I suppose it is worth pointing out that there is another CH4 coincidence,
not quite  as impressive as the protonAlphaG coincidence, but involving
multiplying the 1/2 electron spin by 2 for a full return to its original
phase:

0.8±0.15% relative error with the light age of the universe

(* Electron Phase Factor 1 and Light Age of the Universe *)
ReducedElectronComptonWavelength=codata["ElectronComptonWavelength"]/(2*Pi)
FullSpinElectron = 2 * ReducedElectronComptonWavelength (* 720 degrees =
spin 1 *)
LightAgeUniverseCH4=UnitConvert[CH4*FullSpinElectron,"LightYear"]
LightAgeUniverse =
UnitConvert[codata["UniverseAge"]*codata["SpeedOfLight"],"LightYear"]
RelativeError[LightAgeUniverse,LightAgeUniverseCH4]
(3.86159267\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](96\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]12\[NegativeVeryThinSpace])*10^-13)m
(7.72318535\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](92\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]23\[NegativeVeryThinSpace])*10^-13)m
(1.388932811\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](2\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]4\[NegativeVeryThinSpace])*10^10)ly
= (1.3778\[PlusMinus]0.0020)*10^10ly
= 0.0081\[PlusMinus]0.0015

On Wed, Apr 3, 2024 at 1:38 PM James Bowery <[email protected]> wrote:

> BTW* These proton, gravitation Large Number Coincidences are strong enough
> that it pretty much rules out the idea that gravitational phenomena can be
> attributed to anything but hadronic matter -- and that includes the 80% or
> so of gravitational phenomena attributed sometimes to "dark" matter.   So,
> does this mean some form of MOND (caused by hadronic matter)  and/or
> alternatively, some weakly interacting form of hadronic matter is
> necessary?
>
> * and I realize this is getting pretty far removed from anything relevant
> to practical "AGI" except insofar as the richest man in the world (last I
> heard) was the guy who wants to use it to discover what makes "the
> simulation" tick (xAI) and he's the guy who founded OpenAI, etc.
>
> On Wed, Apr 3, 2024 at 1:23 PM James Bowery <[email protected]> wrote:
>
>> Mark Rohrbaugh's formula, that I used to calculate the proton radius to a
>> higher degree of precision than QED or current measurements, results in a
>> slightly higher relative error with respect to the Hubble Surface
>> prediction, but that could be accounted for by the 11% tolerance in the
>> Hubble Surface calculation derived from the Hubble Radius, or the 2%
>> tolerance in the Hubble Volume calculation taken in ratio with the proton
>> volume calculated from the proton radius:
>>
>>
>> pradiusRohrbaugh=(8.41235641\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](35\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]26\[NegativeVeryThinSpace])*10^-16)m
>> pradiusRohrbaughPL=UnitConvert[pradiusRohrbaugh,"PlanckLength"]
>> pvolumeRohrbaugh=(4/3) Pi pradiusRohrbaughPL^3
>> h2pvolumeRohrbaugh=codata["HubbleVolume"]/pvolumeRohrbaugh
>>
>> RelativeError[QuantityMagnitude[h2pvolumeRohrbaugh],QuantityMagnitude[hsurface]]
>> (8.41235641\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](35\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]26\[NegativeVeryThinSpace])*10^-16)m
>> (5.20484478\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](84\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]16\[NegativeVeryThinSpace])*10^19)Subscript[l,
>> P]
>> (5.90625180\[NegativeVeryThinSpace]\[NegativeVeryThinSpace]\[NegativeVeryThinSpace](6\[NegativeThinSpace]\[PlusMinus]\[NegativeThinSpace]5\[NegativeVeryThinSpace])*10^59)Subsuperscript[l,
>> P, 3]
>> = (1.025\[PlusMinus]0.019)*10^123
>> = -0.123\[PlusMinus]0.022
>>
>>
>>
>> On Tue, Apr 2, 2024 at 9:16 AM James Bowery <[email protected]> wrote:
>>
>>> I get it now:
>>>
>>> pradius = UnitConvert[codata["ProtonRMSChargeRadius"],"PlanckLength"]
>>> = (5.206\[PlusMinus]0.012)*10^19Subscript[l, P]
>>> pvolume=(4/3) Pi pradius^3
>>> = (5.91\[PlusMinus]0.04)*10^59Subsuperscript[l, P, 3]
>>> h2pvolume=codata["HubbleVolume"]/pvolume
>>> = (1.024\[PlusMinus]0.020)*10^123
>>> hsurface=UnitConvert[4 Pi codata["HubbleLength"]^2,"PlanckArea"]
>>> = (8.99\[PlusMinus]0.11)*10^122Subsuperscript[l, P, 2]
>>> RelativeError[QuantityMagnitude[h2pvolume],QuantityMagnitude[hsurface]]
>>> = -0.122\[PlusMinus]0.023
>>>
>>> As Dirac-style "Large Number Coincidences" go, a -12±2% relative error
>>> is quite remarkable since Dirac was intrigued by coincidences with orders
>>> of magnitude errors!
>>>
>>> However, get a load of this:
>>>
>>> CH4=2^(2^(2^(2^2-1)-1)-1)-1
>>> = 170141183460469231731687303715884105727
>>> protonAlphaG=(codata["PlanckMass"]/codata["ProtonMass"])^2
>>> = (1.69315\[PlusMinus]0.00004)*10^38
>>> RelativeError[protonAlphaG,CH4]
>>> = 0.004880\[PlusMinus]0.000022
>>>
>>> 0.5±0.002% relative error!
>>>
>>> Explain that.
>>>
>>>
>>> On Sun, Mar 31, 2024 at 9:45 PM Matt Mahoney <[email protected]>
>>> wrote:
>>>
>>>> On Sun, Mar 31, 2024, 9:46 PM James Bowery <[email protected]> wrote:
>>>>
>>>>> Proton radius is about 5.2e19 Plank Lengths
>>>>>
>>>>
>>>> The Hubble radius is 13.8e9 light-years = 8.09e60 Planck lengths. So
>>>> 3.77e123 protons could be packed inside this sphere with surface area
>>>> 8.22e122 Planck areas.
>>>>
>>>> The significance of the Planck area is it bounds the entropy within to
>>>> A/4 nats, or 2.95e122 bits. This makes a bit the size of 12.7 protons, or
>>>> about a carbon nucleus. https://en.wikipedia.org/wiki/Bekenstein_bound
>>>>
>>>> 12.7 is about 4 x pi. It is a remarkable coincidence to derive
>>>> properties of particles from only G, h, c, and the age of the universe.
>>>>
>>>>>
>>>>> *Artificial General Intelligence List
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