Stathis Papaioannou wrote:
> Tom Caylor writes:
> 
> 
>>1) The reductionist definition that something is determined by the
>>sum of atomic parts and rules.
> 
> 
> So how about this: EITHER something is determined by the sum of atomic parts 
> and rules OR it is truly random.
> 
> There are two mechanisms which make events seem random in ordinary life. One 
> is the difficulty of actually making the required measurements, finding the 
> appropriate rules and then doing the calculations. Classical chaos may make 
> this practically impossible, but we still understand that the event (such as 
> a coin toss) is fundamentally deterministic, and the randomness is only 
> apparent.
> 
> The other mechanism is quantum randomness, for example in the case of 
> radioctive decay. In a single world interpretation of QM this is, as far as 
> I am aware, true randomness. 

Unfortunately there is no way to distinguish "true randomness" from just 
"unpredictable" randomness.  So there are theories of QM in which the 
randomness 
is just unpredictable, like Bohm's - and here's a recent paper on that theme 
you 
may find interesting:

quant-ph/0604008

From: Gerard Hooft 't [view email]
Date: Mon, 3 Apr 2006 18:17:08 GMT   (23kb)

The mathematical basis for deterministic quantum mechanics
Authors: Gerard 't Hooft
Comments: 15 pages, 3 figures
Report-no: ITP-UU-06/14, SPIN-06/12

     If there exists a classical, i.e. deterministic theory underlying quantum 
mechanics, an explanation must be found of the fact that the Hamiltonian, which 
is defined to be the operator that generates evolution in time, is bounded from 
below. The mechanism that can produce exactly such a constraint is identified 
in 
this paper. It is the fact that not all classical data are registered in the 
quantum description. Large sets of values of these data are assumed to be 
indistinguishable, forming equivalence classes. It is argued that this should 
be 
attributed to information loss, such as what one might suspect to happen during 
the formation and annihilation of virtual black holes.
     The nature of the equivalence classes is further elucidated, as it follows 
from the positivity of the Hamiltonian. Our world is assumed to consist of a 
very large number of subsystems that may be regarded as approximately 
independent, or weakly interacting with one another. As long as two (or more) 
sectors of our world are treated as being independent, they all must be 
demanded 
to be restricted to positive energy states only. What follows from these 
considerations is a unique definition of energy in the quantum system in terms 
of the periodicity of the limit cycles of the deterministic model.


>In a no-collapse/ many worlds interpretation 
> there is no true randomness because all outcomes occur deterministically 
> according to the SWE. However, there is apparent randomness due to what 
> Bruno calls the first person indeterminacy: the observer does not know which 
> world he will end up in from a first person viewpoint, even though he knows 
> that from a third person viewpoint he will end up in all of them.
> 
> I find the randomness resulting from first person indeterminacy in the MWI 
> difficult to get my mind around. In the case of the chaotic coin toss one 
> can imagine God being able to do the calculations and predict the outcome, 
> but even God would not be able to tell me which world I will find myself in 
> when a quantum event induces splitting. And yet, I am stuck thinking of 
> quantum events in the MWI as fundamentally non-random.

It's also unclear as to what "probability" means in the MWI.  Omnes' points out 
that "probability" means some things happen and some don't.

Brent Meeker

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