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Nice article. TL;DR:

- Start with the answer first.

- Group and summarize your supporting arguments.

- Logically order your supporting ideas.

I think the first point is the most important one. To get the attention of busy executives it is important to give them the answer first and then elaborate. The answer would get their attention and that's a battle half won already.


You are talking about very large cities only. How about most of the U.S. with smaller cities and towns?


Small cities are the worst. Witnesses are the best protection against crime, but there is no one out after 8:30 in the evening. You could unload a dead body from a van and when it's found the following morning no one could tell where it came from.


Living in what is certainly considered a small city (or even smaller than that), not a lot of dead bodies lying around in the morning left by random crime rings...


The person they replied to said you can't walk around "downtown". In my experience that's a term only used in/for large cities. Smaller cities and towns don't really have CBDs.


Every small town in the south has a "downtown". Often it's the old area of town built up around the railroad tracks.


What does it mean for a black hole to spin at the speed of light? Which point on it spins at that speed?


I wondered this myself, since the singularity is assumed to be a point, thus it should spin as fast as possible.

But this appears to be more complicated:

https://physics.stackexchange.com/questions/183832/typical-r...

https://physics.stackexchange.com/questions/174247/is-there-...

Taken from one of the stackexchange posts, this is quite interesting: http://www.nature.com/news/spin-rate-of-black-holes-pinned-d...


Essentially, when spinning a black hole doesn't have a point at it's center but a ring (a point can't rotate).

Theoretically a black hole can spin faster than the speed of light since the event horizon is just space, not matter, and space can certainly exceed the speed of light (see expansion of the universe).

IIRC from relevant literature, the event horizon shrinks with increasing speed until it vanishes once the speed of light is exceeded and leaves behind a naked singularity; a black hole with no event horizon.


What is a black hole with no event horizon? Does that mean that once crossing, you are instantly subject to a great gravity? So there's a gravity gradient? How is that possible?


It's a naked singularity. Light can escape from the center ring of the singularity and you could possibly observe it. What exactly it is we don't know, our physics just break down that deep into the gravity well. It could just be a barely visible ring that saws your spaceship in half if you fly through or a wormhole or possibly anything really.


The event horizon is not a shield from gravity. It's the theoretical shell/radius inside which light cannot escape no matter what direction it's travelling. Photons sort of accumulate around the event horizon of a spinning black hole[0], because it takes them more orbits to escape the closer they get to the horizon, but without any matter/photos to observe, the event horizon is just a theoretical shell/radius limiting observation.

A black hole without an event horizon is a naked singularity[1], a concept in theoretical physics resulting from looking at the mathematical equations that describe black holes and observing that the event horizon's radius becomes undefined at certain angular velocities[2]. It's not clear if it can exist in reality.

AFAIK (not a physicist), gravitational force of a specific object (as a function of distance) cannot be discontinuous, can it? It's definitely not under the classical F=G(M1)(M2)/r^2 equation. Force can't be discontinuous unless mass changes discontinuously or space changes discontinuously. But I don't know if there are extreme conditions (and a naked singularity might qualify) where that equation breaks down, or is thought to break down?

[0] to support the movie Interstellar, several people worked on an accurate rendering, based on known physics, of a rotating black hole: https://astronomynow.com/2015/02/14/interstellar-technology-...

[1] https://en.wikipedia.org/wiki/Naked_singularity

[2] https://physics.stackexchange.com/questions/147034/rotating-...



It means that the black hole is close to extremal. This means that the space near them is deformed in even more interesting ways than around a boring old non-spinning spherically-symmetrical hole.

I think it's often assumed that most black holes in the universe would have relatively low spin, compared to their mass. The research here is saying that, perhaps, the way that stars collapse would produce near-extremal holes in most cases, so they would be common in the universe.

I recommend reading up on black hole geometry ad Kerr(-Newman) holes; it's likely that any description that fits in a HN comment will leave you knowing less than when you started.


Rotating black holes have a ring singularity, not a point singularity.


I am confused by this as well. The only thing I can imagine is "the matter falling into the hole at the event horizon moves at near the speed of light, relative to the center of the black hole". But I'm not 100% sure.

The angular momentum inside the black hole should then also reflect this, but I don't know if physicists are too confident about what the matter inside a black hole looks like.


MD5 is not an encryption algorithm. There is no key!


Microsoft Natural Ergonomic 4000


Uh? Your parent comment was referring to often ill suited "X considered harmful" type of articles.


The Problem with Article Titles


I doubt any study of hash functions restricts itself to studying a very tiny subset of all possible (infinite) inputs. The security of hash functions is always studied under the assumption of arbitrary inputs.


I find kragan's comments to be creating strawman arguments. They are unnecessarily confrontational.


git commit --amend changes author time.

git commit --amend --reset-author changes both author time and commit time.

git rebase changes commit time.

All three commands can be used just before a merge and push to clean things up. So there is no guarantee that the author time or commit time we see in the final commit history accurately represents the actual time at which the work was done.


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