Views : 2,942,465
Genre: Science & Technology
Date of upload: Sep 3, 2020 ^^
Rating : 4.927 (2,375/128,595 LTDR)
RYD date created : 2022-04-09T21:23:06.691309Z
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Top Comments of this video!! :3
03:27 "It is not acceptable to describe gravity inside space time, using gravity outside spacetime." THANK YOU. YES. This has annoyed me to no end.
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The feeling of it clicking when you mentioned that even if the apple is sitting still in space, it's still moving at a velocity through time was crazy. I've often wondered how gravity could pull something in, but I hadn't even considered time as a vector of motion. Literally made my jaw drop, thank you
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This model deserves a lot more credit and needs to be spread more widely. A lot of people studying general relativity are often troubled with the obsolete and underrepresenting rubber sheet model while others might think there is no problem with the concept which is actually not accurate enough.
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Message for those watching this video at the end of January 2021. I highly recommend you to watch the videos related to “The maths of general relativity”. Believe me, despite being totally ignorant in mathematics, I was able to “visualize” the effects of space-time curvature much more clearly !! This channel deserves an Oscar !!
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That initial marbles on a fabric model is quite popular on the Internet for newbies like me who try to understand space-time curvature. Even though your final model differ a lot from that model, you didn't simply struck it down and put yours forward. Instead, you improvised it step by step and concluded with your model. This avoided unnecessary confusiom. Thanks for doing that. Really appreciate your work.
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The last 40 seconds of this video was such a huge insight. We aren't moving through space, more that we are on a trajectory through time. And the trajectory through time is dictated by the curvature of the space time grid. We're seemingly always moving in a straight path, just that the geometry is curved.
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Great way to touch on Special Relativity too - "c" is not the speed of light, but instead is the "c"onversion factor between meters and seconds. One thing I always liked to demonstrate the 4-dimensionality of spacetime is a thought experiment: If you describe the motion of an apple with a 3-dimensional vector (up/down, left/right and forward/back), then when it's at relative rest, the direction of that vector is undefined. Stopping an object shouldn't break the math behind physics, nor should it leave us with a hidden direction variable - so something else has to be going on. Adding a fourth dimension means that when at rest in 3-space, the object is at maximum speed in the fourth dimension - time. Speeding up in one of the other 3 space dimensions necessarily means slowing down in the time direction, and you no longer need to use the magnitude of the vector to describe speed, it can be used for energy instead - plus the orthogonal space directions to the object's own time direction are no longer tied to the observer's space directions, so even time rate and dimensional length can change with the object's relative speed - therefore you get all the effects of Special Relativity for free.
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i dont know if anyone beleives it or not.. but while in my school i imagined it exactly like this in my mind.. i thought it was normal anybody can imagine it this way.. i tried explaining it to my friend at school but i couldnt he didnt understand.. and after a few months here i am looking at this video.. im so proud of myself... considering the fact that i want to be a theoretical physicist.. this is giving me so much motivation to move forward in my aim that i can do it
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10:26 so a black hole is just collapsed matter that couldnt withstand the pressure of constantly accelerating upwards, and instead follows the natural movement of the grid
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@ScienceClicEN
3 years ago
Some answers to the questions I have been asked: - Has this visualization not already been presented? No I don't think so : you may have already seen a visualization with a distorted 3D grid (like at 5:20), but the crucial point that distinguishes my new representation is its temporal dimension. It is the fact that the grid is perpetually contracting which allows us to better understand the way bodies fall (and which is more faithful to the equations). As far as I am aware this has never been represented in this way, surely because this is only possible with the video format. EDIT: I have since then discovered that this visualization does exist, at least a similar one called the "river model". It allows for an intuitive understanding of black holes for instance. - If space contracts, shouldn't there be an accumulation of space in the center? Beware no, it is not space which contracts : it is only the straight lines (geodesics) which get closer to each other due to the curvature of spacetime. In the same way that on the sphere the geometry does not change (see at 9:10) , the geometry of space-time is static, it does not vary. But this geometry gives a tendency for straight lines to come closer to the center - How to define a temporal speed? In relativity there are two different times: the time of the observer (the coordinate time / the time dimension), and the time of the object (proper time). Velocity in relativity is the derivative of the coordinates with respect to the proper time of the object. The "temporal speed" is therefore simply given by the rate at which the time of the observer passes compared to the proper time of the object. To find out more, check out my series about the Maths of General Relativity
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