Synchronization method with possible QG applications

[bcrowell]

E. Minguzzi, "Clocks' synchronization without round-trip conditions," http://arxiv.org/abs/1009.3005

abstract:

"Poincare-Einstein's synchronization convention is transitive, and thus leads to a e consistent synchronization, only if some form of round-trip property is satisfied. An improved version is given here which does not suffer from this limitation and which therefore may find application in physics, computer science and com- munications theory. As for the application to physics, the round-trip condition required by the Poincare-Einstein's synchronization convention corresponds to e a vanishing Sagnac effect and thus to the selection of an irrotational frame. The corrected method applies also to rotating frames and shows that there is a consistent synchronization for every given measure on space. The correction to Poincare-Einstein's amounts to an average of the Sagnac holonomy over all the possible triangular paths. The mathematics used is reminiscent of Alexander cohomology theory."

from the conclusions:
"Perhaps the most significant consequence is that, contrary to what could be expected, there is, in many cases, a natural splitting of spacetime into space and time and that this result is exact (provided the assumptions are satisfied). This surprising fact may prove to be useful in quantum gravity, where the lack of such a privileged splitting has come to be known as "the problem of time"."

 

[AndyW]

Dear E. Minguzzi,

Thank you for sharing your work on clocks' synchronization without round-trip conditions. Your improved version of Poincare-Einstein's synchronization convention is certainly intriguing and has potential applications in various fields, as you have mentioned. I am particularly interested in its implications for quantum gravity and the problem of time.

Your finding that there is a natural splitting of spacetime into space and time, without the need for a round-trip condition, is indeed surprising and could potentially have a significant impact on our understanding of the nature of time in quantum gravity. Have you considered how this result may affect other theories or models of spacetime, such as loop quantum gravity or string theory?

I also find the use of Alexander cohomology theory in your mathematics to be interesting. Could you elaborate on how this theory relates to your method and its application in physics?

Thank you again for sharing your work. I look forward to further developments and potential applications of your improved synchronization convention in various fields of science.