TOC
  Search
Tuesday, September 07, 2010 ..:: Home » Papers » Digital Mechanics » Chapter 21: Amplitudes ::.. Register  Login
  


  
  

21. Amplitudes

The hardest thing to understand is why we can understand anything at all.

— Albert Einstein

In quantum mechanics, we can calculate the amplitudes and consequent probabilities very ac­curately. In DM, the automaton calculates with the amplitudes; the result is that the events oc­cur with the proper probabilities. This calcula­tion goes through all of the possible events. The information associated with a particular event in DM moves through all of the space-time for which there are amplitudes for the event. The DM can calculate the result with statistical precision even though the information has not had the time to get from A to B, because the information at A and B is computed by the same coordinated process. It is not just like synchronized clocks, rather it is like synchronized and intermeshed computers! It is easy to make models of QM using systems with one particle. Two or more particles consti­tute another story. In DM, everything is, in some sense, involved in a computation with everything else. What must be done is to find a DM rule that results in having done the computation that na­ture does. But this seems quite possible, because of the peculiar nature of computing with digits as opposed to continuous variables, when the computation is reversible.

                                                                                                                 


  
  


  
Digitalphilosophy.org   Terms Of Use  Privacy Statement