Can Virtual Particles Have Infinite and Negative Acceleration?

In summary, we discussed the concept of a massless particle and its limitations in terms of velocity. We also touched upon the idea of virtual particles and how they differ from real particles. Overall, it is important to remember that real particles, including photons, can only travel at the speed of light, while virtual particles can have varying properties.
  • #1
TheDarkness
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Hypothetically, a particle p of mass M is sitting at velocity v. Assuming M = 0, and the vi of p is 0 m/s, 0 seconds passes and vf 100 m/s is reached. Since time t is 0, acceleration cannot exist, as no t has passed between the vi and vf states. And, knowing that a = (vf - vi)/ Δt, a = (100 - 0)/0-0, a = 100/0. Because of the divisional zero, would not a be both equal to ∞ m/s^2 and -∞ m/s^2?
 
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  • #2
Hi TheDarkness, welcome to PF

The only speed that a massless particle can travel at is c.
 
  • #3
DaleSpam said:
Hi TheDarkness, welcome to PF

The only speed that a massless particle can travel at is c.
So a massless particle cannot be stationary?
 
  • #4
Correct, it can only move at c never more and never less.
 
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  • #5
DaleSpam said:
Correct, it can only move at c never more and never less.
Yes, but when an electron jumps to a lower shell, and emits a photon, would not the acceleration of the photon from the point of creation be infinite?
 
  • #6
TheDarkness said:
Yes, but when an electron jumps to a lower shell, and emits a photon, would not the acceleration of the photon from the point of creation be infinite?
Any real photon is on-shell, meaning that it travels at c at all times. If it traveled at less than c then it would be off shell and could not conserve both energy and momentum.
 
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  • #7
DaleSpam said:
Any real photon is on-shell, meaning that it travels at c at all times. If it traveled at less than c then it would be off shell and could not conserve both energy and momentum.
I see. Thank you.
 
  • #8
DaleSpam said:
Any real photon is on-shell, meaning that it travels at c at all times. If it traveled at less than c then it would be off shell and could not conserve both energy and momentum.
What of virtual particles?
 
  • #9
TheDarkness said:
What of virtual particles?
Virtual particles are off shell, by definition, so all bets are off. Virtual photons can have mass, travel at speeds other than c, and so forth.
 

1. What is spontaneous velocity?

Spontaneous velocity refers to the instantaneous rate of change of the position of an object without any external force acting on it. It is also known as constant velocity or uniform motion.

2. How is spontaneous velocity calculated?

Spontaneous velocity is calculated by dividing the change in position (displacement) by the change in time. The formula for spontaneous velocity is v = Δx/Δt.

3. What does A=∞/-∞ mean in relation to spontaneous velocity?

A=∞/-∞ is a mathematical representation of infinite acceleration, which is when the velocity of an object is changing at an infinitely fast rate. This can occur at the moment an object experiences spontaneous velocity.

4. Can an object maintain a spontaneous velocity indefinitely?

No, an object cannot maintain a spontaneous velocity indefinitely. In order for an object to maintain a constant velocity, there must be no external forces acting on it. However, in the real world, external forces such as air resistance and friction will eventually cause the object to slow down and come to a stop.

5. How does spontaneous velocity differ from constant velocity?

Spontaneous velocity and constant velocity are essentially the same thing. However, spontaneous velocity is a more specific term that implies there is no external force acting on the object, while constant velocity can refer to any type of motion where the speed and direction remain constant over time.

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