Thanks for this. I started that series of video lectures that Stanford has on general relativity and while they cover a lot of math, they don't really put effort into visualizing it. So hopefully this combination can get me through.
A wonderfully clear explanation (via visualisations) of the equations.
Thanks for the compliment.
Jeez Einstein, how many numbers do you need to do this?
Einstein: all of them!
First video where i couldnt follow along at all
Dont worrie. General realtivity is so hard that you would only get a glimpse, even after 20 hours...
I need to read the book on tensors then I will continue watching Eugine videos
This video is fantastic. I can not mention how you made consorted effort. Thanks.
Thanks. I am glad you liked my video.
My man Eugene back with another instant classic!
Thanks.
Watched the whole thing
Didn't understand a single thing
damn that music is so annoying
Why?
it makes me feel so depressed
fugacityx dunk “You don’t like it? Go somewhere else,” -Richard Feynman
zoomer problems
I have learned a lot from special and general relativity and tensors with this video. Thanks and congratulations to your creator.
Thanks. Glad to hear that my video was helpful.
It's so easy to understand it that way....keep up the good work
Thanks.
Don't ask me how much I understand, but I complete this video with the help of your great animation. Thanks
This [great] video just reminded me how good was the book "The Classical Theory of Fields" by Landau and Lifshitz. Very few use it unfortunately.
I like how you made the equations curve along with spacetime from 0:01 to )0:22.
Thank you so much for this video. Visualizing these proprieties can be very tricky.
Thanks.
This video is wonderful. He helped me understand the geometric meaning of the Christoffel symbols. Thanks you.
Thanks. Glad my video was helpful with Christoffel symbols.
Two ads!?
I hope you make lots of money and can keep making great videos that I get to watch for free! Keep up the good work!
Wonderful graphics! Clear explanation of the equations!
Thanks for the compliment.
That visualization of the fourth-order curvature tensor R is pure gold!
Thanks. Glad you liked it.