On 12-05-2022 01:46, Bruce Kellett wrote:
On Thu, May 12, 2022 at 9:08 AM smitra <smi...@zonnet.nl> wrote:
On 11-05-2022 08:14, Bruce Kellett wrote:
On Wed, May 11, 2022 at 3:39 PM Brent Meeker
<meekerbr...@gmail.com>
wrote:
On 5/10/2022 9:43 PM, smitra wrote:
If there are only a finite number of states the entire universe
can be
in, then that's also true for observers.
So what does the SE for this discrete universe look like? The
one
every cites assumes a continuum. If the universe is finite then
there's
smallest non-zero probability, which as Bruce says, raises some
problems.
Not the least of these problems is the fact that a smallest
non-zero
probability makes the collapse real; destroys the ongoing
superposition; renders everything absolutely irreversible; and
screws
the hell out of unitary evolution.
Counterexample: The internal state of an ideal quantum computer will
always evolve under unitary time evolution.
If there is a smallest non-zero probability, this may no longer be the
case.
A quantum computer implements exactly the sort of a discrete system that
is discussed, and yet it works just fine, evolving under the unitary
time evolutions as it should during the time it can be maintained in a
quantum coherent state.
Actually, a smallest non-zero probability would certainly
resolve a lot of the problems with many worlds theory. Unitarity would
no longer work to all levels; pure states would automatically become
mixtures under decoherence; reversibility would vanish; collapse would
make sense, and the emergence of the classical world from the
underlying quantum substrate would be explained. All this follows if
there are no continuous quantities in physics, and continuous
variables are just approximations to underlying discrete
quantities......
Solves a lot of problems. I can see why Brent is attracted to this
idea.
This does not follow from the non-existence of continuous quantities,
because nothing on the current laws of physics implies that continuous
quantities objectively exist.
Bruce
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