edd
Master Poster
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An eV is not a unit of energy divided by c^2.
I think MattusMaximus pretty obviously made some unintended errors. He does know what he meant to say, fairly clearly.
An eV is not a unit of energy divided by c^2.
I think MattusMaximus pretty obviously made some unintended errors. He does know what he meant to say, fairly clearly.
Two commas would have fixed it anyway.
It's possible for group velocities to exceed c - there's nothing even slightly exotic or surprising about that. {...} While the recent result might be explained by something related to group velocities (for instance, the proton pulses are quite wide, and "when" they first hit the graphite block is hence not very well defined), if that is the explanation it does not mean that neutrinos propagate faster than c.
That's actually what I was thinking of. Since I am not familiar with the exquisite features of particle physics, I am temporarily free to speculate in unrestrained fashion. I was wondering if what we are seeing could be the group velocity of the neutrinos.
In those experiments, where a time of flight is measured, there exists two types of superluminality. The first type has to do with the temporal width of the signal (in our case, the width of the bunch of neutrinos) and hence with the performance of the detectors. This first type is not a genuine superluminality. The second type is related, conversely, to the limit of the parameter δ.
Light has been observed with group velocities both faster and slower than the speed of light. The recent report from OPERA of superluminal 17 GeV neutrinos may describe a similar phenomenon.
In this brief comment we argue that even if the superluminal neutrinos do exist, this fact by itself will not overturn relativity.
{ ... }
The recent report about the discovery of µ-neutrinos' superluminal propagation in the CERN-OPERA experiment [6] may be based on some subtle systematic error. For instance, it could be another case of observed superluminal group velocity similar to those discussed in [1-3]. This is possible because the earth's crust acts as an optical medium with refraction index n which is extremely close but not exactly equal to 1 and thus can reshape the pulse associated with each particle.
{ ... } we suggest a simple toy model that describes these neutrino states as a Majorana-like particle with an imaginary mass component lower limit on the order of 10-13 eV and, for p ≤ kc, in the limit p ~ kc, an imaginary mass on the order of 108 eV, if the data interpretation and Monte Carlo simulations of OPERA results are correct. This solution, already discussed by Majorana in 1932, has here the meaning of a phenomenological description of what has been observed without invoking Lorentz invariance violations due to quantum gravity effects, discarded by the most recent results present in the literature. This apparent tachyonic propagation, also supposed for ve's in SN1987a data [4] an be due either by an actual Majorana property of neutrinos, or through MSW mixing, sterile neutrino states and acquisition of orbital angular momentum states, induced by the structured material in Earth's crust. We argue that this superluminal effect is expected only in the presence of neutrinos interacting with matter, with an effect similar to that observed with photons in a metamaterial [8]. in vacuum, instead, neutrinos are expected to propagate at speed less or equal than the speed of light, otherwise the anticipation observed in the SN1987a would have been of years.
Radiative corrections to the dispersion of neutrinos in nonstandard vacuum may give rise to "boosts" in their speed. This could explain recent experimental evidence by the OPERA collaboration, as well as the null result indicated by the supernova 1987A (SN 1987A) measurements of neutrino and photon arrival times
{ ... }
In summary we have discussed field theoretic options for the "speedup" of ultrarelativistic particles beyond the speed of light barrier in the presence of suitable media which cause a reduction of polarizability and radiative corrections. These considerations do neither represent the possibility to circumvent relativistic causality, because no ad-hoc "willable" superluminal information or paradoxical time travel will be rendered [32]; nor are they inconsistent with the present formalism of relativity theory or the theory of quantized fields; on the contrary they can be taken as a demonstration of the relativistic formalism [33, 34]. They would not even make necessary the standard SI conventionalization of the constancy of the speed of light [35]; with the possible addendum of referring to this the velocity of light in a particular type of rather idealized vacuum.
Taking the OPERA result seriously hence tells us that the structure of spacetime cannot be described simply by Lorentzian Geometry
I have noticed several pre-prints that have cropped up addressing the OPERA superluminal neutrinos and thought I would post a brief summary of what I see. I quote snippets directly from the papers where it is worth while and add a few comments of my own. In all cases a PDF of the paper can be had by following the arXiv link.
Can someone explain the concept of "Group velocity" in idiot speak, please?
If I substitute ball bearings for neutrinos , I can see that shooting a bunch out of a magnetic cannon, there will be a spread of muzzle velocities. So a 1 second burst will hit the target spread over more than 1 second.
What I don't see is how any of them can get there faster than Distance/ Muzzle Velocity (ignoring air resistance or other energy loss).
ie the average velocity will be lower than the highest muzzle velocity in all cases. Never faster.
In the case where the muzzle velocity= c, some neutrinos can be expected to arrive late, but not early.
Is it possible to put a second neutrino detector (hey- it's only money) about ten feet downstream of the graphite source, to see if any of them are leaving the source at unusual speed? That would rule out the 473km variable.
Just thinking about this, - is the idea of group velocity to do with the possibility that one of the last shots fired may be miscounted as one of the earliest arrivals? If so, would thespread time per "burst" not be pretty consistent from shot to shot and so easily corrected for?
Can someone explain the concept of "Group velocity" in idiot speak, please?
If I substitute ball bearings for neutrinos , I can see that shooting a bunch out of a magnetic cannon, there will be a spread of muzzle velocities. So a 1 second burst will hit the target spread over more than 1 second.
What I don't see is how any of them can get there faster than Distance/ Muzzle Velocity (ignoring air resistance or other energy loss).
ie the average velocity will be lower than the highest muzzle velocity in all cases. Never faster.
Group velocity tricks are like that, only with waves.
Ditto - also thanks for #347!Thanks for both of those, guys.
I get the BB demo- but surely the fact the total duration of the detected burst is half the length of the fired burst would set bells ringing?
I'm off to follow MM's link.
ETA- EEEK! That makes my eyes go crossed. I think I get it. Thanks.
Thanks for both of those, guys.
I get the BB demo- but surely the fact the total duration of the detected burst is half the length of the fired burst would set bells ringing?
I'm off to follow MM's link.
ETA- EEEK! That makes my eyes go crossed. I think I get it. Thanks.
This thread is for discussion of the CERN-OPERA neutrino findings. As the possible implications cover a broad range of modern physics, particle research, statistics and so forth, it could be a rather diverse subject. Nonetheless, arguments about scientists covering up glaring errors in Relativity theory belong in the other thread which is in Conspiracy Theories. Please stay on topic.Replying to this modbox in thread will be off topic Posted By: Myriad