- #36
- 14,350
- 6,837
Tom.stoer, have you seen my post #8? I would like to see your comments on it.
Demystifier said:Tom.stoer, it is possible to retain objective status of particles in the Unruh effect, provided that a preferred time exists as in Horava gravity. See
http://xxx.lanl.gov/abs/0904.3412
Vanadium 50 said:what one observer characterizes as absorbtion, the other characterizes as emission.
The following is a conjecture. I am speculating on the importance of the event horizon in the accelerated observers frame.tom.stoer said:The Unruh effect claims that a quantum state which can be defined as an "empty vacuum state" by an inertial observer will become a "thermal state containing particles" for an observer with constant acceleration a; the temperature observed is T ~ a.
In contrast to other oberver dependent effects this is not just a different interpretation of one frame-independent reality but seems to be a challange for physical reality at all. Let me explain why.
Suppose we are detecting particles in different references frames, i.e. with different detectors. Each time we are detecting a particle we agree that there is a particle, but we are not in agreement regarding its energy. We are not worried about this fact b/c we can use a Lorentz transformation to get the relation between energy and momentum.
For the Unruh effect it becomes much more disturbing b/c we cannot even agree whether there there is a particle or not. So it seems that we are no longer talking about one unique quantum state with frame dependent interpretations but that we have two truly different quantum states, two different "realities". There is not one event "a particle" with different interpretations like "energies E, E', E'', ...", but there are different realities some with an event "a particle", some with "no particle".
Suppose an accelerating observer and a goup of stationary observers at rest collect the information regarding "their quantum states" over a couple minutes. Once the accelerating observer passes a stationary one they make a simultaneous measurement whether there is a particle or not. After a while the obervers at rest will not have counted any particle, but the accelerating observer will have counted many. So they disagree on the fact "whether there are particles at all".
b/c every particle can be detected only once one could get rid of the problem via the idea that the particles detected by the accelerated observer cannot be detected by the obsevers at rest, so there is no logical contradiction. This is OK, but of course the accelerating observer "knows" that there are other particles that he could detect in principle, but that they escape from his detector by whatever reason. These particles are not detected by the observers at rest, not even in principle.
So the particles detected by the accelerated observer are not and cannot be detected by the observers at rest (b/c they can be detected only once). And the particles not detected by the accelerated observer are not and need not be detected by the observers at rest. So it really seems that there is no logical contradiction - but you may understand that when talking about "reality" one may be bothered by these ideas.
Any thoughts?
This is a rather interesting attempt. However one should not overburden Horava gravity here. Isn't it possible to 'derive' a similar result simply by forbidding t-r-mixing coordinate transformations? That would mean that in any theory of gravity "similar" to GR, Horava, ... there is an objective notion of "vacuum" for an "equivalence class" of geometries related by "allowed transformations"?Demystifier said:Tom.stoer, it is possible to retain objective status of particles in the Unruh effect, provided that a preferred time exists as in Horava gravity. See
http://xxx.lanl.gov/abs/0904.3412
tom.stoer said:I am not sure if I correctly understand the difference between Unruh effect and Unruh radiation. The Unruh effect means that an accelerating observer will see a thermal state. But what else but a "gas or particles" can this thermal state be?
Your idea that particles should be defined locally is developed in more detail here:tom.stoer said:The problem I see is the following: both Unruh and Hawking radiation are "global" effects; they rely on a global definition of space-time (used to define the frequencies and creation / annihilation operators) and they rely on (asymptotic) plane wave or plane-wave-like states. But the observation of an observer is alaways a local one!
My conclusion is therefore a bit different: ruling out certain transformations in Horava gravity seems to indicate that a definition of vacua using global rules is in conflict with GR (and similar theories) excluding global entities (like energy as a volume integral). Therefore the idea should be to get rid of a definition of vacua relying on such global entities (as has been done for EHs in the meantime which can be characterized locally w/o referring to lightlike infinity).