I've been wondering why there is so little activity on physics stack exchange compared with math stack exchange. It occurred to me that a contribution to the difference is that we may be closing too many questions as "duplicates".
Using a liberal definition of "duplicate" means that there will be fewer questions available to answer and this reduces the likelihood that someone searching for an answer will be able to locate it.
Let us review official Stack Exchange policy on duplicates. From the blog, my emphasis:
Jeff Atwood, Nov 15, 2010 Dr. Strangedupe: Or, How I Learned to Stop Worrying And Love Duplication
One thing I want to be clear about,
though, is that duplication is not
necessarily bad. Quite the contrary —
some duplication is desirable. There’s
often benefit to having multiple
subtle variants of a question around,
as people tend to ask and search using
completely different words, and the
better our coverage, the better odds
people can find the answer they’re
looking for. And isn’t that, really,
the whole point of this exercise?
http://blog.stackoverflow.com/2010/11/dr-strangedupe-or-how-i-learned-to-stop-worrying-and-love-duplication/
Joel Spolsky, Jan 5, 2011, The Wikipedia of Long Tail Programming Questions
If you’re going to close a user’s
question as a duplicate, it has to be
a real duplicate. For example, if a
user asks, “What does the IP address
128.0.1.1/24 mean?” it’s OK to close that as a duplicate of a more general
question like “What do IP addresses of
the form a.b.c.d/e mean?” But it’s not
OK to close it as a duplicate of a
twenty-seven page guide to netmasks.
That’s the moral equivalent of saying
“RTFM.” Stack Overflow is not
meant to be a library of reference
manuals. It’s supposed to contain the
same information as a library of
reference manuals, in the form of
millions of questions and answers.
Combined with Google, that gives us
the magical power of a library of
reference manuals you never have to
read! It’s like, you got to the
library, and there’s a wizard there at
the door, and you ask your question,
and, instead of being told to read a
book, you just got (are you sitting
down?) the actual answer!
That’s why we actually don’t mind
having several versions of every
question, where there are
variations in wording or
circumstances. The more chance that
someone types a question into Google
and finds their exact question already
answered, the better a job we’ve done.
http://blog.stackoverflow.com/2011/01/the-wikipedia-of-long-tail-programming-questions/
Now that we've reviewed official SE policy on duplicate, let's take a look at a question I posted that, as I write, has 3 votes to close based on "duplicate":
Here's the question:
Does throwing a watch into the air cause it to gain or lose time?
Suppose I'm on a non rotating planet.
I have two identical, perfect watches.
I synchronize them. Then I throw one
of them into the air and catch it.
Does the one I throw into the air gain
or lose time with respect to the one I
was holding?
And here's the question proposed as its duplicate:
Maximum time difference between clocks in a gravity field
You blast off in a rocket which has a clock on board, and there's a
clock on the ground. The idea is that
you have to be back when the clock on
the ground says one hour has passed.
Now you want it so that when you come
back, your clock is as far ahead as
possible. According to Einstein, if
you go very high, your clock will go
faster, because the higher something
is in a gravitational field, the
faster its clock goes. But if you try
to go too high, since you've only got
an hour, you have to go so fast to get
there that the speed slows your clock
down. So you can't go too high. The
question is, exactly what program of
speed and height should you make so
that you get the maximum time on your
clock?
This assistant of Einstein worked on
it for quite a bit before he realized
that the answer is the real motion of
matter. If you shoot something up in a
normal way, so that the time it takes
the shell to go up and come down is an
hour, that's the correct motion. It's
the fundamental principle of
Einstein's gravity--that is, what's
called the "proper time" is at a
maximum for the actual curve.
The two questions are similar in that they begin on a planet and involve a time piece. But in the first posted the question is "exactly what program of speed and height should you make so that you get the maximum time on your clock?" In the other, the question is: "Does the one I throw into the air gain or lose time with respect to the one I was holding?"
I submit that (under the policy of Stack Exchange) it should be clear and obvious to all that these are not the same question. The first has to do with maximizing a time difference over a path that is not a geodesic (i.e. the rocket ship) as compared to a path that is on a planet's surface (and hence is not a geodesic). The second has to do with the relationship between two paths, one stationary on the planet's surface, the other a geodesic near the planet's surface.
First, it's unfair to expect that a reader not already possessing an understanding of general relativity will see any relationship between these problems. Second, it's unlikely that they will locate the original post in searching for the problem. Third, it's unlikely that they will be able to work out the answer to the problem based on the answers given in the original post.
Finally, I'd like to point out that voting to close a question as duplicate has a tendency to suppress answers to the question. Why bother to write up an answer to a question that is going to be closed as a duplicate? For the question at hand, neither of the two answers give directly tell which watch gains and loses time. The best answer so far provided is: "The "stationary" watch, which is actually accelerated, is following some other path and so must experience a shorter proper time." To someone seeking to understand general relativity this will be confusing at best.