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Watsisname
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25 Jan 2018 01:10

 
A-L-E-X
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26 Jan 2018 14:43

Watsisname wrote:
Symmetry about the origin (odd functions) won't work -- this will always make the integral either exactly zero, or not converge.  Every bit of area to the right of the y-axis (if not infinite) will be cancelled by an equivalent but negative area on the left side, since f(-x) = -f(x) by this symmetry.

Examples:  integral over x/(e^x^2) is zero.  Integral over x, 1/x and 1/x^3 don't converge.


So a function must be even (symmetric about y-axis), or neither even nor odd, to possibly give a finite and non-zero integral.  If even, then the area from -infinity to infinity is double the area from 0 to infinity, since f(-x) = f(x).  Examples:

Integral over cos(x) doesn't converge, since it continues to oscillate as x-->infinity.  (Area is incomputable).
1/x^2 doesn't converge because it blows up too much at origin.  (Area is infinite).
1/(e^x^2) yields the square root of pi.  (Cousin to the normal distribution.  Area is finite since it decays very fast.)
Our friend sin(1/x)/x is even and gives pi.
sin(x)/x also gives pi, but in this case it's a bit easier to visually see how since there is no nasty singularity.

For some reason, your graphs remind me of a oscillating universe :)
 
A-L-E-X
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26 Jan 2018 14:45

DoctorOfSpace wrote:
MineCrafter473, drama much?  Because the US repealed some random act regarding the internet that makes it the worst country in the entire world?  How much more of a child can you be when you consider this to be the determining factor on a country being bad?  There are far worse countries and far worse things going on in the world.




In other news The Last Jedi was not a good movie

Well to be fair countries like Denmark are rated as quite a bit better by most metrics.  The US has way too many nationalistic religious people....
 
A-L-E-X
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26 Jan 2018 14:50

Watsisname wrote:
Gnargenox wrote:
Source of the post I wonder what anti-matter's shelf life is? Does it decay at the same rate as normal matter?

Theoretically an antimatter particle should have the same decay timescale as its matter particle partner.  For example, a positron is the antiparticle of an electron, which as far as we know never decays.  In practice, its shelf life depends on the container -- on how well you can confine it and prevent it from annihilating with matter.

Gnargenox wrote:
Source of the post Is the reason the universe is asymmetrical is because it all fused into Dark Matter?

No.  The annihilation of matter and antimatter shortly after the Big Bang is responsible for releasing an enormous amount of energy in the form of photons, which made the universe radiation dominated.  If instead all the antimatter somehow converted to dark matter, then this source of energy would have been removed -- sequestered in the dark matter.  The universe would have evolved very differently.  It would have skipped the radiation-dominated phase and gone directly to matter-dominated.

We can also be very sure that matter-antimatter annihilation does not produce dark matter, at least at the energies probed in particle accelerator experiments.  If dark matter was being created, and if we are unable to detect those dark matter particles directly, then the creation of dark matter would appear as a violation of conservation laws, as the dark matter particles sneak away some of the energy and momentum from the collision.

The reason the universe has an asymmetry between matter and antimatter is thought to instead be a result of small violations of conservation laws in the generation of matter and antimatter (e.g. out of vacuum fields [pair production], or by the decay of other particles), after the Big Bang.  If there is a very slight difference in the amount of antimatter vs. matter generated, then a great deal of annihilation will still occur, but leave behind some amount of matter that we observe today.  (Or for all we know it was the antimatter that won out and we are antimatter creatures calling matter antimatter -- the physics works out the same).

Maybe some of the annihilation does generate dark matter particles.  But the standard model of particle physics makes no predictions for how that would occur, and as of yet there is no consensus model for precisely why this asymmetry should occur.  This is one of the significant unsolved problems in physics. :)

It's possible there is no assymetry at all- maybe there are equal numbers of universes and antiverses, with opposite arrows of time (one expanding while the other contracts and vice versa) and made of dimensions that are complementary to the other.
 
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27 Jan 2018 20:01

So has anyone pre-ordered the Boring Company Flamethrower yet?
"Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the road to the chemist, but that's just peanuts to space." - Douglas Adams
 
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27 Jan 2018 20:15

In other world news this morning, I knocked over a tall glass of cold coffee onto my laptop keyboard. I had time to unplug the cord but not enough time to shut down before hearing the sound a paper clip makes when you snap it in half and then the screen went black. I'm on my 16th hour of Space Engine withdrawal. Even a box of chocolates doesn't help.
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Watsisname
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27 Jan 2018 20:57

Gnargenox, this is dispatch.  Your distress call has been received and care packages are en route.
 
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midtskogen
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01 Feb 2018 13:55

This winter is the most snowy in several years in Oslo.  Between 1 and 1.5 meters of snow some places.  We get that amount of snow perhaps a couple of times per decade, but then it's usually in March and now it's only 1 February.

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NIL DIFFICILE VOLENTI
 
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01 Feb 2018 14:01

I hope those structures can take all that weight!
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midtskogen
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01 Feb 2018 14:13

I shovelled the roof of my house this evening.  My wife took this image of me leveling out the snowpile in front of the house - taken through the window of the second floor.  We had similar amounts of snow in 2011 and 2006, but that was later in the winter.

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01 Feb 2018 19:01

Whatever planet you are on midtskogen, it looks too cold for life to exist! You're a brave man, and your wife is just as too.

I was screwing around again with planet textures on a different software program until I can fix my computer tomorrow.
I can't believe how much I miss using Space Engine!

Funky Gas Giants:
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tornadotodd
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01 Feb 2018 21:29

Gnargenox wrote:
Whatever planet you are on midtskogen, it looks too cold for life to exist! You're a brave man, and your wife is just as too.

I was screwing around again with planet textures on a different software program until I can fix my computer tomorrow.
I can't believe how much I miss using Space Engine!

Funky Gas Giants:

Please keep me in mind when you post or come up with new planet textures. Especially for our solar system. Looks good.
 
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02 Feb 2018 05:59

midtskogen, ohhh wow!! that a lot of snow!
meanwhile here we may break the temperature record for february. it will be 25c next week!
"man cannot discover new oceans unless he has the courage to lose sight of the shore"
-Andre Gide
 
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midtskogen
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02 Feb 2018 14:23

Finally some good weather tonight in Oslo.  -12C, 130cm of snow and 93% Moon.  Very nice to ski away from the streetlights.

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Terran
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02 Feb 2018 15:01

A-L-E-X wrote:
Source of the post It's possible there is no assymetry at all- maybe there are equal numbers of universes and antiverses, with opposite arrows of time (one expanding while the other contracts and vice versa) and made of dimensions that are complementary to the other.

That is what I am suspecting... However I don't think you need more than just a negative direction in time. For me, treating the entire universe like a Feynman diagram would say that an antimatter universe should propagate in a negative time direction. But that does create a question, would this antiverse be apart or part of our universe? Being that does it represent a violation in energy conservation or its solution, or does it represent a non-closed energy system. It would make sense... I don't know though.

My "Theory" (Not really a theory, just an educated guess):
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To reality, through nothing, from un-everything.

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