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Spacetime states in Rovelli's book Quantum Gravity

  1. Jan 3, 2009 #1

    naima

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    spacetime states in Rovelli's book "Quantum Gravity"

    happy new year everybody,

    I am reading "quantum gravity" of Rovelli.
    He introduces functions f(x,t) defined on compact of space time that are zero outside.
    They correspond to the time and space needed to a measurement.
    page 168: they generalize conventional wave packets for which [tex]f(x,t) = f(x) \delta(t) [/tex] which are associated to instantaneous measurements.
    There is no equation for them
    He constructs the usual wave fonction [tex]\phi(x',t') = \int dx dt w(x',t',x,t) f(x,t)[/tex]
    Where w is the propagator. This wave function satisfies the Schrodinger equation.
    We lose the information we had with f!
    He says f and f' are equivalent iff they give the same [tex]\phi[/tex]
    Ok but why have we not to use the information in f?
     
  2. jcsd
  3. Jan 8, 2009 #2

    naima

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    Re: spacetime states in Rovelli's book "Quantum Gravity"

    I found this: http://arxiv.org/abs/gr-qc/0111016
    It seems to be a new formalism building classical Quantum Mechanics upon "test functions" (the spacetime states)
     
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