What can the rest frame of a neutrino possibly mean?

In summary, the conversation discusses the challenges of understanding the rest frame and velocity of quantum entities such as neutrinos and mesons. These entities do not follow classical trajectories and thus the concept of velocity becomes fuzzy. However, the extreme dilation of the half-life of the muon is evidence for Special Relativity, as observed from different frames of reference.
  • #1
Mosis
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this thought was inspired by the recent news about FTL neutrinos. of course i suspect their instruments are broken and that no such thing happened, but regardless, the question stands:

it's easy to talk about the rest frame of classical objects where the notion of "trajectory" applies and velocity has an unambiguous meaning. but neutrinos and mesons are not little tennis balls zipping about. how does one make sense of boosting into the rest frame of a neutrino, when the "momentum" of such entities is defined by pointwise measurements and not a time derivative of a trajectory? or how does one make sense of the proper time of a meson, and their longer-than-expected observed lifetimes as evidence for relativistic time dilation? a meson is a quantum entity, not a ball! it does not follow a classical trajectory whose time derivative yields its momentum, and hence cannot be interpreted as "moving with velocity v" wrt an earthbound laboratory. i can't see how the relativistic notion of velocity and boosting into a rest frame can possibly apply to a meson, or neutrino, or any atomic entity.
 
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  • #2
The concept of trajectory becomes fuzzy, but nevertheless valid to some extent. An analogy would be a trajectory of a short pulse of light in space, or of a ripple in a lake.
 
  • #3
Don't you understand how the extreme dilation of the half-life of the muon was one of the first tests of Special Relativity? From the ground Frame of Reference, the muon's half-life is much longer, allowing them to survive all the way to the ground. From the rest Frame of a muon where its proper time is normal, the ground is much closer to it at the time of its formation so it quickly gets to the ground.
 
  • #4
Mosis said:
how does one make sense of boosting into the rest frame of a neutrino, when the "momentum" of such entities is defined by pointwise measurements and not a time derivative of a trajectory?
Regardless of whether it is a pointwise measurement or the time derivative of a trajectory there is only one frame where the momentum is 0. That frame is the rest frame.
 

FAQ: What can the rest frame of a neutrino possibly mean?

What is a rest frame?

A rest frame is a reference frame in which an object or particle is not moving, or its motion is constant. It serves as a point of reference for measuring the motion of other objects or particles. In physics, the rest frame is often referred to as the frame of reference.

How is the rest frame of a neutrino determined?

The rest frame of a neutrino is determined by analyzing its energy and momentum. Since neutrinos have a very small mass and travel at close to the speed of light, their rest frame is often considered to be a frame in which they have zero momentum.

Why is the rest frame of a neutrino important?

The rest frame of a neutrino is important because it allows us to study its properties and behavior. By understanding its rest frame, we can make predictions about how it will interact with other particles and how it will behave in different environments.

Can the rest frame of a neutrino change?

Yes, the rest frame of a neutrino can change depending on its environment and interactions with other particles. For example, if a neutrino collides with another particle, its rest frame may change as a result of the collision.

How does the rest frame of a neutrino relate to special relativity?

The concept of rest frames is an important aspect of special relativity, which describes the behavior of objects and particles moving at high speeds. The rest frame of a neutrino is used in calculations and equations involving special relativity to understand its motion and interactions with other particles.

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