The "change in metric signs" above would appear to refer to the change from the 3 space dimensions, 1 time dimension system of normal space-time to the 1 space dimension, 3 time dimensions of a superluminal system."The superluminal solutions appear quite naturally in general relativity. For instance a Schwarzschild solution to Einstein equations written in Schwarzschild coordinates has a peculiar property that time and radial coordinates change their metric signs at the event horizon."
Very interesting, isn't it? 🙂
Good lecture on Youtube by Doctor Dragan. Gets quite heated at points. But he explains some of the symbols that I found confusing in the paper.
Dr hab. Andrzej Dragan "Quantum principle of relativity" - YouTube
I had to refresh my Greek alphabet to be sure what he was talking about in the Probabilty (P) "sum of all paths" part.
Quantum principle of relativity - IOPscience
Good lecture on Youtube by Doctor Dragan. Gets quite heated at points. But he explains some of the symbols that I found confusing in the paper.
Dr hab. Andrzej Dragan "Quantum principle of relativity" - YouTube
I had to refresh my Greek alphabet to be sure what he was talking about in the Probabilty (P) "sum of all paths" part.
Quantum principle of relativity - IOPscience
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"What the theorists appear to be implying is that a superluminal particle, as seen from a subluminal system, would look as if it was moving like an expanding three dimensional time bubble!"
Sounds good to me 😉
Sounds good to me 😉
Because those in the know can differentiate between a piece of diamond and a blob of bird dropping?
OK, let's agree to consider a photon to be a bubble expanding in three dimensional space and a superluminal particle to be a bubble expanding in three dimensional time! 😎I would imagine the bubble analogy holds for wave fronts propagating at c as well...
The former consideration, as you say, is in accord with the Feynman's 'sum of all possible paths' explanation of double slit interference.
The latter consideration may explain the nature of the non-spacetime fabric inside the event horizon of a black hole, where ordinary physics has been thought to go crazy!
Whether this extraordinary physics will ever be expressed in terms that I can comprehend remains debatable. 🙁
Dragan and Ekert are no slouches, experienced in Quantum Information and Quantum Cryptology. But I am not finding anything else useful on the Quantum principle of relativity.
Early days for this interesting subject.
I was impressed with this consequence:
Dragan did mention Tachyons in his lecture. But one of the things seems to be about resolving the singularities in Black Hole theories. Quantum to me always means spin and angular momentum, not properties like straight line velocity, so work to do I think. But the change in viewpoint to observers frames is refreshing.
Early days for this interesting subject.
I was impressed with this consequence:
The superluminal solutions appear quite naturally in general relativity. For instance a Schwarzschild (Black Hole) solution to Einstein equations written in Schwarzschild coordinates has a peculiar property that time and radial coordinates change their metric signs at the event horizon.
This is normally dismissed by arbitrarily stating that the Schwarzschild solutions only make sense above the event horizon, although written in (freely falling) Kruskal coordinates, they are smooth at the horizon.
In order to resolve this puzzle we point out that Schwarzschild coordinates correspond to stationary observers placed at fixed distances from the horizon. Such observers can be subluminal only above the horizon, and under the horizon they would require superluminal motions.
The (Space-Time) sign flip in the metric therefore signifies the transition from a subluminal to a superluminal family of stationary observers residing under the event horizon in a fixed distance from the singularity.
Dragan did mention Tachyons in his lecture. But one of the things seems to be about resolving the singularities in Black Hole theories. Quantum to me always means spin and angular momentum, not properties like straight line velocity, so work to do I think. But the change in viewpoint to observers frames is refreshing.
What the theorists appear to be implying is that a superluminal particle, as seen from a subluminal system, would look as if it was moving like an expanding three dimensional time bubble!
Just more mathematical manipulations that can't be imagined in terms of everyday concepts!
... So you didn't see the research done at MIT some years ago?
Here's a video about the general methods of approach and intended application.
Visualizing video at the speed of light ? one trillion frames per second - YouTube
Here's a video with just the bottle being lit up.
MIT - Photon Camera - Spreading Light in a Bottle - YouTube
This has been presented earlier on in the thread. What would be really neat is to watch a single photon, though.
wonder why this isn't possible at the LHC?
wonder why this isn't possible at the LHC?
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Excuse me, but what is the speed of the gamma radiation according to the contemporary true belief? How can a flock of massless particles produce a much larger angular momentum just having the same angular velocity as light? I`m sure Dragan has a politically correct answer, but sadly he is not hear. Very sad indeed.
The Femto Photography utilised by the MIT team produced a simulated movie of the motion a light pulse with a frame rate of one trillion frames per second.Here's a video with just the bottle being lit up.
This was surpassed in 2020 by a team from Caltech that achieved frame rates of 70 trillion fps.
I think I made a joke at the time about the 'streak camera', as the instrument has been named. Streak camera - WikipediaThis has been presented earlier on in the thread.
At the risk of repeating myself: Ray Stevens - "The Streak" (Music Video) - YouTube
I took another look at the paper and I wonder if the conclusions and findings cannot be explained like this:-
For subluminal - Relativity holds
For the Einstein equations that cover superluminal conditions and were traditionally discarded - perhaps we should interpret it that time itself ceases to exist, so everything happens instantly. I imagine that time in the conventional way we understand it 'collapses' and in that way events take place instantly. Its a bit like entangled particles and 'spooky action at a distance'. Since time does not exist (or is 'frozen') for objects propagating at c, there is no distance between them.
There is perhaps an analogy here with a photon 'bubble'. A photon that has travelled across the observable universe and interacts with a particle on a telescope mirror ceases to exist everywhere in an instant, even though the photon bubble wave front may be billions of LY across.
(Does this open up the possibility of FTL communications?)
For subluminal - Relativity holds
For the Einstein equations that cover superluminal conditions and were traditionally discarded - perhaps we should interpret it that time itself ceases to exist, so everything happens instantly. I imagine that time in the conventional way we understand it 'collapses' and in that way events take place instantly. Its a bit like entangled particles and 'spooky action at a distance'. Since time does not exist (or is 'frozen') for objects propagating at c, there is no distance between them.
There is perhaps an analogy here with a photon 'bubble'. A photon that has travelled across the observable universe and interacts with a particle on a telescope mirror ceases to exist everywhere in an instant, even though the photon bubble wave front may be billions of LY across.
(Does this open up the possibility of FTL communications?)
So did I, and I'm still none the wiser regarding the "superluminal family of stationary observers residing under the event horizon of a black hole".I took another look at the paper...
Perhaps we should give this superluminal family a simple, but memorable name?

massless particles
Hah!
So light is both "massless" and a "particle"!
In the same sentence no less! 😀
What is the mass of a photon?
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Didn't we just have a wonderful moment where we agreed the only unrealistc figures are 0 and mugen (infinity)?
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Galu, indeed, I do remember it being discussed here before, didn't know about the recent development. Just find it interesting and relevant to current discussion is all.
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More interesting than a random selection of physics terms such as massless particles, angular momentum and angular velocity strung together with no obvious relevance whatsoever! 😉Just find it interesting and relevant to current discussion is all.
No, a good while ago before you appeared on the scene it was presented. If you did a search of this thread you'd find it.The Femto Photography utilised by the MIT team produced a simulated movie of the motion a light pulse with a frame rate of one trillion frames per second.
This was surpassed in 2020 by a team from Caltech that achieved frame rates of 70 trillion fps.
I think I made a joke at the time about the 'streak camera', as the instrument has been named. Streak camera - Wikipedia
At the risk of repeating myself: Ray Stevens - "The Streak" (Music Video) - YouTube
Oh yea, we've been busy here 😉
So did I, and I'm still none the wiser regarding the "superluminal family of stationary observers residing under the event horizon of a black hole".
Perhaps we should give this superluminal family a simple, but memorable name?[/QUOTE
I’m reminded of Max Born who took disagreed with Schroedingers interpretation of his own wave function equation and instead interpreted as a probability distribution function.
Actually, I don't think I commented on the streak camera, I'm certain I did!No, a good while ago before you appeared on the scene it was presented. If you did a search of this thread you'd find it.
I distinctly remember linking to 'The Streak' by Ray Stevens at the time. 😀
I'll leave it up to you do the tedious work of searching this thread to locate that and any earlier reference.
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