Spicy Questions on Particle Physics

In summary: Quantum forum.In other words, the _direction_ of the particle would be totally unknown but the magitude of velocity in any given dimension would never be more than 'c'.Not even salty.
  • #1
Tachyonie
83
0
Couple of spicy questions:

1. If we new particles position to 99.9999...% or 100%, could the particle move at any speed including speed of light or even faster?

2. If a particle would have probability cloud 1 light year wide and we measured and found a particle at one end and few seconds later on the other end, and again found the particle, does is mean that the particle traveled faster than light or not?

Tachyon.
 
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  • #2
Not even salty.
1) NO; Plus knowledge of the particle momentum would be reasonably uncertain.

2) If you did measure such a particle to know where was within that cloud. And assuming it could re-establish such a wide probability cloud again and be available to be uniquely measured and indentified again as the same particle. It would take about a light year to reestablish such a large probability cloud.

More of a Quantum issue than Relativity.
 
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  • #3
RandallB said:
More of a Quantum issue than Relativity.

Thats funny, because I posted this into QM forum and someone moved it into this forum. :)

Thanks for the answers though!

Tachyon.
 
  • #4
Tachyonie said:
1. If we new particles position to 99.9999...% or 100%, could the particle move at any speed including speed of light or even faster?
If I understand your question correctly your are wondering if you knew the position of a particle exactly (a Delta function) then, by Heisenberg's uncertainty principle you would have no knowledge of its momentum (a constant), and therefore you could have any velocity including superluminal velocities. Is that correct?

If so, then you should recall that, while the four-momentum of a particle is unbounded the speed is not. As a massive particle gets asymptotically closer to a speed of c the components of its four-momentum increase without bound.
 
  • #5
In other words, the _direction_ of the particle would be totally unknown but the magitude of velocity in any given dimension would never be more than 'c'.

[Edit]
Additionally, knowing the position of a particle with more or less certainty doesn't change the magnitude of its speed at all - only its direction. That's why we can say that a photon is always traveling at 'c' irrespective of what else we know about it. When we talk about uncertainty in momentum of a photon, we're talking about the direction of travel, not uncertainty in the magnitude of velocity.

And yeah, this should be in the Quantum forum.
 
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  • #6
peter0302 said:
In other words, the _direction_ of the particle would be totally unknown but the magitude of velocity in any given dimension would never be more than 'c'.

[Edit]
Additionally, knowing the position of a particle with more or less certainty doesn't change the magnitude of its speed at all - only its direction. That's why we can say that a photon is always traveling at 'c' irrespective of what else we know about it. When we talk about uncertainty in momentum of a photon, we're talking about the direction of travel, not uncertainty in the magnitude of velocity.

And yeah, this should be in the Quantum forum.

*uncertainty principle is the statement that locating a particle in a small region of space makes the momentum of the particle uncertain*

I am confused, what does direction have anything to do with its momentum? Isnt momentum the speed at which the particle is going? If the particle goes north or south doesn't change anything or does it?

And again, its not me who moved this thread here :)

Tachyon.
 
  • #7
Momentum has direction.

It's equal to mass (a scalar) times velocity (a vector), so momentum is in the direction of velocity for positive mass.
 
  • #8
Right, and the uncertainty relation is talking about position in a certain dimension, and momentum in that _same_ dimension. So if you know a particle's position to within delta_x meters, and you define "x" to be a certain dimension, then the HUP tells you the uncertainty in momentum in that direction. The bottom line is that the more you know where a particle is, the less you know where it's going to be next. But it still has to obey the speed limit and conservation of energy. You can't use the HUP to make particles defy the laws of physics.

You also have to remember that relativistic momentum is governed by gamma*m*v, where gamma is the Lorentz factor used in special relativity. So simply having a very very large momentum does not mean speed is ever faster than light.
 
  • #9
You can't use the HUP to make particles defy the laws of physics.

But what about the energy time uncertainty relation?Doesn't it violate the conservation of energy principle albeit for infintesimal time intervals?
 
  • #10
QuantumGenie said:
You can't use the HUP to make particles defy the laws of physics.

But what about the energy time uncertainty relation?Doesn't it violate the conservation of energy principle albeit for infintesimal time intervals?

yes, but that is ok, since the energy is given back again.

And QuantumGenie's responce reagarging QM can't defy 'laws' of physics is a tautology I would say :P
 
  • #11
Tachyonie said:
Couple of spicy questions:

1. If we new particles position to 99.9999...% or 100%, could the particle move at any speed including speed of light or even faster?

2. If a particle would have probability cloud 1 light year wide and we measured and found a particle at one end and few seconds later on the other end, and again found the particle, does is mean that the particle traveled faster than light or not?

Tachyon.


Answ 1: I would not think so, as HUB would prove you wrong.

Answ 2: Quantum teleportation would be the issue here, one particle would have the states of three (as depicted in your points of facts), these particles may pop in and out of existence at random.

Sources: See chaos theory.
 

1. What is particle physics?

Particle physics is a branch of physics that studies the subatomic particles and their interactions. It aims to understand the fundamental building blocks of matter and the forces that govern them.

2. What are the main particles studied in particle physics?

The main particles studied in particle physics are quarks, leptons, and bosons. Quarks and leptons are the building blocks of matter, while bosons are the force-carrying particles.

3. How are particles accelerated in particle physics experiments?

Particles are accelerated using large machines called particle accelerators. These machines use electromagnetic fields to accelerate particles to high speeds and energies.

4. What is the Standard Model in particle physics?

The Standard Model is a theory that describes the fundamental particles and their interactions. It is currently the best explanation for the behavior of particles at the subatomic level.

5. What is the significance of particle physics in our daily lives?

Particle physics has many practical applications, such as in medical imaging and cancer treatment. It also helps us understand the origins of our universe and the fundamental laws that govern it.

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