Not forever, as black holes don't last forever. They evaporate due to Hawking radiation.
Have you never seen anything about the twin paradox? Even at the most superficial level introduction of relativity, you get that time slows down when something is moving relative to the observer.
This is ridiculous. Even "at the most superficial level introduction of relativity "you should know that if a person departs earth moving at "nearly C" and comes back, far less time will have past for them than someone who stayed on Earth the whole time.
From the perspective of the people on the ship, the journey is no longer a distance of 4.3 light years. If the spaceship is going 90% of c relative to Earth, then in the spaceship's frame it will take them 2.08 years to make that trip, and also in their frame they will observe it takes light 1.87 years to go from Earth to Alpha-Centari.
First off, apart from trying to add confusion, why did you change the velocity from the one I gave? Secondly, from a trip travel time perspective, it doesn't matter whether you view it as time dilation or length contraction. The trip at 0.999c takes 70 days from the perspective of the crew. That's the beginning and end of it right there. From their perspective, it's as if they got there moving far faster than the speed of light, as if there were no limits on how fast they could keep accelerating. With an infinite supply of energy, they could travel the 4,3 light years in what they perceive to be 7 days, 7 hours, 7 minutes, or 7 seconds (let's ignore G-forces here, or how to have such vast quantities of energy at their disposal). The crew of a spacecraft experiences no "upper limit" to how fast the universe will allow them to traverse a distance.
What are you talking about? I just did "echo 1,2 > test.csv" then opened test.csv in OpenOffice Calc, then saved it as test2.csv from the save dialog. No complaints. Then I clicked to close it. No complaints about unsaved changes. Did you actually try that out before you commented? I don't have any of the other programs you mention on this computer, so I'll pick another - let's try OpenOffice Writer. Made a text file, opened it, saved it as a
I'm sorry, but GIMP's change is totally broken behavior. The most common workflow for GIMP (as you can see from all of the rage on the forums when these changes occurred) is not long complex workflows, but simple changes to jpegs or pngs. Open, change it, save it, close it. What sort of moron do you take people for to think that you have to "protect" them from choosing a format of file that doesn't save layers, and instead try to make them always save whatever they do in a format that no other programs support? As if a dialog warning them that it doesn't save layers and asking them if they want to flatten it, like Gimp used to do, isn't enough? What on earth is the point of *banning* people from typing in a file with the suffix that they want to use in the save menu, and instead making them choose an entirely different menu? Actually two different menus, depending on context, only one of which has a keyboard shortcut. It's just ridiculous. We're not preschoolers, we don't need the hand-holding.
An interesting side effect of this would be that it would actually be theoretically possible to send a probe into a black hole and get a signal back from it. If you're REALLY, REALLY, REALLY patient, that is
(more realistically, one would likely try to probe the insides by making mciro black holes inside colliders and trying to get them to consume particles before they collapse, then looking for traces of information in the aftermath of the collapse)
And from the traveler's perspective the universe is consistent and there's no information loss either. They still see an apparent horizon, a place where time appears to stop, but they never reach it, it always recedes ahead of them. To them, the area beyond that apparent horizon is also not part of spacetime, but nothing ever manages to enter it so no information appears to be lost.
They of course eventually get ripped apart by tidal forces, but their information doesn't disappear into a "no-hair" singularity, it remains to be released when the black hole evaporates. As a black hole evaporates, time showing the particles falling deeper and deeper into it becomes observable to the outside world (albeit incredibly distorted and with the matter ripped to bits).
Again, that's at least my understanding of Hawking's "black holes don't actually exist" concept, and it makes logical sense to me. From the perspective of a traveler, they're just falling to their deaths in an extreme sort of collapsed star. From the perspective of an outside observer, they've fallen into a spot where a the collapsed star has ripped a hole in spacetime that won't start back up (from our perspective) until the "hole" boils off. Nothing ever lost, nothing ever undefined, always part of our universe, just effectively frozen temporarily in time. From our perspective.
That link doesn't say anything about the inevitable updates for Windows 10 being free.
In some ways, I wish Microsoft would charge for ongoing security and compatibility updates after a reasonable period, but in a transparent way.
Useful lifetimes for PCs are increasing (forced obsolescence aside) and it's not a viable business model to expect MS to sell a copy of an OS one day and then support the same OS indefinitely with no extra revenues. However, clearly a lot of people are happy with what they've got and don't feel the newer versions of the OS getting pumped out to try to increase those revenues are actually an improvement, so that model is unsatisfying for all concerned.
In contrast, charging a modest and honestly advertised fee for long term support after a reasonable initial period of free updates included in the original purchase seems like an everybody-wins proposition. Customers who want to stick with, say, Windows 7 for as long as their home computer works/it's their corporate standard/someone in IT likes it have the option to do so, without giving up on useful updates for things like security or compatibility with new hardware or networking standards. Customers who are interested in more radical change can buy newer software instead. Microsoft gets enough money to run a viable business model either way. As long as everyone knows what the deal is up-front and the update/fees are optional (so if you don't pay then you don't get the updates but you also don't get your existing software artificially nerfed) I don't see any huge downside here.
It turns out that I don't have several of those patches installed anyway. Some time ago, I switched my default policy to only applying security updates, ignoring anything else in Windows Update even if Microsoft marks it "important". They have abused that mechanism so many times now to try to install junk that is in no way necessary or in my interests that I simply don't trust them any more and only install non-security updates if I have a specific reason for doing so. So far, this has caused me zero problems (unlike a couple of "important" but non-security updates that originally motivated my change in policy).
Not only do they bundle it with adware, but they've apparently sabotaged GIMP too - for example, they apparently changed the save dialog so that you can only save XCF files and have to click through a "you have unsaved changes" warning when you export to a different format. They added an very difficult to precisely adjust sliders to things like brush size. They took out 16 bit color support. Basically, sourceforge has really totalled GIMP.
Yeah, because this is untimely, facturally inaccurate, five years old, and equivalent to a story about the sun being made of freshly chopped artichoke hearts? Meanwhile things like this and this are timely wellsprings of useful information?
And care to respond to the people mocking your "busy weekend" excuse, given that your weekend appears to be five days long and your "the main reason it's late" post which gives an entirely different reason for the delay?
No, from both perspectives it seems like the time of the other has slowed down, including Earth from the perspective of the ship.
This is not only incorrect, but impossible. If my time is speeding up and I'm looking at your watch, it's going to appear to be slowing down, and vice versa. Two parties both slowing down will appear indistinguishable from either party, rendering the concept of time dilation pointless.
The rest of what you wrote is what I wrote, just phrased differently: that from the perspective of the people on the ship, the 4,3 light year journey only takes 70 days. They are not capped in their rate of travel by some cosmic absolute "speed limit". Only to a third party to which they are moving relative will their velocity appear to be unable to reach or exceed c.
Numerous pages, including this one from NASA, say that from an outside perspective it takes an infinite length of time for an object to cross the event horizon. Here's an "Ask a Physicist" column about black holes that says that time distortion reaches infinity at the event horizon. The Wikipedia article on event horizons says the same thing.
From our perspective, nothing ever passes the event horizon and thus the information is never lost.
They sort of do, but they're so distorted from our perspective as to be unrecognizable. Matter entering a black hole appears progressively more stretched out across its event horizon and doppler shifted.
No, from an outside perspective it's never inside the event horizon. Only from the perspective of the matter entering the black hole does it cross. Saying "by then it's well within the event horizon" is simply not accurate from an outside perspective. No data collected from Earth will ever correspond to a reality in which the object has passed the event horizon.
Which is why there's no information paradox: the information is never in an unreachable state from any perspective.
Another one that I see a lot of people having trouble with: that of there being a universal speed limit. I'm surprised at how many people think this means there's a speed limit from all perspectives.
If we launch some incredible 100fold-staged antimatter spacecraft capable of reaching 0.999c toward Alpha Centauri 4,3 light years away, from the perspective of people on Earth, it'll never reach or exceed c and will take a touch over 4,3 years to get there. But from the perspective of people onboard the spacecraft, they're reaching their destination in only 70 days. From our perspective, their time slows down 22,4-fold; from theirs, Earth time has speed up. We see their velocity as capped off at c; to them, it's as if they can just keep accelerating without limit.
Now, it's not exactly like "going really fast"; everything around them seems pinched toward the forward direction and shifted to blue, like this - the same situation as where we see light emitted from particles moving at relativistic speeds relative to us (such as a black hole's event horizon) doppler shifted and distorted. If the occupants of our spacecraft go fast enough, even the cosmic microwave background will be shifted into the visible spectrum.
AFAIK: black holes are not sphere shaped, from our perspective - they're shell shaped. From our perspective as an outside observer, the singularity does not exist. From our perspective, time has slowed down on each particle moving into it from a near stop; they never actually pass the event horizon. Even the mass of the parent star that formed the black hole never reaches the event horizon as it is defined at the point in time that the star is collapsing, even though the event horizon may in time swell to a size that extends beyond where a collapsing particle was. Any light emitted from a doomed collapsing particle which manages ultimately escapes will do so on an escape trajectory that will always appear to come from outside the event horizon, no matter how much the black hole grew while it was in transit. From our external perspective, the particle never entered; the area beyond the event horizon is not part of spacetime to us. Now, as for an entity moving into the black hole, the perspective is different - the "hole" is quite well defined spacetime and they can enter just fine. But from our perspective, that entity never entered - it just slowed down to a virtual stop, stretched out across the event horizon.
Again, AFAIK, from my reading of the answer to the Hawking information paradox.
We love metrics that are continuous. We perceive the world with a Euclidean metric. And we generally don't have trouble understanding metrics distorted from the euclidean, such as the taxicab metric. Even the concept of a metric with points that bend space, simple gravitational distortion, is something we can usually grasp well after we get used to the concept. But people have trouble picturing a metric where space is warped by gravity so much that there exist regions where our euclidean mind insists must be there but actually aren't.