> From: Matt Mahoney [mailto:[EMAIL PROTECTED] > > --- "John G. Rose" <[EMAIL PROTECTED]> wrote: > > > > From: Matt Mahoney [mailto:[EMAIL PROTECTED] > > > The simulations can't loop because the simulator needs at least as > much > > > memory > > > as the machine being simulated. > > > > > > > You're making assumptions when you say that. Outside of a particular > > simulation we don't know the rules. If this universe is simulated the > > simulator's reality could be so drastically and unimaginably different > from > > the laws in this universe. Also there could be data busses between > > simulations and the simulations could intersect or, a simulation may > break > > the constraints of its contained simulation somehow and tunnel out. > > I am assuming finite memory. For the universe we observe, the > Bekenstein > bound of the Hubble radius is 2pi^2 T^2 c^5/hG = 2.91 x 10^122 bits. (T > = age > of the universe = 13.7 billion years, c = speed of light, h = Planck's > constant, G = gravitational constant). There is not enough material in > the > universe to build a larger memory. However, a universe up the hierarchy > might > be simulated by a Turing machine with infinite memory or by a more > powerful > machine such as one with real-valued registers. In that case the > restriction > does not apply. For example, a real-valued function can contain nested > copies > of itself infinitely deep. > >
That's assuming that our whole universe is simulated, not just portions of it. Also Turing machines with real valued registers would still be limited by the same universal constants that the Turing machine is running in? IOW real valued registers are only theoretically infinitely subdividable not realistically. And then simulation characteristics - what exactly is implied by simulation, is everything precalculated and rendered? The characteristics may be undeterminable since the simulation data bus probably IMO is running at some speed faster than c. John ------------------------------------------- singularity Archives: http://www.listbox.com/member/archive/11983/=now RSS Feed: http://www.listbox.com/member/archive/rss/11983/ Modify Your Subscription: http://www.listbox.com/member/?member_id=4007604&id_secret=98631122-712fa4 Powered by Listbox: http://www.listbox.com
