a new paper by Girelli and Livine
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I haven't read the paper, but ... in a theory in which speed is quantized, is it physically possible for two frames to differ by half of a speed quantum? (By "speed quantum" I guess I mean the smallest nonzero speed in the spectrum.)Originally posted by Njorl
Consider a particle moving at on quanta of speed. Now adjust the reference frame by half of a speed quanta and the particle is moving at a non-integral quanta.?
you've got it NjorlOriginally posted by Njorl
This seems very strange to me. In order to quantize speed, you would have to quantize the speed of an allowable reference frame....
The paper says: "The speed (with respect to a given observer) is quantized." Notice that we no longer have the Poincare group, or even its covering SL(2,C), but rather the q-deformed version of SL(2,C). Wouldn't this imply that the usual Lorenz boosts would be replaced by q-deformed, i.e. quantized versions?Originally posted by marcus
you've got it Njorl
the speeds of allowable observers relative to each other are quantized in their proposal. they explicitly say this in the paper as I recall
so the example you mentioned of adjusting a frame to move by "half" a quantum does not come up
A hearty welcome to you Martin! I too am curious about this and hope that someone will reply. Sometimes David Louapre (who knows Livine's work) has posted here and he may reply.Originally posted by martinrandau
Another interesting affect of Livine's new paper is the effects quantizised speed has when Cosm. const. is big (as it were in the early phases of big bang). His paper proclaims that speed then only could have a few certain values, something that has a great impact on the structure of the universe.
It would be great if someone could reply to this.
It is a young person's field, quantum gravity. there is a bunch of young people (under 30, mostly postdocs or not even with PhD yet) who are doing much of the creative work. One of the world centers is near Potsdam (the Albert Einstein Institute at Goelm, part of the MPI for Gravitation Physics at Potsdam). Martin Bojowald is at AEI-Goelm.Originally posted by martinrandau
...However it would also be interesting if someone who knows Livine's work could answer (I remember you mentioned someone).
If the theory is accepted and furthermore taken in account in today's other big bang theories, I believe it'll have a great impact.