Register to reply

The principle of inertia and hypothetical FTL particles

by lalbatros
Tags: hypothetical, inertia, particles, principle
Share this thread:
lalbatros
#1
Nov22-11, 07:56 AM
P: 1,235
Hello,

A recent paper by Cohen and Glashow argued recently that FTL neutrinos would quickly lose energy by pair creation (in vacuum).

Starting from the principle of inertia, I had a hard time trying to understand that.
According the principle of inertia, the physics should be the same in any frame of reference.
Therefore, it should not depend on the speed of the neutrinos, except for the mere coordinate transformation to/from the reference frame of a fast neutrino. So, on this basis, the fast decay would simply be the result of a slower decay in the proper frame of the neutrino converted in a faster decay in the laboratory frame. (except that the neutrino frame of reference is FTL!)

However, the decay rate calculated by Cohen and Glashow are not obvioulsy related to such a simple change of coordinate. They are not covariant, maybe only because of approximations in the derivation.

Therefore, I would like to understand if the principle of inertia could be compatible with the Cohen and Glashow scheme where physics is different for FTL particles?
What am I missing?
How should covariance be understood when there is FTL side in the story?

Thanks for teaching me a few things,

Michel
Phys.Org News Partner Science news on Phys.org
NASA team lays plans to observe new worlds
IHEP in China has ambitions for Higgs factory
Spinach could lead to alternative energy more powerful than Popeye
lalbatros
#2
Nov23-11, 12:46 AM
P: 1,235
Why did I say "principle of inertia" ?
I obviously wanted to say "principle of relativity" !
ghwellsjr
#3
Nov23-11, 12:49 AM
PF Gold
P: 4,680
Well, why don't you just edit it and fix it before it's too late?

lalbatros
#4
Nov23-11, 02:59 AM
P: 1,235
The principle of inertia and hypothetical FTL particles

It was already too late!
ghwellsjr
#5
Nov23-11, 09:12 AM
PF Gold
P: 4,680
Well then did you mean "relativity" every time you put "inertia", including in the title?
PeterDonis
#6
Nov23-11, 09:41 AM
Physics
Sci Advisor
PF Gold
P: 6,029
Quote Quote by lalbatros View Post
the physics should be the same in any frame of reference.
Therefore, it should not depend on the speed of the neutrinos, except for the mere coordinate transformation to/from the reference frame of a fast neutrino.
A particle traveling faster than light does not have a "reference frame" in this sense. It is traveling on a spacelike worldline, and the idea of "reference frame" can't be applied to this case; you can't do the kind of "coordinate transformation" you're describing. You can describe the motion of an FTL particle using any standard frame of reference, but there will be *no* such frame in which the particle is at rest.

The paper you link to is pretty short and does not give explicit derivations of most of the formulas, so I can't tell for sure, but I strongly suspect, from what it says on page 2 about general cases of superluminal propagation, that their formulas, even though they don't look manifestly covariant, are derived from covariant expressions that depend only on the assumption that the particle is FTL, i.e., that its worldline is spacelike. That characteristic is independent of the frame of reference chosen.


Register to reply

Related Discussions
Uncertainty Principle Hypothetical question Quantum Physics 19
No uncertainty principle for scalar particles? Quantum Physics 6
Uncertainity Principle , particles and antiparticles Quantum Physics 6
Elementary particles and fermat's principle Quantum Physics 3
Hypothetical question on Inertia Classical Physics 37