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Saturday, August 13, 2016

How do two interfering EM waves conserve energy in all cases?

How do two interfering EM waves conserve energy in all cases?


How do two interfering EM waves conserve energy in all cases?

Posted: 13 Aug 2016 01:35 AM PDT

Intro below, question in bold at the bottom.

Hey guys! I'm a molecular electronics PhD student at Leiden university, and before that did a nanoscience MSc at Groningen university. I've asked this question to my fellow students and also some postdocs and professors. We have not yet found a satisfactory answer.

The problem is a gedankenexperiment where two laser beams or more specifically: two electromagnetic waves meet each other and interfere perfectly destructively or constructively. So we have two (for example) laser beams that cross paths. Now, each laser sends out an oscillating electromagnetic field with a certain power (say 100 watts). We set up the system in such a way that they interfere constructively completely. When the two beams cross and in, we can add the beams vectorially and end up with an EM-field with twice the amplitude. Since the energy density of an EM-field goes with the amplitude squared, we suddenly have four times the output power.

Now, I know that this cannot be. We could simply use quantum mechanics and say: well, we just have twice the amount of photons now, and photons do not interfere with each-other, only with themselves. Therefore, you just have twice the power, not four times. However, this answer sounds unsatisfactory to me. I think that the answer should be simpler and should not require quantum mechanics, or anything other than the laws of Maxwell.

Furthermore, I'm not interested in answers along the lines of: "Well, you can never make a laser like that, since the laser linewidth is never infinitely sharp". I think that the solution should not be practical one, but a principle one.

I have looked at this thread. However, the answers here are among the lines of: well, the intensity goes somewhere else. So that means that whatever interferes destructively somewhere, should interfere constructively somewhere else. This sounds like the most valid answer, but I don't see how this is a fundamental and not a practical issue.

For example: we could take a laser beam with a width of half the wavelength (I now this is not practical, but I don't see why we cannot do this fundamentally), and at 90 degrees cross another identical laser beam, so that they interfere constructively. Twice the field amplitude, four times the power. We could also interfere destructively and end up with no power.

So my question is: how do we solve this problem? And if it has to do with constructive interference in one place, destructive interference in the other, why should this not depend on the geometry if the setup, eg. the width and angle of the two beams?

submitted by /u/Blokshibe
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How do dung beetles extract nutrients from waste product?

Posted: 12 Aug 2016 07:59 PM PDT

Is there any meaning to rotation around the time axis in spacetime?

Posted: 12 Aug 2016 04:30 PM PDT

If spacetime is a four-dimensional object, and you can rotate around the three spatial axes, how would you interpret rotation around the time axis?

submitted by /u/ergotist
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Why are electric fields additive?

Posted: 13 Aug 2016 07:49 AM PDT

In undergraduate physics, you are taught that if you add the individual forces that a set of electrically charged particles put on another, that sum will be equal to the force experienced by the particle.

But let's say you have 3 particles in a line. Apparently this rule still holds. However, forces are supposed to be carried by particles in QM, the photon specifically here. If you shine a light, which is made of photons, on two inline objects, it won't hit the farther back one, because that is in shadow.

So if electric force is additive for inline particles, that makes it sound like the photons from the far left reach the particle on the far right, when the shadow example makes me think it shouldn't. How does that work?

submitted by /u/Bananawamajama
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A photons wavelegth increases because of cosmic expansion. Does the same happen to the (De Broglie) wavelegth of matter-wavefuntions? Does this mean all matter, not only photons, lose energy/momentum?

Posted: 12 Aug 2016 05:42 PM PDT

Is it feasible to completely eradicate mosquitoes without devastating the ecosystem?

Posted: 12 Aug 2016 09:22 AM PDT

Is there a research-backed process to create a healthier gut biome, particularly for achieving a healthy weight?

Posted: 12 Aug 2016 02:15 PM PDT

I've read about an individual receiving a fecal transplant and becoming obese because the donor was overweight. Given the obesity epidemic, has there been a recommended diet that helps create a gut biome that actually helps achieve a healthy weight?

submitted by /u/cisco55
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Why do the bubbles in Latte foam periodically pop in waves?

Posted: 12 Aug 2016 12:59 PM PDT

Here I am doing science at my desk and I find myself periodically distracted by the (very quiet) sound of the foam in my latte popping. Desperate for any distraction, I investigated.

Periodically (every 2-3 minutes) the popping sounds get louder for a second and then die back down. It's these periods of higher intensity that distracted me (not that it's hard to). I observed the foam for a bit and realised that the increased intensity coincided with a 'wave' of bubbles popping.

I set up a makeshift camera stand by stacking two cans of soda and recorded the effect with my phone: https://youtu.be/57ZlEtC5iAU (wave starts near the south-east of the mug, near where the white foam touches the wall of the mug).

What causes these periodic waves to occur? Intuitively I would have thought that the timing of the bubbles popping would be stochastic enough to avoid these sorts of effect, but I can see that if there are a sufficient number of 'about to pop' bubbles that a wave could be started.

Some (interesting?) observations:

  • The wave starts from the same are of the cup each time
  • The wave travels around the streak of white foam in the center, never through the white foam (as far as I can tell)
  • If I take a sip the effect is accelerated (happens only a few seconds after a sip consistently)
  • If I wiggle the mug just enough to cause small waves in the liquid but not enough to make the foam move from where it's attached to the side of the mug, the timing of the waves seems to be unaffected

Some off the cuff questions:

  • Since the wave tends to start in the same place, and in this case the wave starts near a patch of white foam, does the 'type' of foam affect the wave? It seems to since the wave goes around the white foam.
  • Do other 'foamy' systems exhibit this behaviour (beer, bubble tea, sea foam, etc.)?

Thanks for any insight :D

submitted by /u/jmct
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Why does an alternator turn slower, or resist turning more when under load?

Posted: 12 Aug 2016 01:51 PM PDT

I noticed this in my car when I would activate something that draws electricity like window motors, the engine RPMs would drop slightly until I let off the window motor button. Is this a stupid question and I'm totally wrong about what's actually happening to cause the engine RPMs to dip while there's an electrical load? Thank you for any useful input!!

submitted by /u/knivesngunz
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Why do fish when they die artificially float to the top of the water, but don't appear to in any other case?

Posted: 12 Aug 2016 11:11 AM PDT

Why does it seem like when fish die artificially (be it from the lack of oxygen due to thick ice or eutrophication, or some poisonous substances) they almost always float to the top of the water, but when they die in any other way(from old age, if that is even possible, or from disease) they don't float to the top?

submitted by /u/fjellhus
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Is listening to relaxing meditative music during study a help or a hindrance?

Posted: 12 Aug 2016 09:49 AM PDT

I've heard two schools of thought on this:

(1) It helps focus attention, bully out distracting thoughts from the mind and create a sense of relaxation to calm the anxiety of impending exams.

(2) You should study in exam conditions so that you don't need a certain external stimulus such as a chair, sound or smell to trigger off the memories in your mind.

Obviously, whatever works for the individual is best but I was wondering if there is a scientific consensus on the topic.

submitted by /u/VeterinaryStudentK9
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What are the technical differences between amylose and cellulose and can we turn one form to another?

Posted: 12 Aug 2016 02:16 PM PDT

They're both built with D-glucose units, however one is wood, and the other is bread. Why do they differ so much?

We throw away alot of paper, cardboard etc. Is there any industrial process that we could say recycle cellulose? turn it into amylose for animal feed? perhaps even decompose it into glucose for use in making bio-fuel?

submitted by /u/aortm
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How many satellites is needed for locating via GPS?

Posted: 12 Aug 2016 03:09 PM PDT

And why is more better? Is it only because of more possibilities to get right data?

submitted by /u/Dokans
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How does the pressure at the lowest point of the Mariana Trench compare to the pressure in space?

Posted: 12 Aug 2016 04:45 PM PDT

Can the barycenter of a two-body system be a Lagrange point?

Posted: 12 Aug 2016 07:26 AM PDT

First let me say that I'm a total novice, so I may be using these terms incorrectly, and I definitely have no grounding in the mathematics that describe these sorts of scenarios. Let me clarify what I mean: Barycenter: the center of mass of a system of celestial bodies, and therefore (if I'm interpreting Kepler's laws correctly) one of the foci in all elliptical orbits in the system. Lagrange Point: a gravitationally neutral point in a system that may or may not move based on the constituent orbits in the system. If these definitions are wrong, please tell me. But insofar as the underlying wrongness does not disallow my question being compatible with reality, I would love to learn more in this area.

submitted by /u/139mod70
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What are some intuitive applications of eigenvalues/eigenvectors in engineering?

Posted: 12 Aug 2016 08:34 AM PDT

I somewhat understand the concepts, but I have a hard time understanding how they are applied or what they represent in the physical world, so some examples would really help me.

submitted by /u/Rimio
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How does a neutrino detector work?

Posted: 12 Aug 2016 10:18 AM PDT

Could the "bionic leaf" technology be used to trap or convert CO2 on a large scale in a way that would help reduce (and hopefully reverse) the effects of CO2 emissions on the environment?

Posted: 12 Aug 2016 08:26 AM PDT

I just saw an article on utilizing a bionic leaf that can collect CO2 in the air to use as fuel. Could the same technology be used to trap or convert CO2 on a large scale in a way that would help reduce (and hopefully reverse) the effects of CO2 emissions on the environment?

submitted by /u/GandalfTheWhey
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How much pressure is needed to compress water?

Posted: 12 Aug 2016 09:10 AM PDT

Solids are compressible to the extent with enough force you could lessen the amount of space a solid occupies, is this also possible with water?

submitted by /u/shercroft
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What's something considered basic/common, that we still have little to no understanding of?

Posted: 12 Aug 2016 12:47 PM PDT

Friday, August 12, 2016

If the universe is an hypertorus, is it possible that we receive the light from a star twice ?

If the universe is an hypertorus, is it possible that we receive the light from a star twice ?


If the universe is an hypertorus, is it possible that we receive the light from a star twice ?

Posted: 12 Aug 2016 06:22 AM PDT

I recently read an article in a French science magazine stating that the universe might be an hypertorus (Euclidian, finite and borderless). They represented it using a cube in which when you exit through one side you actually come back in from the opposite one.

I made a drawing to make my question clearer : Drawing

The three panels on the left represent the universe in 2D and when you move through a side you come back through the opposite one. The star is any star and the black dot represents the Earth. The arrow is the light emited from the star.

The three right panels represent what we see from the surface of the Earth.

  • The first 2 pictures are straight-forward the star lits us directly and we see it in the sky as it was at the moment the light was emited

  • On the second line of the "comic" you can see the light traveling through the right side and coming back out of the left one and then hitting us. What we then see in the sky is a second star that appears to be way further than the first one and way older, when it is in fact the same one !

  • On the third line I was imagining a scenario where the light goes through the loop several times. We would then see the star as it was a very long time ago, or even maybe witness it's birth ?

To recap

It sounds crazy but would it be possible that we see the same star at different moments of it's life span ?

submitted by /u/Smarterthanstuff
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Could CRISPR eventually allow us to borrow genes for limb regrowth from things like lizards?

Posted: 11 Aug 2016 07:07 PM PDT

How does Newton's Law of Gravity help us predict the orbits of the planets with "great accuracy"? (Please read description.)

Posted: 12 Aug 2016 03:29 AM PDT

I'm reading A Brief History of Time by Stephen Hawking. On pg. 17, there is a paragraph that reads:

 

"Newton's law of gravity also tells us that the farther apart the bodies, the smaller the force. Newton's law of gravity says that the gravitational attraction of a star is exactly one quarter that of a similar star at half the distance. This law predicts the orbits of the earth, the moon, and the planets with great accuracy. If the law were that the gravitational attraction of a star went down faster with distance, the orbits of the planets would not be elliptical, they would spiral in to the sun. If it went down slower, the gravitational forces from the distant stars would dominate over that from the earth."

 

What does the part in bold mean exactly? (As is clear, I'm a layperson, so please keep it simple.) Thank you!

submitted by /u/InterstellarBlue
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Is there a relation between how tree branches/roots grow and how our own bodies creates its cardiovascular system?

Posted: 12 Aug 2016 05:39 AM PDT

What do we currently know about possible safety factors used for the construction of ancient structures as well as the margins for material failure ancient civilizations may have been aware of?

Posted: 11 Aug 2016 07:10 PM PDT

For example, did they have a kind of crude knowledge of Poisson's ratio or Hooke's Law even without calculus? Was it literally just trial and error? It seems plausible that they would have had some knowledge of material science since civil engineering is the oldest form of engineering in the world.

submitted by /u/SomewhatRandom108
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Does the sun experience tides?

Posted: 11 Aug 2016 06:32 PM PDT

Does the sun experience forces of gravity from its orbiting planets significant enough to have measurable or theoretical fluctuations in matter height? If so, is there an accepted value for tidal height?

submitted by /u/JoeRmusiceater
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Why a spacecraft reentry has to be so violent? Why don't they make reentries at slower speeds to avoid all the heating up and stuff?

Posted: 11 Aug 2016 10:26 PM PDT

What is the current State of the art in human imaging

Posted: 11 Aug 2016 07:58 PM PDT

I was wondering what imaging techniques (or combination of imaging techniques) are currently pushing the envelope when it comes to imaging the human body in vivo with high resolution and signal sensitivity.

submitted by /u/alphaMHC
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How much worse could The Chernobyl Disaster have been?

Posted: 11 Aug 2016 02:19 PM PDT

What is the observed frequency-size distribution of Bolide impacts, and can this be extrapolated to predict the frequency of Tunguska-like events?

Posted: 11 Aug 2016 06:19 PM PDT

Maybe bolide isn't the right word.

submitted by /u/iorgfeflkd
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Why are patients with concussions told not to sleep, or not to sleep for long periods?

Posted: 11 Aug 2016 11:50 AM PDT

Are there any formulas for predicting properties of alloys?

Posted: 11 Aug 2016 06:55 PM PDT

How is a bank account pincode not easily hackable when the small authenticator we use for online payments can verify my pincode without needing any sort of connection to a server or other online service?

Posted: 11 Aug 2016 12:34 PM PDT

I tried finding out via Google but didn't find a good way to describe the question to receive good results. The authenticator we use can recognize the pincode of any bank account of the bank in question that produced the authenticator. It doesn't seem like a sophisticated piece of hardware (being small, light and handed out for free by banks). How can it do this without the data inside being easily hackable?

submitted by /u/Jeissenberg
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Why does it take so long for radioactive material to decay?

Posted: 11 Aug 2016 01:30 PM PDT

To what extent do molecules of similar shape share the same properties?

Posted: 11 Aug 2016 02:44 PM PDT

I was watching a documentary on drugs and they states that Adderall and methamphetamines share similar properties due to their similar molecular shape. However, in my organic chemistry class, I learned that adding a lone functional group to a molecule can alter its function entirely. Thus, to what extent do molecules of similar shape share the same properties?

submitted by /u/Jellio
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With scientists recently discovering the 400yr lifespan of the modern Greenland shark, are there any new insights into its prehistoric counterparts?

Posted: 11 Aug 2016 08:34 PM PDT

Article

After googling & wikiing past the article a little bit, it appears there's been some speculation over time as to whether or not very large prehistoric animals relied on some kind of warm-blooded adaptation. Does the new discovery of the persistence of the Greenland shark offer any new or interesting biological comparisons to its great ancestors? It sounds like the concept of "the lifespan of dinosaurs" is still speculative in general. So a better question may be whether the Greenland shark (tissue?) can provide any insights into the mechanics of metabolism in general.

Thank you!

submitted by /u/saucedog
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How do peas know where to climb?

Posted: 12 Aug 2016 12:19 AM PDT

[neuroscience] What is the brain doing when a person is in a coma?

Posted: 11 Aug 2016 10:22 AM PDT

Electrically to be specific

submitted by /u/ToThyneOwnSelfBeTrue
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Can a meteorite be struck by lightening?

Posted: 11 Aug 2016 06:02 PM PDT

What would the factors be?

submitted by /u/graceful_fox
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Will there ever be a cure for Alzheimer's? If so, how long away is it?

Posted: 11 Aug 2016 07:59 PM PDT

Obviously no one knows, but what is the general consensus among the medical community?

I'm an 18 yr old with a family history of Dementia/Alzheimer's, and I'm curious if we're likely to make any big strides towards better treatment before my possible onset.

submitted by /u/TurquoiseCorner
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Thursday, August 11, 2016

Discussion: Veritasium's newest YouTube video on the reproducibility crisis!

Discussion: Veritasium's newest YouTube video on the reproducibility crisis!


Discussion: Veritasium's newest YouTube video on the reproducibility crisis!

Posted: 11 Aug 2016 07:01 AM PDT

Hi everyone! Our first askscience video discussion was a huge hit, so we're doing it again! Today's topic is Veritasium's video on reproducibility, p-hacking, and false positives. Our panelists will be around throughout the day to answer your questions! In addition, the video's creator, Derek (/u/veritasium) will be around if you have any specific questions for him.

submitted by /u/AskScienceModerator
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The cosmic microwave background radiation is radiation that has been stretched out into the microwave band (It went from high frequency to low). Does that mean it has lost energy just by traveling through expanding space?

Posted: 11 Aug 2016 06:16 AM PDT

That is my understanding of the CMB. That in the early universe it was actually much more energetic and closer to gamma rays. It traveled unobstructed until it hit our detectors as microwaves. So it lost energy just by traveling through space? What did it lose energy to?

submitted by /u/iamanomynous
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What led Socotra Island to having such unique flora when it is less isolated than, say, Easter Island or St. Helena?

Posted: 11 Aug 2016 04:54 AM PDT

Why did the Olympic pool go green and why was it so quick?

Posted: 11 Aug 2016 01:08 AM PDT

http://m.bbc.co.uk/sport/olympics/37029833

That article mentions Alkaline. How does that affect the colour? And would it really be safe?

submitted by /u/MrSonyCity
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Why do ants "collect" the dead bodies of their fallen comrades? What are they doing with them?

Posted: 10 Aug 2016 01:08 PM PDT

Are there more neurons in the CNS or the PNS?

Posted: 11 Aug 2016 06:17 AM PDT

What is meant by the following statement which appeared in a physics article yesterday regarding the diphoton hangover? "The absence of new particles almost certainly means that the laws of physics are not natural in the way physicists long assumed they are." [link in comments]

Posted: 10 Aug 2016 11:03 AM PDT

I have an engineering degree level of physics understanding and am not religious so there is no need to address concerns regarding physics possibly being "unnatural".

https://www.quantamagazine.org/20160809-what-no-new-particles-means-for-physics/

submitted by /u/star_boy2005
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Could we use CRISPR to create a more efficient CRISPR?

Posted: 10 Aug 2016 03:38 PM PDT

I was watching this video on CRISPR and my mind wandered to computer language compiler, where the first compilers may be ineffecient, but eventually they get better.

Could we enhance our own genes to make this system more efficient, or at least with more "features"?

submitted by /u/TheSageMage
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Why, in terms of an energy transfer, forces, and molecular structure, do brittle objects shatter?

Posted: 10 Aug 2016 07:02 PM PDT

Say I dropped a glass on the ground and it broke. Did it break because its own weight exceeded the ultimate compressive force of the glass? Is it because the equal and opposite force from the ground to the glass as it hit would somehow rupture the bonds between the atoms of the glass, thus ruining the structural integrity? Something else?

submitted by /u/Peepnbrick
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Expansion of the subreddit rules on AMA's

Posted: 10 Aug 2016 02:15 PM PDT

Hello all! We are expanding our rules to better encompass AMAs. Our AMAs are something we've been growing over the last few months and expect to keep growing in coming months and years. We want to make sure we have guidelines set out for those specific posts, and have updated the rules to include AMAs.

Here are the updated rules list for the subreddit

If you have any questions please feel free to ask them here.

submitted by /u/MockDeath
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What was the average temperature on Earth during the Cretaceous Period?

Posted: 10 Aug 2016 09:22 PM PDT

Or any of the dinasour ages for that matter

submitted by /u/akronik
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What is the difference between Embryonic and Fetal stem cells?

Posted: 10 Aug 2016 03:19 PM PDT

In addition, how are they both extracted/obtained for research

Background: I'm a student and am working on a project about the ethics of Stem Cell research. I'm trying to get a half decent understanding before I have to write my paper :)

submitted by /u/EdNeagu
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How much would life on Earth change if the Earth's axis was tilted at 24 degrees?

Posted: 10 Aug 2016 10:59 AM PDT

Unsure if this is repost, but I woke up this morning thinking about this.

I've read articles and watched documentaries about how drastic of a change Earth would experience if it was x feet closer/farther away from the sun, or if it spun x miles faster/slower.

Would there also be a drastic change to life on Earth if it were tilted .5 Degrees more?

submitted by /u/maxxxl
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Are there any Miller-Urey-type experiments that are currently running continuously?

Posted: 10 Aug 2016 01:51 PM PDT

Hello, I have always been fascinated by experiments simulating the early times on Earth trying to answer the question of how life first arose. I was wondering if any of you know about Miller-Urey-type experiments that focus on running the experiment continuously and analysing the chemical composition at time intervals trying to create some primordial-like soup by performing a longer (in relation to time) experiment?

submitted by /u/Camium
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When a bird returns to its nest and see that either the nest itself or the egg is missing how does it react? Does it realize that it may have been eaten?

Posted: 10 Aug 2016 12:48 PM PDT

I know some birds are surprisingly smart so I just wanted to know how they handle that situation.

submitted by /u/ImaGaySeaOtter
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Why is the domain to f(x) = x^x only positive numbers?

Posted: 10 Aug 2016 11:34 PM PDT

When I ask Wolfram Alpha what the domain of f(x) = xx is, it tells me that it's only positive numbers. This seems odd, though, since the function is defined for some negative numbers (e.g. [-2]-2 = 1/4).

Does a function's domain generally exclude numbers for which it's define? Is WA right about this, and if so why?

submitted by /u/kabukistar
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Is there any actual scientific evidence for such a thing as severe pornographic addiction?

Posted: 10 Aug 2016 09:23 AM PDT

I was curious about how the brain reacts to pornography and If it behaves similarly to other addictions.

When I tried looking up the subject matter a lot of christian help websites came up in the search list. I'm not looking for a religious answer, all I want to know is if pornographic addiction is an actual thing and, if so, how the brain reacts on and off of porn.

submitted by /u/genebit
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Are non-commuting variables always Fourier transform duals?

Posted: 10 Aug 2016 03:26 PM PDT

The intuitive explanation of the Uncertainty Principle usually involves thinking about a wave packet in both position and frequency space. This makes sense for position/momentum, but it's hard to visualize for something like orthogonal projections of intrinsic spin. Can the latter be represented as Fourier conjugates, or is the Fourier interpretation of the commutation relation peculiar to position/momentum?

submitted by /u/eldy50
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Where are asteroids and comets coming from? And where are they going?

Posted: 10 Aug 2016 07:03 PM PDT

To what extent do classical physics and quantum physics combine/cross? How often are theoretical concepts used as the bases for explaining phenomena of classical physics?

Posted: 10 Aug 2016 08:30 PM PDT

Despite quantum physics still being a theoretical branch, many of us speak as if characteristics/theories of quantum physics are laws that can be used to explain phenomena of classical physics. To what extent do we use theories of quantum physics as bases for explaining classical physics?

submitted by /u/ganonb
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Does time dilation affect the propagation of gravity waves?

Posted: 10 Aug 2016 12:20 PM PDT

I understand that gravity waves propagate at the speed of light, and I understand that extreme gravity, like a black hole's erogosphere, can bend spacetime faster than the speed of light. Are gravity waves affected by time dilation since it is itself a form of gravity? Could an extremely strong gravity wave affect itself?

submitted by /u/rosalinekarr
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Are certain bases easier to find prime numbers?

Posted: 10 Aug 2016 07:52 PM PDT

I did a quick search, but most of the inquiries were about whether a prime remains prime whether the base changes (spoiler - it does). I saw something strange that indicated that primes represented in base 10 have a higher probability of ending with certain digits. I guess this doesn't do much because now instead of guessing primes you guess bases that have better prime patterns and then you still have to guess at primes, but it also leads to the question of is there a certain base we are better at finding prime numbers with? I guess base 2 makes sense given it's native to numerical computation (transistors being on or off). But maybe outside of pure numerics there's some magic prime base that works best?

submitted by /u/physnchips
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