On Tue, Nov 14, 2017 at 6:17 PM, <agrayson2...@gmail.com> wrote:

​> ​
> Any macro object is in a definite state
>

​That is incorrect. An electron an be in a single quantum state with just
one associated wave function, 2 electrons can do the sane thing in
superconductors they're called "Cooper pairs", and the same can also be
true for several million atoms in a Bose–Einstein condensate but you have
to cool them  to less than a millionth of a degree above absolute zero; but
all the 10^25 atoms in a baseball have their own different wave function
because unlike the atoms in a Bose–Einstein condensate all the atoms in a
baseball are NOT entangled with each other, if they were a baseball would
exhibit the same weird behavior as an electron.  That would certainly make
for a more interesting game and might even be enough to turn me into a
baseball fan.

Two atoms are quantum entangled entangled if they have the same wave
function but it's a delicate condition and must be carefully isolated from
the environment, the more atoms the more delicate it is, 10^25 atoms is so
delicate we never see it.

​>​
> Multiverse arose in the context of string theory, after Everett's MWI. The
> difference between Multiverse and MWI is striking and obvious.
>

​Explain to me how ​
Everett's MWI
​ can work without the Multiverse.​ The fact that string theory also needs
a Multiverse just give more support to Everett, or at least it would if
there were any experimental evidence to indecate string theory was true,

​>
>>> ​>>​
>>> ​
>>> For example, we know that irrational numbers exist
>>>
>>
>> ​>> ​
>> Do we?
>>
>
> ​> ​
> O
> ​​
> f course. It has been proven that pi and e are not rational.
>

​Yes, in the language of mathematics there are stories about rational and
irrational numbers and there are also stories about pi and e and you can
prove that the stories abut irrationality are consistent with pi and e. And
in the language of English there are stories about Harry Potter and it can
be proven that Harry's aunt is named Petunia, but there is no proof that
harry or Petunia exist in the physical world and there is no proof
pi or e (not to be confused with the approximations of pi and e) have any
effect on the laws of physics.  ​



> It's also been proven that the irrationals are dense in the reals; that
> is, many "more" irrationals than rationals;
>

​And the stories also say there are many more  non-computable Real numbers ​
​than computable Real numbers, the set of computable numbers is not dense
on the reals, its countably infinite with a cardinality of
Aleph-naught
​. If a number is not computable, ​that is to say  unlike pi or e then is
no procedure for even approximating it then I don't see how it cold be of
any importance to physics. And I say again Many Worlds is a theory about
physics not mathematics.

What about the rational numbers, does physics need all of them?
 The answer in not certain but we already have good reason to suspect that
neither time nor space is continuous, although although we won't know for
sure until we understand quantum gravity.  ​


> ​>> ​
>> there might be a infinite number of Turing Machines in the Multiverse but
>> they couldn't communicate with each other and none of them would have a
>> infinite amount of tape. So any real Turing Machine in the Multiverse is
>> certain to eventually stop, not for any software reason but because of
>> hardware failure. Eventual any real Turing machine will get a command like
>> "move the read/wright head one box to the left write a 1 in the box and
>> then change to state 6.02*10^23" but it will be unable to move one box to
>> the left became it is already at the end of the tape and there is no more
>> matter in the observable universe to extend it. If no physical process can
>> produce them that
>> seems to me a pretty good indication that the physical universe doesn't
>> need irrational numbers (or even real numbers). Many Worlds is a theory
>> about physics not mathematics so the philosophic debate about the existence
>> or nonexistence of irrational numbers ​
>> has no bearing on existence or nonexistence of
>> ​ Many Worlds.​
>>
>
> ​> ​
> I am not sufficiently knowledgeable about Turing machines to comment.
>

​All you need to know is that a Turing Machine is the simplest most
fundamental form of computer that operates according to the known laws of
physics, so if a Turning Machine can't do something then no computer can,
and a Turing Machine can't calculate a single irrational number, not even
if it makes use of all the matter in the observable universe, not even if
it has infinite time to work on it. And that makes me think irrational
numbers are not fundamentally important to the laws of physics or to our
physical world.


> ​> ​
> HOWEVER, if you prefer, forget about number theory and consider the FINITE
> AGE of our universe, the observable and unobservable regions. It's been
> expanding for 13.8 billion years, so its spatial extent must be
> FINITE. This undercuts your argument about infinite repetitions of
> whatever.
>

​Right now the most popular Cosmological theory is inflation, if it's
correct then the Big Bang was just a trivial occurrence  that happened 13.8
billion years ago in a infinitely old Multiverse.  ​
Alan Guth postulated a inflation field that decayed away in a process
somewhat analogous to radioactive half life, and after the decay the
universe expanded at a much much more leisurely pace. But then Andre Linde
proved that for Guth's idea to work the inflation field had to expand
faster than it decayed, Linde called it "Eternal Inflation". Linde showed
that for every volume in which the inflation field decays away 2 other
volumes don't decay. So one universe becomes 3, the field decays in one
universe but not in the other 2, then both of those two universes splits in
3 again and the inflation field decays away in one and doesn't decay in 2
others, and it goes on forever. So what we call "The Big Bang" isn't the
beginning of everything it's just the end of inflation in our particular
part of the universe. So according to Linde this field created one Big
Bang, then 2, then 4, then 8, then 16 etc in a unending process. Maybe in
one of those universes Schrodinger's cat is dead and in another the cat is
alive.
​

It's interesting that first ​
Everett
​ needed the Multiverse to explain quantum ​weirdness, and then
independently the string people discovered they needed the Multiverse in
their struggle to develop quantum gravity, and then independent of the
previous two the inflation people needed the Multiverse to explain the Big
Bang. It seems like its all coming together, it makes me think the
Multiverse might actually exist.

John K Clark

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