king@Kestrel.ARPA (07/16/85)
Now there are eight possible instruction sets: {RRG, RGR, GRR, GGR,
GRG, RGG, GGG, and RRR}, and we haven't said anything about how the
signals from E are divided among them. What we do know is that the
switch settings were random, so the cases 11, 12, 13, 21, 22, 23, 31,
32, and 33 each occurred close to 1/9 of the time. However, for each of
the first six instruction sets listed the *same* light will flash for
five of the nine setting combinations. (Example: for RRG the results
are S, S, D, S, S, D, D, D, S). And for GGG and RRR the same light
flashes *all* the time. So *whatever* the distribution of instruction
sets emitted from E, the same light must flash not less than 5/9 of the
time:
This contradicts (1). Thus, under very general conditions having
nothing to do with the "mechanism" by which information is transferred,
it is demonstrated that (1) and (2) cannot both occur.
Now the point of all this is that there is a very straightforward
quantum mechanical situation in which (1) and (2) *can* both occur.
Without going into details, A and B contain three spin-measuring devices
oriented 120 degrees apart, the switches select among them, the lights
are reversed (red is up for one box and down for the other), and E emits
spin 1/2 particle pairs from an s = 0 state (so that the spins are
opposite). Under these conditions, the outcomes (1) and (2) are
predicted to occur. Experimentally, they have been *found* to occur as
described.
Aren't RRR and GGG impossible with the proposed mechanism?
The point is that with two degrees of freedom we CAN'T have three
settings and have eight equiprobable forms of quanta!
-dick