Hypothetical Conundrum

Discussion in 'Physics & Math' started by Stryder, May 4, 2002.

  1. Stryder Keeper of "good" ideas. Valued Senior Member

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    <CENTER><IMG SRC="Http://213.48.24.128/images/al.gif"></CENTER>

    I've had a bit of fun with a conundrum for some time, that I thought I would share with the rest of you to get your brains cycling over something more than "Does light have mass?".

    Alice is standing in the middle of a two door room. On either side of her is a door, one is a Large door bigger than herself, and to the otherside is a small door smaller than herself.

    She knows that if she walked through the little door, should would appear through the big door bigger than herself, if she walked through the large door she would appear back in the room from the small door smaller than herself.

    If she opens either door the other door opens two because they are both one in the same door.

    Now we all know when you open a door there can be a pressure change if a window is open, in this case their is a paradox when the door (both doors) are open, I want to know if a wind blows through the doors (or a vacuum occurs) which direction would Alice be sucked?
     
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  3. DrUmbongo Registered Member

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    I'm probably very wrong, but I'm used to that.

    The way I chose to read your conundrum, seems to me to indicate that the doors are both interconnected, in some way ... If we assume they are connected, then there should logically be some form of corridor between them, assuming the air pressure in this corridor is at equal pressure with the room, then opening either door would have no other effect than to cause air to flow because of that movement, so there would be no pressure effect.

    If, however you consider that the distribution of molecules in this corridor is equal all along, then the air woudl flow from the larger door, and the smaller door (with most coming from the smaller door) as, I would think that, the size of the corridor would have to decrese gradually to fit aroudn the smaller on ... though if it doesnt then this hypothesis is invalid.

    If due to the doors apparent size differences there should be more air molecules around one opening than the other, then the air should flow from the alrger to the smaller door.

    If these door litrally just take the person to the second door with no intervening space, then I would suspect there woudl be no air movement whatsoever, as tehre would be no pressure difference.

    Go on then, tell me what i got wrong everyone ... I so hate being unsure ...

    Dr Umbongo
     
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  5. Merlijn curious cat Registered Senior Member

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    I think it depends on by what magic things entering one door are enlarged or endwarfed.

    1) IF Alice (or any other object, such as a piece ...err .. of air) is endwarfed by means of substracting mass from her / enlarged by adding mass to her,
    THEN there would be a flow of air towards the small door, which would result in an increased amount of air coming out of the large door, etc.

    2) IF (on the other hand) Alice (or any other object, such as a piece ...err .. of air) is endwarfed by means of compressing her keeping the total amount of mass constant / enlarged by decreasing her weight per cubic measure,
    THEN the air entering the large door would be compressed resulting in high pressure and with that in a flow of air from the small door toward the large door.

    Did I get that right. I'm not really in shape at the moment. But it is a very nice question!

    Please Register or Log in to view the hidden image!


    Such things make me happy.

    Maybe It would be wise for me to go to bed now.
     
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  7. Stryder Keeper of "good" ideas. Valued Senior Member

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    I should of mentioned that there isn't really a right or wrong answer. As Merlijn pointed out it could go either way.

    In truth this conundrum was created due to another subject, Quantum compression. I was using Alice as an opener to an understanding of how something an be compressed from a size to something smaller, but using a more topological method of asserting it.

    In explaining pressure, you could perceive the other side of the smaller door containing the same amount of molecules, but smaller in size and more compressed, while the reverse would be the case of the larger door. (Pretty much what Merlijn mentioned)

    Which meant if the door (doors) was opened then any pressure deviation would flow from small to large. Because the smaller version of the room wouldn't take any more pressure, but it would only leak out a little, but over time that leak would escalate in size.

    In truth this was a symbolism of something I wondered about due to FRACTALS. As the doorway becomes similar to a Blackhole... well as far as the flow rate getting to the point of not being able to go any faster through the doors.

    Perhaps Alice truly found a Wormhole rather than a Rabbit Hole.
     

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