Sean Carroll's latest paper considers (but doesn't really prove) a couple of interesting conjectures:
1. Gravity and space-time geometry are emergent properties of a quantum world that reflect the degree to which particles are entangled with each other (more entanglement implies shorter distances and the mass-energy coupling might emerge more or less naturally and automatically from the formulation).
2. Nature is a quantum system in a finite dimensional Hilbert space, rather than an infinite dimensional Hilbert space as generally assume in quantum mechanics, which would provide a natural (but elegant) cutoff that would insulate the real world from the infinities and singularities found in quantum mechanics and GR done in an infinite dimensional/continuous approximation.
2 comments:
“ Gravity and space-time geometry are emergent properties of a quantum world that reflect the degree to which particles are entangled with each other (more entanglement implies shorter distances…”
This not Sean Carroll’s conjecture but is precisely described in my article {https://medium.com/@Tienzen/amen-it-might-be-a-dream-come-true-8ddf1ed544a0#.6zo8rfe9e }.
I don't have much to write about it yet that is clear and coherent enough for a blog post, but I have been thinking a lot about the implications of the finite dimensional HIlbert space concept, which has a lot of implications for the math of quantum gravity, a lot over the last couple of weeks.
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