On Sunday, September 15, 2019 at 6:36:25 AM UTC-6, Alan Grayson wrote:
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>
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> On Sunday, September 15, 2019 at 1:01:23 AM UTC-6, Jason wrote:
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>> On Sun, Sep 15, 2019 at 12:02 AM Alan Grayson <[email protected]> 
>> wrote:
>>
>>>
>>>
>>> On Saturday, September 14, 2019 at 4:34:28 PM UTC-6, Jason wrote:
>>>>
>>>>
>>>>
>>>> On Sat, Sep 14, 2019 at 3:06 PM Alan Grayson <[email protected]> 
>>>> wrote:
>>>>
>>>>>
>>>>>
>>>>> On Saturday, September 14, 2019 at 7:46:27 AM UTC-6, Jason wrote:
>>>>>>
>>>>>>
>>>>>>
>>>>>> On Sat, Sep 14, 2019, 4:36 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.
>>>>>>>>  
>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>  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.
>>>>>>>>
>>>>>>>
>>>>>>> I've never read a description of inflation where the universe is 
>>>>>>> described as very large spatially when it initiates. Never. It's always 
>>>>>>> claimed it begins a few Planck durations (10^-43 seconds) after the BB, 
>>>>>>> at 
>>>>>>> which time the spatial diameter is many orders of magnitudes smaller 
>>>>>>> than 
>>>>>>> the diameter of a proton. It then expands to the diameter of the Earth 
>>>>>>> or 
>>>>>>> the Solar System before terminating, all this occuring within the first 
>>>>>>> second after the BB. AG
>>>>>>>
>>>>>>
>>>>>> I think we need to clearly distinguish between three periods, which 
>>>>>> are frequently confused:
>>>>>>
>>>>>> 1. "quantum vacuum phase" Size: ??? Time: ???
>>>>>> If inflation began as a fluctuation in the vacuum, the vacuum was a 
>>>>>> pre-existing initial condition. We can say nothing of it's size or how 
>>>>>> long 
>>>>>> it has existed.  Alternatively, this vacuum may have already been in a 
>>>>>> state of exponential expansion and required no fluctuation to get 
>>>>>> started.
>>>>>>
>>>>>>
>>>>>> 2. "Inflation start" Size: (min = Planck size, max = ???) Time: (min 
>>>>>> = fraction of second before hot stage of BB, max = finite but otherwise 
>>>>>> unlimited time ago).
>>>>>> If inflation started as a fluctuation it could have started very 
>>>>>> small, but it would then grow exponentially forever.  How big it was 
>>>>>> when 
>>>>>> it stopped for us we can't say, but we can guess it had to have gone on 
>>>>>> for 
>>>>>> at least 10^-32 seconds to fit with observations.  This is only the 
>>>>>> minimum 
>>>>>> time, there's no known upper bound.  There's not necessarily any cooling 
>>>>>> during this time as the heat doesn't enter the picture until inflation 
>>>>>> begins to stop somewhere.
>>>>>>
>>>>>> 3. "Local inflation end", Size of inflating space: (undefined but 
>>>>>> ever growing), Size of pocket from outside: (finite but growing), 
>>>>>> Apparent 
>>>>>> size of pocket from inside: (finite or infinite depending on shape of 
>>>>>> the 
>>>>>> universe), Time: 13.8 BY ago.
>>>>>>
>>>>>> The "T = 0 of the BB" no longer makes sense in the inflation picture, 
>>>>>> the only place we can begin to speak of absolutes with time is when we 
>>>>>> speak of the local end to inflation in our pocket.
>>>>>>
>>>>>> Jason
>>>>>>
>>>>>
>>>>> I'll say it again. One the main reasons to posit inflation is to 
>>>>> explain the observable large scale homogeneity of a universe that is now 
>>>>> NOT causally connected. If the universe was very very tiny when inflation 
>>>>> started, it WAS then causally connected,
>>>>>
>>>>
>>>> The *observable* part of the universe is posited to have once been 
>>>> causally connected to come to thermal equilibrium but not necessarily the 
>>>> entire universe.
>>>>
>>>
>>> OK, but based on our best measurements, we live in a closed, 
>>> accelerating and expanding hypersphere, since the curvature is NOT zero and 
>>> NOT negative.
>>>
>>
>> Do you have a citation for this?  All the estimates I am familiar with 
>> assume a flat or slightly open shape.
>>  
>>
>>> I prefer to go with what we think we know, rather than with a model 
>>> which is completely speculative. AG
>>>
>>
>> Which is what?
>>
>
> I am looking for a citation, but I recall that someone on this thread 
> stated the measured curvature is close to zero, but POSITIVE. AG 
>
>>  
>>
>>>  
>>>>
>>>>> and inflation preserved the homogeneity. This is what Guth was trying 
>>>>> to solve with inflation, among other problems, such as no detectable 
>>>>> monopoles. This entire logic breaks down if one assumes an infinite 
>>>>> universe at the time of inflation.
>>>>>
>>>>
>>>> Correct, using inflation and previous causal connectedness does not 
>>>> produce for homogeneity of temperature to all parts of the universe if the 
>>>> universe is infinite.
>>>>
>>>
>>> So far, as I just stated, our best evidence
>>>
>>
>> There's no evidence either way, as far as I am aware, which is why i is 
>> still considered an open question.  If you can point me to some evidence I 
>> would be interested.
>>  
>>
>>> does NOT suggest an infinite universe. AG
>>>
>>
>> What are you calling as the universe here?  How are you defining it?  
>>
>
> I am referring to our bubble, which arose with the BB, and refers to the 
> observable and UNobservable regions (not to the possibly infinite substrate 
> from which it arose). AG 
>
>>  
>>
>>>   
>>>
>>>>   At best it can only extend to some finite region of that universe.  
>>>> But once you are working in an inflationary model, you already have 
>>>> accepted there is a large scale where the universe is not homogenous 
>>>> (pocket regions vs. the rapidly inflating regions of vacuum).
>>>>
>>>
>>> I don't see why assuming inflation implies acceptance of large parts of 
>>> the UNobservable universe which is NOT homogeneous. AG  
>>>
>>
>> Because decay events of the vacuum do not happen everywhere at once, this 
>> leads to isolated "pocket universes" separated by exponentially expanding 
>> space.  The inhomogenity I am referring to are the different parts of the 
>> vacuum in different energy states.
>>  
>>
>>>  
>>>>
>>>>> In this case, the infinite universe was always homogeneous even though 
>>>>> it was never causally connected. 
>>>>>
>>>>
>>>> That is another possibility that avoids inflation as an explanation of 
>>>> homogeneity:  To simply assume everything at all places began at the same 
>>>> temperature and density.
>>>>
>>>
>>> If so, why did Guth think homogeneity needed an explanation? On its 
>>> face, thermal equilibrium for a non causally connected universe seems 
>>> improbable. AG
>>>
>>
>> It came for free, with the other explanations.  On its own, I am not sure 
>> it would be justified to trade one assumption for another, but inflation 
>> replaced 4 or 5 assumptions with a single one, which is its main strength.
>>  
>>
>>>  
>>>>
>>>>> Further, how could it have been so hot 380,000 years after the BB if 
>>>>> it wasn't dense at that time?
>>>>>
>>>>
>>>> Actually the universe was not very dense at the time of 380,000 years.  
>>>> It was billions of times more sparse than Earth's atmosphere.  Each time 
>>>> the scale factor 
>>>> <https://en.wikipedia.org/wiki/Scale_factor_(cosmology)> halves going 
>>>> backwards in time, the temperature doubles, and the density increases by a 
>>>> factor of 8 (2 cubed).  You can follows this backwards at least until the 
>>>> temperature is about 10^27 K, far far hotter and denser than 380,000 
>>>> years, 
>>>> back to a time just a fraction of a second after inflation ended.
>>>>
>>>
>>> Yes, it was far hotter and denser just after the BB, than at 380,000 
>>> years. 
>>>
>>
>> Okay.
>>  
>>
>>> But contrary to what you allege above and below, it must have far hotter 
>>> and denser at 380,000 years, than it is today, 2.7 deg K, so hot and dense 
>>> that it was opaque to light. 
>>>
>>
>> I'm not sure how this is contrary to what I say above and below...  I 
>> agree it was hotter and denser the farther back you go.
>>
>
> And smaller as well? (BTW, "smaller" can't be a property of a spatially 
> infinite universe.) It had to have gotten smaller to explain its present 
> homogeneity. I want to avoid the assumption that homogeneity can arise 
> spontaneously in a causally DIS-connected universe, the one we observe. And 
> I don't believe that at 380,000 years it was less dense than our atmosphere 
> (as you earlier alleged). AG 
>
>>  
>>
>>> I am just saying that it does seem to be cooling as it expands, 
>>>
>>
>> Yes.
>>  
>>
>>> and the curvature data seems to imply smallness just after the BB. 
>>>
>>
>> What curvature data are you referring to?  The latest Planck data say the 
>> curvature is flat to within the limits of our measurement accuracy.  Is 
>> there a new result that indicates positive curvature?
>>
>
> "Flat" means curvature is exactly zero; that is, flat like a Euclidean 
> plane. But if we measure slightly positive, which I think is the case, it 
> must be a closed hyperspace, but HUGE. Physicists tend to equate "almost 
> flat", which if true would mean a huge spherical hyperspace, with Euclidean 
> flat. This is a persistent error. AG 
>
> What I don't understand is why, a universe with accelerating expansion, 
> must be open, like a saddle. Why can't a spherical hyperspace retain its 
> closure if its expansion is accelerating? AG
>
>>  
>>
>>> Moreover, applying the Cosmological principle, it couldn't have been 
>>> homogeneous on large scale in the finite observable region, and at the same 
>>> time infinite and non-homogeneous in regions we can't observe. AG
>>>
>>
>> It all comes down to scale.  At the scale of stars or galaxies, the 
>> universe is non homogeneous, on the scale of super clusters and above it 
>> is, but at larger scales of inflating vacuums and pocket universes, again 
>> it is non homogeneous, but perhaps if you zoom out far enough the picture 
>> becomes homogeneous again.  The non-homogeneous part I am referring to can 
>> be seen as the spiky image, a rendering of eternal inflation: 
>> https://www.preposterousuniverse.com/blog/2011/10/21/the-eternally-existing-self-reproducing-frequently-puzzling-inflationary-universe/
>>
>
> I would forget about inflating vacuums and pocket universes, which are 
> totally speculative, and focus on what we can observe -- which, on a large 
> scale, is homogeneous. Why trash the Cosmological Principle by appealig to 
> unobservable phenomena? AG 
>
>>
>> Jason
>>  
>>
>>>  
>>>>
>>>>> An infinite universe right after the BB would be COOL, 
>>>>>
>>>>
>>>> Right after inflation predicts it could have been as high as 10^27 
>>>> degrees.
>>>> Our observations agree with our theory which predicts at about 1 second 
>>>> it was 10s of billions of degrees, falling to 10s of millions of degrees 
>>>> after 20 minutes.
>>>> At 380,000 years the temperature was about 3000 degrees.
>>>> At 13.8 billion years it is about 2.7 degrees.
>>>>
>>>> From: http://kias.dyndns.org/astrophys/cosmology.html
>>>> eventtemperature (K)scale factornow / scale factorthentime
>>>> strong forces freeze out 1027 3.7 * 1026 10-35 s
>>>> weak forces freeze out 1015 3.7 * 1014 10-10 s
>>>> protons, neutrons freeze out 1013 3.7 * 1012 0.0001 s
>>>> neutrinos <http://kias.dyndns.org/astrophys/particles.html> decouple 3 
>>>> * 1010 1.1 * 1010 1 s
>>>> electrons freeze out 6 * 109 2.2 * 109 100 s
>>>> primordial 2H, 4He form 9 * 108 3.3 * 108 2-15 minutes
>>>>  
>>>> eventtemperature (K)scale factornow / scale factorthentime
>>>> photons decouple, atoms form 3000 1091 377000 years
>>>> first stars 60 10.4 109 years
>>>> today 2.73 1 1.378 * 1010 years
>>>>
>>>> and COOLER after 380,000 years had elapsed. All of the foregoing makes 
>>>>> a decent case for a universe which was very very tiny right after the BB. 
>>>>> AG 
>>>>>
>>>>
>>>> I still see no connection between the temperature at time 380,000 
>>>> years, and the size of the universe.  Can you do more to explain more why 
>>>> you think there is a relation?  I can see how you might relate the initial 
>>>> temperature and density at an earlier time to the temperature and density 
>>>> after 380,000 years, but I am not seeing how you relate the size of the 
>>>> universe to either the temperature or density at time 380,000 years.
>>>>
>>>
*Oh, because the temperature is decreasing from just after the BB to 
380,000 years, we need a very small universe to inflate to explain the 
current homogeneity. Otherwise the present large scale homogeneity is only 
explicable by appealing to highly improbable chance in a causally 
disconnected universe, our present universe. AG *

>
>>>> Jason
>>>>
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