Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Area spectrum in Simplex Gravity

  1. May 21, 2004 #1

    marcus

    User Avatar
    Science Advisor
    Gold Member
    2015 Award
    Dearly Missed

    talking about the hydrogen atom spectrum (energy levels)
    reminds me of an outstanding question in modern theoretical physics

    What is the area spectrum in Simplicial Quantum Gravity?"

    SQG is Ambjorn's name used interchangeably for the dynamical triangulation approach to quantum gravity.

    computer simulations using this approach recently
    generated a 4D world (the Ambjorn Jurkiewicz Loll paper that Baez was talking about)

    so Simplex Gravity works or so it appears, there is still plenty to check.

    this means a major question, maybe the next big question in quantum gravity, is to calculate the spectra of the geometric operators, area and volume

    like roughly 100 years ago Bohr realized the energy and angular momentum in the electron orbit were discrete and he made a discrete (quantum step) model of it and calculated what colors light

    and now Ambjorn (and Loll and others) are guessing space is discrete in a certain way and modeling it with a swarm of simplices
    (a simplex is the analog of triangle in more than 2 dimensions)
    and those people or colleagues should be able to derive
    a discrete spectrum of the (not energy this time but) area operator

    this has already been done in Loop gravity
    it turns out that the area eigenvalues are various fractional multiples of the basic Planck area (fractions and the like, some square roots too but basically simple)
    so naturally one wonders if doing it in Simplex quantum gravity gives the same eigenvalues.
     
    Last edited: May 21, 2004
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Area spectrum in Simplex Gravity
  1. Phonon Spectrum (Replies: 3)

  2. Hydrogen Spectrum (Replies: 3)

  3. The blackbody spectrum (Replies: 1)

  4. Spectrum of the Sun (Replies: 5)

Loading...