On 7/12/2013 2:11 AM, Bruno Marchal wrote:
On 11 Jul 2013, at 22:14, meekerdb wrote:
On 7/11/2013 12:34 PM, Bruno Marchal wrote:
On 11 Jul 2013, at 18:46, meekerdb wrote:
On 7/10/2013 11:25 PM, Bruno Marchal wrote:
I have given the equation. I try to explain this on FOAR but it relies on some
familiarity in logic.
Normally you should know already that physics is given by a measure on relative
computational continuations, and the logic explains already the statistical
interferences.
QM is deterministic and there is only one 'computational continuation';
?
If you measure up+down in the base {up,down}, you get two computational continuation,
unless you add a non deterministic collapse.
No, you only get one in which the measuring device state (including you) is entangled
with the system measured.
you * (up + down) = (you * up) + (you * down),
That is a deterministic bifurcation leading to two (at least) computational
continuations, one where you see the electron in the up state and one in which you see
the electron in the down state.
But it is not a bifurcation because it can be undone by subsequent evolution of the wave
function; which means there is only one computational continuation. It is only if you
assume collapse of the wave function that the evolution cannot be reversed and that is
what decoherence attempts to explain in terms of diffusing information into the
environment. But a fundamental theory of everything has no "environment".
That's what "entangle" means in QM without collapse.
To get two you have to treat "measurement" as some non-unitary operator.
Not at all, I can also use the FPI. The measurement becomes a machine interaction
followed by self-reference/personal memory access.
But here you deviate from QM and treat the individual consciousness as something that can
irreversibly bifurcate. It is essentially Wigner's initial theory that consciousness
collapses the wave function. The only difference is you suppose both branches to exist.
That's the puzzle that Everett addressed by throwing out the collapse postulate and
assuming only one kind of continuation. Since that seemed like an attractive idea the
problem has become how to explain the experience of one thing happening and another not.
It is solved completely by the FPI. We experience one thing and not the other for the
same comp reason why we see only W (or only M) in the WM duplication.
What is that reason? According to QM there are two systems that are entangled with
environments such that they are statistically unlikely to recohere and hence form
persistently different memories.
That is why Everett can use comp and remains in a purely deterministic framework. The
only problem is that Everett did not discovered explicitly the FPI,
He explicitly postulated it of observers in QM.
which occurs also in arithmetic, which would have forced him to understand that the wave
itself must be phenomenologically derived from a measure on all computations, and not
one circumscribe to any special universal machine (like the quantum one).
I don't see how reference to a "quantum machine" is relevant. QM is just a theory and in
fact just a schema for theories; you need the specify the Hilbert space and the
Hamiltonian before you actually have a theory.
Brent
Bruno
http://iridia.ulb.ac.be/~marchal/ <http://iridia.ulb.ac.be/%7Emarchal/>
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