Laplace’s Black Holes: How Math Predicted the Future

This time we are going on a journey to the most mysterious objects in the universe: black holes. Get your cup of tea and enjoy the ride!

Some useful links...

[retiredmeme]

I genuinely learned alot from this video, and I usually don't feel that to the same degree with other math channels

[khudza]

Thank you A LOT for that video. Finding that formula with simple math is so satisfying when youn understand, it's really fun and yet extremely comprehensive.

[zrakodeloco]

Just like your name says. That was an excellent visual representation with all the mathematics even someone with just a basic background in math can follow. Bravo

[Miyelsh]

This channel is brilliant and I've been watching enthusiastically since your first video. Keep this up and I can see this channel going far.

[j.c.rodsil]

Amazing vid, one of the best here in YT

[rtt]

An exceedingly well-organized and informative video.

[ztwntyn]

I felt so lost but hung in there. Now it makes sense. Glad I watched the whole vid!

[esquilax]

Fascinating stuff, I'd never heard of this before

[dcterr]

Your videos are fantastic! You need to make some more!

[MrBeen]

Where did this guy go ? This is one of the best channels in yt

[korany]

an awwesome explanation 🎉 keep explaining space stuff using math. complex number might be the next one

[cristiandalessandro]

The rocket doesn't need to reach the escape velocity to "get out" of the gravitational field because during the launch it's almost always accelerating and, depending on the fuel usage, the acceleration towards outer space can become greater than g. The escape velocity is only needed by relativity-wise inertial bodies (which relativistically don't accelerate because they follow inertial world-lines).

By the way, since gravity has a really weak field, even though every body and energy source generates a gravitational field, the farther away those other bodies are, the more negligible their gravity becomes when calculating escape velocity.

It's also not considered that the escaping body could at any moment have its velocity vector diverted by an extraneous cause (maybe an electromagnetic interaction, maybe another gravitational field, maybe something else) or even totally nullified by a transfer of momentum (a sudden hit against another body).

So the escape velocity would be totally valid if not exact in a universe with the earth, the tennis ball and no other mass/energy.

However, in the practical case, at the point when the actual velocity could become less than the escape velocity the body would already be too far from the first gravitational field and would get a stronger attraction to a second one.

[adam_papamastorakis]

Great video and really nice and simple explanations for the mathematics behind the described concept.

[rndm_gry]

BRO HOW DOES HE NOT HAVE MILLIONS OF SUBS BRO THIS GUYS FREAKING AMAZING

[adriancarballoza]

I got lost when calculus started😂😂, still love the video

[kirkdoray]

Will you be making more videos? Hope all is well. Like your content

[jonathanjollimore]

It tells the story of how the universe works

[leonardtramiel]

You say that a black hole will change the direction and frequency of light and show it visually. The direction part is correct. The frequency *does* change but not the way it is portrayed in the video. The frequency is reduced as it gets closer to the black hole and then goes right back up as it goes away.

[attadarshimeshram]

Hit the like button for god sake the man made it sound so simple while explaining most of it

[MillionairePhil]

5:25 I'm too lazy to do the calculation right now but isn't the escape velocity to get to Mars different since the velocity needed to stay in low earth orbit is about 8km/s and from there you simply raise your orbit but you technically still are in orbit whereas the escape velocity straight up is simply about 11km/s?