Richard,
On 20 Dec 2013, at 12:40, Richard Ruquist wrote:
What surprises me is that apparently comp predicts a single
multiverse rather than than multiple multiverses.
Interesting problem.
Comp predicts only a single multi-dreams, which is the "universal"
computation made by the UD, or the Sigma_1 complete part of arithmetic.
I am still not sure if the "material points of view" will give 0, 1,
2, ... aleph_0, ... or more multiverses.
A difficulty relies also in the fact that a "multiverse", or even a
"physical universe" is still not really well defined by the physicists
themselves. In fact in Everett theory, we might also not be entirely
sure if there is a multiverse, or a multi-multiverse, and such
question might need the resolution of the quantum gravity question.
With comp, we can say things like that: IF there are n multiverses,
THEN they cannot interfere statistically and so "you" are in only one
of them (if not they will comp-interfere), and thus they must be all
"small" (= not emulating a UD). So, only one multiverse might contain
a "physical" universal dovetailing.
Is the quantum vacuum a physical universal dovetailer?
Is the Everett universal wave a physical universal dovetailer?
Is the solution of the comp measure problem a physical universal
dovetailer? Should "nature" compete with the universal dovetailing to
win the measure competition?
Ah! You make me thinking ... What is really a multiverse? Can we
define this in ZF, or in ZF+kappa? Would it makes sense to talk of
alpha-multi-verse for alpha an arbitrary cardinal, or an On-
multiverse, with On being the class of all cardinals?
What if the ultimate structure of the physical reality is non well
founded? That is plausible with comp (despite arithmetic is well
founded). In that case a multiverse could contain another multiverse,
a bit like a black hole could be a door to another universe.
Keep in mind that for a computationalist (who is aware of the UDA
"reversal") (assuming there is no flaw of course) the physical reality
is the border of the "real" reality where "real" is what the FPI gives
for the "average" universal (and Löbian) numbers.
You can visualized the UD by a cone of length omega (aleph_zero). Just
take a program for a UD implemented in a universal game of life
pattern. Then pile up the planes representing the successive evolving
life pattern. This gives a digital cone (due to the never ending
growing of the life pattern emulating the UD), and you can "see" the
UD* as an infinite tridimensional digital cone. OK?
Now, you can compactify that structure. You identify the planes at 0,
1, 2, 3, ... n, places in the infinite piling with 0, 1/2, 1/2+1/4,
1/2+1/4+1/8, ..., so that the entire infinite UD* is kept on a finite
board of lenght 1: just a cone, or its projection: a triangle. OK?
Where is the "physical reality" in that picture? Nowhere, as UD* is
purely 3p, and physics is purely 1p. Hopefully: 1p-plural (and Everett
confirms this: our computations are contagious, we cannot *not* share
them when interacting. But that 1p collective structure must (in comp)
emerge at the union of all sets of all computations (containing our
actual states), and this can be described in 3p, and is in the border
which appears when we do the compactification.
That border, the topside of the cone, or the right side of the
triangle of length 1, is an hologram, as each sub-branch infinitely
often generates the UD, and the broder contains the infinite one. It
is a bit like the border (but on dimension 1) of the Mandelbrot set.
The physical realities are dense everywhere "there" and they are
multiplied in hard to conceive magnitude, on that 2-dimensional top
(in that representation of UD*).
Unlike the little mandelbrot sets, they might be non enumerable.
And then you have that things which I tended to hide a little bit,
which is that the hypostases gives three quantizations, like if there
where three type of physical realities (would that mean three
multiverses? In *some* sense to make precise: perhaps).
Not just sensible matter and intelligible matter (Bp & Dt & p, and Bp
& Dt, respectively) provides quantization, on the p sigma_1, the soul
(Bp & p) does too, on the p sigma_1. Apparently Plotinus is right on
this: the soul seems to be born with a foot already in matter.
I should say more on modal logic and enunciate the theorem of Solovay.
All what I say comes from the fact that meta-arithmetic can be
arithmetized, the main discovery of Gödel. It is the technic which
embeds the "mathematician" in the mathematical reality (indeed in a
tiny arithmetical part), like Everett embeds the physicist in the
physical reality (defined by a solution of the SWE).
It is the technic which makes able to interview, and sum up infinite
interviews with the machine talking about itself.
Monistic theories cannot not embed the observer in the observed, the
spectator in the spectacle, the audience in the show.
Best,
Bruno
Richard
On Fri, Dec 20, 2013 at 5:26 AM, Bruno Marchal <[email protected]>
wrote:
On 20 Dec 2013, at 02:15, Craig Weinberg wrote:
If it's all just math, what is the unexpected surprise that makes
it funny? Is math surprised that its math?
It is of course only surprising for those deluded (assuming comp)
into thinking that there is some primitive non mathematical reality,
like the aristotelian theologian, who believe in a non mathematical
primitively physical universe.
The real surprise, in the arithmetic internal views, is the
existence of the universe (not the fact that it is not a primitive).
The absence of X, if proved, would surprise the believers in X, in a
same way.
"Surprised" is prejudice dependent.
Bruno
On Wednesday, December 18, 2013 2:07:47 AM UTC-5, Brent wrote:
http://abstrusegoose.com/544
Brent
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