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Posted: 12/25/2022 11:46:22 PM EDT
Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind.
Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? |
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Quoted: Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind. Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote You are confusing two issues. One is an asymptote. A mathematical issue. They are approaching for infinity but never touch. (Because the rate of closure is changing for infinity) The other is rate of closure. Rate of closure will dictate when they touch. They are moving at each other at a constant speed. |
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Whatever amount of time it took for them to go from 2m apart to 1m apart is the same amount of time it will take for them to go from 1m to contact. Quite as simple as that. Not sure why you want to keep slicing it into infinitely small amounts.
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Nothing ever contacts anything else. It's all make-believe electrons repulsing each other and the stuff you think is really the thing that the electrons surround isn't real either.
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As they get nearer, they will accelerate toward each other too, due to gravity and van der waals force.
Look up Zeno’s paradox. |
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Quoted: Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind. Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote |
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Numbers being infinitely divisible by half has no bearing on the closing velocity (distance/time) of the spheres.
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Quoted: You are confusing two issues. One is an asymptote. A mathematical issue. They are approaching for infinity but never touch. (Because the rate of closure is changing for infinity) The other is rate of closure. Rate of closure will dictate when they touch. They are moving at each other at a constant speed. View Quote I knew that and went to community college. Lol |
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Well, nothing is actually "touching". The fields of each atom interact with other atom fields, but the atoms never touch. Everything that is so called solid, is not.
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Quoted: Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind. Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote So......... do the spheres each have their own treadmill ?? . |
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Quoted: How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote Not necessarily infinitely divisible. Planck Length is the limit to how small you can go. Can Space Be Infinitely Divided? |
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These kinds of stupid questions are the result of pot. Fucking pot heads.
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If they're approaching each other at, say, one m/s, then the distance between them is one meter less, every second. Eventually they contact each other.
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There are hundreds of videos of cats that can explain it to you. That cat sees an object on a counter. The cat pushes the object off the counter. The cat watches the object fall and hit the floor. The cat repeats the experiment. The cats have never found an object that didn't fall until it came in contact with a body below it.
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An object in motion stays in motion until acted upon by an equal and opposite force. For example, colliding with another object.
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I have a more interesting question.. what would occur differently in a nuclear reaction in which the fusing elements interact with eachother without any neutron reflectors and all that contraption shit they need to make it happen on earth, but outside of a star? Would one even occur? Is such a thing even possible?
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Ahh yes, Newton's 87th law. "Just keep arbitrarily halving the distance, cause that makes sense."
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Quoted: I have a more interesting question.. what would occur differently in a nuclear reaction in which the fusing elements interact with eachother without any neutron reflectors and all that contraption shit they need to make it happen on earth, but outside of a star? Would one even occur? Is such a thing even possible? View Quote You're asking how can fusion occur other than in a star or a man-made reactor? It can't. You need tremendous force to smash two hydrogen atoms together. The force has to come from somewhere, either the incredible gravitational force and pressure at the core of a star, or from our machines that try and smash them together using lasers, particle accelerators, etc. . |
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Quoted: Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind. Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote This prevented them from making the logical leap that the distance between the two objects will approach... and become zero. Which means they will touch. Zero is necessary for modern mathematics like calculus. And it is in turn responsible for most modern technology. On a related note... Nothing in everyday life actually touches anything else. Thing's (atoms and molecules that make up objects) only get close enough to interact via their forces such as their electric field from their charge. It take's a lot of effort to make things touch... Like the massive gravitational force of the sun forcing atoms of Hydrogen together so they fuse... becoming Helium and releasing a large amount of the excess mass as energy... |
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Unless you want a noo-clar explosion OP, don't try it at home. Mmmmkay?
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"The good Christian should beware of mathematicians, and all those who make empty prophecies. The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell"
- St. Augustine |
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Yes, the space between them is infinitely divisible at any moment, but the total distance is finite and decreasing. Keep subtracting from a finite quantity and you eventually get to zero.
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Quoted: "The good Christian should beware of mathematicians, and all those who make empty prophecies. The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell" - St. Augustine View Quote Ah, behold the coming of the Dark Ages. . |
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Life Doesn't Make Sense! | Pete Holmes: Dirty Clean | HBO |
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Quoted: Well, nothing is actually "touching". The fields of each atom interact with other atom fields, but the atoms never touch. Everything that is so called solid, is not. View Quote pauli exclusion principle? |
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View Quote I don't know about that. I will add, sometimes they do touch in a supercollider. Or a neutron can touch and split atoms to smaller atoms. |
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" when the distance between them can be infinitely divided in half in ever smaller amounts?" Ha, ha, ha.
There is no limitation there to stop two objects from touching. Just means someone doing the math problem will make it harder and harder for themselves to calculate the position of the object in anyway that has anything to do with being productive. Stop dividing the distance in half, there is no point to it. It's like dig a hole but each time you did a shovel full of dirt switch to a shovel half as big. Good luck getting anything done that way. |
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They will collide because your construct of “dividing the distance between them in half“ is false.
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It is like a button that turns on a light. If you are always dividing the distance between on and off you will infinitely calculate a position in which contact is never made, but the button doesn't give a crap and can be pushed past this point
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Under normal conditions, they will never touch. Its simple atomic chemistry.
On the other hand, in an artificial atom smasher such as the The Large Hadron Collider, they may actually touch but they are colliding at almost the speed of light. Need that physics PhD to explain. |
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Quoted: As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? View Quote Because the distance between them is not dividing in half, it's reducing at a linear rate. You're setting it up like: 1, 1/2, 1/4, 1/8, 1/16 etc which is a deceleration. Your rate is cutting in half as the distance is cutting in half. What force is causing them to slow down their rate of closing? These two spheres on a collision course in space would continue closing at a constant rate like: 1, 3/4, 1/2, 1/4, 0. |
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Quoted: Say you have two objects in space, let's say perfect glass spheres with no surface irregularities down to the atomic level. They are both perfectly uniform spheres with no microscopic protrusions of any kind. Now let's say they are moving together. At some point, they will touch. Or will they? As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. How is it possible for two objects to ever contact each other, when the distance between them can be infinitely divided in half in ever smaller amounts? Obviously it's possible because objects come into contact all the time. You can clap your hands and see, feel and hear the results. But if distance is infinitely divisible, how can it ever equal zero so that contact can occur? View Quote The balls can't touch because that would be gay. |
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The inherent gravitational attraction of all objects with mass will eventually result in them touching and likely rebounding, then touching again.
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As they move closer together, the distance between them gets smaller and smaller. They are a meter apart, a half meter apart, a half of a half meter apart, a half of a half of a half meter apart. View Quote |
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When a tree falls in the forest does it make a sound?
Dan Hill - Sometimes When We Touch (1977) |
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Quoted: You are confusing two issues. One is an asymptote. A mathematical issue. They are approaching for infinity but never touch. (Because the rate of closure is changing for infinity) The other is rate of closure. Rate of closure will dictate when they touch. They are moving at each other at a constant speed. View Quote |
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