Re: An Equivalence Principle

2008-04-14 Thread Bruno Marchal
Youness,

hmmm I am not sure  Perhaps a duality, or a Galois connection 
of some sort. I'm afraid that an *equivalence* would show up only in 
the case where I am the world or comp is false or in the case where 
the comp level of substitution is infinitely low, roughly speaking.
In that case ASSA and RSSA are plausibly equivalent, and the indexical 
comp (what I am used to call comp and which asserts that I am a 
machine) is then plausibly equivalent with Schmiduhuberian form of comp 
(the universe is a machine).

About Bostrom's unification/duplication, I think that from the first 
person point of view we can have unification when the two identical 
brains are running identically during a period of time dT, although 
duplication---during that very period of time dT--- has still to be 
considered when some histories, going through the identical states 
during dT,  differentiate later. This is what I like to sum up by

Y = II,

which means that a differentation/bifurcation change the measure on 
states in the logical past, a little like if the first amoeba did 
get a high measure in the past thanks to her many descendants today. 
This entails a form of anthropic teleology about which I lack the tools 
for making things more precise.

I think you could make your point clearer by trying to be more precise 
on what you consider to be a world and a (first person) observer moment 
perhaps. Modal logic could help you here I guess.

Bruno


Youness Ayaita wrote, the 07 Apr 2008:


An Equivalence Principle

Youness Ayaita
Mon, 07 Apr 2008 07:51:31 -0700

By this contribution to the Everything list I want to argue that there
is a fundamental equivalence between the first person and the third
person viewpoint: Under few assumptions I show that it doesn't matter
for our reasoning whether we understand the Everything ensemble as the
ensemble of all worlds (a third person viewpoint) or as the ensemble
of all observer moments (a first person viewpoint). I think that this
result is even more substantial than the assumptions from which it can
be deduced. Thus, I further suggest to reverse my argument considering
the last statement as a principle, the equivalence principle.

Let me first present and explain the two viewpoints:

1. The ensemble of worlds

This approach starts from the ontological basis of all worlds (or
descriptions thereof). I am not precise to what exactly I refer by
saying worlds and descriptions for I don't want to lose wider
applicability of my arguments by restricting myself to specific
theories of the Everything ensemble. But admittedly, I mainly think of
theories similar to Russell's ideas. However, the crucial property of
theories starting from the ensemble of worlds consists in their third
person viewpoint. The ontological basis does not explicitly refer to
observers nor to observer moments. Observers are regarded as being
self-aware substructures of the worlds they inhabit.

Coming from the sciences, this approach is very natural. In the
sciences, we are used to the idea of a physical reality independent of
us humans. We are studying phenomena happening in our universe. Thus,
when we invent a theory of the Everything ensemble, we are naturally
driven to the idea that not only our universe, but a multiverse
consisting of all possible worlds exists. We already know how
observers come into the scene: As an emergent property, a huge number
of the fundamental building blocks can constitute an observer. In
order to understand this, one has to introduce a semantic language
which describes the emergent phenomenon. The description of the world
itself is expressed in the syntactic language (I adopt Russell's
nomenclature). The link between between these two languages is some
kind of neurological theory explaining how the states of the
fundamental building blocks (more precise: the description of the
world) lead to mental states (or the emergence of an observer).
Though, finding such a neurological theory is a very difficult task.
In this world, we are facing the so-called hard problem of
consciousness. And even if neurologists, psychologists and
philosophers will finally succeed to find an adequate theory in this
world, it is not clear whether we can apply the theory to other
worlds.

So, to conclude, this approach has the great advantage of being very
close to the structure of the physical worlds. The explanation of
observers and observer moments seems to be possible, but surely is
very complicated and difficult.

2. The ensemble of observer moments

When I first thought of the Everything ensemble, I did not come from
the sciences, but from philosophy. I judged that the concept of
absolute existence was a dubious extension of the concepts of
subjective accessibility and perceptibility. So, it was natural for me
to start from the ensemble of observer moments, a first person
viewpoint. The class of all observer moments constitutes the
ontological basis of this second approach. Later, I realized that 

Quantum Immortality = no second law

2008-04-14 Thread nichomachus

In the description of the quantum immortality gedanken experiment, a
physicist rigs an automatic rifle to a geiger counter to fire into him
upon the detection of an atomic decay event from a bit of radioactive
material. If the many worlds hypothesis is true, the self-awareness of
the physicist will continue to find himself alive after any length of
time in front of his gun, since there exist parallel worlds where the
decay does not occur.

On a microscopic scale this is analogous to the observing a reality in
which the second law of thermodynamics does not hold. for example,
since there is a non-zero probability that molecular interactions will
result in a decrease in entropy in a particular sealed volume under
observation, there exist histories in which this must be observed.

This is never observed. Therefore the MWI is shown to be false.
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Re: Quantum Immortality = no second law

2008-04-14 Thread Saibal Mitra

Citeren nichomachus [EMAIL PROTECTED]:


 In the description of the quantum immortality gedanken experiment, a
 physicist rigs an automatic rifle to a geiger counter to fire into him
 upon the detection of an atomic decay event from a bit of radioactive
 material. If the many worlds hypothesis is true, the self-awareness of
 the physicist will continue to find himself alive after any length of
 time in front of his gun, since there exist parallel worlds where the
 decay does not occur.

This has never been rigorously proven. I can give you some argumetns 
why the MWI does not imply Quantum Immortality.


 On a microscopic scale this is analogous to the observing a reality in
 which the second law of thermodynamics does not hold. for example,
 since there is a non-zero probability that molecular interactions will
 result in a decrease in entropy in a particular sealed volume under
 observation, there exist histories in which this must be observed.

 This is never observed. Therefore the MWI is shown to be false.

This is also not a correct conclusion (if you replace MWI by quantum 
immortality).


 




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Re: Quantum Immortality = no second law

2008-04-14 Thread Saibal Mitra

Citeren nichomachus [EMAIL PROTECTED]:


 In the description of the quantum immortality gedanken experiment, a
 physicist rigs an automatic rifle to a geiger counter to fire into him
 upon the detection of an atomic decay event from a bit of radioactive
 material. If the many worlds hypothesis is true, the self-awareness of
 the physicist will continue to find himself alive after any length of
 time in front of his gun, since there exist parallel worlds where the
 decay does not occur.

This has never been rigorously proven. I can give you some argumetns 
why the MWI does not imply Quantum Immortality.


 On a microscopic scale this is analogous to the observing a reality in
 which the second law of thermodynamics does not hold. for example,
 since there is a non-zero probability that molecular interactions will
 result in a decrease in entropy in a particular sealed volume under
 observation, there exist histories in which this must be observed.

 This is never observed. Therefore the MWI is shown to be false.

This is also not a correct conclusion (if you replace MWI by quantum 
immortality).


 




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Re: Quantum Immortality = no second law

2008-04-14 Thread Michael Rosefield
No, it just means no-one's put enough stress on the 2nd Law yet :)

Besides, it's not so much a law as a guideline. Well, a strong statistical
tendency

On 15/04/2008, nichomachus [EMAIL PROTECTED] wrote:


 In the description of the quantum immortality gedanken experiment, a
 physicist rigs an automatic rifle to a geiger counter to fire into him
 upon the detection of an atomic decay event from a bit of radioactive
 material. If the many worlds hypothesis is true, the self-awareness of
 the physicist will continue to find himself alive after any length of
 time in front of his gun, since there exist parallel worlds where the
 decay does not occur.

 On a microscopic scale this is analogous to the observing a reality in
 which the second law of thermodynamics does not hold. for example,
 since there is a non-zero probability that molecular interactions will
 result in a decrease in entropy in a particular sealed volume under
 observation, there exist histories in which this must be observed.

 This is never observed. Therefore the MWI is shown to be false.
 



-- 
They couldn't hit an elephant at this dist-
Last words of Gen. John Sedgwick, spoken as he looked out over the parapet
at enemy lines during the Battle of Spotsylvania in 1864.

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Re: Quantum Immortality = no second law

2008-04-14 Thread Stathis Papaioannou

On 15/04/2008, Michael Rosefield [EMAIL PROTECTED] wrote:
 No, it just means no-one's put enough stress on the 2nd Law yet :)

 Besides, it's not so much a law as a guideline. Well, a strong statistical
 tendency

As Michael pointed out, the 2nd law is a statistical law, which says
that a decrease in entropy is unlikely, not impossible.. QTI predicts
that you will survive the most probable way possible. This means it is
unlikely that you will find yourself in a world where you choose to
attempt quantum suicide experiments in the first place, but if you do
the least improbable way of surviving is very improbable in absolute
terms, but not impossible.



-- 
Stathis Papaioannou

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Re: Quantum Immortality = no second law

2008-04-14 Thread Russell Standish

Further to this, to say that the 2nd law is falsified, we'd have to
have circumstances where the less likely outcome ocurred more
frequently than the more often. (ie entropy decreases more often than
it increases). But this begs the question of what we mean by
likelihood of outcome, if not related to frequency of occurrence. 

In any case, QTI does not change the observed outcome of likely versus
unlikely events, it just changes the set of possible outcome on which
to apply the second law.

On Tue, Apr 15, 2008 at 11:30:05AM +1000, Stathis Papaioannou wrote:
 
 On 15/04/2008, Michael Rosefield [EMAIL PROTECTED] wrote:
  No, it just means no-one's put enough stress on the 2nd Law yet :)
 
  Besides, it's not so much a law as a guideline. Well, a strong statistical
  tendency
 
 As Michael pointed out, the 2nd law is a statistical law, which says
 that a decrease in entropy is unlikely, not impossible.. QTI predicts
 that you will survive the most probable way possible. This means it is
 unlikely that you will find yourself in a world where you choose to
 attempt quantum suicide experiments in the first place, but if you do
 the least improbable way of surviving is very improbable in absolute
 terms, but not impossible.
 
 
 
 -- 
 Stathis Papaioannou
 
 
-- 


A/Prof Russell Standish  Phone 0425 253119 (mobile)
Mathematics  
UNSW SYDNEY 2052 [EMAIL PROTECTED]
Australiahttp://www.hpcoders.com.au


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Re: Quantum Immortality = no second law

2008-04-14 Thread nichomachus



On Apr 14, 9:21 pm, Russell Standish [EMAIL PROTECTED] wrote:
 Further to this, to say that the 2nd law is falsified, we'd have to
 have circumstances where the less likely outcome ocurred more
 frequently than the more often. (ie entropy decreases more often than
 it increases). But this begs the question of what we mean by
 likelihood of outcome, if not related to frequency of occurrence.

Hi, Russell,

Surely the framework of the Many Worlds interpretation would say that
the likelyhood of measuring a quantum observable in state A rather
than B reflects the number of histories in which the observable is
measured as being in state A divided by number of histories in which
either is seen. Molecules in a gas chamber may not be the best
example, as I am personally unclear as to whether the macroscopic
behavior of the aggregate is reduceable to probabilistic quantum
events. But the point remains that it is impossible to adhere to the
MWI without also affirming not only the existence of histories in
which unlikely events happen, but also ones in which *only* unlikely
events happen. This includes universes where the cat never dies,
uranium never decays, and (perhaps) the second law does not hold. Is
it right to think that this is unproblematic? Or perhaps we should
regard the Many Worlds formalism as merely an instrumentalistic
interpretation, similar to how Bohr and Heisenberg regarded their
Copenhagen interpretation, rather than granting full ontological
significance to alternate possible histories.


 In any case, QTI does not change the observed outcome of likely versus
 unlikely events, it just changes the set of possible outcome on which
 to apply the second law.

What does QTI stand for?

So our suicidal physicist would have enabled himself to observe the
extremely scenario of seeing radioactive elements never decay, by
killing himself in all histories where decay ocurred and thereby
selecting only the ones where it did not take place to continue his
awareness in.Of course, those branches of his identity would still
have observed the same outcomes even if the gun was unloaded, so he
doesn't really have to kill himself in nearly all universes in order
to get to see it.

But if I accept the above as true, then I must also accept that there
are histories that have been experienced in which no atom of an
unstable element has decayed since Jan. 1, 1900. (or any date you
prefer)

When Thomas Young performed his double slit experiment, were there any
versions of himself that did not observe an interference pattern?

Why not?

I appreciate the replies as I am more questions than answers at this
point on these topics.


 On Tue, Apr 15, 2008 at 11:30:05AM +1000, Stathis Papaioannou wrote:

  On 15/04/2008, Michael Rosefield [EMAIL PROTECTED] wrote:
   No, it just means no-one's put enough stress on the 2nd Law yet :)

   Besides, it's not so much a law as a guideline. Well, a strong statistical
   tendency

  As Michael pointed out, the 2nd law is a statistical law, which says
  that a decrease in entropy is unlikely, not impossible.. QTI predicts
  that you will survive the most probable way possible. This means it is
  unlikely that you will find yourself in a world where you choose to
  attempt quantum suicide experiments in the first place, but if you do
  the least improbable way of surviving is very improbable in absolute
  terms, but not impossible.

  --
  Stathis Papaioannou

 --

 ---­-
 A/Prof Russell Standish                  Phone 0425 253119 (mobile)
 Mathematics                              
 UNSW SYDNEY 2052                         [EMAIL PROTECTED]
 Australia                                http://www.hpcoders.com.au
 ---­--
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