On Monday, October 28, 2019 at 7:21:40 PM UTC-5, Lawrence Crowell wrote:
>
> On Monday, October 28, 2019 at 8:24:39 AM UTC-6, John Clark wrote:
>>
>> On Sun, Oct 27, 2019 at 8:56 PM Alan Grayson <[email protected]> wrote:
>>
>> On Sunday, October 27, 2019 at 10:04:42 AM UTC-6, Lawrence Crowell wrote:
>>>
>>> *Quantum mechanics makes no particular prediction on the continuity of 
>>>> spacetime. If one equates the Schwarzschild radius with a Compton 
>>>> wavelength you get the Planck scale of 1.6x10^{-35}m. However, this really 
>>>> just tells us one is not able to locate a qubit in a region smaller than 
>>>> this scale. The Fermi and Integral spacecraft data on arrival times of 
>>>> different wavelengths of radiation from burstars indicates spacetime is 
>>>> smooth to two orders of magnitude smaller than the Planck length.*
>>>>
>>>
>>> *> You're out of my depth here. If the Schwartzshild radius has one 
>>> value, and the Compton wavelength has another value, why would anyone want 
>>> to equate them? AG*
>>>
>>
>> The Compton wavelength of a particle is just the wavelength light would 
>> have if the mass of the particle were converted to energy. As the 
>> wavelength gets smaller the energy gets larger, at some point the energy 
>> gets so high and the distance so small it turns into a Black Hole; that 
>> distance is the Planck length the time it takes light to move that distance 
>> is the Planck Time and the amount of mass required is the Planck Mass which 
>> is about the mass of a flea egg. The most acceleration anything can have 
>> is the Planck Acceleration, it is the amount of acceleration needed to move 
>> something from a speed of zero to the speed of light in the Planck Time, 
>> and the hottest that things can get is the Planck Temperature (1.4*10^32 
>> Kelvin) because anything hotter would start radiating Black Holes instead 
>> of Blackbody Radiation. Or at least that's what Quantum Mechanics says, but 
>> if the evidence from the Fermi and Integral spacecraft holds up and 
>> spacetime really is smooth then something is wrong with this picture.
>>
>> John K Clark
>>
>
> That is basically it. The Planck scale does not say that spacetime is 
> sliced and diced up into chunks. It just says that if you try to localize a 
> qubit onto a region smaller than √(Għ/c^3) ~ 1.6×10^{-35}m one gets a 
> quantum of black hole that conceals the qubit for a tiny time interval 
> √(Għ/c^5) ~ 5×10^{-44}sec before it explodes into a huge number of low mass 
> particles. It is a sort of Heisenberg microscope argument. 
>
> The LQG machers were forced into a frantic fix on their loop theories that 
> had spacetime chopped up near the Planck scale. The data very much appears 
> to indicate that spacetime is not built up from chunks, but instead it may 
> be built from nonlocal quantum entanglements. So rather than spacetime 
> being a highly localized structure, with it might be added a lot of fine 
> tuning of variables, it is more an emergent phenomenon due to nonlocaly of 
> QM and entanglements. 
>
> LC
>


Of course space being made of "variables" vs. foam is a more mathematically 
Platonistic view.

*Emergent 4-dimensional linearized gravity from spin foam models*
https://arxiv.org/pdf/1812.02110.pdf 
<https://www.google.com/url?q=https%3A%2F%2Farxiv.org%2Fpdf%2F1812.02110.pdf&sa=D&sntz=1&usg=AFQjCNEvHw9-QxNM9tkpfXe2G2qqf4IB7Q>
 

In this paper, we show for the first time that smooth solutions of 
4-dimensional Einstein equation emerge from Spin Foam Models (SFMs) under 
an appropriate semiclassical continuum limit (SCL).



@philipthrift

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