What is anti-light-speed?
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Hi Chris, Since speed is distance over time, shouldn't the lowest speed be the Planck length over the Planck time? Ivor S. Sargoytchev Dundas Software -- modified at 16:27 Saturday 24th June, 2006
No - it doesn't work like that :) Heisenberg's principle (in part) means dx.dp >= h_bar/2, where dx is uncertainty in position and dp is uncertainty in momentum. If we assume a unit mass then we have dx.dv >=h_bar/2. => dv >= h_bar/(2.dx) (h_bar = planck's constant / pi) So the bigger your uncertainty in exactly where you are, the less your uncertainty about your velocity. So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it. cheers, Chris Maunder
CodeProject.com : C++ MVP
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As we know, light speed is the fastest speed we know. But I have a question. What is the most slowly speed we know?
ensger wrote:
What is the most slowly speed we know?
the hour and a half after lunch Cleek | Image Toolkits | Thumbnail maker
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Albert Einstein had a thought that if you traveled backwards away from a clock faster then light speed you would actually be going back in time as the clock would turn backwards. The same thing is applied to if you see farther into the universe you are actually seeing further back in time as light takes time to travel. So if you equate going back in time to going a negitive velocity in terms of space time, then actually going a faster speed then the speed of light would be slowest. E=mc2 -> BOOM
Albert Einstein. wrote:
if you traveled backwards away from a clock faster then light speed
Well that's the trick, isn't it? All sorts of fun things happen if you just go faster than the speed of light. cheers, Chris Maunder
CodeProject.com : C++ MVP
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ensger wrote:
What is the most slowly speed we know?
the hour and a half after lunch Cleek | Image Toolkits | Thumbnail maker
The food coma is a dangerous phenomenon. :) Jon Sagara When I grow up, I'm changing my name to Joe Kickass! My Site | My Blog | My Articles
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Albert Einstein. wrote:
if you traveled backwards away from a clock faster then light speed
Well that's the trick, isn't it? All sorts of fun things happen if you just go faster than the speed of light. cheers, Chris Maunder
CodeProject.com : C++ MVP
Chris Maunder wrote:
All sorts of fun things happen if you just go faster than the speed of light.
Did you ever reach c and beyond on your way down the alpes...? ;)
-- 100% natural. No superstitious additives.
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Chris Maunder wrote:
All sorts of fun things happen if you just go faster than the speed of light.
Did you ever reach c and beyond on your way down the alpes...? ;)
-- 100% natural. No superstitious additives.
It felt like it today! We did Mont Ventoux[^] this morning and while the ascent hurt a little the descent - using the entire road since there was no traffic - was insane. I'm still trying to get the grin off my face. Galibier[^] on Monday. cheers, Chris Maunder
CodeProject.com : C++ MVP
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Graham Bradshaw wrote:
Velocity is simply speed with a direction component associated with it.
And that direction part is a vector that can have negative components. In one dimension you could have [-c]. So I'm with Chris on this one. Cheers, Drew.
Drew Stainton wrote:
In one dimension you could have [-c].
Huh? How could that be?
-- 100% natural. No superstitious additives.
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No - it doesn't work like that :) Heisenberg's principle (in part) means dx.dp >= h_bar/2, where dx is uncertainty in position and dp is uncertainty in momentum. If we assume a unit mass then we have dx.dv >=h_bar/2. => dv >= h_bar/(2.dx) (h_bar = planck's constant / pi) So the bigger your uncertainty in exactly where you are, the less your uncertainty about your velocity. So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it. cheers, Chris Maunder
CodeProject.com : C++ MVP
Chris Maunder wrote:
So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it.
Sounds like a contradiction. :~
-- 100% natural. No superstitious additives.
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ensger wrote:
What is above 0 and and slowly enough
How long is half a piece of string? ;)
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About twice the size of a quarter of string.
-- 100% natural. No superstitious additives.
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It felt like it today! We did Mont Ventoux[^] this morning and while the ascent hurt a little the descent - using the entire road since there was no traffic - was insane. I'm still trying to get the grin off my face. Galibier[^] on Monday. cheers, Chris Maunder
CodeProject.com : C++ MVP
Gradient : 7.2% average - 11% maximum Insane! :-D
-- 100% natural. No superstitious additives.
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Gradient : 7.2% average - 11% maximum Insane! :-D
-- 100% natural. No superstitious additives.
We've done a few 15% and on Tuesday we're doing a stupid 2km, 24.5%. I just look inside for my happy place and hope my knees don't explode. cheers, Chris Maunder
CodeProject.com : C++ MVP
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No - it doesn't work like that :) Heisenberg's principle (in part) means dx.dp >= h_bar/2, where dx is uncertainty in position and dp is uncertainty in momentum. If we assume a unit mass then we have dx.dv >=h_bar/2. => dv >= h_bar/(2.dx) (h_bar = planck's constant / pi) So the bigger your uncertainty in exactly where you are, the less your uncertainty about your velocity. So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it. cheers, Chris Maunder
CodeProject.com : C++ MVP
Or dx.dp >= h_bar/2 where dp ~ m.dv so you get dx.dv >= h_bar/(2m) so the more massive a particle is the less uncertainty in the product of velocity and position. (I'm ignoring the uncertainty in mass) So probably the slowest measured velocity is from a heavy stable nuclus cooled to ultra low temperatures in a laser trap. I know in field theory you can actually calculate the mass of a particle is there a corresponding quantity similar to Energy-time, position-momentum, mass-????.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon
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As we know, light speed is the fastest speed we know. But I have a question. What is the most slowly speed we know?
If I have to guess I'd say it would probably be a heavy nucleus trapped in a laser trap since Heisenburg's uncertainty principle relates position and momentum and momentum is mass times velocity. Which means heavy particles have a lower velocity uncertainty for a given position uncertainty. By definition every classical particle is at rest in it's own "rest frame", so 0 is a valid answer classically.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon
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Chris Maunder wrote:
So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it.
Sounds like a contradiction. :~
-- 100% natural. No superstitious additives.
Welcome to quantum mechanics ;)
--Mike-- Visual C++ MVP :cool: LINKS~! Ericahist | PimpFish | CP SearchBar v3.0 | C++ Forum FAQ VB > soccer
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It felt like it today! We did Mont Ventoux[^] this morning and while the ascent hurt a little the descent - using the entire road since there was no traffic - was insane. I'm still trying to get the grin off my face. Galibier[^] on Monday. cheers, Chris Maunder
CodeProject.com : C++ MVP
Looks beautiful. Though slightly completely insane.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon
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Chris Maunder wrote:
All sorts of fun things happen if you just go faster than the speed of light.
Did you ever reach c and beyond on your way down the alpes...? ;)
-- 100% natural. No superstitious additives.
So if you travel faster than light you are doing C++? :laugh: The tigress is here :-D
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Hi Chris, Since speed is distance over time, shouldn't the lowest speed be the Planck length over the Planck time? Ivor S. Sargoytchev Dundas Software -- modified at 16:27 Saturday 24th June, 2006
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Chris Maunder wrote:
So you can say the velocity of an object is as close to 0 as you want. You just have no idea where you left it.
Sounds like a contradiction. :~
-- 100% natural. No superstitious additives.
It's the same for any wave really. Confining a wave to a small region requires a lot of interference to cancel it out everywhere else. Then as these waves evolve, they quickly get out of phase where you forced them to cancel out. Which translates to velocity being uncertain for a measuring a specific position. The same argument applies in momentum space meaning if you know a particle is standing still, then you have no idea where it is. I don't think it reall applies to photons because the velocity momentum relationship breaks down with 0 mass. There you have a frequency momentum relationship.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon
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So if you travel faster than light you are doing C++? :laugh: The tigress is here :-D
nice one.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon
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Albert Einstein had a thought that if you traveled backwards away from a clock faster then light speed you would actually be going back in time as the clock would turn backwards. The same thing is applied to if you see farther into the universe you are actually seeing further back in time as light takes time to travel. So if you equate going back in time to going a negitive velocity in terms of space time, then actually going a faster speed then the speed of light would be slowest. E=mc2 -> BOOM
Kinda like the mathematics behind negative temperature it involves going through an infinity to get there. Wish it were that easy though.
I can imagine the sinking feeling one would have after ordering my book, only to find a laughably ridiculous theory with demented logic once the book arrives - Mark McCutcheon