Is There a Speed Limit for Spacetime Expansion in Quantum Field Theory?

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The discussion explores the implications of Feynman's path integral formulation in quantum mechanics, particularly regarding the potential for multiple paths and initial states of particles. Participants debate the nature of quantum field theory (QFT) and its necessity, questioning whether it can be derived from fundamental principles or is merely a method of curve fitting to observational data. The conversation highlights the tension between classical interpretations of physics and quantum mechanics, with some arguing that current theories lack a logical derivation. There is a call for a deeper understanding of reality that transcends mere phenomenology, suggesting that the universe's expansion and the nature of spacetime may stem from probabilities of alternatives. Ultimately, the discussion reflects a desire to reconcile observable phenomena with a coherent theoretical framework.
  • #31
selfAdjoint said:
LQG has its webs and foams, all connected, and digital physics cells are static. In both cases they are not the phenomenal spacetime which is a "limiting case" of their actions.
I'm not sure these work with a universe growing out of a singularity. If it does not grow from a singularity, then you have to contend with the illogic of instantaneous existence which by definition defies explanation and thus logic. If the universe did grow from a singularity, then at the differential level, spacetime (at least to begin with) must have a continuous structure in all directions (no webs or foams at this level). I would think think that if spacetime grew from a singularity, then all of spacetime from the beginning must inherit this feature of its roots. Otherwise, I think the change from such a continuous distribution to anything else would imply some very serious topology changes that probably cannot be explained.
 
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  • #32
Now I wonder if time must be connected and continuous, and space must be connected and continuous, then does this imply some maximum speed that spacetime can expand. For if it cannot expand instantaneously because instantaneous existence defies any reason for its existence and so would defy logic, then does the connectedness of space/time imply some speed limit to the expansion. This would probably be connected to the speed of light as well. Thoughts anyone?
 

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