On 1/28/2013 4:22 PM, meekerdb wrote:


    I think this paper might be fodder for a nice discussion!


  About the Infinite Repetition of Histories in Space

Francisco José Soler Gil <http://arxiv.org/find/physics/1/au:+Gil_F/0/1/0/all/0/1>,Manuel Alfonseca <http://arxiv.org/find/physics/1/au:+Alfonseca_M/0/1/0/all/0/1> (Submitted on 22 Jan 2013 (v1 <http://arxiv.org/abs/1301.5295v1>), last revised 23 Jan 2013 (this version, v2))

    This paper analyzes two different proposals, one by Ellis and
    Brundrit, based on classical relativistic cosmology, the other by
    Garriga and Vilenkin, based on the DH interpretation of quantum
    mechanics, both of which conclude that, in an infinite universe,
    planets and living beings must be repeated an infinite number of
    times. We point to some possible shortcomings in the arguments of
    these authors. We conclude that the idea of an infinite
    repetition of histories in space cannot be considered strictly
    speaking a consequence of current physics and cosmology. Such
    ideas should be seen rather as examples of {\guillemotleft}ironic
    science{\guillemotright} in the terminology of John Horgan.

The idea that there are infinitely many universe (or an infinitely big one) and therefore everything must be repeated infinitely many times is incoherent. If there's a copy of this universe, then it *IS* this universe by Leibniz's identity of indiscernibles. Similarly, if this universe is infinitely large it must have infinitely many different possible states - otherwise it would start repeating somewhere and, as I remarked above, a repeat is just the same thing double counted. So what makes sense is to say the universe (whether conceived as spacetime or as a Hilbert space) is unbounded, it can always get bigger and have more states - which seems to be supported by the expansion of the universe.


Hi Brent,

I agree, but we also have to count those universes that are conformally isomorphic as Leibniz equivalent as well, which identifies all the different sized versions of a given universe.



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