On Sat, 14 Sep 2019 at 22:57, Jason Resch <[email protected]> wrote:

>
>
> On Sat, Sep 14, 2019, 2:44 AM Alan Grayson <[email protected]> wrote:
>
>>
>>
>> On Saturday, September 14, 2019 at 12:34:18 AM UTC-6, Jason wrote:
>>>
>>>
>>>
>>> On Friday, September 13, 2019, Alan Grayson <[email protected]> wrote:
>>>
>>>>
>>>>
>>>> On Friday, September 13, 2019 at 4:42:00 PM UTC-6, Jason wrote:
>>>>>
>>>>>
>>>>>
>>>>> On Fri, Sep 13, 2019 at 8:25 AM Alan Grayson <[email protected]>
>>>>> wrote:
>>>>>
>>>>>>
>>>>>>
>>>>>> On Friday, September 13, 2019 at 5:24:11 AM UTC-6, Bruno Marchal
>>>>>> wrote:
>>>>>>>
>>>>>>>
>>>>>>> On 13 Sep 2019, at 04:26, Alan Grayson <[email protected]> wrote:
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> On Thursday, September 12, 2019 at 11:01:54 AM UTC-6, Alan Grayson
>>>>>>> wrote:
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>> On Thursday, September 12, 2019 at 7:45:22 AM UTC-6, Lawrence
>>>>>>>> Crowell wrote:
>>>>>>>>>
>>>>>>>>> On Thursday, September 12, 2019 at 4:20:46 AM UTC-5, Philip Thrift
>>>>>>>>> wrote:
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On Wednesday, September 11, 2019 at 11:45:41 PM UTC-5, Alan
>>>>>>>>>> Grayson wrote:
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> https://www.wired.com/story/sean-carroll-thinks-we-all-exist-on-multiple-worlds/
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Many Worlds is where people go to escape from one world of
>>>>>>>>>> quantum-stochastic processes. They are like vampires, but instead of
>>>>>>>>>> running away from sunbeams, are running away from probabilities.
>>>>>>>>>>
>>>>>>>>>> @philipthrift
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> This assessment is not entirely fair. Carroll and Sebens have a
>>>>>>>>> paper on how supposedly the Born rule can be derived from MWI  I have 
>>>>>>>>> yet
>>>>>>>>> to read their paper, but given the newsiness of this I might get to 
>>>>>>>>> it. One
>>>>>>>>> advantage that MWI does have is that it splits the world as a sort of
>>>>>>>>> quantum frame dragging that is nonlocal. This nonlocal property might 
>>>>>>>>> be
>>>>>>>>> useful for working with quantum gravity,
>>>>>>>>>
>>>>>>>>> I worked a proof of a theorem, which may not be complete
>>>>>>>>> unfortunately, where the two sets of quantum interpretations that
>>>>>>>>> are ψ-epistemic and those that are ψ-ontological are not decidable. 
>>>>>>>>> There
>>>>>>>>> is no decision procedure which can prove QM holds either way. The 
>>>>>>>>> proof is
>>>>>>>>> set with nonlocal hidden variables over the projective rays of the 
>>>>>>>>> state
>>>>>>>>> space. In effect there is an uncertainty in whether the hidden 
>>>>>>>>> variables
>>>>>>>>> localize extant quantities, say with ψ-ontology, or whether this
>>>>>>>>> localization is the generation of information in a local context from
>>>>>>>>> quantum nonlocality that is not extant, such as with
>>>>>>>>> ψ-epistemology. Quantum interprertations are then auxiliary
>>>>>>>>> physical axioms or postulates. MWI and within the framework of what 
>>>>>>>>> Carrol
>>>>>>>>> and Sebens has done this is a ψ-ontology, and this defines the
>>>>>>>>> Born rule. If I am right the degree of ψ-epistemontic nature is
>>>>>>>>> mixed. So the intriguing question we can address is the nature of the 
>>>>>>>>> Born
>>>>>>>>> rule and its tie into the auxiliary postulates of quantum 
>>>>>>>>> interpretations.
>>>>>>>>> Can a similar demonstration be made for the Born rule within QuBism, 
>>>>>>>>> which
>>>>>>>>> is what might be called the dialectic opposite of MWI?
>>>>>>>>>
>>>>>>>>> To take MWI as something literal, as opposed to maybe a working
>>>>>>>>> system to understand QM foundations, is maybe taking things too far.
>>>>>>>>> However, it is a part of some open questions concerning the 
>>>>>>>>> fundamentals of
>>>>>>>>> QM. If MWI, and more generally postulates of quantum
>>>>>>>>> interpretations, are connected to the Born rule it makes for some
>>>>>>>>> interesting things to think about.
>>>>>>>>>
>>>>>>>>> LC
>>>>>>>>>
>>>>>>>>
>>>>>>>> If you read the link, it's pretty obvious that Carroll believes the
>>>>>>>> many worlds of the MWI, literally exist. AG
>>>>>>>>
>>>>>>>
>>>>>>> Carroll also believes that IF the universe is infinite, then there
>>>>>>> must exist exact copies of universes and ourselves. This is frequently
>>>>>>> claimed by the MWI true believers, but never, AFAICT, proven, or even
>>>>>>> plausibly argued.
>>>>>>>
>>>>>>>
>>>>>>> The idea comes from Tegmark, and I agree with you, it necessitate
>>>>>>> more than an infinite universe. It requires also some assumption of
>>>>>>> homogeneity.
>>>>>>>
>>>>>>
>>>>>> Our universe is, on a large scale, homogeneous. But it can't be
>>>>>> infinite since it has only been expanding for finite time, 13.8 BY. I 
>>>>>> had a
>>>>>> discussion with Brent about this some time ago, and he claimed finite in
>>>>>> time doesn't preclude infinite in space. I strongly disagree. Perhaps I 
>>>>>> am
>>>>>> missing something. Wouldn't be the first time. AG
>>>>>>
>>>>>
>>>>> I think what you may be missing is that in popular (but misleading)
>>>>> accounts of the BB they often say everything originated from a point,
>>>>> rather than everywhere at once.  To say "everything came from a point" is
>>>>> at best only valid for describing the observable universe (or any finite
>>>>> portion of the universe) but is invalid to extrapolate it to the whole
>>>>> universe, which may be spatially infinite.
>>>>>
>>>>
>>>> I am not assuming our universe began from a mathematical point, but I
>>>> do assume that 13.8 BYA it was very very small, the observable and
>>>> unobservable parts.
>>>>
>>>
>>> Why do you assume this?  Most cosmologists make no such assumption.
>>> Under the concordance (standard assumed) model of cosmology, space is
>>> infinite.
>>>
>>
>> If the universe is expanding, it had to be smaller in the past.
>>
>
> Things were closer together in the past.  It's more accurate to think of
> the situation as distances stretching rather than the universe expanding.
> Because if the universe is infinite then technically speaking it isn't
> expanding in size. Yet whether finite it infinite, things in it are growing
> apart.  It is as if the space inside was self-reproducing.
>
> If it has been expanding for finite time, its spatial extent must be
>> finite,
>>
>
> If the universe is finite now it's always been finite. If it's infinite
> now it's always been infinite. It is true it cannot jump from finite to
> infinite. The question is what was it's size at the start. This is an open
> question.
>

Unless it was finite in size and infinitely dense and at some point it
expanded infinitely fast.


> like a huge hypersphere. All the models I see pictorially illustrated,
>> have it much much smaller than it presently is. AG
>>
>
> The hypersphere model is a good demonstration of the mechanics of
> expansion, but whether the universe is a finite hypersphere, an infinite
> flat space, or an outwardly curved infinite space is unknown.  Our
> measurements suggest space is flat to within 0.4%.  This implies it would
> have had to be much flatter in the past.  That suggests that the universe
> is much larger than the observable part, and the extreme flatness is one of
> the problems inflation solves.  The question of "the shape of the universe"
> is the very question if the spatial geometry, is it a hypersphere, flat, or
> saddle shaped?  This is another unknown, but the working assumption if the
> standard cosmological model is that it is flat.
>
>
>
>>>>  I don't think there is an implied disconnect between our measurements
>>>> of the CMBR and what an observer would measure in parts we have no access
>>>> to. It was everywhere hot and dense, and very very small.
>>>>
>>>
>>> There's no observational motivation for the universe being very very
>>> small at the beginning.  It could have been small, large or infinite, for
>>> all we know.
>>>
>>
>> It was opaque just before 380,000 years, when the CMBR emerged, precisely
>> because it was hugely hot and dense, so much so that light could get out.
>> Is this not observational evidence? AG
>>
>
> The universe becoming transparent at 380,000 years is strongly confirmed,
> we can see it.  We can confirm through observation our ideas concerning a
> much hotter earlier phase up to about one second, which confirms among
> other things the fraction of the primordial elements.
>
> Going back further things get less certain since we can't tie our
> predictions to observations, and eventually our theories break down as the
> temperatures would approach "absolute hot" and the blackbody photons become
> so energetic that their wavelength would be less than a Planck length and
> anything they touch recieves so much energy it becomes a black hole.  To go
> beyond this time we would need a quantum theory of gravity.
>
> But practicality all cosmologists think it is an over extrapolation to
> reach the singularity at time zero (they don't think that happened).
>
> That the universe eventually fell below 3000 degrees (at time 380,000
> years) and became transparent, while in evidence, implies nothing of the
> universe's size.  Only that it has been cooling as a result of space
> expanding.  A particle collision between two particles being separated by a
> growing space will each bounce away with less energy, just like gas
> particles hitting the wall if an expanding piston.
>
>
>>>
>>>>  If it were infinite at that time, its temperature would have been near
>>>> absolute zero. AG
>>>>
>>>
>>> I think you're working under the assumption that some finite amount of
>>> energy was injected into space at one particular point.  This is not what
>>> the big bang theory says, rather all space (everywhere there was space),
>>> was equally hot and dense.
>>>
>>
>> I am not assuming what you allege.
>>
>
> Okay.
>
> Yes, all space was hot and dense, but much smaller in spatial extent than
>> today. Just play the movie backward. AG
>>
>
> It's more correct to say things were closer together in the past than to
> say anything of the universe's size.  Because to extrapolate from average
> closeness to size only works in the case of a finite universe.
>
> I invite you to try playing the movie backwards for an infinite universe.
> If things get closer rewinding the clock, it's still infinite.  Cut the
> "scale factor" in half as many times as you like and the size would remain
> infinite.
>
>
>
>>> Inflation modifies the picture a bit where the vacuum of space expands
>>> rapidly due to its high energy density (which suggests a negative
>>> pressure). Under the equations of GR, such a state would expand itself
>>> exponentially.  Eventually parts of this vacuum decay to a lower energy
>>> density, and this dump of energy into space gives us the early hot stage of
>>> the big bang.
>>>
>>> We don't know how big this initial inflating space was, but if inflation
>>> is right, most of the universe is still experiencing exponential growth.
>>>
>>> Each pocket universe may be finite in volume, but extends infinitely in
>>> the time direction.
>>>
>>
>> Then why is there general agreement that the age of our bubble is 13.8 BY?
>>
>
> That time (13.8 BY) can now be viewed as the time since inflation ended
> (in our pocket).  But we don't know how long it's been since inflation
> started. It is believed to have started a finite time ago, but we can't say
> when.
>
> In the video with Guth, he draws a series of concentric parabola shapes,
> each one is a successive "now" for observers in the pocket.  The length of
> those lines is infinite because they curve upwards borrowing their extent
> into the future time dimension, but to observers within that distance is
> perceived as spatial.
>
>
>>
>>> As Alan Guth explains, GR can warp things in the internal view of each
>>> pocket universe such that the time and space dimensions flip, the infinite
>>> time dimension within the pocket universe can give rise to the appearance
>>> of infinite space, and the finite space appears as finite time:
>>>
>>> https://youtu.be/rfeJhzPq3jQ
>>>
>>
>> Time might, and probably does extend into an infinite future, but not
>> into an infinite past. Otherwise, cosmologists wouldn't agree that the age
>> of our bubble is 13.8 BY. What do you think that *measurement* means? AG
>>
>
> I agree with that. There's strong evidence for our pocket being 13.8 BY
> old, and arguments exist for why the universe should not be past eternal.
>
> Jason
>
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